Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models

Landscape structure affects animal movement. Differences between landscapes may induce heterogeneity in home range size and movement rates among individuals within a population. These types of heterogeneity can cause bias when estimating population size or density and are seldom considered during an...

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Main Authors: Robby R. Marrotte, Eric J. Howe, Kaela B. Beauclerc, Derek Potter, Joseph M. Northrup
Format: Article
Language:English
Published: PeerJ Inc. 2022-06-01
Series:PeerJ
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Online Access:https://peerj.com/articles/13490.pdf
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author Robby R. Marrotte
Eric J. Howe
Kaela B. Beauclerc
Derek Potter
Joseph M. Northrup
author_facet Robby R. Marrotte
Eric J. Howe
Kaela B. Beauclerc
Derek Potter
Joseph M. Northrup
author_sort Robby R. Marrotte
collection DOAJ
description Landscape structure affects animal movement. Differences between landscapes may induce heterogeneity in home range size and movement rates among individuals within a population. These types of heterogeneity can cause bias when estimating population size or density and are seldom considered during analyses. Individual heterogeneity, attributable to unknown or unobserved covariates, is often modelled using latent mixture distributions, but these are demanding of data, and abundance estimates are sensitive to the parameters of the mixture distribution. A recent extension of spatially explicit capture-recapture models allows landscape structure to be modelled explicitly by incorporating landscape connectivity using non-Euclidean least-cost paths, improving inference, especially in highly structured (riparian & mountainous) landscapes. Our objective was to investigate whether these novel models could improve inference about black bear (Ursus americanus) density. We fit spatially explicit capture-recapture models with standard and complex structures to black bear data from 51 separate study areas. We found that non-Euclidean models were supported in over half of our study areas. Associated density estimates were higher and less precise than those from simple models and only slightly more precise than those from finite mixture models. Estimates were sensitive to the scale (pixel resolution) at which least-cost paths were calculated, but there was no consistent pattern across covariates or resolutions. Our results indicate that negative bias associated with ignoring heterogeneity is potentially severe. However, the most popular method for dealing with this heterogeneity (finite mixtures) yielded potentially unreliable point estimates of abundance that may not be comparable across surveys, even in data sets with 136–350 total detections, 3–5 detections per individual, 97–283 recaptures, and 80–254 spatial recaptures. In these same study areas with high sample sizes, we expected that landscape features would not severely constrain animal movements and modelling non-Euclidian distance would not consistently improve inference. Our results suggest caution in applying non-Euclidean SCR models when there is no clear landscape covariate that is known to strongly influence the movement of the focal species, and in applying finite mixture models except when abundant data are available.
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spelling doaj.art-f91ce135793f40e69e00a2d4edcbe3e62023-12-03T10:04:03ZengPeerJ Inc.PeerJ2167-83592022-06-0110e1349010.7717/peerj.13490Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture modelsRobby R. Marrotte0Eric J. Howe1Kaela B. Beauclerc2Derek Potter3Joseph M. Northrup4Wildlife Research & Monitoring Section, Ministry of Northern Development, Mines, Natural Resources and Forestry, Peterborough, Ontario, CanadaWildlife Research & Monitoring Section, Ministry of Northern Development, Mines, Natural Resources and Forestry, Peterborough, Ontario, CanadaWildlife Research & Monitoring Section, Ministry of Northern Development, Mines, Natural Resources and Forestry, Peterborough, Ontario, CanadaWildlife Research & Monitoring Section, Ministry of Northern Development, Mines, Natural Resources and Forestry, Peterborough, Ontario, CanadaWildlife Research & Monitoring Section, Ministry of Northern Development, Mines, Natural Resources and Forestry, Peterborough, Ontario, CanadaLandscape structure affects animal movement. Differences between landscapes may induce heterogeneity in home range size and movement rates among individuals within a population. These types of heterogeneity can cause bias when estimating population size or density and are seldom considered during analyses. Individual heterogeneity, attributable to unknown or unobserved covariates, is often modelled using latent mixture distributions, but these are demanding of data, and abundance estimates are sensitive to the parameters of the mixture distribution. A recent extension of spatially explicit capture-recapture models allows landscape structure to be modelled explicitly by incorporating landscape connectivity using non-Euclidean least-cost paths, improving inference, especially in highly structured (riparian & mountainous) landscapes. Our objective was to investigate whether these novel models could improve inference about black bear (Ursus americanus) density. We fit spatially explicit capture-recapture models with standard and complex structures to black bear data from 51 separate study areas. We found that non-Euclidean models were supported in over half of our study areas. Associated density estimates were higher and less precise than those from simple models and only slightly more precise than those from finite mixture models. Estimates were sensitive to the scale (pixel resolution) at which least-cost paths were calculated, but there was no consistent pattern across covariates or resolutions. Our results indicate that negative bias associated with ignoring heterogeneity is potentially severe. However, the most popular method for dealing with this heterogeneity (finite mixtures) yielded potentially unreliable point estimates of abundance that may not be comparable across surveys, even in data sets with 136–350 total detections, 3–5 detections per individual, 97–283 recaptures, and 80–254 spatial recaptures. In these same study areas with high sample sizes, we expected that landscape features would not severely constrain animal movements and modelling non-Euclidian distance would not consistently improve inference. Our results suggest caution in applying non-Euclidean SCR models when there is no clear landscape covariate that is known to strongly influence the movement of the focal species, and in applying finite mixture models except when abundant data are available.https://peerj.com/articles/13490.pdfBlack bearCapture-recaptureDetection heterogeneityLeast-cost pathMixture modelsNon-Euclidean
spellingShingle Robby R. Marrotte
Eric J. Howe
Kaela B. Beauclerc
Derek Potter
Joseph M. Northrup
Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
PeerJ
Black bear
Capture-recapture
Detection heterogeneity
Least-cost path
Mixture models
Non-Euclidean
title Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
title_full Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
title_fullStr Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
title_full_unstemmed Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
title_short Explaining detection heterogeneity with finite mixture and non-Euclidean movement in spatially explicit capture-recapture models
title_sort explaining detection heterogeneity with finite mixture and non euclidean movement in spatially explicit capture recapture models
topic Black bear
Capture-recapture
Detection heterogeneity
Least-cost path
Mixture models
Non-Euclidean
url https://peerj.com/articles/13490.pdf
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