Dr Jonathan Potts

All publications

Books

• Lewis MA, Petrovskii SV & Potts JR (2016) The Mathematics Behind Biological Invasions. Springer.

Journal articles

• Potts JR & Börger L (2022) How to scale up from animal movement decisions to spatio‐temporal patterns: an approach via step selection. Journal of Animal Ecology.
• Giunta V, Hillen T, Lewis MA & Potts JR (2022) Detecting minimum energy states and multi-stability in nonlocal advection–diffusion models for interacting species. Journal of Mathematical Biology, 85(5).
• Wilson RP, Reynolds SD, Potts JR, Redcliffe J, Holton M, Buxton A, Rose K & Norman BM (2022) Highlighting when animals expend excessive energy for travel using dynamic body acceleration. iScience, 25(9).
• Potts JR, Börger L, Strickland BK & Street GM (2022) Assessing the predictive power of step selection functions: how social and environmental interactions affect animal space use. Methods in Ecology and Evolution.
• Potts JR, Giunta V & Lewis MA (2022) Beyond resource selection : emergent spatio–temporal distributions from animal movements and stigmergent interactions. Oikos.
• Klappstein NJ, Potts JR, Michelot T, Börger L, Pilfold NW, Lewis MA & Derocher AE (2022) Energy‐based step selection analysis : modelling the energetic drivers of animal movement and habitat use. Journal of Animal Ecology.
• Patrick SC, Réale D, Potts JR, Wilson AJ, Doutrelant C, Teplitsky C & Charmantier A (2022) Differences in the temporal scale of reproductive investment across the slow‐fast continuum in a passerine. Ecology Letters.
• Street GM, Potts JR, Börger L, Beasley JC, Demarais S, Fryxell JM, McLoughlin PD, Monteith KL, Prokopenko CM, Ribeiro MC , Rodgers AR et al (2021) Solving the sample size problem for resource selection functions. Methods in Ecology and Evolution.
• Jeffries PM, Patrick SC & Potts JR (2021) Be different to be better: the effect of personality on optimal foraging with incomplete knowledge. Theoretical Ecology.
• Munden R, Börger L, Wilson RP, Redcliffe J, Brown R, Garel M & Potts JR (2021) Why did the animal turn? Time‐varying step selection analysis for inference between observed turning‐points in high frequency data. Methods in Ecology and Evolution.
• Ellison N, Hatchwell B, Biddiscombe S, Napper C & Potts J (2020) Mechanistic home range analysis reveals drivers of space use patterns for a non-territorial passerine. Journal of Animal Ecology. View this article in WRRO
• Potts JR & Schlägel UE (2020) Parametrising diffusion‐taxis equations from animal movement trajectories using step selection analysis. Methods in Ecology and Evolution. View this article in WRRO
• Wilson R, Williams H, Holton M, di Virgilio A, Börger L, Potts J, Gunner R, Arkwright A, Fahlman A, Bennett N , Alagaili A et al (2020) An “orientation sphere” visualization for examining animal head movements. Ecology and Evolution. View this article in WRRO
• Williams HJ, Taylor LA, Benhamou S, Bijleveld AI, Clay TA, de Grissac S, Demšar U, English HM, Franconi N, Gómez-Laich A , Griffiths RC et al (2019) Optimising the use of bio-loggers for movement ecology research. Journal of Animal Ecology. View this article in WRRO
• Potts JR (2019) Directionally correlated movement can drive qualitative changes in emergent population distribution patterns. Mathematics, 7(7). View this article in WRRO
• Wang Y, Blackwell PG, Merkle JA & Potts JR (2019) Continuous time resource selection analysis for moving animals. Methods in Ecology and Evolution. View this article in WRRO
• Potts JR & Lewis MA (2019) Spatial memory and taxis-driven pattern formation in model ecosystems. Bulletin of Mathematical Biology, 1-23. View this article in WRRO
• Munden R, Borger L, Wilson R, Redcliffe J, Loison A, Garel M & Potts J (2018) Making sense of ultrahigh‐resolution movement data: A new algorithm for inferring sites of interest. Ecology and Evolution. View this article in WRRO
• Potts J, Fagan WF & Mourão G (2018) Deciding when to intrude on a neighbour: quantifying behavioural mechanisms for temporary territory expansion. Theoretical Ecology. View this article in WRRO
• Potts J, Borger L, Scantlebury DM, Bennett N, Alagaili A & Wilson R (2018) Finding turning‐points in ultra‐high‐resolution animal movement data. Methods in Ecology and Evolution, 9(10), 2091-2101. View this article in WRRO
• Mokross K, Potts J, Rutt C & Stouffer P (2018) What can mixed-species flock movement tell us about the value of Amazonian secondary forests? Insights from spatial behavior. Biotropica. View this article in WRRO
• Bastille-Rousseau G, Murray DL, Schaefer JA, Lewis MA, Mahoney S & Potts J (2017) Spatial scales of habitat selection decisions: implications for telemetry-based movement modelling. Ecography. View this article in WRRO
• Potts J & Petrovskii SV (2017) Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations. Journal of Theoretical Biology, 420, 190-199. View this article in WRRO
