Document details for 'Improving inference for nonlinear state-space models of animal population dynamics given biased sequential life stage data'

Authors Polansky, L., Newman, K. and Mitchell, L.
Publication details Biometrics 77, 352-361. Wiley.
Publisher details Wiley
Keywords Bayesian hierarchical models, data integration, delta smelt, Hypomesus transpacificus, parameter identifiability, San Francisco Estuary
Abstract State-space models (SSMs) are a popular tool for modeling animal abundances. Inference difficulties for simple linear SSMs are well known, particularly in relation to simultaneous estimation of process and observation variances. Several remedies to overcome estimation problems have been studied for relatively simple SSMs, but whether these challenges and proposed remedies apply for nonlinear stage-structured SSMs, an important class of ecological models, is less well understood. Here we identify improvements for inference about nonlinear stage-structured SSMs fit with biased sequential life stage data. Theoretical analyses indicate parameter identifiability requires covariates in the state processes. Simulation studies show that plugging in externally estimated observation variances, as opposed to jointly estimating them with other parameters, reduces bias and standard error of estimates. In contrast to previous results for simple linear SSMs, strong confounding between jointly estimated process and observation variance parameters was not found in themodels explored here. However, when observation variance was also estimated in the motivating case study, the resulting process variance estimates were implausibly low (near-zero). As SSMs are used in increasingly complex ways, understanding when inference can be expected to be successful, and what aids it, becomes more important. Our study illustrates (a) the need for relevant process covariates and (b) the benefits of using externally estimated observation variances for inference about nonlinear stage-structured SSMs.
Last updated 2021-04-08
Links
  1. Link to paper on Wiley Publishing web site
    http://dx.doi.org/10.1111/biom.13267

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