Economics of Water Resources The Contributions of Dan Yaron NATURAL RESOURCE MANAGEMENT AND POLICY Editors: Ariel Dinar David Zilberman Rural Development Department Dept. of Agricultural and The World Bank Resource Economics 1818 H Street, NW Univ. of California, Berkeley Washington, DC 20433 Berkeley, CA 94720 EDITORIAL STATEMENT There is a growing awareness to the role that natural resources such as water, land, forests and environmental amenities play in our lives. There are many competing uses for natural resources, and society is challenged to manage them for improving social well being. Furthermore, there may be dire consequences to natural resources mismanagement. Renewable resources such as water, land and the environment are linked, and decisions made with regard to one may affect the others. Policy and management of natural resources now require interdisciplinary approach including natural and social sciences to correctly address our society preferences. This series provides a collection of works containing most recent findings on economics, management and policy of renewable biological resources such as water, land, crop protection, sustainable agriculture, technology, and environmental health. It incorporates modem thinking and techniques of economics and management. Books in this series will incorporate knowledge and models of natural phenomena with economics and managerial decision frameworks to assess alternative options for managing natural resources and environment. Water is a scarce resource. Therefore, the efficient use of water is an economic issue. When scarcity is characterized by both quantity and quality, the economics becomes even more complicated. This book addresses the economic aspects of water quantity and quality interaction. The book offers a series of analytical and policy chapters that cover field, farm, and regional-level water allocation issues, as well as international aspects of water sharing. The book demonstrates the ability and constraints of economic approaches in solving various water allocation problems. The Series Editors Recently Published Books in the Series Feitelson, Eran and Haddad, Marwan Management of Shared Groundwater Resources: the Israeli-Palestinian Case with an International Perspective Wolf, Steven and Zilberman, David Knowledge Generation and Technical Change: Institutional Innovation in Agriculture Moss, Charles B., Rausser, Gordon C., Schmitz, Andrew, Taylor, Timothy G., and Zilberman, David Agricultural Globalization, Trade, and the Environment Haddadin, Munther J. Diplomacy on the Jordan: International Conflict and Negotiated Resolution Just, Richard E. and Pope, Rulon D. A Comprehensive Assessment of the Role of Risk in U.S. Agriculture Economics ofWater Resources The Contributions of Dan Yaron Collected by Ariel Dinar The World Bank, Washington DC, US.A. And David Zilberman University of California, Berkeley, USA SPRINGER SCIENCE+BUSINESS MEDIA, LLC Library of Congress Cataloging-in-Publication Data Dinar, Ariel. Economics of water resources : the contributions of Dan Yaron / collected by Ariel Dinar and David Zilberman. p. cm. - (Natural resource management and policy ; 24) IncIudes bibliographical references and index. ISBN 978-1-4613-5294-5 ISBN 978-1-4615-0899-1 (eBook) DOI 10.1007/978-1-4615-0899-1 1. Water resources development-Economic aspects. 2. Water-supply--Economic aspects. 3. Water quality management-Economic aspects. 