• Merkle JA, Potts J & Fortin D (2017) Energy benefits and emergent space use patterns of an empirically parameterized model of memory-based patch selection. Oikos, 126(2), 185-196. View this article in WRRO
• Wang YS & Potts JR (2017) Partial differential equation techniques for analysing animal movement: a comparison of different methods. Journal of Theoretical Biology. View this article in WRRO
• Bastille-Rousseau G, Potts JR, Yackulic CB, Frair JL, Ellington EH & Blake S (2016) Flexible characterization of animal movement pattern using net squared displacement and a latent state model. Movement Ecology, 4(1). View this article in WRRO
• Avgar T, Potts JR, Lewis MA & Boyce MS (2016) Integrated step selection analysis: bridging the gap between resource selection and animal movement. Methods in Ecology and Evolution, 7(5), 619-630. View this article in WRRO
• Potts J & Lewis MA (2016) How memory of direct animal interactions can lead to territorial pattern formation. Journal of the Royal Society Interface, 13(118). View this article in WRRO
• Demars CA, Breed GA, Potts J & Boutin S (2016) Spatial patterning of prey at reproduction to reduce predation risk: what drives dispersion from groups?. American Naturalist(187). View this article in WRRO
• Potts JR & Lewis MA (2016) Territorial pattern formation in the absence of an attractive potential. Journal of Mathematical Biology, 72(1-2), 25-46. View this article in WRRO
• Potts JR, Hillen T & Lewis MA (2016) The “edge effect” phenomenon: deriving population abundance patterns from individual animal movement decisions. Theoretical Ecology, 9(2), 233-247. View this article in WRRO
• Bastille-Rousseau G, Potts JR, Schaefer JA, Lewis MA, Ellington EH, Rayl ND, Mahoney SP & Murray DL (2015) Unveiling trade-offs in resource selection of migratory caribou using a mechanistic movement model of availability. Ecography, 38(10), 1049-1059. View this article in WRRO
• Potts JR, Mokross K, Stouffer PC & Lewis MA (2014) Step selection techniques uncover the environmental predictors of space use patterns in flocks of Amazonian birds. Ecology and Evolution, 4(24), 4578-4588. View this article in WRRO
• Potts JR & Lewis MA (2014) A Mathematical Approach to Territorial Pattern Formation. The American Mathematical Monthly, 121(9), 754-770. View this article in WRRO
• Potts JR, Mokross K & Lewis MA (2014) A unifying framework for quantifying the nature of animal interactions. Journal of The Royal Society Interface, 11(96). View this article in WRRO
• Potts JR & Lewis MA (2014) How do animal territories form and change? Lessons from 20 years of mechanistic modelling. Proceedings of the Royal Society B: Biological Sciences, 281(1784), 20140231-20140231. View this article in WRRO
• Potts JR, Bastille-Rousseau G, Murray DL, Schaefer JA & Lewis MA (2014) Predicting local and non-local effects of resources on animal space use using a mechanistic step selection model. Methods in Ecology and Evolution, 5(3), 253-262. View this article in WRRO
• Potts JR, Auger-Méthé M, Mokross K & Lewis MA (2014) A generalized residual technique for analysing complex movement models using earth mover's distance. Methods in Ecology and Evolution, 5(10), 1012-1022. View this article in WRRO
• Giuggioli L, Potts JR, Rubenstein DI & Levin SA (2013) Stigmergy, collective actions, and animal social spacing. Proceedings of the National Academy of Sciences, 110(42), 16904-16909.
• Potts JR, Harris S & Giuggioli L (2013) Quantifying Behavioral Changes in Territorial Animals Caused by Sudden Population Declines. The American Naturalist, 182(3), E73-E82.
• Potts J, Giuggioli L & Harris S (2013) Quantifying behavioral changes in territorial animals caused by sudden population declines. The American Naturalist, 3(182), E73-E82. View this article in WRRO
• Giuggioli L, Potts JR & Harris S (2012) Predicting oscillatory dynamics in the movement of territorial animals. Journal of The Royal Society Interface, 9(72), 1529-1543.
• Potts JR, Harris S & Giuggioli L (2011) An anti-symmetric exclusion process for two particles on an infinite 1D lattice. Journal of Physics A: Mathematical and Theoretical, 44(48), 485003-485003.
• Giunta V, Potts J, Lewis M & Hillen T () Local and Global Existence for Non-local Multi-Species Advection-Diffusion Models. SIAM Journal on Applied Dynamical Systems.
• Potts JR, Harris S & Giuggioli L () Territorial Dynamics and Stable Home Range Formation for Central Place Foragers. PLoS ONE, 7(3), e34033-e34033.
• Giuggioli L, Potts JR & Harris S () Brownian walkers within subdiffusing territorial boundaries. Physical Review E, 83(6).
• Giuggioli L, Potts JR & Harris S () Animal Interactions and the Emergence of Territoriality. PLoS Computational Biology, 7(3), e1002008-e1002008.
• Potts J & Painter K () Stable steady-state solutions of some biological aggregation models. SIAM Journal on Applied Mathematics.

