# Analysis of Redstart data illustrating basic RMark features

# 2019-05-01 CJS Initial code

# Sherry TW, Wilson S, Hunter S, Holmes RT (2015) 
# Impacts of nest predators and weather on reproductive success and 
# population limitation in a long-distance migratory songbird. 
# Journal of Avian Biology 46(6): 559-569. https://doi.org/10.1111/jav.00536

# Data from
# Sherry TW, Wilson S, Hunter S, Holmes RT (2015) 
# Data from: Impacts of nest predators and weather on reproductive success and 
# population limitation in a long-distance migratory songbird. 
# Dryad Digital Repository. https://doi.org/10.5061/dryad.73870


library(ggplot2)
## Registered S3 methods overwritten by 'ggplot2':
##   method         from 
##   [.quosures     rlang
##   c.quosures     rlang
##   print.quosures rlang
library(readxl)
library(RMark)
## This is RMark 2.2.6
##  Documentation available at http://www.phidot.org/software/mark/rmark/RMarkDocumentation.zip
# The dataframe must contain the following fields with the following names
#
#    FirstFound: day the nest was first found
#    LastPresent: last day that a chick was present in the nest
#    LastChecked: last day the nest was checked
#    Fate: fate of the nest; 0=hatch an
#    Freq: number of nests with this data
#
# In this example, the multiple visits to a nest have been collapsed
# to a single record for each nest.
# In more complex examples, you may have multple records per nest
# as shown in the mallard example.
#

reddata <- readxl::read_excel(file.path("..","Sherry.xlsx"), 
                               sheet="NestData")
reddata <- as.data.frame(reddata) # Rmark gets upset with tibbles
head(reddata)
##         NestId FirstFound LastPresent LastChecked Fate Freq Height
## 1 /*1983-175*/         11          11          18    1    1   16.9
## 2 /*1983-176*/         13          22          23    1    1   10.5
## 3 /*1983-178*/          7          26          26    0    1    4.8
## 4 /*1983-180*/         12          14          20    1    1    3.7
## 5 /*1983-181*/          6          20          25    1    1   10.7
## 6 /*1983-182*/         11          19          20    1    1   17.8
##   BaffleStatus  DBH AgeDay1 Year
## 1            N 39.0      -8 1983
## 2            N 10.7     -10 1983
## 3            N  8.8      -4 1983
## 4            N  5.1      -9 1983
## 5            N 15.6      -3 1983
## 6            N 46.2      -8 1983
range(reddata$FirstFound)
## [1]  1 56
range(reddata$LastPresent)
## [1]  2 62
range(reddata$LastChecked)
## [1]  3 62
# what are the parameters of the model
# There is only one parameter, the daily survival probality (S)
setup.parameters("Nest", check=TRUE)
## [1] "S"
# Baffled nests only

dim(reddata)
## [1] 537  11
reddata.baf <- reddata[ reddata$BaffleStatus=="Y",]
dim(reddata.baf)
## [1] 71 11
# 1. Process the data.
# The nocc variable is the data at which hatching occurs
red.baf.proc <- process.data(reddata.baf, model="Nest", nocc=max(reddata.baf$LastChecked))
red.baf.proc
## $data
##            NestId FirstFound LastPresent LastChecked Fate freq Height
## 80   /*1985-444*/         10          32          32    0    1   9.30
## 81   /*1985-448*/         18          31          35    1    1  16.70
## 82   /*1985-449*/          9          32          32    0    1   5.90
## 83   /*1985-450*/         10          33          33    0    1   3.30
## 84   /*1985-451*/          4          25          25    0    1   6.70
## 85   /*1985-457*/         11          18          21    1    1   1.90
## 86   /*1985-458*/         15          35          35    0    1  14.60
## 91   /*1985-464*/         12          26          26    0    1   3.60
## 110  /*1986-538*/          7          27          27    0    1  14.00
## 111  /*1986-539*/          4          26          26    0    1   3.90
## 114  /*1986-548*/          4          25          25    0    1   1.79
## 119  /*1986-569*/          4          26          26    0    1   5.00
## 129  /*1986-593*/         17          37          37    0    1  16.31
## 136  /*1986-638*/         22          30          30    0    1  13.30
## 138  /*1986-645*/         23          25          25    0    1  14.33
## 140  /*1986-649*/         23          35          35    0    1   1.21
## 149  /*1986-661*/         32          53          53    0    1   4.40
## 153  /*1987-680*/          3          23          23    0    1  15.35
## 177  /*1987-803*/         21          26          27    1    1   6.09
## 181  /*1987-811*/         22          38          38    0    1   5.53
## 183  /*1987-819*/         23          34          34    0    1   4.85
## 197  /*1988-896*/          9          15          19    1    1   4.70
## 203  /*1988-917*/          9          30          30    0    1   1.60
## 205  /*1988-922*/         17          33          37    1    1  20.10
## 207  /*1988-935*/         16          31          31    0    1   3.20
## 208  /*1988-936*/         11          32          32    0    1   4.10
## 210  /*1988-942*/         21          30          30    0    1   2.90
## 213  /*1988-959*/         15          29          29    0    1  13.00
## 215  /*1988-961*/         17          39          39    0    1  12.70
## 217  /*1988-963*/         22          43          43    0    1   4.40
## 219  /*1988-970*/         23          29          29    0    1  14.00
## 235 /*1989-1071*/          8          29          29    0    1   9.80
## 237 /*1989-1077*/          3          25          25    0    1  13.50
## 238 /*1989-1078*/          8          25          25    0    1  10.90
## 241 /*1989-1104*/          9          18          21    1    1   9.20
## 250 /*1989-1121*/         11          26          26    0    1   3.70
## 253 /*1989-1125*/         24          27          30    1    1  19.90
## 255 /*1989-1129*/         25          36          36    0    1   3.00
## 259 /*1989-1135*/         23          41          41    0    1   1.30
## 265 /*1989-1155*/          9          32          32    0    1   2.50
## 266 /*1989-1156*/         11          24          27    1    1  17.10
## 267 /*1989-1158*/         11          18          20    1    1   1.60
## 270 /*1989-1163*/         16          30          30    0    1   3.70
## 333  /*1991-209*/          6          27          27    0    1   3.15
## 342  /*1991-223*/          1          22          22    0    1   3.50
## 353  /*1991-247*/         14          30          30    0    1   3.40
## 355  /*1991-252*/         15          27          27    0    1   1.25
## 378  /*1992-216*/          9          29          29    0    1   3.20
## 380  /*1992-220*/          8          29          29    0    1   2.00
## 418  /*1992-302*/         24          42          42    0    1   2.20
## 419  /*1992-303*/         27          31          32    1    1   5.00
## 422  /*1992-307*/         23          40          41    1    1   5.90
## 431  /*1992-320*/         35          44          45    1    1   4.10
## 439  /*1993-211*/          3           5           8    1    1   3.00
## 440  /*1993-212*/          2          23          23    0    1   2.50
## 441  /*1993-213*/          2          13          14    1    1   3.90
## 443  /*1993-218*/          9          30          30    0    1   4.40
## 447  /*1993-228*/         17          25          27    1    1   1.50
## 448  /*1993-229*/          8          28          28    0    1  10.80
## 449  /*1993-230*/          4          20          23    1    1   2.10
## 459  /*1993-252*/         20          39          39    0    1   3.40
## 470  /*1993-270*/         14          27          28    1    1   8.00
## 487  /*1993-303*/         35          56          56    0    1   3.40
## 489  /*1994-152*/          4          26          26    0    1   4.32
## 500  /*1994-171*/         15          31          31    0    1   2.92
## 502  /*1994-173*/         19          33          33    0    1   1.82
## 503  /*1994-174*/         17          38          38    0    1   2.93
## 504  /*1994-177*/         19          27          28    1    1   4.75
## 509  /*1994-182*/         21          31          31    0    1   2.53
## 517  /*1995-102*/          4          15          16    1    1   3.67
## 522  /*1995-113*/          9          28          28    0    1   3.11
##     BaffleStatus   DBH AgeDay1 Year
## 80             Y 27.90      -7 1985
## 81             Y 22.90     -15 1985
## 82             Y  4.80      -6 1985
## 83             Y  3.00      -6 1985
## 84             Y  5.10      -1 1985
## 85             Y  1.80      -8 1985
## 86             Y 23.30     -12 1985
## 91             Y  5.80      -2 1985
## 110            Y 33.30      -4 1986
## 111            Y  6.60      -1 1986
## 114            Y  8.20      -1 1986
## 119            Y  3.00      -1 1986
## 129            Y 54.40     -14 1986
## 136            Y 12.10      -7 1986
## 138            Y 33.10      -2 1986
## 140            Y  1.40     -12 1986
## 149            Y  8.80     -29 1986
## 153            Y 32.20       0 1987
## 177            Y  6.70      -8 1987
## 181            Y  9.60       0 1987
## 183            Y 14.10     -11 1987
## 197            Y  6.10      -6 1988
## 203            Y  6.60      -6 1988
## 205            Y 49.30     -14 1988
## 207            Y  5.10      -8 1988
## 208            Y  7.50      -7 1988
## 210            Y  4.70      -7 1988
## 213            Y 22.50      -7 1988
## 215            Y 18.00      -6 1988
## 217            Y 36.10     -20 1988
## 219            Y 35.00      -6 1988
## 235            Y 26.80      -4 1989
## 237            Y 13.00       0 1989
## 238            Y 12.60      -5 1989
## 241            Y 12.60      -3 1989
## 250            Y  3.70      -3 1989
## 253            Y 29.90     -11 1989
## 255            Y  4.10     -13 1989
## 259            Y  1.00     -20 1989
## 265            Y  5.50      -6 1989
## 266            Y 27.00      -7 1989
## 267            Y  5.40      -8 1989
## 270            Y  5.20      -7 1989
## 333            Y  5.10      -2 1991
## 342            Y  7.90       2 1991
## 353            Y  9.40      -7 1991
## 355            Y  3.30      -3 1991
## 378            Y  6.70      -6 1992
## 380            Y  2.20      -5 1992
## 418            Y  4.80     -18 1992
## 419            Y  5.50     -18 1992
## 422            Y  5.30     -21 1992
## 431            Y  6.70     -33 1992
## 439            Y  5.50       0 1993
## 440            Y  4.80       1 1993
## 441            Y  3.30       1 1993
## 443            Y  5.70      -6 1993
## 447            Y  3.00     -15 1993
## 448            Y 24.70      -5 1993
## 449            Y  5.05      -1 1993
## 459            Y  6.80     -17 1993
## 470            Y 16.40     -11 1993
## 487            Y  4.15     -33 1993
## 489            Y  5.90      -1 1994
## 500            Y  5.20      -7 1994
## 502            Y  3.90      -9 1994
## 503            Y  7.10     -14 1994
## 504            Y  9.20     -13 1994
## 509            Y  4.90      -9 1994
## 517            Y  6.60      -1 1995
## 522            Y  4.00      -6 1995
## 
## $model
## [1] "Nest"
## 
## $mixtures
## [1] 1
## 
## $freq
##    group1
## 1       1
## 2       1
## 3       1
## 4       1
## 5       1
## 6       1
## 7       1
## 8       1
## 9       1
## 10      1
## 11      1
## 12      1
## 13      1
## 14      1
## 15      1
## 16      1
## 17      1
## 18      1
## 19      1
## 20      1
## 21      1
## 22      1
## 23      1
## 24      1
## 25      1
## 26      1
## 27      1
## 28      1
## 29      1
## 30      1
## 31      1
## 32      1
## 33      1
## 34      1
## 35      1
## 36      1
## 37      1
## 38      1
## 39      1
## 40      1
## 41      1
## 42      1
## 43      1
## 44      1
## 45      1
## 46      1
## 47      1
## 48      1
## 49      1
## 50      1
## 51      1
## 52      1
## 53      1
## 54      1
## 55      1
## 56      1
## 57      1
## 58      1
## 59      1
## 60      1
## 61      1
## 62      1
## 63      1
## 64      1
## 65      1
## 66      1
## 67      1
## 68      1
## 69      1
## 70      1
## 71      1
## 
## $nocc
## [1] 56
## 
## $nocc.secondary
## NULL
## 
## $time.intervals
##  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## 
## $begin.time
## [1] 1
## 
## $age.unit
## [1] 1
## 
## $initial.ages
## [1] 0
## 
## $group.covariates
## NULL
## 
## $nstrata
## [1] 1
## 
## $strata.labels
## [1] ""
## 
## $counts
## NULL
## 
## $reverse
## [1] FALSE
## 
## $areas
## NULL
## 
## $events
## NULL
# 2. Examine and/or modify the ddl. (Not done here)
red.baf.ddl <- make.design.data(red.baf.proc)
str(red.baf.ddl)
## List of 2
##  $ S       :'data.frame':    55 obs. of  7 variables:
##   ..$ par.index  : int [1:55] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ model.index: num [1:55] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ group      : Factor w/ 1 level "1": 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ age        : Factor w/ 55 levels "0","1","2","3",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ time       : Factor w/ 55 levels "1","2","3","4",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ Age        : num [1:55] 0 1 2 3 4 5 6 7 8 9 ...
##   ..$ Time       : num [1:55] 0 1 2 3 4 5 6 7 8 9 ...
##  $ pimtypes:List of 1
##   ..$ S:List of 1
##   .. ..$ pim.type: chr "all"
red.baf.ddl 
## $S
##    par.index model.index group age time Age Time
## 1          1           1     1   0    1   0    0
## 2          2           2     1   1    2   1    1
## 3          3           3     1   2    3   2    2
## 4          4           4     1   3    4   3    3
## 5          5           5     1   4    5   4    4
## 6          6           6     1   5    6   5    5
## 7          7           7     1   6    7   6    6
## 8          8           8     1   7    8   7    7
## 9          9           9     1   8    9   8    8
## 10        10          10     1   9   10   9    9
## 11        11          11     1  10   11  10   10
## 12        12          12     1  11   12  11   11
## 13        13          13     1  12   13  12   12
## 14        14          14     1  13   14  13   13
## 15        15          15     1  14   15  14   14
## 16        16          16     1  15   16  15   15
## 17        17          17     1  16   17  16   16
## 18        18          18     1  17   18  17   17
## 19        19          19     1  18   19  18   18
## 20        20          20     1  19   20  19   19
## 21        21          21     1  20   21  20   20
## 22        22          22     1  21   22  21   21
## 23        23          23     1  22   23  22   22
## 24        24          24     1  23   24  23   23
## 25        25          25     1  24   25  24   24
## 26        26          26     1  25   26  25   25
## 27        27          27     1  26   27  26   26
## 28        28          28     1  27   28  27   27
## 29        29          29     1  28   29  28   28
## 30        30          30     1  29   30  29   29
## 31        31          31     1  30   31  30   30
## 32        32          32     1  31   32  31   31
## 33        33          33     1  32   33  32   32
## 34        34          34     1  33   34  33   33
## 35        35          35     1  34   35  34   34
## 36        36          36     1  35   36  35   35
## 37        37          37     1  36   37  36   36
## 38        38          38     1  37   38  37   37
## 39        39          39     1  38   39  38   38
## 40        40          40     1  39   40  39   39
## 41        41          41     1  40   41  40   40
## 42        42          42     1  41   42  41   41
## 43        43          43     1  42   43  42   42
## 44        44          44     1  43   44  43   43
## 45        45          45     1  44   45  44   44
## 46        46          46     1  45   46  45   45
## 47        47          47     1  46   47  46   46
## 48        48          48     1  47   48  47   47
## 49        49          49     1  48   49  48   48
## 50        50          50     1  49   50  49   49
## 51        51          51     1  50   51  50   50
## 52        52          52     1  51   52  51   51
## 53        53          53     1  52   53  52   52
## 54        54          54     1  53   54  53   53
## 55        55          55     1  54   55  54   54
## 
## $pimtypes
## $pimtypes$S
## $pimtypes$S$pim.type
## [1] "all"
# 3. Fit a particular model
# This is a model with S constant over time (closest to Mayfield method)
mod.baf <-  RMark::mark(red.baf.proc, ddl=red.baf.ddl,
                          model="Nest",
                          model.parameters=list(
                            S   =list(formula=~1)
                          )
  )
## 
## Output summary for Nest model
## Name : S(~1) 
## 
## Npar :  1
## -2lnL:  168.636
## AICc :  170.6396
## 
## Beta
##               estimate        se      lcl      ucl
## S:(Intercept) 4.068001 0.2313847 3.614487 4.521515
## 
## 
## Real Parameter S
##          1         2         3         4         5         6         7
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##          8         9        10        11        12        13        14
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         15        16        17        18        19        20        21
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         22        23        24        25        26        27        28
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         29        30        31        32        33        34        35
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         36        37        38        39        40        41        42
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         43        44        45        46        47        48        49
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         50        51        52        53        54        55
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
summary(mod.baf)
## Output summary for Nest model
## Name : S(~1) 
## 
## Npar :  1
## -2lnL:  168.636
## AICc :  170.6396
## 
## Beta
##               estimate        se      lcl      ucl
## S:(Intercept) 4.068001 0.2313847 3.614487 4.521515
## 
## 
## Real Parameter S
##          1         2         3         4         5         6         7
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##          8         9        10        11        12        13        14
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         15        16        17        18        19        20        21
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         22        23        24        25        26        27        28
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         29        30        31        32        33        34        35
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         36        37        38        39        40        41        42
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         43        44        45        46        47        48        49
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
##         50        51        52        53        54        55
##  0.9831763 0.9831763 0.9831763 0.9831763 0.9831763 0.9831763
# Look the objects returned in more details
names(mod.baf)
