title: Using imputation and mixture model approaches to integrate multi-state capture-recapture models with assignment information.
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.
authors.affiliation: Novartis, East Hanover, New Jersy, U.S.A.
authors.forename: Zhi
authors.initials: Z
authors.lastname: Wen
authors.forename: Kenneth H
authors.initials: KH
authors.lastname: Pollock
authors.forename: James D
authors.initials: JD
authors.lastname: Nichols
authors.forename: Peter M
authors.initials: PM
authors.lastname: Waser
authors.forename: Weihua
authors.initials: W
authors.lastname: Cao
mesh_terms: D000465:Algorithms; D025041:Animal Migration; D000818:Animals; D001699:Biometry / Q000379:methods; D003198:Computer Simulation; D004173:Dipodomys / Q000235:genetics / Q000502:physiology; D004463:Ecology / Q000706:statistics & numerical data; D017753:Ecosystem; D005260:Female; D016013:Likelihood Functions; D008297:Male; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics / Q000706:statistics & numerical data
keywords: Capture-recapture; Dispersal; Genetic assignment tests; Imputation approach; Kangaroo rat; Mixture model; Multi-state; Population assignment procedure; Robust-design; Semiparametric; Superpopulation