IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0184101.html
   My bibliography  Save this article

Correcting for unequal catchability in sex ratio and population size estimates

Author

Listed:
  • Donald T McKnight
  • Day B Ligon

Abstract

Wildlife populations often exhibit unequal catchability between subgroups such as males and females. This heterogeneity of capture probabilities can bias both population size and sex ratio estimates. Several authors have suggested that this problem can be overcome by treating males and females as separate populations and calculating a population estimate for each of them. However, this suggestion has received little testing, and many researchers do not implement it. Therefore, we used two simulations to test the utility of this method. One simulated a closed population, while the other simulated an open population and used the robust design to calculate population sizes. We tested both simulations with multiple levels of heterogeneity, and we used a third simulation to test several methods for detecting heterogeneity of capture probabilities. We found that treating males and females as separate populations produced more accurate population and sex ratio estimates. The benefits of this method were particularly pronounced for sex ratio estimates. When males and females were included as a single population, the sex ratio estimates became inaccurate when even slight heterogeneity was present, but when males and females were treated separately, the estimates were accurate even when large biases were present. Nevertheless, treating males and females separately reduced precision, and this method may not be appropriate when capture and recapture rates are low. None of the methods for detecting heterogeneity were robust, and we do not recommend that researchers rely on them. Rather, we suggest separating populations by sex, age, or other subgroups whenever sample sizes permit.

Suggested Citation

  • Donald T McKnight & Day B Ligon, 2017. "Correcting for unequal catchability in sex ratio and population size estimates," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-13, August.
  • Handle: RePEc:plo:pone00:0184101
    DOI: 10.1371/journal.pone.0184101
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0184101
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0184101&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0184101?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Louis-Paul Rivest & Sophie Baillargeon, 2007. "Applications and Extensions of Chao's Moment Estimator for the Size of a Closed Population," Biometrics, The International Biometric Society, vol. 63(4), pages 999-1006, December.
    2. Baillargeon, Sophie & Rivest, Louis-Paul, 2007. "Rcapture: Loglinear Models for Capture-Recapture in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 19(i05).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farcomeni, Alessio & Dotto, Francesco, 2021. "A correction to make Chao estimator conservative when the number of sampling occasions is finite," Statistics & Probability Letters, Elsevier, vol. 176(C).
    2. Yauck, Mamadou & Rivest, Louis-Paul, 2019. "On the estimation of population sizes in capture–recapture experiments," Journal of Multivariate Analysis, Elsevier, vol. 173(C), pages 512-524.
    3. repec:jss:jstsof:19:i05 is not listed on IDEAS
    4. Neil Stewart & Christoph Ungemach & Adam J. L. Harris & Daniel M. Bartels & Ben R. Newell & Gabriele Paolacci & Jesse Chandler, 2015. "The average laboratory samples a population of 7,300 Amazon Mechanical Turk workers," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 10(5), pages 479-491, September.
    5. Olivier Binette & Rebecca C. Steorts, 2022. "On the reliability of multiple systems estimation for the quantification of modern slavery," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(2), pages 640-676, April.
    6. Louis-Paul Rivest & Sophie Baillargeon, 2007. "Applications and Extensions of Chao's Moment Estimator for the Size of a Closed Population," Biometrics, The International Biometric Society, vol. 63(4), pages 999-1006, December.
    7. repec:cup:judgdm:v:10:y:2015:i:5:p:479-491 is not listed on IDEAS
    8. Yee, Thomas W. & Stoklosa, Jakub & Huggins, Richard M., 2015. "The VGAM Package for Capture-Recapture Data Using the Conditional Likelihood," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 65(i05).
    9. Jolynn Pek & Hao Wu, 2015. "Profile Likelihood-Based Confidence Intervals and Regions for Structural Equation Models," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 1123-1145, December.
    10. Camille Le Roy & Camille Roux & Elisabeth Authier & Hugues Parrinello & Héloïse Bastide & Vincent Debat & Violaine Llaurens, 2021. "Convergent morphology and divergent phenology promote the coexistence of Morpho butterfly species," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    11. Rivest Louis-Paul, 2011. "A Lower Bound Model for Multiple Record Systems Estimation with Heterogeneous Catchability," The International Journal of Biostatistics, De Gruyter, vol. 7(1), pages 1-21, May.
    12. Rivest, Louis-Paul, 2021. "Limiting properties of an equiprobable sampling scheme for 0–1 matrices," Statistics & Probability Letters, Elsevier, vol. 172(C).
    13. Lum Kristian & Price Megan & Guberek Tamy & Ball Patrick, 2010. "Measuring Elusive Populations with Bayesian Model Averaging for Multiple Systems Estimation: A Case Study on Lethal Violations in Casanare, 1998-2007," Statistics, Politics and Policy, De Gruyter, vol. 1(1), pages 1-29, July.
    14. Chang Xuan Mao & Cuiying Yang & Yitong Yang & Wei Zhuang, 2017. "Estimating population sizes with the Rasch model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(3), pages 705-716, June.
    15. Neil Stewart & Christoph Ungemach & Adam J. L. Harris & Daniel M. Bartels & Ben R. Newell & Gabriele Paolacci & Jesse Chandler, "undated". "The Average Laboratory Samples a Population of 7,300 Amazon Mechanical Turk Workers," Mathematica Policy Research Reports f97b669c7b3e4c2ab95c9f805, Mathematica Policy Research.
    16. Daniel Manrique‐Vallier, 2016. "Bayesian population size estimation using Dirichlet process mixtures," Biometrics, The International Biometric Society, vol. 72(4), pages 1246-1254, December.
    17. Serena Scala & Francesca Ferrua & Luca Basso-Ricci & Francesca Dionisio & Maryam Omrani & Pamela Quaranta & Raisa Jofra Hernandez & Luca Del Core & Fabrizio Benedicenti & Ilaria Monti & Stefania Giann, 2023. "Hematopoietic reconstitution dynamics of mobilized- and bone marrow-derived human hematopoietic stem cells after gene therapy," Nature Communications, Nature, vol. 14(1), pages 1-18, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0184101. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.