##  [1] "data"             "model"            "title"           
##  [4] "model.name"       "links"            "mixtures"        
##  [7] "call"             "parameters"       "time.intervals"  
## [10] "number.of.groups" "group.labels"     "nocc"            
## [13] "begin.time"       "covariates"       "fixed"           
## [16] "design.matrix"    "pims"             "design.data"     
## [19] "strata.labels"    "mlogit.list"      "profile.int"     
## [22] "simplify"         "model.parameters" "results"         
## [25] "output"
names(mod.baf$results)
##  [1] "lnl"              "deviance"         "deviance.df"     
##  [4] "npar"             "n"                "AICc"            
##  [7] "beta"             "real"             "beta.vcv"        
## [10] "derived"          "derived.vcv"      "covariate.values"
## [13] "singular"         "real.vcv"
# look at estimates on beta and original scale
mod.baf$results$beta  # on the logit scale
##               estimate        se      lcl      ucl
## S:(Intercept) 4.068001 0.2313847 3.614487 4.521515
mod.baf$results$real# on the regular 0-1 scale for each site
##             estimate        se       lcl       ucl fixed    note
## S g1 a0 t1 0.9831763 0.0038273 0.9737755 0.9892444
# derived variabldes is the nest survival probability over the 40 (nocc) days 
names(mod.baf$results$derived)
## [1] "S Overall Survival"
mod.baf$results$derived$"S Overall Survival"
##    estimate         se       lcl       ucl
## 1 0.3933031 0.08420636 0.2450622 0.5642001
# alternatively
get.real(mod.baf, "S", se=TRUE)
##              all.diff.index par.index  estimate        se       lcl
## S g1 a0 t1                1         1 0.9831763 0.0038273 0.9737755
## S g1 a1 t2                2         1 0.9831763 0.0038273 0.9737755
## S g1 a2 t3                3         1 0.9831763 0.0038273 0.9737755
## S g1 a3 t4                4         1 0.9831763 0.0038273 0.9737755
## S g1 a4 t5                5         1 0.9831763 0.0038273 0.9737755
## S g1 a5 t6                6         1 0.9831763 0.0038273 0.9737755
## S g1 a6 t7                7         1 0.9831763 0.0038273 0.9737755
## S g1 a7 t8                8         1 0.9831763 0.0038273 0.9737755
## S g1 a8 t9                9         1 0.9831763 0.0038273 0.9737755
## S g1 a9 t10              10         1 0.9831763 0.0038273 0.9737755
## S g1 a10 t11             11         1 0.9831763 0.0038273 0.9737755
## S g1 a11 t12             12         1 0.9831763 0.0038273 0.9737755
## S g1 a12 t13             13         1 0.9831763 0.0038273 0.9737755
## S g1 a13 t14             14         1 0.9831763 0.0038273 0.9737755
## S g1 a14 t15             15         1 0.9831763 0.0038273 0.9737755
## S g1 a15 t16             16         1 0.9831763 0.0038273 0.9737755
## S g1 a16 t17             17         1 0.9831763 0.0038273 0.9737755
## S g1 a17 t18             18         1 0.9831763 0.0038273 0.9737755
## S g1 a18 t19             19         1 0.9831763 0.0038273 0.9737755
## S g1 a19 t20             20         1 0.9831763 0.0038273 0.9737755
## S g1 a20 t21             21         1 0.9831763 0.0038273 0.9737755
## S g1 a21 t22             22         1 0.9831763 0.0038273 0.9737755
## S g1 a22 t23             23         1 0.9831763 0.0038273 0.9737755
## S g1 a23 t24             24         1 0.9831763 0.0038273 0.9737755
## S g1 a24 t25             25         1 0.9831763 0.0038273 0.9737755
## S g1 a25 t26             26         1 0.9831763 0.0038273 0.9737755
## S g1 a26 t27             27         1 0.9831763 0.0038273 0.9737755
## S g1 a27 t28             28         1 0.9831763 0.0038273 0.9737755
## S g1 a28 t29             29         1 0.9831763 0.0038273 0.9737755
## S g1 a29 t30             30         1 0.9831763 0.0038273 0.9737755
## S g1 a30 t31             31         1 0.9831763 0.0038273 0.9737755
## S g1 a31 t32             32         1 0.9831763 0.0038273 0.9737755
## S g1 a32 t33             33         1 0.9831763 0.0038273 0.9737755
## S g1 a33 t34             34         1 0.9831763 0.0038273 0.9737755
## S g1 a34 t35             35         1 0.9831763 0.0038273 0.9737755
## S g1 a35 t36             36         1 0.9831763 0.0038273 0.9737755
## S g1 a36 t37             37         1 0.9831763 0.0038273 0.9737755
## S g1 a37 t38             38         1 0.9831763 0.0038273 0.9737755
## S g1 a38 t39             39         1 0.9831763 0.0038273 0.9737755
## S g1 a39 t40             40         1 0.9831763 0.0038273 0.9737755
## S g1 a40 t41             41         1 0.9831763 0.0038273 0.9737755
## S g1 a41 t42             42         1 0.9831763 0.0038273 0.9737755
## S g1 a42 t43             43         1 0.9831763 0.0038273 0.9737755
## S g1 a43 t44             44         1 0.9831763 0.0038273 0.9737755
## S g1 a44 t45             45         1 0.9831763 0.0038273 0.9737755
## S g1 a45 t46             46         1 0.9831763 0.0038273 0.9737755
## S g1 a46 t47             47         1 0.9831763 0.0038273 0.9737755
## S g1 a47 t48             48         1 0.9831763 0.0038273 0.9737755
## S g1 a48 t49             49         1 0.9831763 0.0038273 0.9737755
## S g1 a49 t50             50         1 0.9831763 0.0038273 0.9737755
## S g1 a50 t51             51         1 0.9831763 0.0038273 0.9737755
## S g1 a51 t52             52         1 0.9831763 0.0038273 0.9737755
## S g1 a52 t53             53         1 0.9831763 0.0038273 0.9737755
## S g1 a53 t54             54         1 0.9831763 0.0038273 0.9737755
## S g1 a54 t55             55         1 0.9831763 0.0038273 0.9737755
##                    ucl fixed    note group age time Age Time
## S g1 a0 t1   0.9892444                   1   0    1   0    0
## S g1 a1 t2   0.9892444                   1   1    2   1    1
## S g1 a2 t3   0.9892444                   1   2    3   2    2
## S g1 a3 t4   0.9892444                   1   3    4   3    3
## S g1 a4 t5   0.9892444                   1   4    5   4    4
## S g1 a5 t6   0.9892444                   1   5    6   5    5
## S g1 a6 t7   0.9892444                   1   6    7   6    6
## S g1 a7 t8   0.9892444                   1   7    8   7    7
## S g1 a8 t9   0.9892444                   1   8    9   8    8
## S g1 a9 t10  0.9892444                   1   9   10   9    9
## S g1 a10 t11 0.9892444                   1  10   11  10   10
## S g1 a11 t12 0.9892444                   1  11   12  11   11
## S g1 a12 t13 0.9892444                   1  12   13  12   12
## S g1 a13 t14 0.9892444                   1  13   14  13   13
## S g1 a14 t15 0.9892444                   1  14   15  14   14
## S g1 a15 t16 0.9892444                   1  15   16  15   15
## S g1 a16 t17 0.9892444                   1  16   17  16   16
## S g1 a17 t18 0.9892444                   1  17   18  17   17
## S g1 a18 t19 0.9892444                   1  18   19  18   18
## S g1 a19 t20 0.9892444                   1  19   20  19   19
## S g1 a20 t21 0.9892444                   1  20   21  20   20
## S g1 a21 t22 0.9892444                   1  21   22  21   21
## S g1 a22 t23 0.9892444                   1  22   23  22   22
## S g1 a23 t24 0.9892444                   1  23   24  23   23
## S g1 a24 t25 0.9892444                   1  24   25  24   24
## S g1 a25 t26 0.9892444                   1  25   26  25   25
## S g1 a26 t27 0.9892444                   1  26   27  26   26
## S g1 a27 t28 0.9892444                   1  27   28  27   27
## S g1 a28 t29 0.9892444                   1  28   29  28   28
## S g1 a29 t30 0.9892444                   1  29   30  29   29
## S g1 a30 t31 0.9892444                   1  30   31  30   30
## S g1 a31 t32 0.9892444                   1  31   32  31   31
## S g1 a32 t33 0.9892444                   1  32   33  32   32
## S g1 a33 t34 0.9892444                   1  33   34  33   33
## S g1 a34 t35 0.9892444                   1  34   35  34   34
## S g1 a35 t36 0.9892444                   1  35   36  35   35
## S g1 a36 t37 0.9892444                   1  36   37  36   36
## S g1 a37 t38 0.9892444                   1  37   38  37   37
## S g1 a38 t39 0.9892444                   1  38   39  38   38
## S g1 a39 t40 0.9892444                   1  39   40  39   39
## S g1 a40 t41 0.9892444                   1  40   41  40   40
## S g1 a41 t42 0.9892444                   1  41   42  41   41
## S g1 a42 t43 0.9892444                   1  42   43  42   42
## S g1 a43 t44 0.9892444                   1  43   44  43   43
## S g1 a44 t45 0.9892444                   1  44   45  44   44
## S g1 a45 t46 0.9892444                   1  45   46  45   45
## S g1 a46 t47 0.9892444                   1  46   47  46   46
## S g1 a47 t48 0.9892444                   1  47   48  47   47
## S g1 a48 t49 0.9892444                   1  48   49  48   48
## S g1 a49 t50 0.9892444                   1  49   50  49   49
## S g1 a50 t51 0.9892444                   1  50   51  50   50
## S g1 a51 t52 0.9892444                   1  51   52  51   51
## S g1 a52 t53 0.9892444                   1  52   53  52   52
## S g1 a53 t54 0.9892444                   1  53   54  53   53
## S g1 a54 t55 0.9892444                   1  54   55  54   54
# Notice that the nest survival is the product of the individual S
prod(get.real(mod.baf, "S", se=TRUE)$estimate)
## [1] 0.3933028
# problem is that the derived parameter is computed over 61 days (nocc)
# we only want the probability computed over 20 days.
# Use the deltamethod.special function

# for all 61 days
prod(get.real(mod.baf, "S", se=TRUE)$estimate)
## [1] 0.3933028
deltamethod.special("prod", 
                    get.real(mod.baf, "S", se=TRUE)$estimate,
                    get.real(mod.baf, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real)
## [1] 0.08420649
# for 20 days
prod(get.real(mod.baf, "S", se=TRUE)$estimate[1:20])
## [1] 0.7122427
deltamethod.special("prod", 
                    get.real(mod.baf, "S", se=TRUE)$estimate[1:20],
                    get.real(mod.baf, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real[1:20, 1:20])
## [1] 0.05545157
# control nests only

dim(reddata)
## [1] 537  11
reddata.cntl <- reddata[ reddata$BaffleStatus=="N" & !reddata$Year %in% c(1983, 1984, 1990),]
dim(reddata.cntl)
## [1] 343  11
# 1. Process the data.
# The nocc variable is the data at which hatching occurs
red.cntl.proc <- process.data(reddata.cntl, model="Nest", nocc=max(reddata.cntl$LastChecked))
red.cntl.proc
## $data
##            NestId FirstFound LastPresent LastChecked Fate freq Height
## 71   /*1985-434*/          7          27          27    0    1   2.60
## 72   /*1985-435*/          8           8          15    1    1   2.40
## 73   /*1985-436*/          7           8          15    1    1   2.90
## 74   /*1985-437*/          7           8          12    1    1   8.50
## 75   /*1985-438*/          6          26          26    0    1  10.00
## 76   /*1985-439*/         15          25          25    0    1  28.40
## 77   /*1985-441*/          7          28          28    0    1   3.40
## 78   /*1985-442*/          6          28          28    0    1   2.00
## 79   /*1985-443*/         11          33          33    0    1   3.80
## 87   /*1985-459*/          8          19          22    1    1   4.00
## 88   /*1985-460*/         12          29          31    1    1   3.50
## 89   /*1985-462*/         16          32          35    1    1   4.00
## 90   /*1985-463*/         18          38          38    0    1  13.80
## 92   /*1985-469*/         10          30          30    0    1   1.95
## 93   /*1985-485*/         21          28          31    1    1   6.20
## 94   /*1985-490*/         24          26          26    0    1   3.00
## 95   /*1985-492*/         24          33          33    0    1   9.70
## 96   /*1985-498*/         29          35          36    1    1  14.00
## 97   /*1985-499*/         29          30          31    1    1  15.70
## 98   /*1985-500*/         29          35          36    1    1   1.50
## 99   /*1985-502*/         30          30          31    1    1  16.80
## 100  /*1985-506*/         31          32          33    1    1  21.40
## 101  /*1985-507*/         31          44          44    0    1   8.00
## 102  /*1985-508*/         31          33          33    0    1  18.00
## 103  /*1985-527*/         49          53          53    0    1  16.40
## 104  /*1985-528*/         55          56          56    0    1   1.80
## 105  /*1986-529*/          1          23          23    0    1   3.06
## 106  /*1986-530*/          3          18          19    1    1   3.81
## 107  /*1986-534*/          3          25          25    0    1   6.13
## 108  /*1986-536*/          7          19          23    1    1   6.30
## 109  /*1986-537*/          4          27          27    0    1  11.50
## 112  /*1986-543*/          1           6          11    1    1   4.93
## 113  /*1986-547*/          6          29          29    0    1  17.78
## 115  /*1986-559*/          8          31          31    0    1   5.27
## 116  /*1986-565*/          7          30          30    0    1  13.74
## 117  /*1986-567*/          8          30          30    0    1   3.98
## 118  /*1986-568*/         10          30          30    0    1  15.89
## 120  /*1986-574*/          6          20          22    1    1   3.28
## 121  /*1986-575*/          6          28          28    0    1   3.51
## 122  /*1986-576*/         10          30          30    0    1  13.91
## 123  /*1986-578*/          4          21          23    1    1  17.79
## 124  /*1986-579*/          5           9          11    1    1   2.85
## 125  /*1986-588*/         12          14          15    1    1   3.80
## 126  /*1986-589*/          7          27          27    0    1   2.57
## 127  /*1986-590*/          7          21          22    1    1   2.20
## 128  /*1986-592*/         13          35          35    0    1  20.83
## 130  /*1986-605*/         19          30          32    1    1   2.44
## 131  /*1986-623*/         19          19          20    1    1  11.50
## 132  /*1986-625*/         24          45          45    0    1  14.85
## 133  /*1986-626*/         24          46          46    0    1  15.50
## 134  /*1986-627*/         25          38          41    1    1   1.15
## 135  /*1986-637*/         20          31          31    0    1  12.85
## 137  /*1986-644*/         23          24          24    0    1   3.75
## 139  /*1986-648*/         23          26          26    0    1   2.31
## 141  /*1986-650*/         25          38          38    0    1   4.73
## 142  /*1986-651*/         25          31          31    0    1  14.43
## 143  /*1986-652*/         25          30          30    0    1   2.23
## 144  /*1986-653*/         25          38          38    0    1  16.44
## 145  /*1986-657*/         27          28          28    0    1   5.56
## 146  /*1986-658*/         28          35          35    0    1  16.00
## 147  /*1986-659*/         29          51          51    0    1  21.79
## 148   /*1986-66*/         41          49          49    0    1  20.00
## 150  /*1986-671*/         35          38          38    0    1  19.81
## 151  /*1986-674*/         37          38          38    0    1  21.14
## 152   /*1986-68*/          2          23          23    0    1   4.22
## 154  /*1987-694*/          2          23          23    0    1  19.32
## 155  /*1987-695*/          4          25          25    0    1  15.60
## 156  /*1987-696*/          4          24          24    0    1  20.76
## 157  /*1987-705*/          5           5          10    1    1  17.32
## 158  /*1987-706*/          5          25          25    0    1  17.91
## 159  /*1987-709*/          9          31          31    0    1   4.80
## 160  /*1987-712*/          3          24          24    0    1  20.16
## 161  /*1987-713*/          4          25          25    0    1   2.80
## 162  /*1987-714*/          1          21          21    0    1  21.33
## 163  /*1987-716*/          7          24          26    1    1   4.03
## 164  /*1987-723*/          9          30          30    0    1   1.88
## 165  /*1987-732*/          8          28          28    0    1   1.51
## 166  /*1987-737*/         11          33          33    0    1  19.41
## 167  /*1987-738*/          4          10          11    1    1   7.12
## 168  /*1987-739*/          5          16          17    1    1   2.47
## 169  /*1987-771*/         10          17          23    1    1   2.79
## 170  /*1987-775*/         16          39          39    0    1  27.75
## 171  /*1987-778*/         10          10          13    1    1   1.44
## 172  /*1987-785*/         16          22          22    0    1  16.62
## 173  /*1987-787*/         17          21          21    0    1   3.96
## 174  /*1987-789*/         18          30          31    1    1   2.60
## 175  /*1987-797*/         20          29          29    0    1   1.02
## 176  /*1987-802*/         20          27          27    0    1   4.08
## 178  /*1987-804*/         21          26          27    1    1   2.67
## 179  /*1987-808*/         22          26          27    1    1  12.05
## 180  /*1987-809*/         22          23          23    0    1   5.35
## 182  /*1987-818*/         23          25          25    0    1  10.27
## 184  /*1987-820*/         23          27          27    0    1   5.12
## 185  /*1987-828*/         25          31          31    0    1   1.41
## 186  /*1987-829*/         25          28          28    0    1   4.00
## 187  /*1987-840*/         29          31          31    0    1   1.01
## 188  /*1987-841*/         29          33          33    0    1   3.83
## 189  /*1987-842*/         29          35          35    0    1  11.40
## 190  /*1987-846*/         33          38          38    0    1  16.14
## 191 /*1988-1004*/         34          51          51    0    1   2.50
## 192 /*1988-1006*/         39          42          42    0    1  11.30
## 193 /*1988-1008*/         45          48          48    0    1  21.20
## 194 /*1988-1019*/         47          54          54    0    1  15.50
## 195  /*1988-890*/          7          29          29    0    1   3.60
## 196  /*1988-893*/          9          29          29    0    1  17.40
## 198  /*1988-897*/         11          12          14    1    1   4.70
## 199  /*1988-899*/         12          33          33    0    1   2.60
## 200  /*1988-900*/          7          29          29    0    1   2.90
## 201  /*1988-910*/          8          29          29    0    1   4.50
## 202  /*1988-911*/          9          29          29    0    1   2.70
## 204  /*1988-921*/         17          38          38    0    1   9.10
## 206  /*1988-932*/         10          30          30    0    1   3.80
## 209  /*1988-938*/         19          39          39    0    1   3.40
## 211  /*1988-944*/         21          29          29    0    1   1.90
## 212  /*1988-958*/         15          15          17    1    1  15.30
## 214  /*1988-960*/         15          29          29    0    1   6.70
## 216  /*1988-962*/         26          47          47    0    1  22.80
## 218  /*1988-964*/         16          32          32    0    1   2.10
## 220  /*1988-972*/         23          32          32    0    1  15.60
## 221  /*1988-973*/         32          45          