Statistical inference for home range overlap

1College of Information and Computer Sciences, University of Massachusetts Amherst, Amherst, Massachusetts; 2Smithsonian Conservation Biology Institute, National Zoological Park, Front Royal, Virginia; 3Department of Biology, University of Maryland, College Park, Maryland; 4Wildlife Conservation Society, Mongolia Program, Ulaanbaatar, Mongolia; 5Senckenberg Biodiversity and Climate Research Centre, Senckenberg Gesellschaft für Naturforschung, Frankfurt (Main), Germany; 6Department of Biological Sciences, Goethe University, Frankfurt (Main), Germany and 7Department of Computer Science, Mount Holyoke College, South Hadley, Massachusetts

[1]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[2]  Tina W. Wey,et al.  Social network analysis of animal behaviour: a promising tool for the study of sociality , 2008, Animal Behaviour.

[3]  C. O. Mohr,et al.  Table of equivalent populations of North American small mammals , 1947 .

[4]  Wayne M Getz,et al.  Home range plus: a space-time characterization of movement over real landscapes , 2013, Movement ecology.

[5]  John R Fieberg,et al.  Could you please phrase “home range” as a question? , 2012 .

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

[7]  B. Hudgens,et al.  Interactions between density, home range behaviors, and contact rates in the Channel Island fox (Urocyon littoralis) , 2015, Ecology and evolution.

[8]  F. D. Garber,et al.  The Quality of Training Sample Estimates of the Bhattacharyya Coefficient , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  A. Bhattacharyya On a measure of divergence between two statistical populations defined by their probability distributions , 1943 .

[10]  K. Safi,et al.  Similarity in spatial utilization distributions measured by the earth mover's distance , 2017 .

[11]  S. L. Lima,et al.  Predator-prey shell games: large-scale movement and its implications for decision-making by prey , 2002 .

[12]  G. Orians,et al.  Spacing Patterns in Mobile Animals , 1970 .

[13]  R. Powell Mustelid Spacing Patterns: Variations on a Theme by Mustela , 1979 .

[14]  W. H. Burt Territoriality and Home Range Concepts as Applied to Mammals , 1943 .

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

[16]  The Concept of Asymptotic Efficiency , 1988 .

[17]  Y. Pawitan In all likelihood : statistical modelling and inference using likelihood , 2002 .

[18]  Christen H. Fleming,et al.  A new kernel density estimator for accurate home‐range and species‐range area estimation , 2017 .

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

[20]  F. E. Satterthwaite An approximate distribution of estimates of variance components. , 1946, Biometrics.

[21]  R. Kays,et al.  Terrestrial animal tracking as an eye on life and planet , 2015, Science.

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

[23]  J. Mann,et al.  Home range overlap, matrilineal and biparental kinship drive female associations in bottlenose dolphins , 2010, Animal Behaviour.

[24]  Walter Jetz,et al.  The Scaling of Animal Space Use , 2004, Science.

[25]  G. Uhlenbeck,et al.  On the Theory of the Brownian Motion , 1930 .

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

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

[28]  Eric R. Dougherty,et al.  Going through the motions: incorporating movement analyses into disease research , 2018, bioRxiv.

[29]  K. Berger,et al.  Does interference competition with wolves limit the distribution and abundance of coyotes? , 2007, The Journal of animal ecology.

[30]  Henry F. Inman,et al.  The overlapping coefficient as a measure of agreement between probability distributions and point estimation of the overlap of two normal densities , 1989 .

[31]  T Mueller,et al.  Correcting for missing and irregular data in home-range estimation. , 2018, Ecological applications : a publication of the Ecological Society of America.

[32]  R. Mazo On the theory of brownian motion , 1973 .

[33]  Joshua J. Millspaugh,et al.  Comparability of three analytical techniques to assess joint space use , 2004 .

[34]  Francesca Cagnacci,et al.  Resolving issues of imprecise and habitat-biased locations in ecological analyses using GPS telemetry data , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[35]  C. Chapman,et al.  Defended versus undefended home range size of carnivores, ungulates and primates , 1992, Behavioral Ecology and Sociobiology.

[36]  Stephen M. Krone,et al.  Analyzing animal movements using Brownian bridges. , 2007, Ecology.

[37]  Reprint of: Mahalanobis, P.C. (1936) "On the Generalised Distance in Statistics." , 2018, Sankhya A.

[38]  T. Clutton‐Brock,et al.  The Evolution of Social Monogamy in Mammals , 2013, Science.

[39]  B. Reiser,et al.  Confidence Intervals for the Overlapping Coefficient: the Normal Equal Variance Case , 1999 .

[40]  Satterthwaite Fe An approximate distribution of estimates of variance components. , 1946 .

[41]  Bruce D. Spencer,et al.  The Delta Method , 1980 .

[42]  Yiğit Subaşı,et al.  Maximum-entropy description of animal movement. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  R. Powell,et al.  Foraging optimally for home ranges , 2012 .

[44]  J. Wishart THE GENERALISED PRODUCT MOMENT DISTRIBUTION IN SAMPLES FROM A NORMAL MULTIVARIATE POPULATION , 1928 .

[45]  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.