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2016:courses:kraenkel:spatial_ecology [2016/01/07 21:15] – [Handouts] prado2016:courses:kraenkel:spatial_ecology [2024/01/09 18:45] (current) – external edit 127.0.0.1
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 ===== Lecture ===== ===== 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 ===== ===== Tutorial =====
 Sample notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension: Sample notebook on integrating numerically the Fisher-Kolmogorov equation in 1 dimension:
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   * A. Okubo & S.A. Levin: Diffusion and Ecological Problems (Springer, 2001).   * A. Okubo & S.A. Levin: Diffusion and Ecological Problems (Springer, 2001).
   * P. Turchin: Quantitative Analysis of Movement (Sinauer, 1998)   * 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==== ====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.   * [[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 ==== ==== Wigner on unreasonable efectiveness of math ====
   * [[https://dtrinkle.matse.illinois.edu/_media/unreasonable-effectiveness-cpam1960.pdf|Original paper]]   * [[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://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).   * [[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).
2016/courses/kraenkel/spatial_ecology.1452201342.txt.gz · Last modified: 2024/01/09 18:45 (external edit)