49    1    1  19.80
## 222  /*1988-974*/         25          48          48    0    1  17.10
## 223  /*1988-976*/         23          36          36    0    1  15.00
## 224  /*1988-977*/         24          44          44    0    1   1.50
## 225  /*1988-981*/         27          31          31    0    1  11.50
## 226  /*1988-983*/         28          31          31    0    1  19.70
## 227  /*1988-984*/         29          36          36    0    1  16.50
## 228  /*1988-985*/         38          45          46    1    1  18.40
## 229  /*1988-991*/         26          26          27    1    1  10.00
## 230  /*1988-992*/         33          36          36    0    1  17.80
## 231  /*1988-993*/         33          42          42    0    1   0.90
## 232  /*1988-994*/         34          43          43    0    1  10.30
## 233 /*1989-1039*/          5          26          26    0    1  20.60
## 234 /*1989-1040*/          2           3           5    1    1   1.80
## 236 /*1989-1076*/          5          20          23    1    1   1.60
## 239 /*1989-1081*/         10          30          30    0    1  18.70
## 240 /*1989-1092*/         11          11          12    1    1  17.00
## 242 /*1989-1109*/         29          51          51    0    1  17.80
## 243 /*1989-1111*/         12          21          22    1    1  15.50
## 244 /*1989-1112*/         12          35          35    0    1  17.10
## 245 /*1989-1114*/         16          17          18    1    1   5.50
## 246 /*1989-1115*/         23          43          43    0    1  12.60
## 247 /*1989-1116*/         23          42          42    0    1   9.70
## 248 /*1989-1118*/         12          33          33    0    1   1.60
## 249 /*1989-1120*/         11          11          12    1    1   9.30
## 251 /*1989-1123*/         16          18          20    1    1  20.50
## 252 /*1989-1124*/         21          42          42    0    1   0.80
## 254 /*1989-1127*/         32          39          39    0    1  15.90
## 256 /*1989-1131*/         41          44          44    0    1  19.70
## 257 /*1989-1133*/         26          41          41    0    1  16.80
## 258 /*1989-1134*/         26          36          36    0    1  14.90
## 260 /*1989-1137*/         29          49          49    0    1  24.40
## 261 /*1989-1151*/         27          35          35    0    1  22.90
## 262 /*1989-1152*/         28          28          30    1    1   2.20
## 263 /*1989-1153*/         27          51          51    0    1   2.20
## 264 /*1989-1154*/         30          37          37    0    1   0.80
## 268 /*1989-1161*/         19          20          21    1    1   1.30
## 269 /*1989-1162*/         16          24          24    0    1   1.60
## 271 /*1989-1180*/         31          40          41    1    1  17.10
## 272 /*1989-1181*/         33          39          41    1    1  14.50
## 273 /*1989-1182*/         33          34          34    0    1  11.10
## 327  /*1991-200*/          1          24          24    0    1   3.50
## 328  /*1991-201*/          2          15          18    1    1   1.50
## 329  /*1991-204*/          5          16          17    1    1  14.60
## 330  /*1991-205*/          2          11          12    1    1   4.10
## 331  /*1991-206*/          7          27          27    0    1   3.35
## 332  /*1991-208*/          5          27          27    0    1   3.57
## 334  /*1991-210*/          5          19          26    1    1   3.70
## 335  /*1991-211*/          2          21          24    1    1   3.40
## 336  /*1991-212*/          1          22          22    0    1   2.60
## 337  /*1991-213*/          1          23          23    0    1   2.55
## 338  /*1991-218*/         11          13          14    1    1   8.75
## 339  /*1991-220*/         13          16          18    1    1  21.00
## 340  /*1991-221*/          5          27          27    0    1   3.90
## 341  /*1991-222*/          7          27          28    1    1   2.41
## 343  /*1991-224*/          5          27          27    0    1   1.95
## 344  /*1991-228*/         11          32          32    0    1   3.90
## 345  /*1991-229*/          3          24          24    0    1   3.05
## 346  /*1991-231*/         16          36          36    0    1   4.40
## 347  /*1991-234*/         16          36          36    0    1  16.70
## 348  /*1991-235*/          5          13          17    1    1  13.00
## 349  /*1991-240*/         11          22          22    0    1   8.35
## 350  /*1991-241*/         18          39          39    0    1   3.45
## 351  /*1991-242*/         18          40          40    0    1   7.75
## 352  /*1991-245*/         16          19          19    0    1   7.70
## 354  /*1991-250*/         13          35          35    0    1   4.66
## 356  /*1991-253*/         19          19          21    1    1   5.20
## 357  /*1991-254*/         27          35          36    1    1  13.10
## 358  /*1991-256*/         19          27          27    0    1   3.44
## 359  /*1991-257*/         19          23          23    0    1   5.80
## 360  /*1991-258*/          7          27          27    0    1   1.38
## 361  /*1991-259*/         22          25          25    0    1   2.65
## 362  /*1991-261*/         24          28          28    0    1   3.38
## 363  /*1991-263*/         28          35          39    1    1   4.60
## 364  /*1991-265*/         24          26          26    0    1   2.70
## 365  /*1991-266*/         24          25          25    0    1   9.90
## 366  /*1991-267*/         28          31          31    0    1  17.60
## 367  /*1991-271*/         29          30          30    0    1  13.60
## 368  /*1991-273*/         30          41          41    0    1  15.30
## 369  /*1991-276*/         36          53          56    1    1   3.00
## 370  /*1991-277*/         32          33          33    0    1  11.20
## 371  /*1992-161*/          8          13          17    1    1   2.80
## 372  /*1992-204*/          7          21          24    1    1   4.30
## 373  /*1992-207*/          6          27          27    0    1   4.40
## 374  /*1992-210*/          8          28          28    0    1  13.10
## 375  /*1992-213*/          7          28          28    0    1   1.90
## 376  /*1992-214*/         10          23          27    1    1   2.90
## 377  /*1992-215*/          9          26          28    1    1   5.40
## 379  /*1992-219*/         10          31          31    0    1   4.70
## 381  /*1992-223*/          7          19          23    1    1   4.70
## 382  /*1992-224*/          8          13          17    1    1   2.70
## 383  /*1992-226*/          8          17          18    1    1  12.00
## 384  /*1992-233*/         22          27          30    1    1  17.00
## 385  /*1992-234*/         19          25          29    1    1   3.90
## 386  /*1992-236*/          9          23          26    1    1  18.70
## 387  /*1992-238*/          6          12          16    1    1   3.70
## 388  /*1992-239*/         11          12          16    1    1   3.70
## 389  /*1992-240*/          8          17          18    1    1   5.40
## 390  /*1992-241*/         14          35          35    0    1   5.50
## 391  /*1992-242*/         13          16          20    1    1   2.70
## 392  /*1992-246*/         12          31          31    0    1  10.20
## 393  /*1992-247*/         12          21          22    1    1   1.10
## 394  /*1992-248*/          9          31          31    0    1   6.10
## 395  /*1992-250*/          7          13          16    1    1   5.50
## 396  /*1992-252*/          8          29          29    0    1   5.40
## 397  /*1992-259*/         15          33          33    0    1  21.30
## 398  /*1992-263*/         19          26          28    1    1   2.90
## 399  /*1992-264*/          7          19          21    1    1   2.90
## 400  /*1992-266*/         22          42          42    0    1  18.10
## 401  /*1992-267*/         17          26          27    1    1  12.60
## 402  /*1992-269*/         19          21          25    1    1   0.90
## 403  /*1992-274*/         17          28          29    1    1  18.00
## 404  /*1992-275*/         23          40          42    1    1   3.70
## 405  /*1992-278*/         22          41          42    1    1   3.50
## 406  /*1992-280*/         23          25          28    1    1   5.80
## 407  /*1992-281*/         25          26          32    1    1  21.80
## 408  /*1992-282*/         18          18          19    1    1   3.30
## 409  /*1992-283*/         26          32          33    1    1  15.80
## 410  /*1992-285*/         21          42          42    0    1  13.30
## 411  /*1992-289*/         28          50          50    0    1  17.40
## 412  /*1992-293*/         20          20          22    1    1   4.90
## 413  /*1992-294*/         22          29          30    1    1   4.50
## 414  /*1992-295*/         22          26          27    1    1   9.70
## 415  /*1992-296*/         34          56          56    0    1  21.50
## 416  /*1992-297*/         26          31          33    1    1   2.30
## 417  /*1992-300*/         36          46          47    1    1   0.90
## 420  /*1992-304*/         38          55          56    1    1   3.20
## 421  /*1992-305*/         34          56          56    0    1   3.80
## 423  /*1992-308*/         34          56          56    0    1  22.80
## 424  /*1992-309*/         35          44          44    0    1   3.50
## 425  /*1992-310*/         35          50          52    1    1   1.10
## 426  /*1992-311*/         38          42          43    1    1   4.60
## 427  /*1992-312*/         24          30          30    0    1  18.20
## 428  /*1992-313*/         24          29          30    1    1   5.10
## 429  /*1992-318*/         27          27          28    1    1   3.60
## 430  /*1992-319*/         32          33          33    0    1  21.10
## 432  /*1992-322*/         40          62          62    0    1  18.00
## 433  /*1992-324*/         40          41          41    0    1   3.15
## 434  /*1992-326*/         52          59          59    0    1  18.70
## 435  /*1993-205*/          1           7          10    1    1   8.10
## 436  /*1993-206*/          1          15          17    1    1   5.30
## 437  /*1993-207*/          1           2           3    1    1   2.00
## 438  /*1993-209*/          2           7          10    1    1   3.00
## 442  /*1993-215*/          5          10          13    1    1   2.60
## 444  /*1993-221*/          5          23          25    1    1   8.50
## 445  /*1993-222*/          5          10          13    1    1   2.20
## 446  /*1993-223*/          7          10          13    1    1   2.40
## 450  /*1993-233*/          8           8          11    1    1   2.10
## 451  /*1993-235*/         11          11          16    1    1  15.80
## 452  /*1993-237*/         18          28          29    1    1   4.80
## 453  /*1993-238*/         11          15          15    0    1  20.10
## 454  /*1993-239*/          8           9          12    1    1   2.00
## 455  /*1993-240*/          6          12          13    1    1   8.10
## 456  /*1993-241*/          6           9          12    1    1   8.30
## 457  /*1993-242*/          7          21          21    0    1   5.80
## 458  /*1993-245*/         18          43          43    0    1  16.80
## 460  /*1993-253*/         19          23          23    0    1   3.20
## 461  /*1993-254*/         30          41          41    0    1   0.93
## 462  /*1993-255*/         36          38          41    1    1   3.40
## 463  /*1993-257*/         34          44          47    1    1  14.80
## 464  /*1993-259*/         11          14          16    1    1  11.80
## 465  /*1993-264*/         14          29          30    1    1   3.00
## 466  /*1993-266*/         21          32          35    1    1  12.50
## 467  /*1993-267*/         21          24          27    1    1   2.20
## 468  /*1993-268*/         19          26          29    1    1   4.20
## 469  /*1993-269*/         19          19          22    1    1   2.20
## 471  /*1993-273*/         15          17          19    1    1   8.30
## 472  /*1993-274*/         19          20          23    1    1   5.70
## 473  /*1993-275*/         25          42          43    1    1   1.63
## 474  /*1993-277*/         18          21          24    1    1   3.90
## 475  /*1993-279*/         21          33          34    1    1   1.87
## 476  /*1993-280*/         16          27          30    1    1   3.00
## 477  /*1993-281*/         17          22          27    1    1  24.30
## 478  /*1993-282*/         24          33          35    1    1   7.30
## 479  /*1993-284*/         25          45          45    0    1  18.30
## 480  /*1993-287*/         25          46          46    0    1   1.80
## 481  /*1993-290*/         38          58          58    0    1  19.80
## 482  /*1993-294*/         21          43          43    0    1  14.60
## 483  /*1993-295*/         23          26          29    1    1   2.30
## 484  /*1993-299*/         20          24          25    1    1   2.60
## 485  /*1993-300*/         18          19          24    1    1   4.40
## 486  /*1993-302*/         33          48          48    0    1  11.40
## 488  /*1994-118*/         24          24          26    1    1   5.72
## 490  /*1994-153*/          3          24          24    0    1  10.55
## 491  /*1994-155*/         10          31          31    0    1   2.96
## 492  /*1994-156*/         10          26          29    1    1   3.06
## 493  /*1994-158*/         10          12          16    1    1   3.72
## 494  /*1994-159*/         12          33          33    0    1  17.77
## 495  /*1994-161*/         12          17          23    1    1   3.67
## 496  /*1994-164*/         14          30          30    0    1   3.93
## 497  /*1994-167*/         18          28          28    0    1  14.82
## 498  /*1994-168*/         10          15          20    1    1   6.38
## 499  /*1994-169*/         11          23          27    1    1   2.81
## 501  /*1994-172*/         19          39          39    0    1   4.88
## 505  /*1994-178*/         20          33          33    0    1   2.94
## 506  /*1994-179*/         18          24          24    0    1   2.54
## 507  /*1994-180*/         20          23          23    0    1   7.74
## 508  /*1994-181*/         20          21          25    1    1   2.55
## 510  /*1994-183*/         21          23          23    0    1   3.68
## 511  /*1994-184*/         34          40          44    1    1  22.70
## 512  /*1994-185*/         21          24          24    0    1   2.31
## 513  /*1994-186*/         22          27          27    0    1   5.50
## 514  /*1994-189*/         35          36          36    0    1  16.54
## 515  /*1994-190*/         27          33          33    0    1   5.07
## 516  /*1995-101*/          8          20          23    1    1   3.59
## 518  /*1995-104*/         11          26          28    1    1   2.86
## 519  /*1995-106*/         10          10          16    1    1  20.39
## 520  /*1995-109*/         14          35          35    0    1   7.56
## 521  /*1995-112*/         18          40          40    0    1  19.58
## 523  /*1995-114*/         17          26          26    0    1   3.71
## 524  /*1995-115*/         17          18          19    1    1   8.15
## 525  /*1995-117*/         25          40          43    1    1  12.13
## 526  /*1995-118*/         20          27          30    1    1  16.18
## 527  /*1995-119*/         20          26          26    0    1  14.26
## 528  /*1995-120*/         20          20          26    1    1   3.57
## 529  /*1995-121*/         24          26          29    1    1   3.90
## 530  /*1995-122*/         24          29          29    0    1   5.14
## 531  /*1995-123*/         23          26          26    0    1  12.64
## 532  /*1995-124*/         25          32          32    0    1  25.02
## 533  /*1995-125*/         25          33          33    0    1   4.37
## 534  /*1995-126*/         26          32          33    1    1   2.10
## 535  /*1995-127*/         26          30          30    0    1  13.35
## 536  /*1995-128*/         26          31          31    0    1   1.83
## 537  /*1995-129*/         27          31          31    0    1  16.89
##     BaffleStatus   DBH AgeDay1 Year
## 71             N  3.30      -4 1985
## 72             N  3.80      -2 1985
## 73             N  5.60      -4 1985
## 74             N  7.90      -4 1985
## 75             N 11.40      -2 1985
## 76             N 54.10      -1 1985
## 77             N  5.60      -4 1985
## 78             N  5.30      -2 1985
## 79             N  6.90      -8 1985
## 87             N  6.10      -4 1985
## 88             N  4.60      -9 1985
## 89             N  4.60     -13 1985
## 90             N 20.00     -15 1985
## 92             N  1.50      -7 1985
## 93             N  8.90     -11 1985
## 94             N  3.80      -2 1985
## 95             N 25.20      -8 1985
## 96             N 32.00      -9 1985
## 97             N 28.20      -8 1985
## 98             N  1.00     -15 1985
## 99             N 20.30      -9 1985
## 100            N 28.20      -9 1985
## 101            N  7.60     -20 1985
## 102            N 23.60      -8 1985
## 103            N 31.00     -30 1985
## 104            N  5.60     -33 1985
## 105            N  6.40       2 1986
## 106            N 14.90       1 1986
## 107            N 10.10       0 1986
## 108            N  9.10      -5 1986
## 109            N 11.30      -1 1986
## 112            N  6.70       2 1986
## 113            N 28.10      -3 1986
## 115            N  4.70      -5 1986
## 116            N 42.70      -4 1986
## 117            N  4.90      -5 1986
## 118            N 39.30      -7 1986
## 120            N  6.30      -3 1986
## 121            N  5.30      -3 1986
## 122            N 32.00      -7 1986
## 123            N 29.90      -1 1986
## 124            N  5.00      -2 1986
## 125            N  4.30     -10 1986
## 126            N  3.40      -4 1986
## 127            N  4.30      -1 1986
## 128            N 39.10     -10 1986
## 130            N  3.50     -17 1986
## 131            N 19.70      -8 1986
## 132            N 37.50     -21 1986
## 133            N 24.30     -21 1986
## 134            N  2.20     -23 1986
## 135            N 22.40      -8 1986
## 137            N  4.20      -1 1986
## 139            N  9.80      -3 1986
## 141            N  7.00     -15 1986
## 142            N 73.50      -8 1986
## 143            N  4.20      -7 1986
## 144            N 33.20     -15 1986
## 145            N  7.10      -5 1986
## 146            N 42.00     -12 1986
## 147            N 44.80     -26 1986
## 148            N 36.20     -26 1986
## 150            N 43.40     -15 1986
## 151            N 68.00     -15 1986
## 152            N  6.10       1 1986
## 154            N 35.60       2 1987
## 155            N 41.70       0 1987
## 156            N 34.60      -1 1987
## 157            N 25.30      -2 1987
## 158            N 28.70      -2 1987
## 159            N 10.30      -6 1987
## 160            N 30.00       0 1987
## 161            N  6.70      -1 1987
## 162            N 38.40       