====== Spatial Ecology - additional resources ======

===== Lecture =====

Please check the  [[https://www.ictp-saifr.org/ix-southern-summer-school-on-mathematical-biology|ICTP-SAIRF website]]  for videos and handouts of the lectures.


===== Resources in the Web =====

  * [[http://nbviewer.ipython.org/github/diogro/ode_examples/blob/master/The%20Fisher-Kolmogorov%20equation.ipynb?create=1|Jupyter notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension]], 
  * [[https://ocw.mit.edu/resources/res-tll-004-stem-concept-videos-fall-2013/videos/probability-and-statistics/diffusion-and-ficks-law/|Diffusion and Fick's Law]], a nice introductory video from the [[https://ocw.mit.edu/resources/res-tll-004-stem-concept-videos-fall-2013|Stem concept videos]] from MIT and STUD.
  * [[https://ocw.mit.edu/courses/mathematics/18-366-random-walks-and-diffusion-fall-2006/index.htm|MIT course on random walks and diffusion]]

===== Read more =====

  * 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.
  * [[http://ecologia.ib.usp.br/ssmb/doku.php?id=2014:courses:ovaskainen:start|Spatial Ecology and Evolution]], course held at the [[http://www.ictp-saifr.org/?page_id=4634|III Southern Summer School on Mathematical Biology]]
  * [[http://ecologia.ib.usp.br/ssmb/doku.php?id=2017:courses:petrovskii:start|Mathematical theory of biological invasions]], course held at the [[http://www.ictp-saifr.org/?page_id=13370|VI Southern Summer School on Mathematical Biology]]

====Pattern formation by reaction-diffusion====

  * {{http://www.karlsims.com/rd.html|Reaction-diffusion tutorial}}: nice introduction with videos
  * {{http://mrob.com/pub/comp/xmorphia|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. 

====Cases====
  * [[http://link.springer.com/article/10.1016/j.bulm.2005.01.003|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. [[http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0066806|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. [[http://esa.org/theory/awards|"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//.