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A Novel Hierarchical Multinomial Approach to Modeling Age-Specific Harvest Data

  • Khurram Nadeem
  • Entao Chen
  • Ying ZhangEmail author
Conference paper

Abstract

We develop a hierarchical Leslie matrix modeling framework to model age-specific harvest data for estimating age proportions of animal populations. As our methodology avoids expensive radiotelemetry studies, we argue through simulation and case studies that it provides a flexible modeling alternative to analysing age-specific harvest data for effective wildlife management.

Keywords

Leslie matrix White-tailed deer Harvest data Beta distribution Population reconstruction 

Notes

Acknowledgements

This research was funded by the Nova Scotia Habitat Conservation Fund and Mitacs Accelerate awards. We would like to thank Wildlife Division, Nova Scotia Department of Natural Resources, for providing us the data and support. We would also like to thank Hugh Chipman and Holger Teismann for their support and useful discussions and Anja Haltner for reviewing this paper.

We are also indebted to the editors for their effort of organizing the proceedings of the TIES-GRASPA 2017 conference and anonymous reviewer for the constructive comments which improved the presentation of the paper.

References

  1. 1.
    Bernardelli H (1977) Population waves. In: Mathematical demography. Springer, Berlin, pp 215–219CrossRefGoogle Scholar
  2. 2.
    Casella G, Berger RL (2002) Statistical inference, vol 2. Duxbury Pacific Grove, CAGoogle Scholar
  3. 3.
    Caswell H (2001) Matrix population models. Wiley Online LibraryGoogle Scholar
  4. 4.
    Chen E (2017) A Stochastic harvest Leslie matrix simulation model for evaluating wildlife population reconstruction methods using harvest data, Masters Thesis Acadia UniversityGoogle Scholar
  5. 5.
    Clawson MV, Skalski JR, Millspaugh JJ (2013) The utility of auxiliary data in statistical population reconstruction. Wildl Biol 19(2):147–155CrossRefGoogle Scholar
  6. 6.
    Downing RL (1980) Vital statistics of animal populations. Wildlife management techniques manual. Fourth edition. The Wildlife Society, Washington, DC, pp 247–267Google Scholar
  7. 7.
    Fryxell JM, Mercer WE, Gellately RB (1988) Population dynamics of newfoundland moose using cohort analysis. J Wildl Manag 52:14–21CrossRefGoogle Scholar
  8. 8.
    Gast C, Skalski JR, Beyer DE (2013) Evaluation of fixed-and random-effects models and multistage estimation procedures in statistical population reconstruction. J Wildl Manag 77(6):1258–1270CrossRefGoogle Scholar
  9. 9.
    Gove NE, Skalski JR, Zager P, Townsend RL (2002) Statistical models for population reconstruction using age-at-harvest data. J Wildl Manag 66:310–320CrossRefGoogle Scholar
  10. 10.
    Johnson NL, Kotz S, Balakrishnan N (1997) Discrete multivariate distributions, vol 165. Wiley, New YorkzbMATHGoogle Scholar
  11. 11.
    Leslie PH (1945) On the use of matrices in certain population mathematics. Biometrika 33(3):183–212MathSciNetCrossRefGoogle Scholar
  12. 12.
    Leslie PH (1948) Some further notes on the use of matrices in population mathematics. Biometrika 35(3/4):213–245MathSciNetCrossRefGoogle Scholar
  13. 13.
    Lynch HJ, Fagan WF (2009) Survivorship curves and their impact on the estimation of maximum population growth rates. Ecology 90(4):1116–1124CrossRefGoogle Scholar
  14. 14.
    Lynch HJ, Zeigler S, Wells L, Ballou JD, Fagan WF (2010) Survivorship patterns in captive mammalian populations: implications for estimating population growth rates. Ecol Appl 20(8):2334–2345CrossRefGoogle Scholar
  15. 15.
    Millspaugh JJ, Skalski JR, Townsend RL, Diefenbach DR, Boyce MS, Hansen LP, Kammermeyer K (2009) An evaluation of sex-age-kill (SAK) model performance. J Wildl Manag 73(3):442–451CrossRefGoogle Scholar
  16. 16.
    Quirynen M, Lamoral Y, Dekeyser C, Peene P, van Steenberghe D, Bonte J, Baert AL CT scan standard reconstruction technique for reliable jaw bone volume determination. Int J Oral Maxillofac Implants 5(4):384–389 (1989)Google Scholar
  17. 17.
    Roseberry JL, Woolf A (1991) A comparative evaluation of techniques for analyzing white-tailed deer harvest data. Wildl Monogr 117:3–59Google Scholar
  18. 18.
    Skalski JR, Townsend RL, Gilbert BA (2007) Calibrating statistical population reconstruction models using catch-effort and index data. J Wildl Manag 71(4):1309–1316CrossRefGoogle Scholar
  19. 19.
    Skalski JR, Ryding KE, Millspaugh J (2010) Wildlife demography: analysis of sex, age, and count data. Academic, New YorkGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Acadia UniversityWolfvilleCanada

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