Photo by Bukaneg

Suppose x_n is a random variable. What does the following map describe? Shown below are a sample map and the corresponding log-log plot of the distance between successive points indicating that the distance between the nth and the (n+1)th points is inversely proportional to n.

Daghan ko natun-an sa Evolutionary Dynamics course nga akong giattendan kining semanaha: computing with R, unsa-on pagkuha sa invasion fitness ug phase invasibility plot gikan sa population dynamics, ug uban pa. Medyo daghan pa ang debate sa mathematical techniques ug interpretation sa ani nga field pero sa akong tan-aw kay ubay-ubay na pud ang nahimo nga pag-uswag diri. Para sa mga interesado makabalo, sunda lang kining links sa mga reading materials.

1. Presentation ni Dr. Tom van Dooren: http://tomvandooren.eu/manuscripts.html
2. Presentation ni Dr. Martijn Egas: http://home.medewerker.uva.nl/c.j.m.egas/page2.html

References

3. Dieckmann & Law (1996) The dynamical theory of coevolution: a derivation from stochastic ecological processes, Journal of Mathematical Biology 34:579-612
4. Dieckmann & Law (1999) On the origin of species by sympatric speciation, Nature 400:354-357
5. Doebeli & Dieckmann (2003) Speciation along environmental gradients, Nature 421:259-264
6. Geritz et al (1998) Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree, Evolutionary Ecology 12:35-57
7. Geritz et al (1999) Evolutionary dynamics of seed size and seedling competitive ability, Theoretical Population Biology 55:324-343
8. Hofbauer & Sigmund (1990) Adaptive dynamics and evolutionary stability 3:75-79
9. Janssen et al (1997) Predators use volatiles to avoid prey patches with conspecifics, Journal of Animal Ecology 66:223-232
10. Pels et al (2002) Evolutionary dynamics of prey exploitation in a metapopulation of predators, The American Naturalist 159:172-189
11. Rainey & Travisano (1998) Adaptive radiation in a heterogeneous environment, Nature 394:69-72
12. Temeles et al (2000) Evidence for ecological causation of sexual dimorphism in a hummingbird, Science 289:441-443
13. Van Dooren (1999) The evolutionary ecology of dominance-recessivity, Journal of Theoretical Biology 198:519-532
14. Waxman & Gavrilets (2005) 20 questions on adaptive dynamics, Journal of Evolutionary Biology 18:1139-1154
15. Yoshida et al (2003) Rapid evolution drives ecological dynamics in a predator-prey system, Nature 424:303-306