2 1987
## 163            N 13.80      -4 1987
## 164            N  3.30      -6 1987
## 165            N  2.10      -5 1987
## 166            N 24.10      -8 1987
## 167            N 12.90      -1 1987
## 168            N  4.20       0 1987
## 169            N  4.80      -1 1987
## 170            N 40.20     -14 1987
## 171            N  2.70      -1 1987
## 172            N 29.40       1 1987
## 173            N  9.20       2 1987
## 174            N  6.10     -10 1987
## 175            N  2.90      -6 1987
## 176            N  5.10      -4 1987
## 178            N 10.20      -5 1987
## 179            N 15.80      -1 1987
## 180            N  9.92     -31 1987
## 182            N 27.60      -2 1987
## 184            N  9.70      -4 1987
## 185            N  2.20      -8 1987
## 186            N  4.20      -5 1987
## 187            N  1.80      -8 1987
## 188            N 52.00     -10 1987
## 189            N 34.10     -12 1987
## 190            N 26.50     -15 1987
## 191            N  6.20     -28 1988
## 192            N 15.40     -19 1988
## 193            N 32.90     -25 1988
## 194            N 33.90     -28 1988
## 195            N  7.10      -4 1988
## 196            N 38.00      -6 1988
## 198            N  7.10      -7 1988
## 199            N  3.50      -8 1988
## 200            N  5.40      -4 1988
## 201            N 10.20      -5 1988
## 202            N  7.20      -6 1988
## 204            N 45.00     -14 1988
## 206            N  7.40      -6 1988
## 209            N  8.20     -13 1988
## 211            N  3.80      -6 1988
## 212            N 34.20      -5 1988
## 214            N  7.80      -6 1988
## 216            N 54.30     -23 1988
## 218            N  3.70      -9 1988
## 220            N 25.70      -9 1988
## 221            N 36.10     -29 1988
## 222            N 29.20     -22 1988
## 223            N 40.40     -13 1988
## 224            N  5.70     -21 1988
## 225            N 15.30      -8 1988
## 226            N 40.20      -8 1988
## 227            N 48.40     -13 1988
## 228            N 29.70     -35 1988
## 229            N 46.20     -13 1988
## 230            N 53.00     -13 1988
## 231            N  1.00     -20 1988
## 232            N 16.30     -20 1988
## 233            N 39.30      -2 1989
## 234            N  5.00       1 1989
## 236            N  4.80      -2 1989
## 239            N 31.70      -7 1989
## 240            N 31.80      -8 1989
## 242            N 35.60     -26 1989
## 243            N 28.20      -9 1989
## 244            N 35.80      -9 1989
## 245            N  6.00      -7 1989
## 246            N 34.30     -20 1989
## 247            N 11.20     -20 1989
## 248            N  1.00      -9 1989
## 249            N  8.70      -2 1989
## 251            N 41.70      -7 1989
## 252            N  1.00     -19 1989
## 254            N 49.30     -16 1989
## 256            N 39.40     -20 1989
## 257            N 52.50     -18 1989
## 258            N 24.30     -13 1989
## 260            N 41.00     -26 1989
## 261            N 24.00     -12 1989
## 262            N  3.40     -11 1989
## 263            N  1.70     -25 1989
## 264            N  1.30     -14 1989
## 268            N  2.00     -16 1989
## 269            N  5.30       0 1989
## 271            N 34.00     -21 1989
## 272            N 29.00     -23 1989
## 273            N 25.10     -11 1989
## 327            N  6.00       2 1991
## 328            N  4.80       0 1991
## 329            N 39.30      -3 1991
## 330            N 13.50       1 1991
## 331            N  5.20      -4 1991
## 332            N 15.50       0 1991
## 334            N  6.70      -2 1991
## 335            N  5.70       0 1991
## 336            N  4.70       2 1991
## 337            N  7.00       3 1991
## 338            N 15.30      -2 1991
## 339            N 23.50      -4 1991
## 340            N  8.00      -3 1991
## 341            N  9.50      -4 1991
## 343            N  3.00      -2 1991
## 344            N  8.70      -8 1991
## 345            N  9.30       0 1991
## 346            N  5.20     -14 1991
## 347            N 43.00     -13 1991
## 348            N 15.30      -3 1991
## 349            N 17.40       1 1991
## 350            N  9.10     -15 1991
## 351            N 15.70     -15 1991
## 352            N  9.80       4 1991
## 354            N 10.00     -10 1991
## 356            N  6.50      -6 1991
## 357            N 21.60     -17 1991
## 358            N  4.50      -4 1991
## 359            N 20.50       0 1991
## 360            N  3.50      -4 1991
## 361            N  3.10      -2 1991
## 362            N  9.10      -6 1991
## 363            N  8.20     -26 1991
## 364            N  4.10      -4 1991
## 365            N 27.50      -3 1991
## 366            N 49.10      -8 1991
## 367            N 18.00      -7 1991
## 368            N 20.00     -18 1991
## 369            N  3.50     -34 1991
## 370            N 25.90     -10 1991
## 371            N  6.40      -5 1992
## 372            N  6.20      -4 1992
## 373            N 12.20      -2 1992
## 374            N 52.00      -5 1992
## 375            N  4.90      -4 1992
## 376            N  3.60      -8 1992
## 377            N 11.80      -6 1992
## 379            N  5.00      -7 1992
## 381            N  6.70      -4 1992
## 382            N  3.20      -5 1992
## 383            N 13.00      -4 1992
## 384            N 52.00     -19 1992
## 385            N  5.40     -16 1992
## 386            N 23.30      -6 1992
## 387            N  4.30      -3 1992
## 388            N  4.40      -9 1992
## 389            N  6.70      -4 1992
## 390            N  7.60     -11 1992
## 391            N  2.60     -10 1992
## 392            N 20.90      -9 1992
## 393            N  5.90      -9 1992
## 394            N  6.60      -6 1992
## 395            N 11.40      -4 1992
## 396            N  7.00      -5 1992
## 397            N 44.30      -8 1992
## 398            N  2.90     -17 1992
## 399            N  6.30      -4 1992
## 400            N 35.60     -19 1992
## 401            N 23.30     -15 1992
## 402            N  1.00     -16 1992
## 403            N 16.00     -14 1992
## 404            N  4.80     -21 1992
## 405            N  7.50     -19 1992
## 406            N  6.90     -20 1992
## 407            N 23.00     -22 1992
## 408            N  3.20      -9 1992
## 409            N 30.70     -23 1992
## 410            N 27.20     -18 1992
## 411            N 42.90     -25 1992
## 412            N  6.40      -5 1992
## 413            N  6.00     -15 1992
## 414            N 10.10     -13 1992
## 415            N 69.50     -31 1992
## 416            N  2.80     -23 1992
## 417            N  1.00     -34 1992
## 420            N  4.40     -36 1992
## 421            N  5.50     -32 1992
## 423            N 37.90     -31 1992
## 424            N  4.20     -21 1992
## 425            N  1.50     -33 1992
## 426            N  6.30     -34 1992
## 427            N 31.50      -7 1992
## 428            N  9.30     -20 1992
## 429            N  3.50     -15 1992
## 430            N 52.00     -10 1992
## 432            N 55.30     -38 1992
## 433            N  5.10     -18 1992
## 434            N 34.20     -36 1992
## 435            N 15.70       2 1993
## 436            N  5.95       2 1993
## 437            N  2.45       2 1993
## 438            N  3.70       1 1993
## 442            N  5.90      -3 1993
## 444            N 19.75      -1 1993
## 445            N  3.20      -2 1993
## 446            N  4.55      -4 1993
## 450            N  5.80      -5 1993
## 451            N 41.10      -8 1993
## 452            N  5.90     -15 1993
## 453            N 34.30       8 1993
## 454            N  1.05      -5 1993
## 455            N 15.70      -4 1993
## 456            N 13.30       3 1993
## 457            N  6.75       2 1993
## 458            N 42.10     -15 1993
## 460            N  4.25       0 1993
## 461            N  1.00     -18 1993
## 462            N  6.00     -34 1993
## 463            N 49.00     -30 1993
## 464            N 43.30      -2 1993
## 465            N  3.70     -11 1993
## 466            N 33.20     -18 1993
## 467            N  5.40     -18 1993
## 468            N  4.55     -16 1993
## 469            N  4.70     -17 1993
## 471            N 10.20     -12 1993
## 472            N  5.00     -16 1993
## 473            N  1.00     -23 1993
## 474            N  3.00     -17 1993
## 475            N  1.00     -19 1993
## 476            N  3.50     -10 1993
## 477            N 54.00     -12 1993
## 478            N  8.00     -15 1993
## 479            N 44.90     -22 1993
## 480            N  4.00     -22 1993
## 481            N 38.65     -35 1993
## 482            N 25.50     -19 1993
## 483            N  4.00     -21 1993
## 484            N  2.80       1 1993
## 485            N  7.50     -10 1993
## 486            N 35.80     -26 1993
## 488            N  6.00     -22 1994
## 490            N 13.10       0 1994
## 491            N  6.40      -6 1994
## 492            N  6.40      -7 1994
## 493            N  3.90      -7 1994
## 494            N 36.20     -10 1994
## 495            N  6.20      -8 1994
## 496            N  6.90      -7 1994
## 497            N 35.00      -4 1994
## 498            N  8.20       1 1994
## 499            N  8.00      -5 1994
## 501            N 12.90     -13 1994
## 505            N 19.00      -9 1994
## 506            N  5.40      -1 1994
## 507            N  9.40       0 1994
## 508            N  3.50      -7 1994
## 510            N  5.70       0 1994
## 511            N 49.70     -25 1994
## 512            N  8.10      -1 1994
## 513            N  6.60      -4 1994
## 514            N 54.60      -3 1994
## 515            N  8.80     -10 1994
## 516            N  6.00      -5 1995
## 518            N  2.00      -8 1995
## 519            N 52.70      -7 1995
## 520            N  8.10     -11 1995
## 521            N 29.80     -15 1995
## 523            N  4.00      -3 1995
## 524            N 16.10      -8 1995
## 525            N 10.10     -22 1995
## 526            N 27.40     -10 1995
## 527            N 18.20      -3 1995
## 528            N  4.90       1 1995
## 529            N  6.50     -10 1995
## 530            N  3.90      -6 1995
## 531            N 13.60      -3 1995
## 532            N 44.20      -9 1995
## 533            N  3.80     -10 1995
## 534            N  2.70     -10 1995
## 535            N 24.30      -7 1995
## 536            N  5.40      -8 1995
## 537            N 33.30      -8 1995
## 
## $model
## [1] "Nest"
## 
## $mixtures
## [1] 1
## 
## $freq
##     group1
## 1        1
## 2        1
## 3        1
## 4        1
## 5        1
## 6        1
## 7        1
## 8        1
## 9        1
## 10       1
## 11       1
## 12       1
## 13       1
## 14       1
## 15       1
## 16       1
## 17       1
## 18       1
## 19       1
## 20       1
## 21       1
## 22       1
## 23       1
## 24       1
## 25       1
## 26       1
## 27       1
## 28       1
## 29       1
## 30       1
## 31       1
## 32       1
## 33       1
## 34       1
## 35       1
## 36       1
## 37       1
## 38       1
## 39       1
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## 
## $nocc
## [1] 62
## 
## $nocc.secondary
## NULL
## 
## $time.intervals
##  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## 
## $begin.time
## [1] 1
## 
## $age.unit
## [1] 1
## 
## $initial.ages
## [1] 0
## 
## $group.covariates
## NULL
## 
## $nstrata
## [1] 1
## 
## $strata.labels
## [1] ""
## 
## $counts
## NULL
## 
## $reverse
## [1] FALSE
## 
## $areas
## NULL
## 
## $events
## NULL
# 2. Examine and/or modify the ddl. (Not done here)
red.cntl.ddl <- make.design.data(red.cntl.proc)
str(red.cntl.ddl)
## List of 2
##  $ S       :'data.frame':    61 obs. of  7 variables:
##   ..$ par.index  : int [1:61] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ model.index: num [1:61] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ group      : Factor w/ 1 level "1": 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ age        : Factor w/ 61 levels "0","1","2","3",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ time       : Factor w/ 61 levels "1","2","3","4",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ Age        : num [1:61] 0 1 2 3 4 5 6 7 8 9 ...
##   ..$ Time       : num [1:61] 0 1 2 3 4 5 6 7 8 9 ...
##  $ pimtypes:List of 1
##   ..$ S:List of 1
##   .. ..$ pim.type: chr "all"
red.cntl.ddl 
## $S
##    par.index model.index group age time Age Time
## 1          1           1     1   0    1   0    0
## 2          2           2     1   1    2   1    1
## 3          3           3     1   2    3   2    2
## 4          4           4     1   3    4   3    3
## 5          5           5     1   4    5   4    4
## 6          6           6     1   5    6   5    5
## 7          7           7     1   6    7   6    6
## 8          8           8     1   7    8   7    7
## 9          9           9     1   8    9   8    8
## 10        10          10     1   9   10   9    9
## 11        11          11     1  10   11  10   10
## 12        12          12     1  11   12  11   11
## 13        13          13     1  12   13  12   12
## 14        14          14     1  13   14  13   13
## 15        15          15     1  14   15  14   14
## 16        16          16     1  15   16  15   15
## 17        17          17     1  16   17  16   16
## 18        18          18     1  17   18  17   17
## 19        19          19     1  18   19  18   18
## 20        20          20     1  19   20  19   19
## 21        21          21     1  20   21  20   20
## 22        22          22     1  21   22  21   21
## 23        23          23     1  22   23  22   22
## 24        24          24     1  23   24  23   23
## 25        25          25     1  24   25  24   24
## 26        26          26     1  25   26  25   25
## 27        27          27     1  26   27  26   26
## 28        28          28     1  27   28  27   27
## 29        29          29     1  28   29  28   28
## 30        30          30     1  29   30  29   29
## 31        31          31     1  30   31  30   30
## 32        32          32     1  31   32  31   31
## 33        33          33     1  32   33  32   32
## 34        34          34     1  33   34  33   33
## 35        35          35     1  34   35  34   34
## 36        36          36     1  35   36  35   35
## 37        37          37     1  36   37  36   36
## 38        38          38     1  37   38  37   37
## 39        39          39     1  38   39  38   38
## 40        40          40     1  39   40  39   39
## 41        41          41     1  40   41  40   40
## 42        42          42     1  41   42  41   41
## 43        43          43     1  42   43  42   42
## 44        44          44     1  43   44  43   43
## 45        45          45     1  44   45  44   44
## 46        46          46     1  45   46  45   45
## 47        47          47     1  46   47  46   46
## 48        48          48     1  47   48  47   47
## 49        49          49     1  48   49  48   48
## 50        50          50     1  49   50  49   49
## 51        51          51     1  50   51  50   50
## 52        52          52     1  51   52  51   51
## 53        53          53     1  52   53  52   52
## 54        54          54     1  53   54  53   53
## 55        55          55     1  54   55  54   54
## 56        56          56     1  55   56  55   55
## 57        57          57     1  56   57  56   56
## 58        58          58     1  57   58  57   57
## 59        59          59     1  58   59  58   58
## 60        60          60     1  59   60  59   59
## 61        61          61     1  60   61  60   60
## 
## $pimtypes
## $pimtypes$S
## $pimtypes$S$pim.type
## [1] "all"
# 3. Fit a particular model
# This is a model with S constant over time (closest to Mayfield method)
mod.cntl <-  RMark::mark(red.cntl.proc, ddl=red.cntl.ddl,
                        model="Nest",
                        model.parameters=list(
                          S   =list(formula=~1)
                        )
)
## 
## Output summary for Nest model
## Name : S(~1) 
## 
## Npar :  1
## -2lnL:  1045.026
## AICc :  1047.027
## 
## Beta
##               estimate       se      lcl      ucl
## S:(Intercept) 3.250525 0.083815 3.086248 3.414803
## 
## 
## Real Parameter S
##         1        2        3        4        5        6        7        8
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##         9       10       11       12       13       14       15       16
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        17       18       19       20       21       22       23       24
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        25       26       27       28       29       30       31       32
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        33       34       35       36       37       38       39       40
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        41       42       43       44       45       46       47       48
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        49       50       51       52       53       54       55       56
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        57       58       59       60       61
##  0.962692 0.962692 0.962692 0.962692 0.962692
summary(mod.cntl)
## Output summary for Nest model
## Name : S(~1) 
## 
## Npar :  1
## -2lnL:  1045.026
## AICc :  1047.027
## 
## Beta
##               estimate       se      lcl      ucl
## S:(Intercept) 3.250525 0.083815 3.086248 3.414803
## 
## 
## Real Parameter S
##         1        2        3        4        5        6        7        8
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##         9       10       11       12       13       14       15       16
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        17       18       19       20       21       22       23       24
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        25       26       27       28       29       30       31       32
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        33       34       35       36       37       38       39       40
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        41       42       43       44       45       46       47       48
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        49       50       51       52       53       54       55       56
##  0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692 0.962692
##        57       58       59       60       61
##  0.962692 0.962692 0.962692 0.962692 0.962692
# Look the objects returned in more details
names(mod.cntl)
##  [1] "data"             "model"            "title"           
##  [4] "model.name"       "links"            "mixtures"        
##  [7] "call"             "parameters"       "time.intervals"  
## [10] "number.of.groups" "group.labels"     "nocc"            
## [13] "begin.time"       "covariates"       "fixed"           
## [16] "design.matrix"    "pims"             "design.data"     
## [19] "strata.labels"    "mlogit.list"      "profile.int"     
## [22] "simplify"         "model.parameters" "results"         
## [25] "output"
names(mod.cntl$results)
