Revisiting the Effect of Capture Heterogeneity on Survival Estimates in Capture-Mark-Recapture Studies: Does It Matter?

Recently developed capture-mark-recapture methods allow us to account for capture heterogeneity among individuals in the form of discrete mixtures and continuous individual random effects. In this article, we used simulations and two case studies to evaluate the effectiveness of continuously distributed individual random effects at removing potential bias due to capture heterogeneity, and to evaluate in what situation the added complexity of these models is justified. Simulations and case studies showed that ignoring individual capture heterogeneity generally led to a small negative bias in survival estimates and that individual random effects effectively removed this bias. As expected, accounting for capture heterogeneity also led to slightly less precise survival estimates. Our case studies also showed that accounting for capture heterogeneity increased in importance towards the end of study. Though ignoring capture heterogeneity led to a small bias in survival estimates, such bias may greatly impact management decisions. We advocate reducing potential heterogeneity at the sampling design stage. Where this is insufficient, we recommend modelling individual capture heterogeneity in situations such as when a large proportion of the individuals has a low detection probability (e.g. in the presence of floaters) and situations where the most recent survival estimates are of great interest (e.g. in applied conservation).

[1]  Sophie Smout,et al.  Estimating demographic parameters for capture–recapture data in the presence of multiple mark types , 2011, Environmental and Ecological Statistics.

[2]  Klages,et al.  FLIPPER BANDS ON PENGUINS : WIIY NEWER IS NOT ALWAYS BETTER , 2022 .

[3]  O Gimenez,et al.  Individual heterogeneity in studies on marked animals using numerical integration: capture-recapture mixed models. , 2010, Ecology.

[4]  Andrew Gelman,et al.  General methods for monitoring convergence of iterative simulations , 1998 .

[5]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[6]  C. M. Lessells,et al.  The Evolution of Life Histories , 1994 .

[7]  R. Cormack Estimates of survival from the sighting of marked animals , 1964 .

[8]  Carl J. Schwarz,et al.  Modelling heterogeneity of survival in band-recovery data using mixtures , 2002 .

[9]  Thomas Lenormand,et al.  NONPARAMETRIC ESTIMATION OF NATURAL SELECTION ON A QUANTITATIVE TRAIT USING MARK‐RECAPTURE DATA , 2006, Evolution; international journal of organic evolution.

[10]  David R. Anderson,et al.  Modeling Survival and Testing Biological Hypotheses Using Marked Animals: A Unified Approach with Case Studies , 1992 .

[11]  Res Altwegg,et al.  Sex-dependent selection on an autosomal melanic female ornament promotes the evolution of sex ratio bias. , 2010, Ecology letters.

[12]  Roger Pradel,et al.  Is heterogeneity of catchability in capture–recapture studies a mere sampling artifact or a biologically relevant feature of the population? , 2008, Population Ecology.

[13]  G. Seber A NOTE ON THE MULTIPLE-RECAPTURE CENSUS. , 1965, Biometrika.

[14]  Olivier Gimenez,et al.  State-space modelling of data on marked individuals , 2007 .

[15]  J Andrew Royle,et al.  Web-based Supplementary Materials for “ Modeling Individual Effects in the Cormack-Jolly-Seber Model : A State-space Formulation ” , 2010 .

[16]  S A White,et al.  Survival Rates of Tropical and Temperate Passerines: A Trinidadian Perspective , 1997, The American Naturalist.

[17]  OLIVIER DEVINEAU,et al.  Planning Capture–Recapture Studies: Straightforward Precision, Bias, and Power Calculations , 2006 .

[18]  William F. Morris,et al.  Quantitative conservation biology , 2002 .

[19]  Andrew Gelman,et al.  R2WinBUGS: A Package for Running WinBUGS from R , 2005 .

[20]  B. Sandercock Estimation of Demographic Parameters from Live-Encounter Data: a Summary Review , 2006 .

[21]  Roger Pradel,et al.  The Risk of Flawed Inference in Evolutionary Studies When Detectability Is Less than One , 2008, The American Naturalist.

[22]  J. Dupuis Bayesian estimation of movement and survival probabilities from capture-recapture data , 1995 .

[23]  Kenneth H. Pollock,et al.  Design and Analysis Methods for Fish Survival Experiments Based on Release-Recapture. , 1988 .

[24]  Michael Schaub,et al.  Bayesian Population Analysis using WinBUGS: A Hierarchical Perspective , 2011 .

[25]  K. Burnham,et al.  Program MARK: survival estimation from populations of marked animals , 1999 .

[26]  Shirley Pledger,et al.  CORRECTION OF BIAS DUE TO HETEROGENEOUS CAPTURE PROBABILITY IN CAPTURE-RECAPTURE STUDIES OF OPEN POPULATIONS , 1998 .

[27]  André Botha,et al.  A review of colour-marking techniques used on vultures in southern Africa , 2007 .

[28]  A. Carothers Quantifying Unequal Catchability and its Effect on Survival Estimates in an Actual Population , 1979 .

[29]  Roger Pradel,et al.  Importance of Accounting for Detection Heterogeneity When Estimating Abundance: the Case of French Wolves , 2010, Conservation biology : the journal of the Society for Conservation Biology.

[30]  Roger Pradel,et al.  Principles and interest of GOF tests for multistate capture-recapture models , 2005, Animal Biodiversity and Conservation.

[31]  Roger Pradel,et al.  U‐CARE: Utilities for performing goodness of fit tests and manipulating CApture–REcapture data , 2009 .

[32]  Les G. Underhill,et al.  Collapse of South Africa's penguins in the early 21st century , 2011 .

[33]  Roger Pradel,et al.  Multievent: An Extension of Multistate Capture–Recapture Models to Uncertain States , 2005, Biometrics.

[34]  Ara Monadjem,et al.  Survival of the African white‐backed vulture Gyps africanus in north‐eastern South Africa , 2013 .

[35]  Lucile Marescot,et al.  Bias in estimation of adult survival and asymptotic population growth rate caused by undetected capture heterogeneity , 2012 .

[36]  Roger Pradel,et al.  Exploiting uncertain ecological fieldwork data with multi-event capture--recapture modelling: an example with bird sex assignment. , 2012, The Journal of animal ecology.

[37]  Olivier Gimenez,et al.  Frailty in state-space models: application to actuarial senescence in the Dipper. , 2011, Ecology.

[38]  Guillaume Péron,et al.  Studying dispersal at the landscape scale: efficient combination of population surveys and capture-recapture data. , 2010, Ecology.

[39]  M. Conroy,et al.  Analysis and Management of Animal Populations , 2002 .

[40]  Roger Pradel,et al.  CAPTURE-RECAPTURE SURVIVAL MODELS TAKING ACCOUNT OF TRANSIENTS , 1997 .

[41]  James S. Clark,et al.  HIERARCHICAL BAYES FOR STRUCTURED, VARIABLE POPULATIONS: FROM RECAPTURE DATA TO LIFE‐HISTORY PREDICTION , 2005 .

[42]  Thomas Lenormand,et al.  Estimating and Visualizing Fitness Surfaces Using Mark-Recapture Data , 2009, Evolution; international journal of organic evolution.

[43]  G. Jolly EXPLICIT ESTIMATES FROM CAPTURE-RECAPTURE DATA WITH BOTH DEATH AND IMMIGRATION-STOCHASTIC MODEL. , 1965, Biometrika.