Optimal irrigation planning in river basin development: The case of the Upper Cauvery river basin
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The study deals with the irrigation planning of the Cauvery river basin in peninsular India which is extensively developed in the downstream reaches and has a high potential for development in the upper reaches. A four-reservoir system is modelled on a monthly basis by using a mathematical programming (LP) formulation to find optimum cropping patterns, subject to land, water and downstream release constraints, and applied to the Cauvery basin. Two objectives, maximizing net economic benefits and maximizing irrigated cropped area, considered in the model are analysed in the context of multiobjective planning and the trade-offs discussed.
Key wordsIrrigation planning multiobjective planning Cauvery basin four-reservoir system Karnataka master plan
List of symbols
minimum release requirement at reservoirD in monthm
- (EA)m, (EB)m, (EC)m, (ED)m
evaporation in monthm at reservoirsA, B, C andD respectively.
- (FA)m, (FB)m, (FC)m, (FD)m
mean inflows in monthm to reservoirsA, B, C andD respectively.
- i, j, k
irrigated crop index at reservoirA, B andC respectively.
- (IA)i, (IB)j, (IC)k
irrigated cropped area under cropi at reservoirA, j atB, k atC respectively.
(IA) i , the irrigated cropped area for the cropi during the growth monthm at reservoirA; (and similar notations for corresponding symbols in (5), (6), and (7), for reservoirsB, C, andD, respectively) = 0, for all other (non-growing) months.
- (LA), (LB), (LC)
total land available under the command of reservoirsA, B andC respectively.
total water diversion requirement of cropi at reservoirA, j atB andk atC respectively.
- pm, i,qm, j,rm, k
water diversion requirement for irrigating cropi at reservoirA, j atB, andK atC respectively, during the monthm.
- (RA)m, (RB)m, (RC)m, (RD)m
downstream releases from reservoirsA, B, C andD respectively in the monthm
downstream release from reservoirD in monthm
- (SA)m, (SB)m, (SC)m, (SD)m
storage at the beginning of monthm at reservoirsA, B, C andD respectively.
- u, v, w
unirrigated crop index at reservoirsA, B andC respectively
- (UA)u, (UB)v, (UC)w
unirrigated cropped area under cropu at reservoirA, v atB andw atC, respectively.
- (UA)m, u
(UA) m , the unirrigated cropped area under cropu during the growing monthm (similar notations for corresponding symbols in (9) and (10) for reservoirsB andC respectively) which = 0, for all other (non-growing) months.
- (WB)m, (WD)m
water diversion requirements for existing irrigation at reservoirsB andD respectively, during monthm
net benefit per unit area of cropsi, j andk respectively.
net benefit per unit area of cropsu, v, andw respectively
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