##  [1] "lnl"              "deviance"         "deviance.df"     
##  [4] "npar"             "n"                "AICc"            
##  [7] "beta"             "real"             "beta.vcv"        
## [10] "derived"          "derived.vcv"      "covariate.values"
## [13] "singular"         "real.vcv"
# look at estimates on beta and original scale
mod.cntl$results$beta  # on the logit scale
##               estimate       se      lcl      ucl
## S:(Intercept) 3.250525 0.083815 3.086248 3.414803
mod.cntl$results$real# on the regular 0-1 scale for each site
##            estimate        se       lcl      ucl fixed    note
## S g1 a0 t1 0.962692 0.0030103 0.9563219 0.968164
# derived variabldes is the nest survival probability over the 40 (nocc) days 
names(mod.cntl$results$derived)
## [1] "S Overall Survival"
mod.cntl$results$derived$"S Overall Survival"
##     estimate         se        lcl       ucl
## 1 0.09833963 0.01875781 0.06720445 0.1417081
# alternatively
get.real(mod.cntl, "S", se=TRUE)
##              all.diff.index par.index estimate        se       lcl
## S g1 a0 t1                1         1 0.962692 0.0030103 0.9563219
## S g1 a1 t2                2         1 0.962692 0.0030103 0.9563219
## S g1 a2 t3                3         1 0.962692 0.0030103 0.9563219
## S g1 a3 t4                4         1 0.962692 0.0030103 0.9563219
## S g1 a4 t5                5         1 0.962692 0.0030103 0.9563219
## S g1 a5 t6                6         1 0.962692 0.0030103 0.9563219
## S g1 a6 t7                7         1 0.962692 0.0030103 0.9563219
## S g1 a7 t8                8         1 0.962692 0.0030103 0.9563219
## S g1 a8 t9                9         1 0.962692 0.0030103 0.9563219
## S g1 a9 t10              10         1 0.962692 0.0030103 0.9563219
## S g1 a10 t11             11         1 0.962692 0.0030103 0.9563219
## S g1 a11 t12             12         1 0.962692 0.0030103 0.9563219
## S g1 a12 t13             13         1 0.962692 0.0030103 0.9563219
## S g1 a13 t14             14         1 0.962692 0.0030103 0.9563219
## S g1 a14 t15             15         1 0.962692 0.0030103 0.9563219
## S g1 a15 t16             16         1 0.962692 0.0030103 0.9563219
## S g1 a16 t17             17         1 0.962692 0.0030103 0.9563219
## S g1 a17 t18             18         1 0.962692 0.0030103 0.9563219
## S g1 a18 t19             19         1 0.962692 0.0030103 0.9563219
## S g1 a19 t20             20         1 0.962692 0.0030103 0.9563219
## S g1 a20 t21             21         1 0.962692 0.0030103 0.9563219
## S g1 a21 t22             22         1 0.962692 0.0030103 0.9563219
## S g1 a22 t23             23         1 0.962692 0.0030103 0.9563219
## S g1 a23 t24             24         1 0.962692 0.0030103 0.9563219
## S g1 a24 t25             25         1 0.962692 0.0030103 0.9563219
## S g1 a25 t26             26         1 0.962692 0.0030103 0.9563219
## S g1 a26 t27             27         1 0.962692 0.0030103 0.9563219
## S g1 a27 t28             28         1 0.962692 0.0030103 0.9563219
## S g1 a28 t29             29         1 0.962692 0.0030103 0.9563219
## S g1 a29 t30             30         1 0.962692 0.0030103 0.9563219
## S g1 a30 t31             31         1 0.962692 0.0030103 0.9563219
## S g1 a31 t32             32         1 0.962692 0.0030103 0.9563219
## S g1 a32 t33             33         1 0.962692 0.0030103 0.9563219
## S g1 a33 t34             34         1 0.962692 0.0030103 0.9563219
## S g1 a34 t35             35         1 0.962692 0.0030103 0.9563219
## S g1 a35 t36             36         1 0.962692 0.0030103 0.9563219
## S g1 a36 t37             37         1 0.962692 0.0030103 0.9563219
## S g1 a37 t38             38         1 0.962692 0.0030103 0.9563219
## S g1 a38 t39             39         1 0.962692 0.0030103 0.9563219
## S g1 a39 t40             40         1 0.962692 0.0030103 0.9563219
## S g1 a40 t41             41         1 0.962692 0.0030103 0.9563219
## S g1 a41 t42             42         1 0.962692 0.0030103 0.9563219
## S g1 a42 t43             43         1 0.962692 0.0030103 0.9563219
## S g1 a43 t44             44         1 0.962692 0.0030103 0.9563219
## S g1 a44 t45             45         1 0.962692 0.0030103 0.9563219
## S g1 a45 t46             46         1 0.962692 0.0030103 0.9563219
## S g1 a46 t47             47         1 0.962692 0.0030103 0.9563219
## S g1 a47 t48             48         1 0.962692 0.0030103 0.9563219
## S g1 a48 t49             49         1 0.962692 0.0030103 0.9563219
## S g1 a49 t50             50         1 0.962692 0.0030103 0.9563219
## S g1 a50 t51             51         1 0.962692 0.0030103 0.9563219
## S g1 a51 t52             52         1 0.962692 0.0030103 0.9563219
## S g1 a52 t53             53         1 0.962692 0.0030103 0.9563219
## S g1 a53 t54             54         1 0.962692 0.0030103 0.9563219
## S g1 a54 t55             55         1 0.962692 0.0030103 0.9563219
## S g1 a55 t56             56         1 0.962692 0.0030103 0.9563219
## S g1 a56 t57             57         1 0.962692 0.0030103 0.9563219
## S g1 a57 t58             58         1 0.962692 0.0030103 0.9563219
## S g1 a58 t59             59         1 0.962692 0.0030103 0.9563219
## S g1 a59 t60             60         1 0.962692 0.0030103 0.9563219
## S g1 a60 t61             61         1 0.962692 0.0030103 0.9563219
##                   ucl fixed    note group age time Age Time
## S g1 a0 t1   0.968164                   1   0    1   0    0
## S g1 a1 t2   0.968164                   1   1    2   1    1
## S g1 a2 t3   0.968164                   1   2    3   2    2
## S g1 a3 t4   0.968164                   1   3    4   3    3
## S g1 a4 t5   0.968164                   1   4    5   4    4
## S g1 a5 t6   0.968164                   1   5    6   5    5
## S g1 a6 t7   0.968164                   1   6    7   6    6
## S g1 a7 t8   0.968164                   1   7    8   7    7
## S g1 a8 t9   0.968164                   1   8    9   8    8
## S g1 a9 t10  0.968164                   1   9   10   9    9
## S g1 a10 t11 0.968164                   1  10   11  10   10
## S g1 a11 t12 0.968164                   1  11   12  11   11
## S g1 a12 t13 0.968164                   1  12   13  12   12
## S g1 a13 t14 0.968164                   1  13   14  13   13
## S g1 a14 t15 0.968164                   1  14   15  14   14
## S g1 a15 t16 0.968164                   1  15   16  15   15
## S g1 a16 t17 0.968164                   1  16   17  16   16
## S g1 a17 t18 0.968164                   1  17   18  17   17
## S g1 a18 t19 0.968164                   1  18   19  18   18
## S g1 a19 t20 0.968164                   1  19   20  19   19
## S g1 a20 t21 0.968164                   1  20   21  20   20
## S g1 a21 t22 0.968164                   1  21   22  21   21
## S g1 a22 t23 0.968164                   1  22   23  22   22
## S g1 a23 t24 0.968164                   1  23   24  23   23
## S g1 a24 t25 0.968164                   1  24   25  24   24
## S g1 a25 t26 0.968164                   1  25   26  25   25
## S g1 a26 t27 0.968164                   1  26   27  26   26
## S g1 a27 t28 0.968164                   1  27   28  27   27
## S g1 a28 t29 0.968164                   1  28   29  28   28
## S g1 a29 t30 0.968164                   1  29   30  29   29
## S g1 a30 t31 0.968164                   1  30   31  30   30
## S g1 a31 t32 0.968164                   1  31   32  31   31
## S g1 a32 t33 0.968164                   1  32   33  32   32
## S g1 a33 t34 0.968164                   1  33   34  33   33
## S g1 a34 t35 0.968164                   1  34   35  34   34
## S g1 a35 t36 0.968164                   1  35   36  35   35
## S g1 a36 t37 0.968164                   1  36   37  36   36
## S g1 a37 t38 0.968164                   1  37   38  37   37
## S g1 a38 t39 0.968164                   1  38   39  38   38
## S g1 a39 t40 0.968164                   1  39   40  39   39
## S g1 a40 t41 0.968164                   1  40   41  40   40
## S g1 a41 t42 0.968164                   1  41   42  41   41
## S g1 a42 t43 0.968164                   1  42   43  42   42
## S g1 a43 t44 0.968164                   1  43   44  43   43
## S g1 a44 t45 0.968164                   1  44   45  44   44
## S g1 a45 t46 0.968164                   1  45   46  45   45
## S g1 a46 t47 0.968164                   1  46   47  46   46
## S g1 a47 t48 0.968164                   1  47   48  47   47
## S g1 a48 t49 0.968164                   1  48   49  48   48
## S g1 a49 t50 0.968164                   1  49   50  49   49
## S g1 a50 t51 0.968164                   1  50   51  50   50
## S g1 a51 t52 0.968164                   1  51   52  51   51
## S g1 a52 t53 0.968164                   1  52   53  52   52
## S g1 a53 t54 0.968164                   1  53   54  53   53
## S g1 a54 t55 0.968164                   1  54   55  54   54
## S g1 a55 t56 0.968164                   1  55   56  55   55
## S g1 a56 t57 0.968164                   1  56   57  56   56
## S g1 a57 t58 0.968164                   1  57   58  57   57
## S g1 a58 t59 0.968164                   1  58   59  58   58
## S g1 a59 t60 0.968164                   1  59   60  59   59
## S g1 a60 t61 0.968164                   1  60   61  60   60
# Notice that the nest survival is the product of the individual S
prod(get.real(mod.cntl, "S", se=TRUE)$estimate)
## [1] 0.09833976
# problem is that the derived parameter is computed over 61 days (nocc)
# we only want the probability computed over 20 days.
# Use the deltamethod.special function

# for all 61 days
prod(get.real(mod.cntl, "S", se=TRUE)$estimate)
## [1] 0.09833976
deltamethod.special("prod", 
                    get.real(mod.cntl, "S", se=TRUE)$estimate,
                    get.real(mod.cntl, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real)
## [1] 0.01875785
# for 20 days
prod(get.real(mod.cntl, "S", se=TRUE)$estimate[1:20])
## [1] 0.467463
deltamethod.special("prod", 
                    get.real(mod.cntl, "S", se=TRUE)$estimate[1:20],
                    get.real(mod.cntl, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real[1:20, 1:20])
## [1] 0.02923489
# linear effect of date (relative to 27 May) 

dim(reddata)
## [1] 537  11
# 1. Process the data.
# The nocc variable is the data at which hatching occurs
red.all.proc <- process.data(reddata, model="Nest", nocc=max(reddata$LastChecked))
red.all.proc
## $data
##            NestId FirstFound LastPresent LastChecked Fate freq Height
## 1    /*1983-175*/         11          11          18    1    1  16.90
## 2    /*1983-176*/         13          22          23    1    1  10.50
## 3    /*1983-178*/          7          26          26    0    1   4.80
## 4    /*1983-180*/         12          14          20    1    1   3.70
## 5    /*1983-181*/          6          20          25    1    1  10.70
## 6    /*1983-182*/         11          19          20    1    1  17.80
## 7    /*1983-187*/         17          17          19    1    1   6.40
## 8    /*1983-188*/         11          30          30    0    1  13.50
## 9    /*1983-191*/         10          14          19    1    1  15.10
## 10   /*1983-193*/         12          21          22    1    1   8.30
## 11   /*1983-196*/         11          11          14    1    1  10.90
## 12   /*1983-204*/         12          12          17    1    1   7.30
## 13   /*1983-207*/         11          31          31    0    1  13.70
## 14   /*1983-220*/          9           9          13    1    1   2.65
## 15   /*1983-221*/         18          36          36    0    1   5.90
## 16   /*1983-224*/         13          13          19    1    1  11.80
## 17   /*1983-229*/         18          20          21    1    1   2.90
## 18   /*1983-233*/         18          25          26    1    1  11.40
## 19   /*1983-246*/         19          19          25    1    1   1.71
## 20   /*1983-249*/         17          20          21    1    1   3.90
## 21   /*1983-252*/         18          33          33    0    1   8.20
## 22   /*1983-253*/         20          32          32    0    1   4.20
## 23   /*1983-254*/         18          31          31    0    1   3.70
## 24   /*1983-255*/         18          30          30    0    1  13.40
## 25   /*1983-263*/         21          24          26    1    1   7.30
## 26   /*1983-264*/         21          21          25    1    1  10.90
## 27   /*1983-265*/         24          38          39    1    1  15.90
## 28   /*1983-266*/         24          45          45    0    1   4.50
## 29   /*1983-270*/         24          34          40    1    1   7.00
## 30   /*1983-273*/         26          29          30    1    1   2.07
## 31   /*1983-275*/         26          27          27    0    1   4.70
## 32   /*1983-278*/         21          42          42    0    1   5.10
## 33   /*1983-280*/         34          38          39    1    1   4.40
## 34   /*1983-281*/         37          55          56    1    1   3.10
## 35   /*1983-282*/         28          30          30    0    1  10.10
## 36   /*1983-290*/         33          35          35    0    1   5.00
## 37   /*1983-292*/         33          33          35    1    1   3.40
## 38   /*1983-293*/         40          46          46    0    1   0.46
## 39   /*1984-298*/         10          33          33    0    1  14.03
## 40   /*1984-299*/          8          10          12    1    1   1.35
## 41   /*1984-300*/          9          30          30    0    1  15.29
## 42   /*1984-302*/          9          20          21    1    1   4.90
## 43   /*1984-307*/         16          38          38    0    1  15.33
## 44   /*1984-309*/         15          18          22    1    1   1.84
## 45   /*1984-310*/         16          31          33    1    1   5.65
## 46   /*1984-311*/         15          37          37    0    1  11.02
## 47   /*1984-313*/         13          35          36    1    1   1.84
## 48   /*1984-314*/         15          38          38    0    1   8.51
## 49   /*1984-315*/          9          28          31    1    1   1.84
## 50   /*1984-316*/         18          27          28    1    1  18.50
## 51   /*1984-317*/         15          29          31    1    1   4.26
## 52   /*1984-320*/         18          40          40    0    1   4.39
## 53   /*1984-323*/         18          41          42    1    1   1.90
## 54   /*1984-324*/         12          31          31    0    1   3.10
## 55   /*1984-325*/         19          44          44    0    1   6.90
## 56   /*1984-326*/         14          33          33    0    1   4.68
## 57   /*1984-328*/         19          29          32    1    1  12.09
## 58   /*1984-329*/         19          27          29    1    1   3.60
## 59   /*1984-332*/         19          34          34    0    1   1.90
## 60   /*1984-336*/         27          48          54    1    1  10.53
## 61   /*1984-337*/         24          24          26    1    1   2.80
## 62   /*1984-338*/         31          53          53    0    1   2.76
## 63   /*1984-340*/         25          28          29    1    1   5.15
## 64   /*1984-341*/         25          35          35    0    1   0.68
## 65   /*1984-342*/         25          30          31    1    1   2.80
## 66   /*1984-343*/         25          30          31    1    1   2.48
## 67   /*1984-345*/         25          30          30    0    1   3.50
## 68   /*1984-346*/         25          43          43    0    1   2.12
## 69   /*1984-347*/         26          33          33    0    1   3.38
## 70   /*1984-349*/         34          40          41    1    1   6.21
## 71   /*1985-434*/          7          27          27    0    1   2.60
## 72   /*1985-435*/          8           8          15    1    1   2.40
## 73   /*1985-436*/          7           8          15    1    1   2.90
## 74   /*1985-437*/          7           8          12    1    1   8.50
## 75   /*1985-438*/          6          26          26    0    1  10.00
## 76   /*1985-439*/         15          25          25    0    1  28.40
## 77   /*1985-441*/          7          28          28    0    1   3.40
## 78   /*1985-442*/          6          28          28    0    1   2.00
## 79   /*1985-443*/         11          33          33    0    1   3.80
## 80   /*1985-444*/         10          32          32    0    1   9.30
## 81   /*1985-448*/         18          31          35    1    1  16.70
## 82   /*1985-449*/          9          32          32    0    1   5.90
## 83   /*1985-450*/         10          33          33    0    1   3.30
## 84   /*1985-451*/          4          25          25    0    1   6.70
## 85   /*1985-457*/         11          18          21    1    1   1.90
## 86   /*1985-458*/         15          35          35    0    1  14.60
## 87   /*1985-459*/          8          19          22    1    1   4.00
## 88   /*1985-460*/         12          29          31    1    1   3.50
## 89   /*1985-462*/         16          32          35    1    1   4.00
## 90   /*1985-463*/         18          38          38    0    1  13.80
## 91   /*1985-464*/         12          26          26    0    1   3.60
## 92   /*1985-469*/         10          30          30    0    1   1.95
## 93   /*1985-485*/         21          28          31    1    1   6.20
## 94   /*1985-490*/         24          26          26    0    1   3.00
## 95   /*1985-492*/         24          33          33    0    1   9.70
## 96   /*1985-498*/         29          35          36    1    1  14.00
## 97   /*1985-499*/         29          30          31    1    1  15.70
## 98   /*1985-500*/         29          35          36    1    1   1.50
## 99   /*1985-502*/         30          30          31    1    1  16.80
## 100  /*1985-506*/         31          32          33    1    1  21.40
## 101  /*1985-507*/         31          44          44    0    1   8.00
## 102  /*1985-508*/         31          33          33    0    1  18.00
## 103  /*1985-527*/         49          53          53    0    1  16.40
## 104  /*1985-528*/         55          56          56    0    1   1.80
## 105  /*1986-529*/          1          23          23    0    1   3.06
## 106  /*1986-530*/          3          18          19    1    1   3.81
## 107  /*1986-534*/          3          25          25    0    1   6.13
## 108  /*1986-536*/          7          19          23    1    1   6.30
## 109  /*1986-537*/          4          27          27    0    1  11.50
## 110  /*1986-538*/          7          27          27    0    1  14.00
## 111  /*1986-539*/          4          26          26    0    1   3.90
## 112  /*1986-543*/          1           6          11    1    1   4.93
## 113  /*1986-547*/          6          29          29    0    1  17.78
## 114  /*1986-548*/          4          25          25    0    1   1.79
## 115  /*1986-559*/          8          31          31    0    1   5.27
## 116  /*1986-565*/          7          30          30    0    1  13.74
## 117  /*1986-567*/          8          30          30    0    1   3.98
## 118  /*1986-568*/         10          30          30    0    1  15.89
## 119  /*1986-569*/          4          26          26    0    1   5.00
## 120  /*1986-574*/          6          20          22    