Chapters

• Lewis MA, Petrovskii SV & Potts JR (2016) Stochastic Spread, Interdisciplinary Applied Mathematics (pp. 233-256). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Dynamics of Biological Invasions, Interdisciplinary Applied Mathematics (pp. 19-68). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Reaction–Diffusion Models: Single Species, Interdisciplinary Applied Mathematics (pp. 69-105). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Invasion in a Multispecies System, Interdisciplinary Applied Mathematics (pp. 107-154). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Assessing Invasion Risk, Interdisciplinary Applied Mathematics (pp. 257-285). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) A User’s Guide to Integrodifference Models for Invasive Spread, Interdisciplinary Applied Mathematics (pp. 195-209). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Introduction, Interdisciplinary Applied Mathematics (pp. 1-18). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Responding to Invasions: Detection, Control, and Adaptation, Interdisciplinary Applied Mathematics (pp. 287-305). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Long-Distance Dispersal and Spread, Interdisciplinary Applied Mathematics (pp. 155-193). Springer International Publishing
• Lewis MA, Petrovskii SV & Potts JR (2016) Stochasticity and Invasion Dynamics, Interdisciplinary Applied Mathematics (pp. 211-232). Springer International Publishing

Datasets

• Munden R, Potts J, Börger L, Wilson R, Garel M, redcliffe J & Brown R Data for 'Why did the animal turn? Time-varying step selection analysis for inference between observed turning points in high frequency data'.

Preprints

• Giunta V, Hillen T, Lewis MA & Potts JR (2021) Local and Global Existence for Non-local Multi-Species Advection-Diffusion Models.
• DeMars C, Breed GA, Potts J, Serrouya R & Boutin S (2016) Behaviourally-mediated interactions of landscape pattern shape predator-prey dynamics in highly altered landscapes, PeerJ Preprints.
• Potts JR & Börger L () How to scale up from animal movement decisions to spatio-temporal patterns: an approach via step selection, Cold Spring Harbor Laboratory.
• Street G, Potts J, Börger L, Beasley J, Demarais S, Fryxell J, McLoughlin P, Monteith K, Prokopenko C, Ribeiro M , Rodgers A et al () Solving the Sample Size Problem for Resource Selection Analysis, Authorea, Inc..
• Potts JR, Giunta V & Lewis MA () Beyond resource selection: emergent spatio-temporal distributions from animal movements and stigmergent interactions, Cold Spring Harbor Laboratory.
• Klappstein NJ, Potts J, Michelot T, Börger L, Pilfold N, Lewis M & Derocher A () Energy selection functions: modelling the energetic drivers of animal movement and habitat use, Authorea, Inc..
• Street GM, Potts JR, Börger L, Beasley JC, Demarais S, Fryxell JM, McLoughlin PD, Monteith KL, Prokopenko CM, Ribeiro MC , Rodgers AR et al () Solving the Sample Size Problem for Resource Selection Analysis, Cold Spring Harbor Laboratory.
• Klappstein NJ, Potts J, Michelot T, Börger L, Pilfold N, Lewis M & Derocher A () Energy selection functions: modelling the energetic drivers of animal movement and habitat use, Authorea, Inc..
• Potts JR & Schlägel UE () Parametrising diffusion-taxis equations from animal movement trajectories using step selection analysis, Cold Spring Harbor Laboratory.
• DeMars C, Breed GA, Potts J, Serrouya R & Boutin S () Behaviourally-mediated interactions of landscape pattern shape predator-prey dynamics in highly altered landscapes, PeerJ.