A new kernel density estimator for accurate home‐range and species‐range area estimation

Kernel density estimators are widely applied to area-related problems in ecology, from estimating the home range of an individual to estimating the geographic range of a species. Currently, area estimates are obtained indirectly, by first estimating the location distribution from tracking (home range) or survey (geographic range) data, and then estimating areas from that distribution. This indirect approach leads to biased area estimates and difficulty in deriving reasonable confidence intervals. We introduce a new kernel density estimator and associated confidence intervals focused specifically on area estimation that apply to both independently sampled survey data and autocorrelated tracking data. We test our methods against simulated movement data and demonstrate its use with African buffalo data. The area-corrected kernel density estimator produces much more accurate area estimates, particularly at small sample sizes, and the newly derived confidence intervals are more reliable than existing alternatives. This new method is the most efficient non-parametric home-range estimator for animal tracking data, and should also be considered when calculating non-parametric range estimates from survey data. This estimator is now the default method in the ctmm R package. This article is protected by copyright. All rights reserved.

[1]  Paul T. von Hippel,et al.  Mean, Median, and Skew: Correcting a Textbook Rule , 2005 .

[2]  Paul R Moorcroft,et al.  Mechanistic home range models capture spatial patterns and dynamics of coyote territories in Yellowstone , 2006, Proceedings of the Royal Society B: Biological Sciences.

[3]  Justin M. Calabrese,et al.  ctmm: an r package for analyzing animal relocation data as a continuous‐time stochastic process , 2016 .

[4]  Wayne M. Getz,et al.  Disease, predation and demography: Assessing the impacts of bovine tuberculosis on African buffalo by monitoring at individual and population levels , 2009 .

[5]  C H Fleming,et al.  Rigorous home range estimation with movement data: a new autocorrelated kernel density estimator. , 2015, Ecology.

[6]  J. Horowitz Chapter 52 The Bootstrap , 2001 .

[7]  John Fieberg,et al.  Does estimator choice influence our ability to detect changes in home-range size? , 2015, Animal Biotelemetry.

[8]  JOHN FIEBERG,et al.  QUANTIFYING HOME-RANGE OVERLAP: THE IMPORTANCE OF THE UTILIZATION DISTRIBUTION , 2005 .

[9]  D. Harville Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems , 1977 .

[10]  R. Powell,et al.  An Evaluation of the Accuracy of Kernel Density Estimators for Home Range Analysis , 1996 .

[11]  Lijian Yang,et al.  Kernel estimation of multivariate cumulative distribution function , 2008 .

[12]  A. Izenman Recent Developments in Nonparametric Density Estimation , 1991 .

[13]  Rolf A. Ims,et al.  Effects of spatiotemporal scale on autocorrelation and home range estimators , 1997 .

[14]  Erlend B. Nilsen,et al.  Can minimum convex polygon home ranges be used to draw biologically meaningful conclusions? , 2008, Ecological Research.

[15]  Wayne M. Getz,et al.  LoCoH: Nonparameteric Kernel Methods for Constructing Home Ranges and Utilization Distributions , 2007, PloS one.

[16]  Jane Hunter,et al.  An open Web-based system for the analysis and sharing of animal tracking data , 2015, Animal Biotelemetry.

[17]  B. Worton Using Monte Carlo simulation to evaluate kernel-based home range estimators , 1995 .

[18]  Norman A. Slade,et al.  Testing For Independence of Observations in Animal Movements , 1985 .

[19]  Peter Leimgruber,et al.  Non‐Markovian maximum likelihood estimation of autocorrelated movement processes , 2014 .

[20]  D. W. Scott,et al.  Variable Kernel Density Estimation , 1992 .

[21]  A. Izenman Review Papers: Recent Developments in Nonparametric Density Estimation , 1991 .

[22]  James E. Dunn,et al.  Analysis of Radio Telemetry Data in Studies of Home Range , 1977 .

[23]  B. Worton Kernel methods for estimating the utilization distribution in home-range studies , 1989 .

[24]  Sandro Lovari,et al.  Effects of sampling regime on the mean and variance of home range size estimates. , 2006, The Journal of animal ecology.

[25]  Peter Leimgruber,et al.  From Fine-Scale Foraging to Home Ranges: A Semivariance Approach to Identifying Movement Modes across Spatiotemporal Scales , 2014, The American Naturalist.