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Estimating animal densities and home range in regions with irregular boundaries and holes: A lattice-based alternative to the kernel density estimator

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  • Barry, Ronald P.
  • McIntyre, Julie

Abstract

Density estimates based on point processes are often restrained to regions with irregular boundaries or holes. We propose a density estimator, the lattice-based density estimator, which produces reasonable density estimates under these circumstances. The estimation process starts with overlaying the region with nodes, linking these together in a lattice and then computing the density of random walks of length k on the lattice. We use an approximation to the unbiased crossvalidation criterion to find the optimal walk length k. The technique is illustrated using walleye (Sander vitreus) radiotelemetry relocations in Lake Monroe, Indiana. We also use simulation to compare the technique to the traditional kernel density estimate in the situation where there are no significant boundary effects.

Suggested Citation

  • Barry, Ronald P. & McIntyre, Julie, 2011. "Estimating animal densities and home range in regions with irregular boundaries and holes: A lattice-based alternative to the kernel density estimator," Ecological Modelling, Elsevier, vol. 222(10), pages 1666-1672.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:10:p:1666-1672
    DOI: 10.1016/j.ecolmodel.2011.02.016
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    References listed on IDEAS

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    1. Chen, Song Xi, 1999. "Beta kernel estimators for density functions," Computational Statistics & Data Analysis, Elsevier, vol. 31(2), pages 131-145, August.
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    Cited by:

    1. Xuesong Zhang & Ju He & Zhen Deng & Jiyue Ma & Guangping Chen & Maomao Zhang & Deshou Li, 2018. "Comparative Changes of Influence Factors of Rural Residential Area Based on Spatial Econometric Regression Model: A Case Study of Lishan Township, Hubei Province, China," Sustainability, MDPI, vol. 10(10), pages 1-14, September.
    2. Greg McSwiggan & Adrian Baddeley & Gopalan Nair, 2017. "Kernel Density Estimation on a Linear Network," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 44(2), pages 324-345, June.
    3. Barry, Ronald P. & McIntyre, Julie & Bernard, Jordan, 2024. "A geostatistical model based on random walks to krige regions with irregular boundaries and holes," Ecological Modelling, Elsevier, vol. 491(C).
    4. Downs, Joni A. & Heller, Justin H. & Loraamm, Rebecca & Stein, Dana Oppenheim & McDaniel, Cassandra & Onorato, Dave, 2012. "Accuracy of home range estimators for homogeneous and inhomogeneous point patterns," Ecological Modelling, Elsevier, vol. 225(C), pages 66-73.

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