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Smoothing Population Size Estimates for Time‐Stratified Mark–Recapture Experiments Using Bayesian P‐Splines
Author(s) -
Bonner Simon J.,
Schwarz Carl J.
Publication year - 2011
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2011.01599.x
Subject(s) - salmo , mark and recapture , statistics , bayesian probability , sample (material) , population , sample size determination , smoothing , population size , sampling (signal processing) , fish <actinopterygii> , mathematics , econometrics , computer science , fishery , biology , demography , filter (signal processing) , chromatography , chemistry , sociology , computer vision
Summary Petersen‐type mark–recapture experiments are often used to estimate the number of fish or other animals in a population moving along a set migration route. A first sample of individuals is captured at one location, marked, and returned to the population. A second sample is then captured farther along the route, and inferences are derived from the numbers of marked and unmarked fish found in this second sample. Data from such experiments are often stratified by time (day or week) to allow for possible changes in the capture probabilities, and previous methods of analysis fail to take advantage of the temporal relationships in the stratified data. We present a Bayesian, semiparametric method that explicitly models the expected number of fish in each stratum as a smooth function of time. Results from the analysis of historical data from the migration of young Atlantic salmon ( Salmo salar ) along the Conne River, Newfoundland, and from a simulation study indicate that the new method provides more precise estimates of the population size and more accurate estimates of uncertainty than the currently available methods.