Technical review on derivation methods for behavior dependent functional responses

Garay, József

doi:10.1556/168.2019.20.1.4

Cited by 7 publications

(5 citation statements)

References 153 publications

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“…Time constraints in ecology have important consequences. For instance, in trophic interactions the functional response takes account of time constraints (Holling 1959, Křivan 2008, Garay 2019. Schoener (1987), in the framework of a detailed optimization model, calculate the optimal territory size and patrolling time, as a function of food density and intrusion rate, calling our attention to the importance of the time budget.…”

Section: Introductionmentioning

confidence: 99%

A temporal model of territorial defence with antagonistic interactions

Varga

Garay

Rychtář

et al. 2020

Theoretical Population Biology

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Territorial behaviour is an important part of the lives of many animals. Once a territory has been acquired, an animal may spend its entire life on it, and may have to repeatedly defend it from conspecifics. Some species make great investments in the defence of a territory, and this defence can be costly, in terms of time, energy and risk of injury. Time costs in particular have rarely been explicitly factored into such models. In this paper we consider a model of territorial defence which includes both population dynamic and time delay elements, building upon recent advances in time constraint models. Populations may divide into two distinct types, where one type makes no effort to control territories. We shall call this type nomads, and the other type territorials. Here the territory owners must divide their time between patrolling and foraging, and this balance is their only strategic decision. We show how to find the evolutionarily stable patrolling strategy and the population composition of territorials and nomads, and consider some examples demonstrating key situations. We see that both time constraints and population density pressure are crucial to influencing behaviour. In particular we find cases with both territorial individuals and nomads where a mixed, either pure or both pure patrolling strategies are evolutionarily stable. In different conditions either nomads or territorials can be absent, and indeed for a significant range of parameter combinations the population can exhibit tristability, with three distinct ecologically stable population compositions: with both nomads and territorials, only nomads or only territorials.

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Section: Introductionmentioning

confidence: 99%

A temporal model of territorial defence with antagonistic interactions

Varga

Garay

Rychtář

et al. 2020

Theoretical Population Biology

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“…Quantifying functional responses is a cornerstone in understanding predator feeding behaviour (Garay, 2019; Novak & Stouffer, 2021; Papanikolaou, Kypraios, et al, 2021). Therefore, we expect the evaluation of predators' feeding rate to remain a core feature in ecology.…”

Section: Discussionmentioning

confidence: 99%

Intraspecific interactions at high predator densities affect the predation efficiency ofNeoseiulus californicus(Acari: Phytoseiidae) when prey density is low

Papanikolaou

Broufas

Kypraios

et al. 2022

Ecological Entomology

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Quantifying functional responses is a cornerstone in evaluating the predation efficiency of biological control agents such as predatory insects and mites. In this study, we investigate whether the efficiency of Neoseiulus californicus (Acari: Phytoseiidae) in consuming prey is driven by intraspecific interactions. For this purpose, laboratory functional response experiments were conducted using one, two, three or four predators at several initial egg densities of the two‐spotted spider mite, Tetranychus urticae (Acari: Tetranychidae). The data fitted to the predator‐dependent Crowley–Martin model which accounts for intraspecific interactions. The results suggest that at high prey densities, i.e. the densities at which the predator is satiated, intraspecific interactions did not affect the predation potential of N. californicus, as the maximum number of T. urticae eggs that can be attacked by predator individuals did not differ between treatments (i.e., predator densities). However, at low prey densities and the highest predator density (i.e., four individuals), intraspecific interactions were detected, as revealed by the estimated attack rates, i.e. the per capita prey consumption at low prey densities. While mean attack rates did not differ significantly when one, two and three predators were exposed to prey, when predator density increased to four individuals, attack rate was considerable lower compared to the other predator densities. These results indicate that intraspecific interactions are more intense at low prey densities, where the predator is not satiated and therefore digestion breaks do not exist. In contrast, at high prey densities digestion breaks exist, so that may fully accommodate the cost of intraspecific interactions. These results also suggest that predator density should be considered when functional responses are measured.

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“…Another issue is that we have no information on the searching and handling times of the additional food. In order to build up a well-detailed densitydependent optimal foraging model and dynamics, these data would also be a prerequisite, since the possible optimal foraging strategy-dependent functional response needs these parameters [46]. On the other hand, if the crop plants offer no sufficient food for the pollinator, then a small quantity of added food (e.g., some vitamin) can increase the pollinator density, so Liebig's law of the minimum may play an important role (see e.g., [47]).…”

Section: Discussion Of Theoretical Issuesmentioning

confidence: 99%

Theoretical Foundation of the Control of Pollination by Hoverflies in a Greenhouse

et al. 2021

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We propose a conceptual model for pollination and fertilization of tomato flowers in greenhouses crops by hoverflies, when the maximal number of adult pollinators maintained by the crops is less than what is needed for an economically successful pollination in greenhouses. The model consists of a two-stage process for additional feeding of hoverfly to maintain the pollinator density at the economically desired level. First, with a stochastic model, we calculate the density of flies necessary for the economically successful pollination, determined according to the economically expected yield. Second, using a deterministic optimal control model, we find a minimum cost supplementary feeding strategy. In summary, we theoretically demonstrate, at the present stage of the research without validations in case studies, that optimal supplementary feeding can maintain the economically desired hoverfly density.

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Technical review on derivation methods for behavior dependent functional responses

Cited by 7 publications

References 153 publications

A temporal model of territorial defence with antagonistic interactions

A temporal model of territorial defence with antagonistic interactions

Intraspecific interactions at high predator densities affect the predation efficiency ofNeoseiulus californicus(Acari: Phytoseiidae) when prey density is low

Theoretical Foundation of the Control of Pollination by Hoverflies in a Greenhouse

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