Social Spacing as an Intermediate Scale in Models of Population Dynamics Based on the Behavior of Individuals

Abstract:
A model with multiple time/space scales will be presented that permits population dynamics to be derived from individual behavior. First is the capture event scale, in seconds; next is the optimal foraging scale, in hours, that expresses the yield from the capture scale; then the social spacing scale, in days, during which the positions of the individuals relative to each other are established; and finally, the population and species-interaction scale, in weeks, is the scale at which eggs are produced. Because these four scales differ in speed by an order of magniture or more, we can proceed in a hierarchical way through them, one by one. Fast processes keep up with slow ones, and slow processes determine the 'environment' within which the fast processes operate. This procedure leads to a population-dynamic and species-interaction model that can be used to revisit the key theoretical issues of community ecology, such as coexistence and niche differentiation, instead of relying on the logistic and Lotka-Volterra equations that were used early on in community theory. Assigned reading Chapter 1 of Roughgarden, 1995, Anolis Lizards of the Caribbean, Oxford University Press.