Spatial Ecology - additional resources

Please check the ICTP-SAIRF website for videos and handouts of the lectures.

• Jupyter notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension,
• Diffusion and Fick's Law, a nice introductory video from the Stem concept videos from MIT and STUD.
• MIT course on random walks and diffusion

• J.D. Murray: Mathematical Biology I & II (Springer, 2002)
• N.F. Britton: Essential Mathematical Biology ( Springer, 2003).
• R.S. Cantrell & C. Cosner: Spatial Ecology via Reaction-Diffusion Equations (Wiley, 2003).
• A. Okubo & S.A. Levin: Diffusion and Ecological Problems (Springer, 2001).
• P. Turchin: Quantitative Analysis of Movement (Sinauer, 1998)
• Skellam, J.G., 1951. Random dispersal in theoretical populations. Biometrika, 38: 196-218.
• Holmes, E.E., Lewis, M.A., Banks, J.E. and Veit, R.R., 1994. Partial differential equations in ecology: spatial interactions and population dynamics. Ecology, 75: 17-29.
• Spatial Ecology and Evolution, course held at the III Southern Summer School on Mathematical Biology
• Mathematical theory of biological invasions, course held at the VI Southern Summer School on Mathematical Biology

• Reaction-diffusion tutorial: nice introduction with videos
• Gray-Scott model: great site with codes, theory and results of a simple chemical reaction-diffusion that generates very complicated patterns. Also links to relevant papers on pattern generation by reaction-diffusion equations.

• Diffusion and home range parameters from rodent population measurements in Panama. Giuggioli et al. (2005). Bulletin of Mathematical Biology.
• Fonseca CR, Coutinho RM, Azevedo F, Berbert JM, Corso G, Kraenkel RA (2013) Modeling Habitat Split: Landscape and Life History Traits Determine Amphibian Extinction Thresholds. PLoS ONE 8(6): e66806.
• Law, R., Murrell, D. J., & Dieckmann, U. (2003). Population growth in space and time: spatial logistic equations. Ecology, 84(1), 252-262.
• Maciel, G.A. and Lutscher, F. (2013). How individual movement response to habitat edges affects population persistence and spatial spread. The American Naturalist, 182(1), pp.42-52. "Outstanding Ecological Theory Paper" awarded by the Ecological Society of America.
• Maciel, G. A., & Kraenkel, R. A. (2014). How population loss through habitat boundaries determines the dynamics of a predator–prey system. Ecological Complexity, 20, 33-42.
• Azevedo, F., Kraenkel, R. A., & da Silva, D. P. (2012). Competitive release and area effects. Ecological Complexity, 11, 154-159. Generalization of Skellam's critical pathc size model to two competing species.