Experimentally induced transitions in the dynamic behaviour of insect populations

Costantino, R. F.; Cushing, J. M.; Dennis, B. R.; Desharnais, Robert A.

doi:10.1038/375227a0

Cited by 208 publications

(153 citation statements)

References 17 publications

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“…These results are even more significant in the light of recent findings by Cavalieri & Koçak (1995) who demonstrated the transition from steady cycles to continuous chaos by adjusting birth and death rates in populations of the corn borer, Ostrinia nubalis. Similar results were reported by Costantino et al (1995) and Dennis et al (1995) for Tribolium. The findings by Costantino et al (1995), Dennis et al (1995), and Cavalieri and Koçak (1995) …”

Section: Resultssupporting

confidence: 80%

Dynamics of experimental populations of native and introduced blowflies (Diptera: Calliphoridae): mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

Godoy

Zuben

Reis

et al. 1996

Mem. Inst. Oswaldo Cruz

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Section: Resultssupporting

confidence: 80%

Dynamics of experimental populations of native and introduced blowflies (Diptera: Calliphoridae): mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

Godoy

Zuben

Reis

et al. 1996

Mem. Inst. Oswaldo Cruz

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“…The LPA model has been validated by means of a number of experiments, and has been used successfully to predict transitions between equilibria, periodic cy-cles, invariant loops, and chaos, as well as saddle phenomena and phase switching in population cycles (see Costantino et al, 1995Costantino et al, , 1997Costantino et al, , 1998Cushing et al, 1996Cushing et al, , 1998Dennis et al, 1995Dennis et al, , 1997Desharnais et al, 1997;Beniot et al, 1998;Henson et al, 1998). Henson and Cushing (1997) and Costantino et al (1998) modified the autonomous LPA model (1) to account for the periodic flour volume.…”

Section: The Modelmentioning

confidence: 99%

“…The α = 0 or constant 20 g habitat is commonly used in our laboratory and the projected 2-cycles are well documented (Moffa and Costantino, 1977;Desharnais and Costantino, 1980;Jillson, 1980;Costantino et al, 1995Costantino et al, , 1997. The α = 0.6 alternating 32-8 g habitat was used in the experiment conducted by Jillson (1980) and recently analysed by Henson and Cushing (1997) and Costantino et al (1998).…”

Section: Experimental Protocolmentioning

confidence: 99%

“…To explain this phenomenon, the discrete LPA Tribolium model of Dennis et al (1995Dennis et al ( , 1997 and Costantino et al (1995Costantino et al ( , 1997 was modified by Henson and Cushing (1997) and Costantino et al (1998) to account for the periodic flour volume. Cannibalism between life cycle stages is the nonlinear mechanism driving flour beetle dynamics in these experiments (Park et al, 1970).…”

Section: Introductionmentioning

confidence: 99%

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Multiple Attractors, Saddles, and Population Dynamics in Periodic Habitats

Henson

Costantino

Cushing

et al. 1999

Bulletin of Mathematical Biology

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1122 S. M. Henson et al.periodic forcing. A periodically-forced, stage-structured mathematical model predicted the transient and asymptotic behaviors of Tribolium (flour beetle) populations cultured in periodic habitats of fluctuating flour volume. Predictions included multiple (2-cycle) attractors, resonance and attenuation phenomena, and saddle influences. Stochasticity, combined with the deterministic effects of an unstable 'saddle cycle' separating the two stable cycles, is used to explain the observed transients and final states of the experimental cultures. In experimental regimes containing multiple attractors, the presence of unstable invariant sets, as well as stochasticity and the nature, location, and size of basins of attraction, are all central to the interpretation of data.

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“…In particular, genetic techniques such as sterile insect release and engineered organisms are under intense development for immediate application. Although the importance of this new scenario is generally recognized, the available scientifi c and economic information does not accurately project the possible effects of the use of modern pesticides and/or the ecological patterns and population trends including cycles, peaks, or crashes (Kareiva 1989, Costantino et al 1995, 1997, Cushing et al 2003, Hilker & Westerhoff 2007. Generally, these patterns are strongly associated with endogenous and/ or exogenous forces (Gotelli 2008).…”

Section: Pesticides and Ipmmentioning

confidence: 99%

Ecological modeling and pest population management: a possible and necessary connection in a changing world

Lima¹,

Ferreira²,

Godoy³

2009

Neotrop. entomol.

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RESUMO -A modelagem ecológica é uma ferramenta importante para a investigação de padrões de comportamento dinâmico em populações, interações trófi cas e também em ecologia comportamental. Contudo, os padrões ecológicos que refl etem tendências de oscilação populacional muitas vezes não são claramente visíveis sem instrumentos analíticos, como os modelos ecológicos. Dessa forma, a modelagem ecológica exerce papel fundamental na descrição de processos demográfi cos importantes para a dinâmica populacional. Os modelos ecológicos, além de tornarem possível a visualização de padrões ecológicos, podem também revelar padrões de persistência populacional nos diversos sistemas trófi cos, incluindo as relações presa-predador ou hospedeiro-parasitóide, interações comumente presentes em programas de manejo integrado de pragas. Neste fórum apresentamos os principais aspectos ecológicos importantes para a construção de modelos e implementação de programa de manejo de pragas em insetos. Em particular, analisamos a combinação entre modelos hospedeiro-parasitóide e o conceito de nível de dano em escala espaço-temporal. Como conclusão sobre a combinação de modelos, evidencia-se que a estrutura espacial é essencial para modelos desta natureza, já que sua introdução no sistema altera signifi cativamente os valores de nível de dano econômico. PALAVRAS-CHAVE: Ecologia teórica, manejo integrado de pragas, modelo matemáticoABSTRACT -Ecological modeling is an important tool for investigating dynamic behavior patterns in populations, trophic interactions, and behavioral ecology. However, the ecological patterns that refl ect population oscillation trends are often not clearly visible without analytical instruments such as ecological models. Thus, ecological modeling plays a fundamental role in describing demographic processes that are important for population dynamics. Ecological models, besides making possible the visualization of ecological patterns, may also reveal patterns of population persistence in many trophic systems, including prey-predator or host-parasitoid relationships, interactions that are commonly present in integrated pest management programs. In this forum, we present the main ecological aspects important for model building and implementation of integrated pest management programs for insects. Particularly, in this study, we analyze the combination between host-parasitoid models and the concept of economic threshold level on a spatio-temporal scale. As a conclusion about the model combination, spatial structure is essential for models of this nature, since its introduction into the system signifi cantly alters the economic threshold-level values.

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Experimentally induced transitions in the dynamic behaviour of insect populations

Cited by 208 publications

References 17 publications

Dynamics of experimental populations of native and introduced blowflies (Diptera: Calliphoridae): mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

Dynamics of experimental populations of native and introduced blowflies (Diptera: Calliphoridae): mathematical modelling and the transition from asymptotic equilibrium to bounded oscillations

Multiple Attractors, Saddles, and Population Dynamics in Periodic Habitats

Ecological modeling and pest population management: a possible and necessary connection in a changing world

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