Abstract
The relation between diversity and the interaction of species in ecosystems has been studied using a population dynamics model with scale-invariant interaction terms where new species are introduced randomly. This model was shown to be the minimal model for reproducing some basic characteristic features of real ecosystems not only qualitatively, but also quantitatively. It was found that there are two phases in ecoevolution dynamics, named the steady and diversifying phases. The number of species in all ecosystem is finite in the steady phase, and it increases with time in the diversifying phase. The transition between these phases is continuous, and a transition exponent was estimated. It was also found that a larger λ gives both stability and enforcement to the interactions.
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This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008
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Murase, Y., Shimada, T. & Ito, N. Phase diagram and stability of ecosystems. Artif Life Robotics 13, 460–463 (2009). https://doi.org/10.1007/s10015-008-0602-9
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DOI: https://doi.org/10.1007/s10015-008-0602-9