1. Dinar, Ariel, 1947 - II. Zilberman, David III. Title. IV. Series. HD1691 .Y372002 333.91---dc21 2002019827 Copyright © 2002 by Springer Science+Business Media New York Originally published by Kluwer Academic Publishers in 2002 Softcover reprint of the hardcover 1s t edition 2002 All rights reserved. No part ofthis work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose ofbeing entered and executed on a computer system, for exclusive use by the purchaser ofthe work. Permissions for books published in Europe: [email protected] Permissions for books published in the United States of America: [email protected] Printed on acid-free paper. Dan Varon July 17, 1922 - December 26,1999 CONTENTS List of Figures ix List of Tables Xl Acknowledgments xiii Preface xv 1. Dan Yaron: The Person, His Work and His Legacy 1 By Ariel Dinar and David Zilberman 2. The Israel Water Economy: An Overview 9 ByDan Yaron 3. Empirical Analysis of the Demand for Water by Israeli 21 Agriculture By Dan Yaron 4. Wheat Response to Soil Moisture and the Optimal Irrigation 35 Policy under Conditions of Unstable Rainfall By Dan Yaron, Gadi Strateener, Dani Shimshi and Mordechai Weisbrod 5. A Model for the Economic Evaluation of Water Quality 51 in Irrigation By Dan Yaron and Eshel Bresler 6. Application of Dynamic Programming in Markov Chains to the 63 Evaluation of Water Quality in Irrigation By Dan Yaron and Amikam Olian 7. A Model for Optimal Irrigation Scheduling with Saline Water 73 By Dan Yaron, Eshel Bresler, Hanoch Bielorm' and Biniamin Harpinist 8. Optimal Allocation of Farm Irrigation Water during 89 Peak Seasons By Dan Yaron and Ariel Dinar 9. The Value of Information on the Response Function efCrops to 105 Soil Salinity By Eli Feinerman and Dan Yaron 10. A Model for the Analysis of Seasonal Aspects of Water Quality 125 Control By Dan Yaron 11. Treatment Optimization of Municipal Wastewater and Reuse 143 for Regional Irrigation By Ariel Dinar and Dan Yaron 12. Evaluating Cooperative Game Theory in Water Resources 165 By Ariel Dinar, Aaron Ratner and Dan Yaron viii 13. Adoption and Abandonment ofIrrigation Technologies 183 By Ariel Dinar and Dan Yaron 14. An Approach to the Problem of Water Allocation to Israel and 201 the Palestinian Entity By Dan Yaron 15. Placing Dan Yaron's Work in the Literature 219 By David Zilberman and Ariel Dinar Appendix: Dan Yaron's Graduate Students 227 Index 231 LIST OF FIGURES 2.1 A schematical map ofIsrael and the core elements of its water system 19 3.1 Estimated relationship between water quantity and sorghum grain yield, using 24 the formula y = bo + bjx2 + b2x22 3.2 Estimated relationship between water quantity and sorghum grain yield, using 25 the formula y = bo + bjx2 + b2x23 4.1 Typical moisture fluctuation in a given soil layer 37 4.2 Estimated soil moisture variation curve and observed moisture points for wheat 44 variety FA, treatment T6, in year 1968/1969, layer 1 (0-30 cm) 5.1 A hypothetical iso-soil-salinity curve and determination of the optimal 54 quantity-salinity concentration combination 5.2 An iso-soil-salinity curve Xij :<;; meq CIII derived with the aid of the linear 60 programming model 7.1 Net irrigation water requirement as a function of time during the irrigation 83 season for five levels of initial soil salinity and four levels of salinity of irrigation water 7.2 Net income, crop yield, and net irrigation water quantities, as a function of 84 initial soil salinity for four levels of water salinity 9.1 The response function 107 9.2 The estimated response function of potatoes 111 9.3 Quantity of leaching water (Q) as a function of the target soil salinity (S) 114 - (initial soil salinity S = 20 meq ClII) 12.1 Income transformation curves between Farm 1 and 2 (Scenarios 3 and 4) 173 12.2 The core of the three farms cooperative game in the NTU situation 176 13.1 Scheme for the estimation procedure of the technology cycle 187 13.2 Observed, simulated and estimated values for the diffusion of drag-line 188 sprinklers in Hadera region 13.3 Effect of subsidy for irrigation equipment on the diffusion of drip 196 13.4 Substitution between water price and subsidy for irrigation equipment in order 197 to reach the ceiling of the diffusion process for drip at year 2000 14.1 Income efficiency frontier: Israel and the Palestinian Entity 213 LIST OF TABLES 2.1 Water potential from natural sources, excluding Gaza and South Jordan Valley 10 2.2 Urban water use and residual for agriculture from natural sources 11 2.3 Cost of water from various sources 13 2.4 Deviation from water quotas 17 2.5 Profit as a percentage of outlays in 1989 to 1990 3.1 