Self-organized spatial pattern determines biodiversity in spatial competition

Vandermeer, John; Yitbarek, Senay

doi:10.1016/j.jtbi.2012.01.005

Cited by 49 publications

(42 citation statements)

References 49 publications

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“…Similar studies of more complicated systems composed of multiple species interacting in less trivial ways have been scarce until recently [61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77].…”

Section: Introductionmentioning

confidence: 99%

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Mowlaei¹,

Roman²,

Pleimling³

2014

J. Phys. A: Math. Theor.

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Abstract. In order to model real ecological systems one has to consider many species that interact in complex ways. However, most of the recent theoretical studies have been restricted to few species systems with rather trivial interactions. The few studies dealing with larger number of species and/or more complex interaction schemes are mostly restricted to numerical explorations. In this paper we determine, starting from the deterministic meanfield rate equations, for large classes of systems the space of coexistence fixed points at which biodiversity is maximal. For systems with a single coexistence fixed point we derive complex Ginzburg-Landau equations that allow to describe space-time pattern realized in two space dimensions. For selected cases we compare the theoretical predictions with the pattern observed in numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Spirals and coarsening patterns in the competition of many species: a complex Ginzburg–Landau approach

Mowlaei¹,

Roman²,

Pleimling³

2014

J. Phys. A: Math. Theor.

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“…Recent years saw a flurry of studies of systems composed of multiple species that interact in a cyclic way. Most of these studies focused on the case of three species [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39], a special situation where every species interact with every other species. Only rather few papers, however, dealt with more realistic cases where a given species interacts with only a subgroup of all species living in the same ecological environment [6,8,9,29,40,41,42,43,44,45,46,47,48,50,51,…”

Section: Introductionmentioning

confidence: 99%

Cyclic competition of four species: domains and interfaces

Roman¹,

Konrad²,

Pleimling³

2012

J. Stat. Mech.

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Abstract. We study numerically domain growth and interface fluctuations in oneand two-dimensional lattice systems composed of four species that interact in a cyclic way. Particle mobility is implemented through exchanges of particles located on neighboring lattice sites. For the chain we find that the details of the domain growth strongly depend on the mobility, with a higher mobility yielding a larger effective domain growth exponent. In two space dimensions, when also exchanges between mutually neutral particles are possible, both domain growth and interface fluctuations display universal regimes that are independent of the predation and exchange rates.

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“…Complexity theory is a portmanteau term for a diverse collection of mathematical results and conjectures on complex systems [16-21]. It studies systems that exist far from equilibrium and whose intrinsic dynamics are typically both chaotic and high dimensional.…”

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confidence: 99%