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Preprints, Working Papers, ... Year : 2023

Water-minimizing strategies under viability constraint for a crop fertirrigation model

Abstract

We propose a simplified model of fertirrigation for which the control variable is the irrigation flow rate. We first characterize conditions fo which the system is viable in the sense that it allows the maximal production of biomass. Then, we consider the problem of minimizing the quantity of water delivered during a season under the viability constraint. We demonstrate that depending on the initial nitrogen content in soil, the optimal strategies can be radically different. Moreover, we show the possibility of having an infinity of optimal singular trajectories.
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Dates and versions

hal-04267286 , version 1 (01-11-2023)

Identifiers

  • HAL Id : hal-04267286 , version 1

Cite

Mahugnon Dadjo, Alain Rapaport, Jérôme Harmand, Rosane Ushirobira, Denis Efimov. Water-minimizing strategies under viability constraint for a crop fertirrigation model. 2023. ⟨hal-04267286⟩
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