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RMark Burnham Ananlysis

2 messages · Jeffrey_Warren at fws.gov, Jeff Laake

#
I'm currently conducting an analysis of seasonal survival in RMark using
Burnham's joint analysis model.  The year is broken into the non-breeding
season (Sept. - April) and the breeding season (May-August).  Capture
periods occur in May, June, and August, so that the breeding season is
divided into 2 intervals (mid-May to mid-June and mid-June to late August)
and the non-breeding season is a single interval from September to April.
In MARK I could go into the PIMS and 'constrain' the 2 intervals of a
breeding season to have the same survival, but I can't figure out how to do
this in RMark.  It seems that adding a factor for breeding season and
non-breeding season may be the only way to do this.  This would require a
new factor for each model of interest (e.g., nbs(.) bs(.) vs. nbs(t) bs(t))
- I wanted to see if there were other options before going further.  Any
ideas would be appreciated.

Thanks,

Jeff Warren
Wildlife Biologist
Red Rock Lakes NWR
Lima, Montana 59739
(406) 276-3536
#
Best place to post questions about RMark is on the phidot MARK forum.  I 
do get postings from this list but in digest form but I don't always 
review carefully.  Also, since RMark is not on CRAN many on this list 
may not be aware of RMark.

Now to your question.  You are on the right track to add another factor 
variable but not for groups.  I didn't quite understand your notation 
but you need to add a factor variable to the design data for S that you 
can use in place of the default time field.  I don't know how you have 
your time intervals set up but let's say it is something like below 
where time starts at beginning of "year" and end of breeding is after .2 
of a year (not sure arithmetic is correct here). Because S is an 
interval paramter, time will be given the value of the beginning of the 
interval.  Thus, records in the design data with values of 
1.0,1.1,2.0,2.1  etc are breeding season periods and the periods 
1.2,2.2,... will be non-breeding periods

ddl$S
time
1.0    breeding
1.1    breeding
1.2    non-breeding
2.0    breeding
2.1    breeding
2.2    non-breeding
.
.

So you can create 2 factor variables. One could be B or N for breeding 
non-breeding that would allow you to fit a model with differences 
between seasons but not years and the other would be Year which would be 
for yearly effects.   You could do this as follows if your design data 
is names ddl:

ddl$S$season="B"
ddl$S$season[ddl$S$Time-floor(ddl$S$Time)>0.15]="N"
ddl$S$season=factor(ddl$S$season)
ddl$S$year=factor(floor(ddl$S$Time))

Then you can use models for S like ~season, ~year, ~season+year or 
~season*year where the latter is equivalent to ~time.  Note that I 
didn't check the above in R and you'll want to modify to fit your time 
setup but it should get going in the right direction.

--jeff