New Economic Model of Eutrophication of Shallow Lakes and the Existence of Equivalent Policies

IF 2.7 4区环境科学与生态学 Q3 ENVIRONMENTAL SCIENCES

Environmental Modeling & Assessment Pub Date : 2023-11-08 DOI:10.1007/s10666-023-09940-y

Luis Bayón, Pedro Fortuny Ayuso, José M. Grau, María M. Ruiz

引用次数: 0

Abstract

Abstract The search for Skiba points in infinite-time optimal control problems with several steady states is an active research area. In this paper, we apply the backward integration method and show its power and relative simplicity as a tool for this task. We apply the method for the classical model of the economy shallow lake based on the phosphorous dynamics and explicitly compute the optimal trajectories and the Skiba points. We also suggest a more natural welfare function, which takes into account the finite value of any economic resource, and show, again in an explicit manner, that it also possesses Skiba points.

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浅湖富营养化的新经济模型及等效政策的存在

具有多个稳态的无限时间最优控制问题的Skiba点搜索是一个活跃的研究领域。在本文中，我们应用反向积分法，并展示了它的功能和相对简单的工具，为这项任务。将该方法应用于基于磷动力学的经济浅湖经典模型，明确地计算了最优轨迹和Skiba点。我们还提出了一个更自然的福利函数，它考虑到任何经济资源的有限价值，并再次以明确的方式显示它也具有Skiba点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Environmental Modeling & Assessment 环境科学-环境科学

CiteScore

4.50

自引率

4.20%

发文量

审稿时长

18-36 weeks

期刊介绍： Environmental Modeling & Assessment strives to achieve this by publishing high quality, peer-reviewed papers that may be regarded as either instances of best practice, or as studies that advance the evolution and applicability of the theories and techniques of modeling and assessment. Consequently, Environmental Modeling & Assessment will publish high quality papers on all aspects of environmental problems that contain a significant quantitative modeling or analytic component, interpreted broadly. In particular, we are interested both in detailed scientific models of specific environmental problems and in large scale models of the global environment. We invite models of environmental problems and phenomena that utilise, in an original way, the techniques of ordinary and partial differential equations, simulation, statistics and applied probability, control theory, operations research, mathematical economics, and game theory. Emphasis will be placed on the novelty of the model, the environmental relevance of the problem, and the generic applicability of the techniques used. Generally, papers should be written in a manner that is accessible to a wide interdisciplinary audience.