1    1   3.28
## 121  /*1986-575*/          6          28          28    0    1   3.51
## 122  /*1986-576*/         10          30          30    0    1  13.91
## 123  /*1986-578*/          4          21          23    1    1  17.79
## 124  /*1986-579*/          5           9          11    1    1   2.85
## 125  /*1986-588*/         12          14          15    1    1   3.80
## 126  /*1986-589*/          7          27          27    0    1   2.57
## 127  /*1986-590*/          7          21          22    1    1   2.20
## 128  /*1986-592*/         13          35          35    0    1  20.83
## 129  /*1986-593*/         17          37          37    0    1  16.31
## 130  /*1986-605*/         19          30          32    1    1   2.44
## 131  /*1986-623*/         19          19          20    1    1  11.50
## 132  /*1986-625*/         24          45          45    0    1  14.85
## 133  /*1986-626*/         24          46          46    0    1  15.50
## 134  /*1986-627*/         25          38          41    1    1   1.15
## 135  /*1986-637*/         20          31          31    0    1  12.85
## 136  /*1986-638*/         22          30          30    0    1  13.30
## 137  /*1986-644*/         23          24          24    0    1   3.75
## 138  /*1986-645*/         23          25          25    0    1  14.33
## 139  /*1986-648*/         23          26          26    0    1   2.31
## 140  /*1986-649*/         23          35          35    0    1   1.21
## 141  /*1986-650*/         25          38          38    0    1   4.73
## 142  /*1986-651*/         25          31          31    0    1  14.43
## 143  /*1986-652*/         25          30          30    0    1   2.23
## 144  /*1986-653*/         25          38          38    0    1  16.44
## 145  /*1986-657*/         27          28          28    0    1   5.56
## 146  /*1986-658*/         28          35          35    0    1  16.00
## 147  /*1986-659*/         29          51          51    0    1  21.79
## 148   /*1986-66*/         41          49          49    0    1  20.00
## 149  /*1986-661*/         32          53          53    0    1   4.40
## 150  /*1986-671*/         35          38          38    0    1  19.81
## 151  /*1986-674*/         37          38          38    0    1  21.14
## 152   /*1986-68*/          2          23          23    0    1   4.22
## 153  /*1987-680*/          3          23          23    0    1  15.35
## 154  /*1987-694*/          2          23          23    0    1  19.32
## 155  /*1987-695*/          4          25          25    0    1  15.60
## 156  /*1987-696*/          4          24          24    0    1  20.76
## 157  /*1987-705*/          5           5          10    1    1  17.32
## 158  /*1987-706*/          5          25          25    0    1  17.91
## 159  /*1987-709*/          9          31          31    0    1   4.80
## 160  /*1987-712*/          3          24          24    0    1  20.16
## 161  /*1987-713*/          4          25          25    0    1   2.80
## 162  /*1987-714*/          1          21          21    0    1  21.33
## 163  /*1987-716*/          7          24          26    1    1   4.03
## 164  /*1987-723*/          9          30          30    0    1   1.88
## 165  /*1987-732*/          8          28          28    0    1   1.51
## 166  /*1987-737*/         11          33          33    0    1  19.41
## 167  /*1987-738*/          4          10          11    1    1   7.12
## 168  /*1987-739*/          5          16          17    1    1   2.47
## 169  /*1987-771*/         10          17          23    1    1   2.79
## 170  /*1987-775*/         16          39          39    0    1  27.75
## 171  /*1987-778*/         10          10          13    1    1   1.44
## 172  /*1987-785*/         16          22          22    0    1  16.62
## 173  /*1987-787*/         17          21          21    0    1   3.96
## 174  /*1987-789*/         18          30          31    1    1   2.60
## 175  /*1987-797*/         20          29          29    0    1   1.02
## 176  /*1987-802*/         20          27          27    0    1   4.08
## 177  /*1987-803*/         21          26          27    1    1   6.09
## 178  /*1987-804*/         21          26          27    1    1   2.67
## 179  /*1987-808*/         22          26          27    1    1  12.05
## 180  /*1987-809*/         22          23          23    0    1   5.35
## 181  /*1987-811*/         22          38          38    0    1   5.53
## 182  /*1987-818*/         23          25          25    0    1  10.27
## 183  /*1987-819*/         23          34          34    0    1   4.85
## 184  /*1987-820*/         23          27          27    0    1   5.12
## 185  /*1987-828*/         25          31          31    0    1   1.41
## 186  /*1987-829*/         25          28          28    0    1   4.00
## 187  /*1987-840*/         29          31          31    0    1   1.01
## 188  /*1987-841*/         29          33          33    0    1   3.83
## 189  /*1987-842*/         29          35          35    0    1  11.40
## 190  /*1987-846*/         33          38          38    0    1  16.14
## 191 /*1988-1004*/         34          51          51    0    1   2.50
## 192 /*1988-1006*/         39          42          42    0    1  11.30
## 193 /*1988-1008*/         45          48          48    0    1  21.20
## 194 /*1988-1019*/         47          54          54    0    1  15.50
## 195  /*1988-890*/          7          29          29    0    1   3.60
## 196  /*1988-893*/          9          29          29    0    1  17.40
## 197  /*1988-896*/          9          15          19    1    1   4.70
## 198  /*1988-897*/         11          12          14    1    1   4.70
## 199  /*1988-899*/         12          33          33    0    1   2.60
## 200  /*1988-900*/          7          29          29    0    1   2.90
## 201  /*1988-910*/          8          29          29    0    1   4.50
## 202  /*1988-911*/          9          29          29    0    1   2.70
## 203  /*1988-917*/          9          30          30    0    1   1.60
## 204  /*1988-921*/         17          38          38    0    1   9.10
## 205  /*1988-922*/         17          33          37    1    1  20.10
## 206  /*1988-932*/         10          30          30    0    1   3.80
## 207  /*1988-935*/         16          31          31    0    1   3.20
## 208  /*1988-936*/         11          32          32    0    1   4.10
## 209  /*1988-938*/         19          39          39    0    1   3.40
## 210  /*1988-942*/         21          30          30    0    1   2.90
## 211  /*1988-944*/         21          29          29    0    1   1.90
## 212  /*1988-958*/         15          15          17    1    1  15.30
## 213  /*1988-959*/         15          29          29    0    1  13.00
## 214  /*1988-960*/         15          29          29    0    1   6.70
## 215  /*1988-961*/         17          39          39    0    1  12.70
## 216  /*1988-962*/         26          47          47    0    1  22.80
## 217  /*1988-963*/         22          43          43    0    1   4.40
## 218  /*1988-964*/         16          32          32    0    1   2.10
## 219  /*1988-970*/         23          29          29    0    1  14.00
## 220  /*1988-972*/         23          32          32    0    1  15.60
## 221  /*1988-973*/         32          45          49    1    1  19.80
## 222  /*1988-974*/         25          48          48    0    1  17.10
## 223  /*1988-976*/         23          36          36    0    1  15.00
## 224  /*1988-977*/         24          44          44    0    1   1.50
## 225  /*1988-981*/         27          31          31    0    1  11.50
## 226  /*1988-983*/         28          31          31    0    1  19.70
## 227  /*1988-984*/         29          36          36    0    1  16.50
## 228  /*1988-985*/         38          45          46    1    1  18.40
## 229  /*1988-991*/         26          26          27    1    1  10.00
## 230  /*1988-992*/         33          36          36    0    1  17.80
## 231  /*1988-993*/         33          42          42    0    1   0.90
## 232  /*1988-994*/         34          43          43    0    1  10.30
## 233 /*1989-1039*/          5          26          26    0    1  20.60
## 234 /*1989-1040*/          2           3           5    1    1   1.80
## 235 /*1989-1071*/          8          29          29    0    1   9.80
## 236 /*1989-1076*/          5          20          23    1    1   1.60
## 237 /*1989-1077*/          3          25          25    0    1  13.50
## 238 /*1989-1078*/          8          25          25    0    1  10.90
## 239 /*1989-1081*/         10          30          30    0    1  18.70
## 240 /*1989-1092*/         11          11          12    1    1  17.00
## 241 /*1989-1104*/          9          18          21    1    1   9.20
## 242 /*1989-1109*/         29          51          51    0    1  17.80
## 243 /*1989-1111*/         12          21          22    1    1  15.50
## 244 /*1989-1112*/         12          35          35    0    1  17.10
## 245 /*1989-1114*/         16          17          18    1    1   5.50
## 246 /*1989-1115*/         23          43          43    0    1  12.60
## 247 /*1989-1116*/         23          42          42    0    1   9.70
## 248 /*1989-1118*/         12          33          33    0    1   1.60
## 249 /*1989-1120*/         11          11          12    1    1   9.30
## 250 /*1989-1121*/         11          26          26    0    1   3.70
## 251 /*1989-1123*/         16          18          20    1    1  20.50
## 252 /*1989-1124*/         21          42          42    0    1   0.80
## 253 /*1989-1125*/         24          27          30    1    1  19.90
## 254 /*1989-1127*/         32          39          39    0    1  15.90
## 255 /*1989-1129*/         25          36          36    0    1   3.00
## 256 /*1989-1131*/         41          44          44    0    1  19.70
## 257 /*1989-1133*/         26          41          41    0    1  16.80
## 258 /*1989-1134*/         26          36          36    0    1  14.90
## 259 /*1989-1135*/         23          41          41    0    1   1.30
## 260 /*1989-1137*/         29          49          49    0    1  24.40
## 261 /*1989-1151*/         27          35          35    0    1  22.90
## 262 /*1989-1152*/         28          28          30    1    1   2.20
## 263 /*1989-1153*/         27          51          51    0    1   2.20
## 264 /*1989-1154*/         30          37          37    0    1   0.80
## 265 /*1989-1155*/          9          32          32    0    1   2.50
## 266 /*1989-1156*/         11          24          27    1    1  17.10
## 267 /*1989-1158*/         11          18          20    1    1   1.60
## 268 /*1989-1161*/         19          20          21    1    1   1.30
## 269 /*1989-1162*/         16          24          24    0    1   1.60
## 270 /*1989-1163*/         16          30          30    0    1   3.70
## 271 /*1989-1180*/         31          40          41    1    1  17.10
## 272 /*1989-1181*/         33          39          41    1    1  14.50
## 273 /*1989-1182*/         33          34          34    0    1  11.10
## 274  /*1990-104*/         18          26          27    1    1   4.60
## 275  /*1990-105*/         28          29          30    1    1   3.90
## 276   /*1990-12*/          7          28          28    0    1   2.20
## 277  /*1990-123*/         11          33          33    0    1   1.00
## 278  /*1990-127*/         12          35          35    0    1   5.60
## 279  /*1990-128*/         11          35          35    0    1  10.60
## 280  /*1990-130*/         18          29          36    1    1  18.40
## 281  /*1990-132*/         20          43          43    0    1  11.40
## 282  /*1990-133*/         27          40          46    1    1  14.80
## 283  /*1990-134*/         18          33          36    1    1   2.00
## 284  /*1990-135*/         19          32          32    0    1   8.32
## 285  /*1990-136*/         26          34          34    0    1   1.40
## 286  /*1990-143*/         30          34          34    0    1  11.10
## 287  /*1990-145*/         31          43          44    1    1  24.00
## 288  /*1990-146*/         32          34          34    0    1  16.40
## 289  /*1990-147*/         33          45          45    0    1  24.30
## 290  /*1990-148*/         33          35          35    0    1   1.90
## 291  /*1990-150*/         17          34          34    0    1   3.70
## 292   /*1990-18*/          8          31          31    0    1  24.00
## 293   /*1990-19*/         13          33          33    0    1  20.60
## 294   /*1990-20*/         11          34          34    0    1  10.20
## 295   /*1990-21*/          8          30          30    0    1   5.90
## 296  /*1990-315*/         56          57          57    0    1   5.10
## 297  /*1990-316*/         26          38          39    1    1   3.00
## 298  /*1990-319*/         34          36          36    0    1  15.10
## 299  /*1990-327*/         33          35          35    0    1   1.90
## 300  /*1990-328*/         33          37          37    0    1   1.60
## 301  /*1990-359*/         38          39          40    1    1   3.40
## 302  /*1990-360*/         38          40          44    1    1   1.60
## 303   /*1990-40*/         12          34          34    0    1   2.50
## 304   /*1990-45*/         12          12          20    1    1  10.70
## 305   /*1990-47*/         14          14          16    1    1   6.00
## 306   /*1990-51*/         11          34          34    0    1   8.40
## 307   /*1990-54*/         14          35          35    0    1   2.10
## 308   /*1990-56*/         17          28          29    1    1   2.10
## 309   /*1990-57*/         12          16          21    1    1   5.10
## 310   /*1990-58*/          9          29          29    0    1  11.20
## 311   /*1990-59*/          6          13          18    1    1  17.90
## 312   /*1990-60*/          9          31          31    0    1  15.10
## 313   /*1990-61*/          7          28          28    0    1   7.10
## 314   /*1990-66*/          9          29          32    1    1   2.30
## 315   /*1990-68*/         15          31          34    1    1   5.00
## 316   /*1990-70*/         27          47          47    0    1  10.80
## 317   /*1990-71*/         23          28          31    1    1   1.65
## 318   /*1990-72*/         16          28          34    1    1   2.40
## 319   /*1990-75*/         17          24          28    1    1   1.60
## 320   /*1990-76*/         19          41          41    0    1  14.00
## 321   /*1990-92*/         20          42          42    0    1  18.40
## 322   /*1990-93*/         18          38          38    0    1  18.80
## 323   /*1990-95*/         18          36          36    0    1   2.30
## 324   /*1990-97*/         26          38          38    0    1  12.90
## 325   /*1990-98*/         18          42          42    0    1   9.90
## 326   /*1990-99*/         21          44          44    0    1   3.30
## 327  /*1991-200*/          1          24          24    0    1   3.50
## 328  /*1991-201*/          2          15          18    1    1   1.50
## 329  /*1991-204*/          5          16          17    1    1  14.60
## 330  /*1991-205*/          2          11          12    1    1   4.10
## 331  /*1991-206*/          7          27          27    0    1   3.35
## 332  /*1991-208*/          5          27          27    0    1   3.57
## 333  /*1991-209*/          6          27          27    0    1   3.15
## 334  /*1991-210*/          5          19          26    1    1   3.70
## 335  /*1991-211*/          2          21          24    1    1   3.40
## 336  /*1991-212*/          1          22          22    0    1   2.60
## 337  /*1991-213*/          1          23          23    0    1   2.55
## 338  /*1991-218*/         11          13          14    1    1   8.75
## 339  /*1991-220*/         13          16          18    1    1  21.00
## 340  /*1991-221*/          5          27          27    0    1   3.90
## 341  /*1991-222*/          7          27          28    1    1   2.41
## 342  /*1991-223*/          1          22          22    0    1   3.50
## 343  /*1991-224*/          5          27          27    0    1   1.95
## 344  /*1991-228*/         11          32          32    0    1   3.90
## 345  /*1991-229*/          3          24          24    0    1   3.05
## 346  /*1991-231*/         16          36          36    0    1   4.40
## 347  /*1991-234*/         16          36          36    0    1  16.70
## 348  /*1991-235*/          5          13          17    1    1  13.00
## 349  /*1991-240*/         11          22          22    0    1   8.35
## 350  /*1991-241*/         18          39          39    0    1   3.45
## 351  /*1991-242*/         18          40          40    0    1   7.75
## 352  /*1991-245*/         16          19          19    0    1   7.70
## 353  /*1991-247*/         14          30          30    0    1   3.40
## 354  /*1991-250*/         13          35          35    0    1   4.66
## 355  /*1991-252*/         15          27          27    0    1   1.25
## 356  /*1991-253*/         19          19          21    1    1   5.20
## 357  /*1991-254*/         27          35          36    1    1  13.10
## 358  /*1991-256*/         19          27          27    0    1   3.44
## 359  /*1991-257*/         19          23          23    0    1   5.80
## 360  /*1991-258*/          7          27          27    0    1   1.38
## 361  /*1991-259*/         22          25          25    0    1   2.65
## 362  /*1991-261*/         24          28          28    0    1   3.38
## 363  /*1991-263*/         28          35          39    1    1   4.60
## 364  /*1991-265*/         24          26          26    0    1   2.70
## 365  /*1991-266*/         24          25          25    0    1   9.90
## 366  /*1991-267*/         28          31          31    0    1  17.60
## 367  /*1991-271*/         29          30          30    0    1  13.60
## 368  /*1991-273*/         30          41          41    0    1  15.30
## 369  /*1991-276*/         36          53          56    1    1   3.00
## 370  /*1991-277*/         32          33          33    0    1  11.20
## 371  /*1992-161*/          8          13          17    1    1   2.80
## 372  /*1992-204*/          7          21          24    1    1   4.30
## 373  /*1992-207*/          6          27          27    0    1   4.40
## 374  /*1992-210*/          8          28          28    0    1  13.10
## 375  /*1992-213*/          7          28          28    0    1   1.90
## 376  /*1992-214*/         10          23          27    1    1   2.90
## 377  /*1992-215*/          9          26          28    1    1   5.40
## 378  /*1992-216*/          9          29          29    0    1   3.20
## 379  /*1992-219*/         10          31          31    0    1   4.70
## 380  /*1992-220*/          8          29          29    0    1   2.00
## 381  /*1992-223*/          7          19          23    1    1   4.70
## 382  /*1992-224*/          8          13          17    1    1   2.70
## 383  /*1992-226*/          8          17          18    1    1  12.00
