Theoretical Foundation of the Control of Pollination by Hoverflies in a Greenhouse
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- Francisco J. Fernández
- Center for Agribusiness Biotechnology Research, Almeria University, Ctra. Sacramento s/n, ES-04120 Almeria, Spain
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- József Garay
- Centre for Ecological Research, Evolutionary Systems Research Group, Klebelsberg Kuno utca 3, H-8237 Tihany, Hungary
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- Tamás F. Móri
- Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15., H-1053 Budapest, Hungary
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- Villő Csiszár
- Department of Probability Theory and Statistics, L. Eötvös University, Pázmány Péter Sétány1/c, H-1117 Budapest, Hungary
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- Zoltán Varga
- Department of Mathematics, Szent István University, Páter K. u. 1., H-2103 Gödöllő, Hungary
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- Inmaculada López
- Department of Mathematics, University of Almería. La Cañada de San Urbano, 04120 Almería, Spain
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- Manuel Gámez
- Center for Agribusiness Biotechnology Research, Almeria University, Ctra. Sacramento s/n, ES-04120 Almeria, Spain
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- Tomás Cabello
- Center for Agribusiness Biotechnology Research, Almeria University, Ctra. Sacramento s/n, ES-04120 Almeria, Spain
説明
<jats:p>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.</jats:p>
収録刊行物
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- Agronomy
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Agronomy 11 (1), 167-, 2021-01-17
MDPI AG