Effect of Hawk-Dove Game on the Dynamics of Two Competing Species
Outcomes of interspecific competition, and especially the possibility of coexistence, have been extensively studied in theoretical ecology because of their implications in community assemblages. During the last decades, the influence of different time scales through the local/regional dynamics of animal communities has received an increasing attention. Nevertheless, different time scales involved in interspecific competition can result form other processes than spatial dynamics. Here, we envision and analyze a new theoretical framework that couples a game theory approach for competition with a demographic model. We take advantage of these two time scales to derive a reduced model governing the total densities of the two populations and we study how these two time scales interfere and influence outcomes of species competition. We find that a competition process occurring on a faster time scale than demography yields a “priority effect” where the first species introduced outcompetes the other one. We then confirm previous findings stipulating that species coexistence is favored by large difference in time scales because the extinction/recolonization process. Our results then highlight that an integration of demographic and competition time scales at both local and regional levels is mandatory to explain communities assemblages and should become a research priority.
KeywordsHawk and dove tactics Aggregation of variables Interspecific competition
- Alexander JM (2003) The Stanford encyclopedia of philosophy, chapter evolutionary game theory. Stanford University Press, Palo AltoGoogle Scholar
- Auger P, Bravo de la Parra R, Poggicale JC, Sanchez E, Nguyen Huu T (2008) Structured population models in biology and epidemiology, lecture notes in mathematics, vol. 1936, Mathematical Biosciences Subseries, chapter Aggregation of variables and applications to population dynamics, pp 209–263Springer, BerlinGoogle Scholar
- Cody ML, Diamond JM (1975) Ecology and evolution of communities. In: Cody M L, Diamond JM (eds) Harvard University Press, CambridgeGoogle Scholar
- Hanski I, Gilpin ME (1997) Metapopulation biology: ecology genetics and evolution. Academic Press, LondonGoogle Scholar
- Sigmund K (1986) A survey of replicator equations. In: Casti JL, Karlqvist A (eds) Complexity, language and life: mathematical approaches. Springer, Berlin, p 16Google Scholar