Super Population Capture-Recapture Model Augmented with Genetic Data

Abstract

Ecologists applying capture-recapture models to animal populations sometimes have access to addition information about individuals' populations of origin. For example, tests that assign an individual's genotype to its most likely source population are increas- ingly used. Here we show how to augment a super population capture-recapture model with such information. We consider a single super population model without age structure, and split the entry probability into separate components due to births in situ and immigration. We show that it is possible to estimate these two probabilities separately. We first consider the case of perfect information about population of origin, where we can distinguish individ- uals born in situ from immigrants with certainty. Then we consider the more realistic case of imperfect information, where we use genetic or other information to assign probabilities to each individual's origin in situ or outside the population. We use a resampling approach to impute the perfect origination assignment data based on the imperfect assignment tests. The integration of data on population of origin with capture-recapture data allows us to determine the contributions of immigration and in situ reproeuction to the growth of the population, an issue of importance to ecologists. Further, the augmentation of capture- recapture data with origination data should improve the preciesion of parameter estimates. We illustrate our new models with capture-recapture and genetic assignment test data from a population of banner-tailed kangaroo rats Dipodomys spectabilis in Arizona.

In chapter 4, we evaluate the value of marine reserves for fisheries using tag-return, tag-recapture and telemetry models. We estimate the patch-specific fishing mortality, natu- ral mortality, and movement rates. We first focus on tag-return models for a two-site model with one area a marine reserve and one area a fishing area. We consider tag-return, tag- recapture and telemetry models in various combinations for two site models where one area is a marine reserve and one is subject to regular fishing. Then we illustrate our methods with a comprehensive simulation study.