Is the Irrigation Water Demand Really Convex?

37 Pages Posted: 29 Nov 2001

See all articles by Christophe Bontemps

Christophe Bontemps

ESR-INRA

Stephane Couture

ESR-INRA

Pascal Favard

Universite de La Rochelle; Université de Tours

Date Written: October 2001

Abstract

We estimate the irrigation water demand for a season under uncertainty using a dynamic programming model and a crop-growth simulation model (EPIC-PHASE) linked to a CRRA utility function representing the farmer's objective function. This model is used to generate the data allowing the estimation of irrigation water demand by a nonparametric procedure. An application shows that demand functions present four main areas: for very small quantities, the demand is inelastic. In the second area, where water is no more an essential input and is not yet a risk reducing input, the demand is elastic. But, we find a third, non-intuitive, area for larger quantities where the water is a risk reducing input and the demand becomes inelastic again. In the last area the water demand is obviously elastic for important total water quantities. This result is of great importance to analyse a regulation policy.

Keywords: Seasonal irrigation water demand, uncertainty, regulation policy

JEL Classification: Q15, D81

Suggested Citation

Bontemps, Christophe and Couture, Stephane and Favard, Pascal and Favard, Pascal, Is the Irrigation Water Demand Really Convex? (October 2001). Available at SSRN: https://ssrn.com/abstract=291940 or http://dx.doi.org/10.2139/ssrn.291940

Christophe Bontemps (Contact Author)

ESR-INRA ( email )

Chemin de Borde-Rouge
Auzeville B.P. 27
Castanet-Tolosan Cedex, 31326
France

Stephane Couture

ESR-INRA

Chemin de Borde-Rouge
Auzeville B.P. 27
Castanet-Tolosan Cedex, 31326
France

Pascal Favard

Universite de La Rochelle ( email )

FLASH
F-17042 La Rochelle Cedex 1
France

Université de Tours ( email )

Av
2 lion
Tours cedex 03, 37200
France

HOME PAGE: http://pascal.favard.free.fr/SPF/Menu__.html

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