## 384  /*1992-233*/         22          27          30    1    1  17.00
## 385  /*1992-234*/         19          25          29    1    1   3.90
## 386  /*1992-236*/          9          23          26    1    1  18.70
## 387  /*1992-238*/          6          12          16    1    1   3.70
## 388  /*1992-239*/         11          12          16    1    1   3.70
## 389  /*1992-240*/          8          17          18    1    1   5.40
## 390  /*1992-241*/         14          35          35    0    1   5.50
## 391  /*1992-242*/         13          16          20    1    1   2.70
## 392  /*1992-246*/         12          31          31    0    1  10.20
## 393  /*1992-247*/         12          21          22    1    1   1.10
## 394  /*1992-248*/          9          31          31    0    1   6.10
## 395  /*1992-250*/          7          13          16    1    1   5.50
## 396  /*1992-252*/          8          29          29    0    1   5.40
## 397  /*1992-259*/         15          33          33    0    1  21.30
## 398  /*1992-263*/         19          26          28    1    1   2.90
## 399  /*1992-264*/          7          19          21    1    1   2.90
## 400  /*1992-266*/         22          42          42    0    1  18.10
## 401  /*1992-267*/         17          26          27    1    1  12.60
## 402  /*1992-269*/         19          21          25    1    1   0.90
## 403  /*1992-274*/         17          28          29    1    1  18.00
## 404  /*1992-275*/         23          40          42    1    1   3.70
## 405  /*1992-278*/         22          41          42    1    1   3.50
## 406  /*1992-280*/         23          25          28    1    1   5.80
## 407  /*1992-281*/         25          26          32    1    1  21.80
## 408  /*1992-282*/         18          18          19    1    1   3.30
## 409  /*1992-283*/         26          32          33    1    1  15.80
## 410  /*1992-285*/         21          42          42    0    1  13.30
## 411  /*1992-289*/         28          50          50    0    1  17.40
## 412  /*1992-293*/         20          20          22    1    1   4.90
## 413  /*1992-294*/         22          29          30    1    1   4.50
## 414  /*1992-295*/         22          26          27    1    1   9.70
## 415  /*1992-296*/         34          56          56    0    1  21.50
## 416  /*1992-297*/         26          31          33    1    1   2.30
## 417  /*1992-300*/         36          46          47    1    1   0.90
## 418  /*1992-302*/         24          42          42    0    1   2.20
## 419  /*1992-303*/         27          31          32    1    1   5.00
## 420  /*1992-304*/         38          55          56    1    1   3.20
## 421  /*1992-305*/         34          56          56    0    1   3.80
## 422  /*1992-307*/         23          40          41    1    1   5.90
## 423  /*1992-308*/         34          56          56    0    1  22.80
## 424  /*1992-309*/         35          44          44    0    1   3.50
## 425  /*1992-310*/         35          50          52    1    1   1.10
## 426  /*1992-311*/         38          42          43    1    1   4.60
## 427  /*1992-312*/         24          30          30    0    1  18.20
## 428  /*1992-313*/         24          29          30    1    1   5.10
## 429  /*1992-318*/         27          27          28    1    1   3.60
## 430  /*1992-319*/         32          33          33    0    1  21.10
## 431  /*1992-320*/         35          44          45    1    1   4.10
## 432  /*1992-322*/         40          62          62    0    1  18.00
## 433  /*1992-324*/         40          41          41    0    1   3.15
## 434  /*1992-326*/         52          59          59    0    1  18.70
## 435  /*1993-205*/          1           7          10    1    1   8.10
## 436  /*1993-206*/          1          15          17    1    1   5.30
## 437  /*1993-207*/          1           2           3    1    1   2.00
## 438  /*1993-209*/          2           7          10    1    1   3.00
## 439  /*1993-211*/          3           5           8    1    1   3.00
## 440  /*1993-212*/          2          23          23    0    1   2.50
## 441  /*1993-213*/          2          13          14    1    1   3.90
## 442  /*1993-215*/          5          10          13    1    1   2.60
## 443  /*1993-218*/          9          30          30    0    1   4.40
## 444  /*1993-221*/          5          23          25    1    1   8.50
## 445  /*1993-222*/          5          10          13    1    1   2.20
## 446  /*1993-223*/          7          10          13    1    1   2.40
## 447  /*1993-228*/         17          25          27    1    1   1.50
## 448  /*1993-229*/          8          28          28    0    1  10.80
## 449  /*1993-230*/          4          20          23    1    1   2.10
## 450  /*1993-233*/          8           8          11    1    1   2.10
## 451  /*1993-235*/         11          11          16    1    1  15.80
## 452  /*1993-237*/         18          28          29    1    1   4.80
## 453  /*1993-238*/         11          15          15    0    1  20.10
## 454  /*1993-239*/          8           9          12    1    1   2.00
## 455  /*1993-240*/          6          12          13    1    1   8.10
## 456  /*1993-241*/          6           9          12    1    1   8.30
## 457  /*1993-242*/          7          21          21    0    1   5.80
## 458  /*1993-245*/         18          43          43    0    1  16.80
## 459  /*1993-252*/         20          39          39    0    1   3.40
## 460  /*1993-253*/         19          23          23    0    1   3.20
## 461  /*1993-254*/         30          41          41    0    1   0.93
## 462  /*1993-255*/         36          38          41    1    1   3.40
## 463  /*1993-257*/         34          44          47    1    1  14.80
## 464  /*1993-259*/         11          14          16    1    1  11.80
## 465  /*1993-264*/         14          29          30    1    1   3.00
## 466  /*1993-266*/         21          32          35    1    1  12.50
## 467  /*1993-267*/         21          24          27    1    1   2.20
## 468  /*1993-268*/         19          26          29    1    1   4.20
## 469  /*1993-269*/         19          19          22    1    1   2.20
## 470  /*1993-270*/         14          27          28    1    1   8.00
## 471  /*1993-273*/         15          17          19    1    1   8.30
## 472  /*1993-274*/         19          20          23    1    1   5.70
## 473  /*1993-275*/         25          42          43    1    1   1.63
## 474  /*1993-277*/         18          21          24    1    1   3.90
## 475  /*1993-279*/         21          33          34    1    1   1.87
## 476  /*1993-280*/         16          27          30    1    1   3.00
## 477  /*1993-281*/         17          22          27    1    1  24.30
## 478  /*1993-282*/         24          33          35    1    1   7.30
## 479  /*1993-284*/         25          45          45    0    1  18.30
## 480  /*1993-287*/         25          46          46    0    1   1.80
## 481  /*1993-290*/         38          58          58    0    1  19.80
## 482  /*1993-294*/         21          43          43    0    1  14.60
## 483  /*1993-295*/         23          26          29    1    1   2.30
## 484  /*1993-299*/         20          24          25    1    1   2.60
## 485  /*1993-300*/         18          19          24    1    1   4.40
## 486  /*1993-302*/         33          48          48    0    1  11.40
## 487  /*1993-303*/         35          56          56    0    1   3.40
## 488  /*1994-118*/         24          24          26    1    1   5.72
## 489  /*1994-152*/          4          26          26    0    1   4.32
## 490  /*1994-153*/          3          24          24    0    1  10.55
## 491  /*1994-155*/         10          31          31    0    1   2.96
## 492  /*1994-156*/         10          26          29    1    1   3.06
## 493  /*1994-158*/         10          12          16    1    1   3.72
## 494  /*1994-159*/         12          33          33    0    1  17.77
## 495  /*1994-161*/         12          17          23    1    1   3.67
## 496  /*1994-164*/         14          30          30    0    1   3.93
## 497  /*1994-167*/         18          28          28    0    1  14.82
## 498  /*1994-168*/         10          15          20    1    1   6.38
## 499  /*1994-169*/         11          23          27    1    1   2.81
## 500  /*1994-171*/         15          31          31    0    1   2.92
## 501  /*1994-172*/         19          39          39    0    1   4.88
## 502  /*1994-173*/         19          33          33    0    1   1.82
## 503  /*1994-174*/         17          38          38    0    1   2.93
## 504  /*1994-177*/         19          27          28    1    1   4.75
## 505  /*1994-178*/         20          33          33    0    1   2.94
## 506  /*1994-179*/         18          24          24    0    1   2.54
## 507  /*1994-180*/         20          23          23    0    1   7.74
## 508  /*1994-181*/         20          21          25    1    1   2.55
## 509  /*1994-182*/         21          31          31    0    1   2.53
## 510  /*1994-183*/         21          23          23    0    1   3.68
## 511  /*1994-184*/         34          40          44    1    1  22.70
## 512  /*1994-185*/         21          24          24    0    1   2.31
## 513  /*1994-186*/         22          27          27    0    1   5.50
## 514  /*1994-189*/         35          36          36    0    1  16.54
## 515  /*1994-190*/         27          33          33    0    1   5.07
## 516  /*1995-101*/          8          20          23    1    1   3.59
## 517  /*1995-102*/          4          15          16    1    1   3.67
## 518  /*1995-104*/         11          26          28    1    1   2.86
## 519  /*1995-106*/         10          10          16    1    1  20.39
## 520  /*1995-109*/         14          35          35    0    1   7.56
## 521  /*1995-112*/         18          40          40    0    1  19.58
## 522  /*1995-113*/          9          28          28    0    1   3.11
## 523  /*1995-114*/         17          26          26    0    1   3.71
## 524  /*1995-115*/         17          18          19    1    1   8.15
## 525  /*1995-117*/         25          40          43    1    1  12.13
## 526  /*1995-118*/         20          27          30    1    1  16.18
## 527  /*1995-119*/         20          26          26    0    1  14.26
## 528  /*1995-120*/         20          20          26    1    1   3.57
## 529  /*1995-121*/         24          26          29    1    1   3.90
## 530  /*1995-122*/         24          29          29    0    1   5.14
## 531  /*1995-123*/         23          26          26    0    1  12.64
## 532  /*1995-124*/         25          32          32    0    1  25.02
## 533  /*1995-125*/         25          33          33    0    1   4.37
## 534  /*1995-126*/         26          32          33    1    1   2.10
## 535  /*1995-127*/         26          30          30    0    1  13.35
## 536  /*1995-128*/         26          31          31    0    1   1.83
## 537  /*1995-129*/         27          31          31    0    1  16.89
##     BaffleStatus   DBH AgeDay1 Year
## 1              N 39.00      -8 1983
## 2              N 10.70     -10 1983
## 3              N  8.80      -4 1983
## 4              N  5.10      -9 1983
## 5              N 15.60      -3 1983
## 6              N 46.20      -8 1983
## 7              N  8.90     -14 1983
## 8              N 25.20      -8 1983
## 9              N 24.20      -7 1983
## 10             N 10.20      -9 1983
## 11             N 11.50      -8 1983
## 12             N  9.00      -9 1983
## 13             N 36.50      -8 1983
## 14             N  3.50      -4 1983
## 15             N  4.70     -15 1983
## 16             N 21.30     -10 1983
## 17             N  6.70     -15 1983
## 18             N 55.70     -15 1983
## 19             N  9.50     -16 1983
## 20             N  8.30      -8 1983
## 21             N 10.40      -8 1983
## 22             N  4.40     -18 1983
## 23             N  5.10      -8 1983
## 24             N 26.70      -7 1983
## 25             N  8.20     -10 1983
## 26             N 16.10     -12 1983
## 27             N 17.80     -14 1983
## 28             N 35.20     -22 1983
## 29             N  6.40     -21 1983
## 30             N  3.10     -17 1983
## 31             N  4.70      -4 1983
## 32             N 10.40     -18 1983
## 33             N  7.80     -30 1983
## 34             N  5.30     -35 1983
## 35             N  6.80      -6 1983
## 36             N  9.00     -15 1983
## 37             N  4.10     -24 1983
## 38             N  1.00     -23 1983
## 39             N 29.70      -6 1984
## 40             N  8.00      -5 1984
## 41             N 21.00      -6 1984
## 42             N  8.40      -6 1984
## 43             N 25.60     -13 1984
## 44             N  4.30     -12 1984
## 45             N  7.20     -13 1984
## 46             N 30.90     -12 1984
## 47             N  5.90     -10 1984
## 48             N 13.00     -12 1984
## 49             N  2.20      -6 1984
## 50             N 29.90     -15 1984
## 51             N  6.30     -12 1984
## 52             N  6.10     -15 1984
## 53             N  3.80     -15 1984
## 54             N  3.80      -8 1984
## 55             N  6.30     -16 1984
## 56             N  7.80     -10 1984
## 57             N 37.70     -16 1984
## 58             N  7.90     -15 1984
## 59             N  6.20     -10 1984
## 60             N  9.30     -25 1984
## 61             N  2.60     -13 1984
## 62             N  6.20     -29 1984
## 63             N  9.20     -16 1984
## 64             N  1.00     -12 1984
## 65             N  6.30     -13 1984
## 66             N  3.10      -4 1984
## 67             N 10.60      -7 1984
## 68             N  6.90     -21 1984
## 69             N  3.90     -10 1984
## 70             N 11.00     -21 1984
## 71             N  3.30      -4 1985
## 72             N  3.80      -2 1985
## 73             N  5.60      -4 1985
## 74             N  7.90      -4 1985
## 75             N 11.40      -2 1985
## 76             N 54.10      -1 1985
## 77             N  5.60      -4 1985
## 78             N  5.30      -2 1985
## 79             N  6.90      -8 1985
## 80             Y 27.90      -7 1985
## 81             Y 22.90     -15 1985
## 82             Y  4.80      -6 1985
## 83             Y  3.00      -6 1985
## 84             Y  5.10      -1 1985
## 85             Y  1.80      -8 1985
## 86             Y 23.30     -12 1985
## 87             N  6.10      -4 1985
## 88             N  4.60      -9 1985
## 89             N  4.60     -13 1985
## 90             N 20.00     -15 1985
## 91             Y  5.80      -2 1985
## 92             N  1.50      -7 1985
## 93             N  8.90     -11 1985
## 94             N  3.80      -2 1985
## 95             N 25.20      -8 1985
## 96             N 32.00      -9 1985
## 97             N 28.20      -8 1985
## 98             N  1.00     -15 1985
## 99             N 20.30      -9 1985
## 100            N 28.20      -9 1985
## 101            N  7.60     -20 1985
## 102            N 23.60      -8 1985
## 103            N 31.00     -30 1985
## 104            N  5.60     -33 1985
## 105            N  6.40       2 1986
## 106            N 14.90       1 1986
## 107            N 10.10       0 1986
## 108            N  9.10      -5 1986
## 109            N 11.30      -1 1986
## 110            Y 33.30      -4 1986
## 111            Y  6.60      -1 1986
## 112            N  6.70       2 1986
## 113            N 28.10      -3 1986
## 114            Y  8.20      -1 1986
## 115            N  4.70      -5 1986
## 116            N 42.70      -4 1986
## 117            N  4.90      -5 1986
## 118            N 39.30      -7 1986
## 119            Y  3.00      -1 1986
## 120            N  6.30      -3 1986
## 121            N  5.30      -3 1986
## 122            N 32.00      -7 1986
## 123            N 29.90      -1 1986
## 124            N  5.00      -2 1986
## 125            N  4.30     -10 1986
## 126            N  3.40      -4 1986
## 127            N  4.30      -1 1986
## 128            N 39.10     -10 1986
## 129            Y 54.40     -14 1986
## 130            N  3.50     -17 1986
## 131            N 19.70      -8 1986
## 132            N 37.50     -21 1986
## 133            N 24.30     -21 1986
## 134            N  2.20     -23 1986
## 135            N 22.40      -8 1986
## 136            Y 12.10      -7 1986
## 137            N  4.20      -1 1986
## 138            Y 33.10      -2 1986
## 139            N  9.80      -3 1986
## 140            Y  1.40     -12 1986
## 141            N  7.00     -15 1986
## 142            N 73.50      -8 1986
## 143            N  4.20      -7 1986
## 144            N 33.20     -15 1986
## 145            N  7.10      -5 1986
## 146            N 42.00     -12 1986
## 147            N 44.80     -26 1986
## 148            N 36.20     -26 1986
## 149            Y  8.80     -29 1986
## 150            N 43.40     -15 1986
## 151            N 68.00     -15 1986
## 152            N  6.10       1 1986
## 153            Y 32.20       0 1987
## 154            N 35.60       2 1987
## 155            N 41.70       0 1987
## 156            N 34.60      -1 1987
## 157            N 25.30      -2 1987
## 158            N 28.70      -2 1987
## 159            N 10.30      -6 1987
## 160            N 30.00       0 1987
## 161            N  6.70      -1 1987
## 162            N 38.40       2 1987
## 163            N 13.80      -4 1987
## 164            N  3.30      -6 1987
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## 515      1
## 516      1
## 517      1
## 518      1
## 519      1
## 520      1
## 521      1
## 522      1
## 523      1
## 524      1
## 525      1
## 526      1
## 527      1
## 528      1
## 529      1
## 530      1
## 531      1
## 532      1
## 533      1
## 534      1
## 535      1
## 536      1
## 537      1
## 
## $nocc
## [1] 62
## 
## $nocc.secondary
## NULL
## 
## $time.intervals
##  [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [36] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## 
## $begin.time
## [1] 1
## 
## $age.unit
## [1] 1
## 
## $initial.ages
## [1] 0
## 
## $group.covariates
## NULL
## 
## $nstrata
## [1] 1
## 
## $strata.labels
## [1] ""
## 
## $counts
## NULL
## 
## $reverse
## [1] FALSE
## 
## $areas
## NULL
## 
## $events
## NULL
# 2. Examine and/or modify the ddl. (Not done here)
red.all.ddl <- make.design.data(red.all.proc)
str(red.all.ddl)
## List of 2
##  $ S       :'data.frame':    61 obs. of  7 variables:
##   ..$ par.index  : int [1:61] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ model.index: num [1:61] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ group      : Factor w/ 1 level "1": 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ age        : Factor w/ 61 levels "0","1","2","3",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ time       : Factor w/ 61 levels "1","2","3","4",..: 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ Age        : num [1:61] 0 1 2 3 4 5 6 7 8 9 ...
