This is a model of a three way species interaction between a bird predator/disperser, pollinator/prey, and plant. The code optimizes parameters in a deterministic model for data generated using the stochastic model. This provided exploratory background relevant to the following eventual publication:
Kelsey M. Yule, Christopher A. Johnson, Judith L. Bronstein, Régis Ferrière, Interactions among interactions: The dynamical consequences of antagonism between mutualists, Journal of Theoretical Biology, Volume 501, 2020, 110334, ISSN 0022-5193, https://doi.org/10.1016/j.jtbi.2020.110334. (https://www.sciencedirect.com/science/article/pii/S0022519320301892) Abstract: Species often interact with multiple mutualistic partners that provide functionally different benefits and/or that interact with different life-history stages. These functionally different partners, however, may also interact directly with one another in other ways, indirectly altering net outcomes and persistence of the mutualistic system as a whole. We present a population dynamical model of a three-species system involving antagonism between species sharing a mutualist partner species with two explicit life stages. We find that, regardless of whether the antagonism is predatory or non-consumptive, persistence of the shared mutualist is possible only under a restrictive set of conditions. As the rate of antagonism between the species sharing the mutualist increases, indirect rather than direct interactions increasingly determine species’ densities and sometimes result in complex, oscillatory dynamics for all species. Surprisingly, persistence of the mutualistic system is particularly dependent upon the degree to which each of the two mutualistic interactions is specialized. Our work investigates a novel mechanism by which changing ecological conditions can lead to extinction of mutualist partners and provides testable predictions regarding the interactive roles of mutualism and antagonism in net outcomes for species’ densities. Keywords: Indirect effects; Predator-prey; Press perturbation; Non-consumptive effects; Stage-structured population dynamics