Modeling water allocating institutions based on Multiple Optimization Problems with Equilibrium Constraints

Modeling water allocating institutions based on Multiple Optimization Problems with Equilibrium Constraints
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DOI:
10.1016/j.envsoft.2013.03.010
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发表时间:
2013-08-01
影响因子:
4.9
通讯作者:
Kuhn, Arnim
Kuhn, Arnim
中科院分区:
环境科学与生态学2区
文献类型:
--
作者:
Britz, Wolfgang;Ferris, Michael;Kuhn, Arnim

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基于数学规划的水文经济流域模型(HERBM)通常被描述为具有单一集合目标函数的显式“集合优化”问题。这种形式通常是无意的,它隐含地假设,关于水分配的决定是通过中央计划或功能正常的市场做出的,例如最大化社会福利。然而,在没有完善的水市场的情况下,水用户的个人最优决策将不同于社会最优决策。传统的综合HERBM无法模拟这种情况,因此可能无法描述现有的管理用水的机构,并为替代机构产生有偏见的结果。我们提出了一种新的基于平衡约束的多重优化问题(MOPEC)的HERBMS求解格式,该格式允许表达由于不对称获取水资源而产生的空间外部性。与通常使用的线性(LP)或非线性规划(NLP)方法不同,这种新的问题格式使多个用水用户能够同时模拟许多“独立优化”决策,同时保持基于流域用水量和流量的物理相关性。我们表明,替代问题格式允许制定HERBM,在比较不同的水管理机构时产生更现实的结果。(C)2013爱思唯尔有限公司。保留所有权利。
Hydro-economic river basin models (HERBM) based on mathematical programming are conventionally formulated as explicit 'aggregate optimization' problems with a single, aggregate objective function. Often unintended, this format implicitly assumes that decisions on water allocation are made via central planning or functioning markets such as to maximize social welfare. In the absence of perfect water markets, however, individually optimal decisions by water users will differ from the social optimum. Classical aggregate HERBMs cannot simulate that situation and thus might be unable to describe existing institutions governing access to water and produce biased results for alternative ones. We propose a new solution format for HERBMs, based on Multiple Optimization Problems with Equilibrium Constraints (MOPEC), which allows, inter alia, to express spatial externalities resulting from asymmetric access to water use. This new problem format, as opposed to commonly used linear (LP) or non-linear programming (NLP) approaches, enables the simultaneous simulation of numerous 'independent optimization' decisions by multiple water users while maintaining physical interdependences based on water use and flow in the river basin. We show that the alternative problem format allows formulating HERBMs that yield more realistic results when comparing different water management institutions. (C) 2013 Elsevier Ltd. All rights reserved.