Please feel free to email me about any of the below writings. Names in bold are members of my Research Group.

 

Book

 
  1. Lewis MA, Petrovskii SV, Potts JR. (2016) The mathematics behind biological invasions. Springer, Interdisciplinary Applied Maths Series 44.
 

Journal articles

 
  1. Bastille-Rousseau G, Murray DL, Schaefer JA, Lewis MA, Mahoney S, Potts JR. (2017) Spatial scales of habitat selection decisions: implications for telemetry-based movement modelling. Ecography 40:001–007, doi:10.1111/ecog.02655
  2. Potts JR, Petrovskii SV. (2017) Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations. J Theor Biol 420:190–199, doi:10.1016/j.jtbi.2017.03.011
  3. Wang Y, Potts JR. (2017) Partial differential equation techniques for analysing animal movement: a comparison of different methods. J Theor Biol 416:52-67, doi:10.1016/j.jtbi.2017.01.002
  4. Merkle JA, Potts JR, Fortin D. (2017) Energy benefits and emergent space use patterns of an empirically parameterized model of memory-based patch selection. Oikos 126:185-196, doi:10.1111/oik.03356
  5. Bastille-Rousseau G, Potts JR, Yackulic C, Frair J, Ellington EH, Gibbs J, Blake S. (2016) Flexible characterization of animal movement pattern using net squared displacement and a latent state model. Move Ecol 4:15, doi:10.1186/s40462-016-0080-y
  6. Potts JR, Lewis MA. (2016) How memory of direct animal interactions can lead to territorial pattern formation. J Roy Soc Interface 13:20160059, doi:10.1098/rsif.2016.0059 (preprint)
  7. Demars CA, Breed GA, Potts JR, Boutin S. (2016) Spatial patterning of prey at reproduction to reduce predation risk: what drives dispersion from groups? Am Nat 187:678-687, doi:10.1086/685856
  8. Potts JR, Lewis MA. (2016) Territorial pattern formation in the absence of an attractive potential. J Math Biol 72:25-46, doi:10.1007/s00285-015-0881-4 (preprint)
  9. Avgar T, Potts JR, Boyce MS, Lewis MA. (2016) Integrated step selection analysis: bridging the gap between resource selection and animal movement. Methods Ecol Evol 7:619-630, doi:10.1111/2041-210X.12528
  10. Potts JR, Hillen T, Lewis MA. (2016) The `edge effect' phenomenon: deriving population abundance patterns from individual movement decisions. Theor Ecol 9:233-247, doi:10.1007/s12080-015-0283-7
  11. Bastille-Rousseau G, Potts JR, Schaefer JA, Lewis MA, Ellington H, Rayl ND, Mahoney SP, Murray DL. (2015) Unveiling tradeoffs in resource selection of migratory caribou using a mechanistic movement model of availability. Ecography 38:1049–1059, doi:10.1111/ecog.01305
  12. 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. Ecol Evol 4:4578–4588, doi:10.1002/ece3.1306
  13. Potts JR, Auger-Méthé M, Mokross K, Lewis MA. (2014) A generalized residual technique for analyzing complex movement models using earth mover's distance. Methods Ecol Evol 5:1012-1022 (preprint)
  14. Potts JR, Lewis MA. (2014) A mathematical approach to territorial pattern formation. Am Math Mon 121(9):754-770
  15. Potts JR, Mokross K, Lewis MA. (2014) A unifying framework for quantifying the nature of animal interactions. J Roy Soc Interface 11:20140333 (preprint)
  16. Potts JR, Lewis MA. (2014) How do animal territories form and change? Lessons from 20 years of mechanistic modelling. Proc Roy Soc B 281:20140231
  17. 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 Ecol Evol 5:253–262.
  18. Giuggioli L, Potts JR, Rubenstein DI, Levin SA. (2013) Stigmergy, collective actions and social spacing. Proc Nat Acad Sci 110(42):16904-9 Access the recommendation on F1000Prime
  19. Potts JR, Harris S, Giuggioli L. (2013) Quantifying behavioural changes in territorial animals caused by sudden population declines. Am Nat 182:E73-E82 Access the recommendation on F1000Prime
  20. Potts JR, Harris S, Giuggioli L. (2012) Territorial dynamics and stable home range formation for central place foragers. PLoS One 7(3):e0034033
  21. Giuggioli L, Potts JR, Harris S. (2012) Predicting oscillatory dynamics in the movement of territorial animals. J Roy Soc Interface 9:1529-1543
  22. Potts JR, Harris S, Giuggioli L. (2011) An anti-symmetric exclusion process for two particles on an infinite 1D lattice. J Phys A: Math Theor 44:485003
  23. Giuggioli L, Potts JR, Harris S. (2011) Brownian walkers within subdiffusing territorial boundaries. Phys Rev E 83:061138
  24. Giuggioli L, Potts JR, Harris S. (2011) Animal interactions and the emergence of territoriality. PLoS Comput Biol 7(3):e1002008
 

Theses

 
  1. Potts JR. (2012) A complex systems approach to the emergence of animal territoriality. PhD, Bristol University.
  2. Potts JR. (2006) Algebraic structures on singular (co)chains. PhD, Warwick University.