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

===== Lecture =====
  * [[http://www.ictp-saifr.org/wp-content/uploads/2015/05/lecture_5_16.pdf|Handouts]]
  * [[http://200.145.112.249/webcast/20160108a|Video]]
===== Tutorial =====
Sample notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension:

[[http://nbviewer.ipython.org/github/diogro/ode_examples/blob/master/The%20Fisher-Kolmogorov%20equation.ipynb?create=1|The Fisher-Kolmogorov equation]], 
===== 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.
  * [[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]]

====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 link to relevant paper 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.]]
==== Wigner on unreasonable efectiveness of math ====
  * [[https://dtrinkle.matse.illinois.edu/_media/unreasonable-effectiveness-cpam1960.pdf|Original paper]]
  * [[http://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences|in Wikipedia]]
  * [[http://www.christopherxjjensen.com/wp-content/uploads/2010/06/Ginzburg-et-al-2007.pdf|Aiming the “unreasonable effectiveness of mathematics” at ecological theory]]. Giznburg //et al//. (2007).