##   ..$ Time       : num [1:61] 0 1 2 3 4 5 6 7 8 9 ...
##  $ pimtypes:List of 1
##   ..$ S:List of 1
##   .. ..$ pim.type: chr "all"
red.all.ddl 
## $S
##    par.index model.index group age time Age Time
## 1          1           1     1   0    1   0    0
## 2          2           2     1   1    2   1    1
## 3          3           3     1   2    3   2    2
## 4          4           4     1   3    4   3    3
## 5          5           5     1   4    5   4    4
## 6          6           6     1   5    6   5    5
## 7          7           7     1   6    7   6    6
## 8          8           8     1   7    8   7    7
## 9          9           9     1   8    9   8    8
## 10        10          10     1   9   10   9    9
## 11        11          11     1  10   11  10   10
## 12        12          12     1  11   12  11   11
## 13        13          13     1  12   13  12   12
## 14        14          14     1  13   14  13   13
## 15        15          15     1  14   15  14   14
## 16        16          16     1  15   16  15   15
## 17        17          17     1  16   17  16   16
## 18        18          18     1  17   18  17   17
## 19        19          19     1  18   19  18   18
## 20        20          20     1  19   20  19   19
## 21        21          21     1  20   21  20   20
## 22        22          22     1  21   22  21   21
## 23        23          23     1  22   23  22   22
## 24        24          24     1  23   24  23   23
## 25        25          25     1  24   25  24   24
## 26        26          26     1  25   26  25   25
## 27        27          27     1  26   27  26   26
## 28        28          28     1  27   28  27   27
## 29        29          29     1  28   29  28   28
## 30        30          30     1  29   30  29   29
## 31        31          31     1  30   31  30   30
## 32        32          32     1  31   32  31   31
## 33        33          33     1  32   33  32   32
## 34        34          34     1  33   34  33   33
## 35        35          35     1  34   35  34   34
## 36        36          36     1  35   36  35   35
## 37        37          37     1  36   37  36   36
## 38        38          38     1  37   38  37   37
## 39        39          39     1  38   39  38   38
## 40        40          40     1  39   40  39   39
## 41        41          41     1  40   41  40   40
## 42        42          42     1  41   42  41   41
## 43        43          43     1  42   43  42   42
## 44        44          44     1  43   44  43   43
## 45        45          45     1  44   45  44   44
## 46        46          46     1  45   46  45   45
## 47        47          47     1  46   47  46   46
## 48        48          48     1  47   48  47   47
## 49        49          49     1  48   49  48   48
## 50        50          50     1  49   50  49   49
## 51        51          51     1  50   51  50   50
## 52        52          52     1  51   52  51   51
## 53        53          53     1  52   53  52   52
## 54        54          54     1  53   54  53   53
## 55        55          55     1  54   55  54   54
## 56        56          56     1  55   56  55   55
## 57        57          57     1  56   57  56   56
## 58        58          58     1  57   58  57   57
## 59        59          59     1  58   59  58   58
## 60        60          60     1  59   60  59   59
## 61        61          61     1  60   61  60   60
## 
## $pimtypes
## $pimtypes$S
## $pimtypes$S$pim.type
## [1] "all"
# 3. Fit a particular model
# This is a model with linear effect of date (relative to 27 May)
mod.T <-  RMark::mark(red.all.proc, ddl=red.all.ddl,
                         model="Nest",
                         model.parameters=list(
                           S   =list(formula=~Time)
                         )
)
## 
## Output summary for Nest model
## Name : S(~Time) 
## 
## Npar :  2
## -2lnL:  1640.228
## AICc :  1644.229
## 
## Beta
##                 estimate        se       lcl       ucl
## S:(Intercept)  3.5809203 0.1656975  3.256153 3.9056873
## S:Time        -0.0102601 0.0064367 -0.022876 0.0023558
## 
## 
## Real Parameter S
##          1         2         3         4         5         6         7
##  0.9729046 0.9726328 0.9723583 0.9720812 0.9718014 0.9715189 0.9712336
##          8         9        10        11        12        13        14
##  0.9709456 0.9706547 0.9703611 0.9700646 0.9697652 0.9694629 0.9691577
##         15        16        17       18        19        20       21
##  0.9688495 0.9685384 0.9682242 0.967907 0.9675868 0.9672634 0.966937
##         22        23        24        25        26        27        28
##  0.9666074 0.9662746 0.9659387 0.9655995 0.9652571 0.9649113 0.9645623
##         29        30       31        32        33        34        35
##  0.9642099 0.9638541 0.963495 0.9631324 0.9627663 0.9623968 0.9620237
##         36        37       38        39        40        41       42
##  0.9616471 0.9612669 0.960883 0.9604956 0.9601044 0.9597096 0.959311
##         43        44        45        46        47        48        49
##  0.9589086 0.9585024 0.9580924 0.9576785 0.9572607 0.9568389 0.9564132
##         50        51        52        53        54        55        56
##  0.9559835 0.9555497 0.9551119 0.9546699 0.9542239 0.9537736 0.9533191
##         57        58        59        60        61
##  0.9528604 0.9523974 0.9519301 0.9514584 0.9509823
summary(mod.T)
## Output summary for Nest model
## Name : S(~Time) 
## 
## Npar :  2
## -2lnL:  1640.228
## AICc :  1644.229
## 
## Beta
##                 estimate        se       lcl       ucl
## S:(Intercept)  3.5809203 0.1656975  3.256153 3.9056873
## S:Time        -0.0102601 0.0064367 -0.022876 0.0023558
## 
## 
## Real Parameter S
##          1         2         3         4         5         6         7
##  0.9729046 0.9726328 0.9723583 0.9720812 0.9718014 0.9715189 0.9712336
##          8         9        10        11        12        13        14
##  0.9709456 0.9706547 0.9703611 0.9700646 0.9697652 0.9694629 0.9691577
##         15        16        17       18        19        20       21
##  0.9688495 0.9685384 0.9682242 0.967907 0.9675868 0.9672634 0.966937
##         22        23        24        25        26        27        28
##  0.9666074 0.9662746 0.9659387 0.9655995 0.9652571 0.9649113 0.9645623
##         29        30       31        32        33        34        35
##  0.9642099 0.9638541 0.963495 0.9631324 0.9627663 0.9623968 0.9620237
##         36        37       38        39        40        41       42
##  0.9616471 0.9612669 0.960883 0.9604956 0.9601044 0.9597096 0.959311
##         43        44        45        46        47        48        49
##  0.9589086 0.9585024 0.9580924 0.9576785 0.9572607 0.9568389 0.9564132
##         50        51        52        53        54        55        56
##  0.9559835 0.9555497 0.9551119 0.9546699 0.9542239 0.9537736 0.9533191
##         57        58        59        60        61
##  0.9528604 0.9523974 0.9519301 0.9514584 0.9509823
# Look the objects returned in more details
names(mod.T)
##  [1] "data"             "model"            "title"           
##  [4] "model.name"       "links"            "mixtures"        
##  [7] "call"             "parameters"       "time.intervals"  
## [10] "number.of.groups" "group.labels"     "nocc"            
## [13] "begin.time"       "covariates"       "fixed"           
## [16] "design.matrix"    "pims"             "design.data"     
## [19] "strata.labels"    "mlogit.list"      "profile.int"     
## [22] "simplify"         "model.parameters" "results"         
## [25] "output"
names(mod.T$results)
##  [1] "lnl"              "deviance"         "deviance.df"     
##  [4] "npar"             "n"                "AICc"            
##  [7] "beta"             "real"             "beta.vcv"        
## [10] "derived"          "derived.vcv"      "covariate.values"
## [13] "singular"         "real.vcv"
# look at estimates on beta and original scale
mod.T$results$beta  # on the logit scale
##                 estimate        se       lcl       ucl
## S:(Intercept)  3.5809203 0.1656975  3.256153 3.9056873
## S:Time        -0.0102601 0.0064367 -0.022876 0.0023558
mod.T$results$real# on the regular 0-1 scale for each site
##               estimate        se       lcl       ucl fixed    note
## S g1 a0 t1   0.9729046 0.0043680 0.9628936 0.9802700              
## S g1 a1 t2   0.9726328 0.0042547 0.9629370 0.9798452              
## S g1 a2 t3   0.9723583 0.0041400 0.9629772 0.9794132              
## S g1 a3 t4   0.9720812 0.0040241 0.9630137 0.9789743              
## S g1 a4 t5   0.9718014 0.0039071 0.9630461 0.9785286              
## S g1 a5 t6   0.9715189 0.0037892 0.9630740 0.9780765              
## S g1 a6 t7   0.9712336 0.0036707 0.9630966 0.9776181              
## S g1 a7 t8   0.9709456 0.0035518 0.9631135 0.9771541              
## S g1 a8 t9   0.9706547 0.0034330 0.9631237 0.9766850              
## S g1 a9 t10  0.9703611 0.0033147 0.9631264 0.9762114              
## S g1 a10 t11 0.9700646 0.0031973 0.9631204 0.9757341              
## S g1 a11 t12 0.9697652 0.0030814 0.9631046 0.9752542              
## S g1 a12 t13 0.9694629 0.0029678 0.9630774 0.9747729              
## S g1 a13 t14 0.9691577 0.0028574 0.9630371 0.9742918              
## S g1 a14 t15 0.9688495 0.0027510 0.9629815 0.9738126              
## S g1 a15 t16 0.9685384 0.0026500 0.9629084 0.9733374              
## S g1 a16 t17 0.9682242 0.0025555 0.9628149 0.9728688              
## S g1 a17 t18 0.9679070 0.0024693 0.9626980 0.9724095              
## S g1 a18 t19 0.9675868 0.0023929 0.9625541 0.9719628              
## S g1 a19 t20 0.9672634 0.0023284 0.9623794 0.9715322              
## S g1 a20 t21 0.9669370 0.0022775 0.9621700 0.9711213              
## S g1 a21 t22 0.9666074 0.0022423 0.9619220 0.9707338              
## S g1 a22 t23 0.9662746 0.0022246 0.9616318 0.9703730              
## S g1 a23 t24 0.9659387 0.0022258 0.9612961 0.9700417              
## S g1 a24 t25 0.9655995 0.0022471 0.9609128 0.9697420              
## S g1 a25 t26 0.9652571 0.0022890 0.9604805 0.9694747              
## S g1 a26 t27 0.9649113 0.0023516 0.9599989 0.9692398              
## S g1 a27 t28 0.9645623 0.0024344 0.9594688 0.9690364              
## S g1 a28 t29 0.9642099 0.0025367 0.9588915 0.9688626              
## S g1 a29 t30 0.9638541 0.0026572 0.9582691 0.9687161              
## S g1 a30 t31 0.9634950 0.0027948 0.9576038 0.9685944              
## S g1 a31 t32 0.9631324 0.0029482 0.9568978 0.9684948              
## S g1 a32 t33 0.9627663 0.0031161 0.9561535 0.9684148              
## S g1 a33 t34 0.9623968 0.0032973 0.9553727 0.9683519              
## S g1 a34 t35 0.9620237 0.0034908 0.9545575 0.9683039              
## S g1 a35 t36 0.9616471 0.0036957 0.9537093 0.9682690              
## S g1 a36 t37 0.9612669 0.0039112 0.9528294 0.9682454              
## S g1 a37 t38 0.9608830 0.0041365 0.9519191 0.9682316              
## S g1 a38 t39 0.9604956 0.0043712 0.9509790 0.9682264              
## S g1 a39 t40 0.9601044 0.0046146 0.9500100 0.9682287              
## S g1 a40 t41 0.9597096 0.0048664 0.9490126 0.9682375              
## S g1 a41 t42 0.9593110 0.0051262 0.9479872 0.9682520              
## S g1 a42 t43 0.9589086 0.0053938 0.9469341 0.9682715              
## S g1 a43 t44 0.9585024 0.0056689 0.9458534 0.9682955              
## S g1 a44 t45 0.9580924 0.0059513 0.9447454 0.9683234              
## S g1 a45 t46 0.9576785 0.0062408 0.9436100 0.9683548              
## S g1 a46 t47 0.9572607 0.0065373 0.9424471 0.9683892              
## S g1 a47 t48 0.9568389 0.0068407 0.9412567 0.9684264              
## S g1 a48 t49 0.9564132 0.0071509 0.9400387 0.9684661              
## S g1 a49 t50 0.9559835 0.0074679 0.9387928 0.9685079              
## S g1 a50 t51 0.9555497 0.0077915 0.9375188 0.9685518              
## S g1 a51 t52 0.9551119 0.0081219 0.9362166 0.9685974              
## S g1 a52 t53 0.9546699 0.0084589 0.9348858 0.9686445              
## S g1 a53 t54 0.9542239 0.0088025 0.9335261 0.9686932              
## S g1 a54 t55 0.9537736 0.0091527 0.9321372 0.9687431              
## S g1 a55 t56 0.9533191 0.0095096 0.9307187 0.9687942              
## S g1 a56 t57 0.9528604 0.0098731 0.9292704 0.9688463              
## S g1 a57 t58 0.9523974 0.0102433 0.9277918 0.9688995              
## S g1 a58 t59 0.9519301 0.0106202 0.9262825 0.9689535              
## S g1 a59 t60 0.9514584 0.0110039 0.9247422 0.9690083              
## S g1 a60 t61 0.9509823 0.0113943 0.9231704 0.9690638
# derived variabldes is the nest survival probability over the 40 (nocc) days 
names(mod.T$results$derived)
## [1] "S Overall Survival"
mod.T$results$derived$"S Overall Survival"
##     estimate         se        lcl       ucl
## 1 0.09989742 0.02060703 0.06614019 0.1481507
# alternatively
get.real(mod.T, "S", se=TRUE)
##              all.diff.index par.index  estimate        se       lcl
## S g1 a0 t1                1         1 0.9729046 0.0043680 0.9628936
## S g1 a1 t2                2         2 0.9726328 0.0042547 0.9629370
## S g1 a2 t3                3         3 0.9723583 0.0041400 0.9629772
## S g1 a3 t4                4         4 0.9720812 0.0040241 0.9630137
## S g1 a4 t5                5         5 0.9718014 0.0039071 0.9630461
## S g1 a5 t6                6         6 0.9715189 0.0037892 0.9630740
## S g1 a6 t7                7         7 0.9712336 0.0036707 0.9630966
## S g1 a7 t8                8         8 0.9709456 0.0035518 0.9631135
## S g1 a8 t9                9         9 0.9706547 0.0034330 0.9631237
## S g1 a9 t10              10        10 0.9703611 0.0033147 0.9631264
## S g1 a10 t11             11        11 0.9700646 0.0031973 0.9631204
## S g1 a11 t12             12        12 0.9697652 0.0030814 0.9631046
## S g1 a12 t13             13        13 0.9694629 0.0029678 0.9630774
## S g1 a13 t14             14        14 0.9691577 0.0028574 0.9630371
## S g1 a14 t15             15        15 0.9688495 0.0027510 0.9629815
## S g1 a15 t16             16        16 0.9685384 0.0026500 0.9629084
## S g1 a16 t17             17        17 0.9682242 0.0025555 0.9628149
## S g1 a17 t18             18        18 0.9679070 0.0024693 0.9626980
## S g1 a18 t19             19        19 0.9675868 0.0023929 0.9625541
## S g1 a19 t20             20        20 0.9672634 0.0023284 0.9623794
## S g1 a20 t21             21        21 0.9669370 0.0022775 0.9621700
## S g1 a21 t22             22        22 0.9666074 0.0022423 0.9619220
## S g1 a22 t23             23        23 0.9662746 0.0022246 0.9616318
## S g1 a23 t24             24        24 0.9659387 0.0022258 0.9612961
## S g1 a24 t25             25        25 0.9655995 0.0022471 0.9609128
## S g1 a25 t26             26        26 0.9652571 0.0022890 0.9604805
## S g1 a26 t27             27        27 0.9649113 0.0023516 0.9599989
## S g1 a27 t28             28        28 0.9645623 0.0024344 0.9594688
## S g1 a28 t29             29        29 0.9642099 0.0025367 0.9588915
## S g1 a29 t30             30        30 0.9638541 0.0026572 0.9582691
## S g1 a30 t31             31        31 0.9634950 0.0027948 0.9576038
## S g1 a31 t32             32        32 0.9631324 0.0029482 0.9568978
## S g1 a32 t33             33        33 0.9627663 0.0031161 0.9561535
## S g1 a33 t34             34        34 0.9623968 0.0032973 0.9553727
## S g1 a34 t35             35        35 0.9620237 0.0034908 0.9545575
## S g1 a35 t36             36        36 0.9616471 0.0036957 0.9537093
## S g1 a36 t37             37        37 0.9612669 0.0039112 0.9528294
## S g1 a37 t38             38        38 0.9608830 0.0041365 0.9519191
## S g1 a38 t39             39        39 0.9604956 0.0043712 0.9509790
## S g1 a39 t40             40        40 0.9601044 0.0046146 0.9500100
## S g1 a40 t41             41        41 0.9597096 0.0048664 0.9490126
## S g1 a41 t42             42        42 0.9593110 0.0051262 0.9479872
## S g1 a42 t43             43        43 0.9589086 0.0053938 0.9469341
## S g1 a43 t44             44        44 0.9585024 0.0056689 0.9458534
## S g1 a44 t45             45        45 0.9580924 0.0059513 0.9447454
## S g1 a45 t46             46        46 0.9576785 0.0062408 0.9436100
## S g1 a46 t47             47        47 0.9572607 0.0065373 0.9424471
## S g1 a47 t48             48        48 0.9568389 0.0068407 0.9412567
## S g1 a48 t49             49        49 0.9564132 0.0071509 0.9400387
## S g1 a49 t50             50        50 0.9559835 0.0074679 0.9387928
## S g1 a50 t51             51        51 0.9555497 0.0077915 0.9375188
## S g1 a51 t52             52        52 0.9551119 0.0081219 0.9362166
## S g1 a52 t53             53        53 0.9546699 0.0084589 0.9348858
## S g1 a53 t54             54        54 0.9542239 0.0088025 0.9335261
## S g1 a54 t55             55        55 0.9537736 0.0091527 0.9321372
## S g1 a55 t56             56        56 0.9533191 0.0095096 0.9307187
## S g1 a56 t57             57        57 0.9528604 0.0098731 0.9292704
## S g1 a57 t58             58        58 0.9523974 0.0102433 0.9277918
## S g1 a58 t59             59        59 0.9519301 0.0106202 0.9262825
## S g1 a59 t60             60        60 0.9514584 0.0110039 0.9247422
## S g1 a60 t61             61        61 0.9509823 0.0113943 0.9231704
##                    ucl fixed    note group age time Age Time
## S g1 a0 t1   0.9802700                   1   0    1   0    0
## S g1 a1 t2   0.9798452                   1   1    2   1    1
## S g1 a2 t3   0.9794132                   1   2    3   2    2
## S g1 a3 t4   0.9789743                   1   3    4   3    3
## S g1 a4 t5   0.9785286                   1   4    5   4    4
## S g1 a5 t6   0.9780765                   1   5    6   5    5
## S g1 a6 t7   0.9776181                   1   6    7   6    6
## S g1 a7 t8   0.9771541                   1   7    8   7    7
## S g1 a8 t9   0.9766850                   1   8    9   8    8
## S g1 a9 t10  0.9762114                   1   9   10   9    9
## S g1 a10 t11 0.9757341                   1  10   11  10   10
## S g1 a11 t12 0.9752542                   1  11   12  11   11
## S g1 a12 t13 0.9747729                   1  12   13  12   12
## S g1 a13 t14 0.9742918                   1  13   14  13   13
## S g1 a14 t15 0.9738126                   1  14   15  14   14
## S g1 a15 t16 0.9733374                   1  15   16  15   15
## S g1 a16 t17 0.9728688                   1  16   17  16   16
## S g1 a17 t18 0.9724095                   1  17   18  17   17
## S g1 a18 t19 0.9719628                   1  18   19  18   18
## S g1 a19 t20 0.9715322                   1  19   20  19   19
## S g1 a20 t21 0.9711213                   1  20   21  20   20
## S g1 a21 t22 0.9707338                   1  21   22  21   21
## S g1 a22 t23 0.9703730                   1  22   23  22   22
## S g1 a23 t24 0.9700417                   1  23   24  23   23
## S g1 a24 t25 0.9697420                   1  24   25  24   24
## S g1 a25 t26 0.9694747                   1  25   26  25   25
## S g1 a26 t27 0.9692398                   1  26   27  26   26
## S g1 a27 t28 0.9690364                   1  27   28  27   27
## S g1 a28 t29 0.9688626                   1  28   29  28   28
## S g1 a29 t30 0.9687161                   1  29   30  29   29
## S g1 a30 t31 0.9685944                   1  30   31  30   30
## S g1 a31 t32 0.9684948                   1  31   32  31   31
## S g1 a32 t33 0.9684148                   1  32   33  32   32
## S g1 a33 t34 0.9683519                   1  33   34  33   33
## S g1 a34 t35 0.9683039                   1  34   35  34   34
## S g1 a35 t36 0.9682690                   1  35   36  35   35
## S g1 a36 t37 0.9682454                   1  36   37  36   36
## S g1 a37 t38 0.9682316                   1  37   38  37   37
## S g1 a38 t39 0.9682264                   1  38   39  38   38
## S g1 a39 t40 0.9682287                   1  39   40  39   39
## S g1 a40 t41 0.9682375                   1  40   41  40   40
## S g1 a41 t42 0.9682520                   1  41   42  41   41
## S g1 a42 t43 0.9682715                   1  42   43  42   42
## S g1 a43 t44 0.9682955                   1  43   44  43   43
## S g1 a44 t45 0.9683234                   1  44   45  44   44
## S g1 a45 t46 0.9683548                   1  45   46  45   45
## S g1 a46 t47 0.9683892                   1  46   47  46   46
## S g1 a47 t48 0.9684264                   1  47   48  47   47
## S g1 a48 t49 0.9684661                   1  48   49  48   48
## S g1 a49 t50 0.9685079                   1  49   50  49   49
## S g1 a50 t51 0.9685518                   1  50   51  50   50
## S g1 a51 t52 0.9685974                   1  51   52  51   51
## S g1 a52 t53 0.9686445                   1  52   53  52   52
## S g1 a53 t54 0.9686932                   1  53   54  53   53
## S g1 a54 t55 0.9687431                   1  54   55  54   54
## S g1 a55 t56 0.9687942                   1  55   56  55   55
## S g1 a56 t57 0.9688463                   1  56   57  56   56
## S g1 a57 t58 0.9688995                   1  57   58  57   57
## S g1 a58 t59 0.9689535                   1  58   59  58   58
## S g1 a59 t60 0.9690083                   1  59   60  59   59
## S g1 a60 t61 0.9690638                   1  60   61  60   60
plotdata <- get.real(mod.T, "S", se=TRUE)
ggplot(data=plotdata, aes(x=time, y=estimate, group=1))+
  ggtitle("Linear effect on DSR")+
  geom_line()+
  geom_ribbon(aes(ymin=lcl, ymax=ucl), alpha=0.2)+
  ylim(0.5,1)

# Notice that the nest survival is the product of the individual S
prod(get.real(mod.T, "S", se=TRUE)$estimate)
## [1] 0.09989747
# problem is that the derived parameter is computed over 61 days (nocc)
# we only want the probability computed over 20 days but starting when?.
# Use the deltamethod.special function

# for 20 days at start of experiment/
prod(get.real(mod.T, "S", se=TRUE)$estimate[1:20])
## [1] 0.5456371
deltamethod.special("prod", 
                    get.real(mod.T, "S", se=TRUE)$estimate[1:20],
                    get.real(mod.T, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real[1:20, 1:20])
## [1] 0.03612687
# for 20 days at middle of experiment/
prod(get.real(mod.T, "S", se=TRUE)$estimate[21:40])
## [1] 0.4765181
deltamethod.special("prod", 
                    get.real(mod.T, "S", se=TRUE)$estimate[21:40],
                    get.real(mod.T, "S", se=TRUE, vcv=TRUE, expand=TRUE)$vcv.real[21:40, 21:40])
## [1] 0.0273521
cleanup(ask=FALSE)