within and between season survival

Hi, is there an analysis method that incorporates within and between season captures/recaptures. I am interested in winter survival for a migratory bird. Similar to the paper in the link below.
https://www.jstor.org/stable/pdf/10.1525/cond.2012.110088.pdf
In this paper the authors have several trapping sessions per winter, but combine all captures/recaptures within a winter into a single column for the capture history and then use several years to estimate winter survival. It seems like recapture probability (and probably survival too) would be more accurate if both within and between season trapping sessions were incorporated.
This may be addressed elsewhere but I have not been able to find it. Thank you for any help provided.
Chance
https://www.jstor.org/stable/pdf/10.1525/cond.2012.110088.pdf
In this paper the authors have several trapping sessions per winter, but combine all captures/recaptures within a winter into a single column for the capture history and then use several years to estimate winter survival. It seems like recapture probability (and probably survival too) would be more accurate if both within and between season trapping sessions were incorporated.
This may be addressed elsewhere but I have not been able to find it. Thank you for any help provided.
Chance