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Main Authors: Llorente, Marta, Suárez, Marta
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2504.12152
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author Llorente, Marta
Suárez, Marta
author_facet Llorente, Marta
Suárez, Marta
contents This study analyzes water quality dynamics and aquifer recharge through irrigated agriculture, contributing to the literature on Managed Aquifer Recharge (MAR) amidst growing water scarcity. We develop two optimal control models-- a linear and a non-linear extension of (Martin and Stahn, 2013) --that incorporate the impact of fertilizers on aquifer water quality, distinguishing between organic and conventional farming practices. The linear model applies a constant rebate mechanism, whereas the non-linear model employs a concave rebate scheme. Our results show that, depending on climate change scenarios, fertilizer-induced food price discounts, and pollution levels, a socially optimal equilibrium in fertilizer use can be attained. Policy implications are discussed, emphasizing the trade-off between environmental sustainability and social welfare.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12152
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Evaluating the Effects of Organic vs. Conventional Farming on Aquifer Water Quality
Llorente, Marta
Suárez, Marta
Optimization and Control
49N90, 91B76, 92D40
G.1.6; J.4
This study analyzes water quality dynamics and aquifer recharge through irrigated agriculture, contributing to the literature on Managed Aquifer Recharge (MAR) amidst growing water scarcity. We develop two optimal control models-- a linear and a non-linear extension of (Martin and Stahn, 2013) --that incorporate the impact of fertilizers on aquifer water quality, distinguishing between organic and conventional farming practices. The linear model applies a constant rebate mechanism, whereas the non-linear model employs a concave rebate scheme. Our results show that, depending on climate change scenarios, fertilizer-induced food price discounts, and pollution levels, a socially optimal equilibrium in fertilizer use can be attained. Policy implications are discussed, emphasizing the trade-off between environmental sustainability and social welfare.
title Evaluating the Effects of Organic vs. Conventional Farming on Aquifer Water Quality
topic Optimization and Control
49N90, 91B76, 92D40
G.1.6; J.4
url https://arxiv.org/abs/2504.12152