Using imputation and mixture model approaches to integrate multi-state capture-recapture models with assignment information

Biometrics. 2014 Jun;70(2):323-34. doi: 10.1111/biom.12155. Epub 2014 Feb 25.

Abstract

In this article, we first extend the superpopulation capture-recapture model to multiple states (locations or populations) for two age groups., Wen et al., (2011; 2013) developed a new approach combining capture-recapture data with population assignment information to estimate the relative contributions of in situ births and immigrants to the growth of a single study population. Here, we first generalize Wen et al., (2011; 2013) approach to a system composed of multiple study populations (multi-state) with two age groups, where an imputation approach is employed to account for the uncertainty inherent in the population assignment information. Then we develop a different, individual-level mixture model approach to integrate the individual-level population assignment information with the capture-recapture data. Our simulation and real data analyses show that the fusion of population assignment information with capture-recapture data allows us to estimate the origination-specific recruitment of new animals to the system and the dispersal process between populations within the system. Compared to a standard capture-recapture model, our new models improve the estimation of demographic parameters, including survival probability, origination-specific entry probability, and especially the probability of movement between populations, yielding higher accuracy and precision.

Keywords: Capture-recapture; Dispersal; Genetic assignment tests; Imputation approach; Kangaroo rat; Mixture model; Multi-state; Population assignment procedure; Robust-design; Semiparametric; Superpopulation.

MeSH terms

  • Algorithms
  • Animal Migration*
  • Animals
  • Biometry / methods
  • Computer Simulation
  • Dipodomys / genetics
  • Dipodomys / physiology
  • Ecology / statistics & numerical data
  • Ecosystem
  • Female
  • Likelihood Functions
  • Male
  • Models, Biological*
  • Models, Statistical*
  • Population Dynamics / statistics & numerical data