1984
DOI: 10.4039/ent116933-7
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Multitrophic Models of Predator–prey Energetics: Ii. A Realistic Model of Plant–herbivore–parasitoid–predator Interactions

Abstract: An energy-flow multitrophic-level model incorporating acquisition (functional response) and assimilation (metabolic pool model) functions and stochastic development is proposed and put into historical perspective. The model is general for each trophic level and for all subcomponents. Prey demand drives the functional response model, while food supply–demand determines all intrinsic rates in the model. The model is used to explore the theoretical properties of a multitrophic system comprising alfalfa, blue aphi… Show more

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Cited by 88 publications
(38 citation statements)
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“…PBDM modelling of this level of complexity is facilitated by the fact that the same dynamics model are used for all species and the same forms for the biodynamic models reoccur for analogous processes in the life histories of all species across trophic levels (Gutierrez & Baumgärtner, 1984;Gutierrez et al, 2011;Gutierrez & Ponti, 2013). The development of PBDMs is facilitated by their modular structure enabling different combinations of species to be implemented in model runs using simple true-false Boolean variables, allowing the system to be viewed from the perspective of any of the interacting species (Gutierrez & Baumgärtner, 1984;Gutierrez & Ponti, 2013). The inclusion of rich biology allows prediction and mapping of the phenology, dynamics and relative abundance across a wide landscape with varied climates and future climate change.…”
Section: Discussionmentioning
confidence: 99%
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“…PBDM modelling of this level of complexity is facilitated by the fact that the same dynamics model are used for all species and the same forms for the biodynamic models reoccur for analogous processes in the life histories of all species across trophic levels (Gutierrez & Baumgärtner, 1984;Gutierrez et al, 2011;Gutierrez & Ponti, 2013). The development of PBDMs is facilitated by their modular structure enabling different combinations of species to be implemented in model runs using simple true-false Boolean variables, allowing the system to be viewed from the perspective of any of the interacting species (Gutierrez & Baumgärtner, 1984;Gutierrez & Ponti, 2013). The inclusion of rich biology allows prediction and mapping of the phenology, dynamics and relative abundance across a wide landscape with varied climates and future climate change.…”
Section: Discussionmentioning
confidence: 99%
“…eggs {7, 8}, larvae {9, 10} and pupae {11, 12}) and nondiapause adults {13}. The underpinning modelling concepts are found in Gutierrez and Baumgärtner (1984) and Gutierrez (1992Gutierrez ( , 1996, whereas the mathematics of the time invariant and time varying distributed maturation-time dynamics model are provided in Manetsch (1976), Vansickle (1977) and DiCola et al (1999). A brief review of the mathematics is given in the Appendix.…”
Section: Methodsmentioning
confidence: 99%
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“…Both ω and α in this model are taken to be linearly increasing functions of temperature determined by fitting data. This model is a modification of the temperature independent supplydemand response (Gutierrez et al [1995]) response, notwithstanding the comments by Royama [1971, p. 55], who questions the derivation of the response and has shown that it amounts to a simpler Ivlev response.…”
Section: Discrete Time Modelmentioning
confidence: 99%
“…Our admitted bias is to use mechanistic physiologically based demographic models (PBDMs) that explicitly capture important aspects of the weather-driven biology and trophic interactions independent of distribution records [14][15][16][17]. The dynamics models and sub-model functions of PBDMs are largely the same across trophic levels and species, albeit with species-specific parameters, and when driven by daily weather or climate change scenarios predict prospectively the phenology and relative dynamics of a species' population across wide geographical areas [6,14,15].…”
mentioning
confidence: 99%