Emergence of a complex and stable network in a model ecosystem with extinction and mutation.
Kei Tokita,Ayumu Yasutomi +1 more
104
TL;DR: In this paper, a minimal model of the dynamics of diversity-replicator equations with extinction, invasion and mutation was proposed, and the behavior of this model was numerically studied.
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About: This article is published in Theoretical Population Biology. The article was published on 01 Mar 2003. and is currently open access. The article focuses on the topics: Replicator equation & Extinction.
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Citations
Nonlocal competition and logistic growth: Patterns, defects, and fronts
Yosef E. Maruvka,Nadav M. Shnerb +1 more
TL;DR: Logistic growth of diffusing reactants on spatial domains with long-range competition is studied and it is shown that the basic length scale that controls the bifurcation is the width of the Fisher front, and that the total population grows as this width decreases.
54
Self-optimization, community stability, and fluctuations in two individual-based models of biological coevolution.
TL;DR: The long-time dynamical properties of two individual-based models of biological coevolution, which self-optimize through mutation and selection to approximately maximize a community potential function, are compared.
43
The Tangled Nature model with inheritance and constraint: Evolutionary ecology restricted by a conserved resource
TL;DR: In this article, a version of the Tangled Nature model of evolutionary ecology is defined in a phenotype space where mutants have properties correlated to their parents, and a study of the dependence of average degree on the resource level is conducted.
38
Topology trivialization transition in random non-gradient autonomous ODE's on a sphere
TL;DR: In this paper, the mean number of equilibrium points in a system of $N$ random autonomous ODE's introduced by Cugliandolo et al. in 1997 to describe non-relaxational glassy dynamics on the high-dimensional sphere was calculated.
28
Author response: Trade-off shapes diversity in eco-evolutionary dynamics
Abstract: We introduce an Interaction and Trade-off based Eco-Evolutionary Model (ITEEM), in which species are competing for resources in a well-mixed system, and their evolution in interaction trait space is subject to a life-history trade-off between replication rate and competitive ability. We demonstrate that the strength of the trade-off has a fundamental impact on eco-evolutionary dynamics, as it imposes four phases of diversity, including a sharp phase transition. Despite its minimalism, ITEEM produces without further ad hoc features a remarkable range of observed patterns of eco-evolutionary dynamics. Most notably we find self-organization towards structured communities with high and sustainable diversity, in which competing species form interaction cycles similar to rock-paper-scissors games.
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References
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Ecological Diversity and its Measurement
Anne E. Magurran
- 30 Sep 1988
TL;DR: In this paper, the authors define definitions of diversity and apply them to the problem of measuring species diversity, choosing an index and interpreting diversity measures, and applying them to structural and structural diversity.
•Book
The Neutral Theory of Molecular Evolution
Motoo Kimura
- 01 Jan 1983
TL;DR: The neutral theory as discussed by the authors states that the great majority of evolutionary changes at the molecular level are caused not by Darwinian selection but by random drift of selectively neutral mutants, which has caused controversy ever since.
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The neutral theory of molecular evolution.
TL;DR: It is stated that these sequences differed in the cytochromes c of various species to an extent that seemed unnecessary from the standpoint of their function.
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The Unified Neutral Theory of Biodiversity and Biogeography
Stephen P. Hubbell,Luís Borda-de-Água +1 more
- 01 Jan 2001
TL;DR: A study of the issue indicates that it is not a serious problem for neutral theory, and there is sometimes a difference between some of the simulation-based results of Hubbell and the analytical results of Volkov et al. (2003).
5.9K
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