Least-squares estimate ofy (sorghum fiber yield kgldunam) as a function Ofx2 23 (effective quantity of water applied m3/dunam), using two alternative formula 4.1 Details on irrigation treatments of wheat in 4 years of experimentation, 1965- 38 1966 to 1968-1969, at the Gilat Experiment Station 4.2 Empirical estimates of the parameters aij and bij for the FA wheat variety 42 grown in 1967/1968 using the function ETij = aij+ bijwij 4.3 Mean values of absolute relative deviations for the FA wheat variety in 43 1967/1968 4.4 Seasonal means of the absolute value of the relative deviations D for all 45 varieties and years 4.5 Expected values of water use, yield of wheat, and net return per unit area of 48 land under selected irrigation policies based on computed soil moisture depletion values at time of irrigation 4.6 Comparison of estimated net returns per unit area of land (ILIdunam) under 49 policies 5 and 14 in years of low rainfall 5.1 Empirical estimates of marginal and average rates of substitution of water 59 salinity for quantity 6.1 Annual expected steady state monetary losses due to soil and water salinity 68 6.2 Corresponding values for a range of water quality 69 7.1 The estimated parameters (lit, bt) of the Gilat experiments 79 8.1 Subdivision of the irrigation season 93 8.2 Water constraints and initial cotton irrigation activities 96 8.3 Generation of new irrigation activities and shadow prices' of water of the LP- 99 DP consecutive loop 8.4 Hectares of cotton at consecutive LP solutions 101 9.1 Relationships between average soil salinity (S;) and potato yieldO(Y;}-the 110 Negev area 9.2 Expected value of sample information [EVSI(n)] for the three alternative 119 observations spreads 10.1 Relative monthly flows with respect to an "average month" for several Illinois 127 rivers 10.2 Relative monthly DO concentrations with respect to an "average month" for 127 the Du Page River, Illinois 10.3 Marginal social cost of BOD removal 138 ILl Effluent quality requirement for major crops 145 11.2 Basic data for representative crops 155 11.3 Farms' major water and land characteristics 156 xii 11.4 Cost, gross income, and shadow prices of freshwater under the optimal 157 noncooperative solution 11.5 Comparison of major results in the regional optimization solution at different 158 subsidy levels / 11.6 Average treatment and conveying costs in a "Grand Coalition" cooperative 159 setting 11.7 Land use and cropping patterns under the noncooperative and cooperative 160 situations 11. 8 Use of water under the noncooperative and cooperative situations 161 12.1 Income of players in the optimal regional solutions for different coalition 168 combinations, the value for the different coalitions, and the incremental income values before redistribution 12.2 Extreme points of the core in the regional game (case study I) 169 12.3 Distribution of the incremental income among participants in the regional 170 cooperation according to alternative allocation schemes (case study I) 12.4 Nash-Harsanyi solution for a three-farm cooperative with reference to scenario 175 4 (case study II) 13.1 Characteristics of sample citrus farms, 1987, by region 191 13.2 Plantation and adoption periods for irrigation technologies in different regions 191 in the sample 13.3 Estimated irrigation technology cycles (years) 193 13.4 Estimated logistic quadratic diffusion and abandonment curves for 194 technologies being abandoned, by regions 13.5 Logistical curves of the diffusion of several modem irrigation technologies 195 (corrected for serial correlation) 14.1 Projected water supply potential from natural sources (fresh and brackish) and 202 projected use in Israel in the years 2000 and 2010 14.2 Water supply potential of the Mountain Aquifer 204 14.3 Population and water requirements projections for the West Bank and the Gaza 204 Strip for the year 2000 according to Awartani (1990) 14.4 Water inputs and yields in the traditional and the modernization project 205 14.5 Quantity of water per ton of product (m3/ton) 207