Species Coexistence by Permanent Spatial Heterogeneity in a Lottery Model

Muko, Soyoka; Iwasa, Yoh

doi:10.1006/tpbi.2000.1456

Cited by 59 publications

(44 citation statements)

References 30 publications

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“…Most marine species for example disperse through pelagic larvae stages (Roughgarden et al, 1988;Muko and Iwasa, 2000). Since they are exposed to the same environmental influences and originate simultaneously from a specific location, they often behave as a swarm and disperse as a group (Hofmann et al, 1998;Flierl et al, 1999;Lockwood et al, 2002).…”

Section: Introductionmentioning

confidence: 99%

Clumped dispersal and species coexistence

Potthoff

Johst

Gutt

et al. 2006

Ecological Modelling

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Section: Introductionmentioning

confidence: 99%

Clumped dispersal and species coexistence

Potthoff

Johst

Gutt

et al. 2006

Ecological Modelling

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“…Their model includes multiple habitats, each of which has different mortality and natality rates of the species. Their study shows that the spatial heterogeneity of mortality rates promotes coexistence of species, but that spatial heterogeneity of natality rates does not [10]. From these two studies, we see that the spatial heterogeneity can promote coexistence in a lottery model.…”

Section: P I (T + 1) = (1 − δ I (T))p I (T) + S(p 1 (T) P N mentioning

confidence: 76%

“…Additionally, Dewi and Chesson [8] studied a lottery model with a stage structure and Comins and Noble [9] studied the model with heterogeneous patches. The recent works of Muko and Iwasa [10,11] considered another mechanism that promotes coexistence in the standard lottery model, namely, spatial heterogeneity. Their model includes multiple habitats, each of which has different mortality and natality rates of the species.…”

Section: P I (T + 1) = (1 − δ I (T))p I (T) + S(p 1 (T) P N mentioning

confidence: 99%

Analysis of a lottery competition model with limited nutrient availability

Iwata

Takeuchi

Kon

2007

Journal of Biological Dynamics

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How a plant species utilizes a limited nutrient is important for its survival. The purpose of this work is to examine how nutrient utilization mechanisms (for seed production) affect the coexistence of competing plant species. We construct a revised lottery model that uses one of three possible kinds of nutrient utilization functions. In all cases the models suggest that two species can coexist under certain circumstances, but that three species cannot coexist, at least when the nutrient utilization functions are continuous functions of nutrient uptake. However, in the discontinuous case three species can coexist in a state of sustained oscillations. The results suggest that one need pay close attention to the differences in the nutrient utilization mechanisms among competing plant species in order to ascertain the competitive outcome.

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“…Perhaps more importantly, spatial inheritability explicitly accounts for inconstant but autocorrelated environments and unifies dispersal characteristics and the spatiotemporal pattern of suitability into a single parameter. Previous analytical frameworks for modeling population dynamics in heterogeneous space have typically been restricted to situations in which the environmental pattern is constant over time (Muko and Iwasa 2000, Bolker 2003, Snyder and Chesson 2003, Goodwin et al 2005 or is redistributed completely between generations (May 1978). Although some fitnessrelated factors (e.g., topography) are essentially fixed, others (e.g., local weather) have little continuity over time, others may be autoregressive, and still others, like the home ranges of long-lived predators, may themselves move in space at a characteristic rate.…”

Section: Discussionmentioning

confidence: 99%

Spatial Selection and Inheritance: Applying Evolutionary Concepts to Population Dynamics in Heterogeneous Space

Schauber

Goodwin

Jones

et al. 2007

Ecology

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Abstract. Organisms in highly suitable sites generally produce more offspring, and offspring can inherit this suitability by not dispersing far. This combination of spatial selection and spatial inheritance acts to bias the distribution of organisms toward suitable sites and thereby increase mean fitness (i.e., per capita population increase). Thus, population growth rates in heterogeneous space change over time by a process conceptually analogous to evolution by natural selection, opening avenues for theoretical cross-pollination between evolutionary biology and ecology. We operationally define spatial inheritance and spatial selective differential and then combine these two factors in a modification of the breeder's equation, derived from simple models of population growth in heterogeneous space. The modified breeder's equation yields a conservative criterion for persistence in hostile environments estimable from field measurements. We apply this framework for understanding gypsy moth population persistence amidst abundant predators and find that the predictions of the modified breeder's equation match initial changes in population growth rate in independent simulation output. The analogy between spatial dynamics and natural selection conceptually links ecology and evolution, provides a spatially implicit framework for modeling spatial population dynamics, and represents an important null model for studying habitat selection.

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Species Coexistence by Permanent Spatial Heterogeneity in a Lottery Model

Cited by 59 publications

References 30 publications

Clumped dispersal and species coexistence

Clumped dispersal and species coexistence

Analysis of a lottery competition model with limited nutrient availability

Spatial Selection and Inheritance: Applying Evolutionary Concepts to Population Dynamics in Heterogeneous Space

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