Optimal Control of Phosphorus Pollution in Lake Taihu with Wind-induced Nonlinear Feedbacks

DOI

10.2991/lemcs-14.2014.141How to use a DOI?

Keywords

Differential Game; Eutrophication; Asymmetry; Stochastic Dynamics; Feedback Nash Equilibrium

Abstract

We propose a new model of transboundary pollution for Lake Taihu in China. This model takes into account the re-suspension of phosphorus, the main pollutant in shallow lake eutrophication. Wind is identified as the main cause for phophourus re-suspension, thus wind speed, modeled as a stochastic variable, is introduced in pollutant dynamics. Moreover, asymmetry between main polluters, namely Jiangsu and Zhejiang provinces, is considered. Model parameters are estimated based on recent ecological and economic studies of Lake Taihu and its region. Thanks to a technique introduced by Judd et al. (2011) for economic models, we compute the numerical solution of this differential game with stochastic non-linear dynamics. As a result we find the optimal pollution loadings for both provinces. Loading profiles are coherent with intuition: they decrease with pollution concentration and wind speed. Cumulative loadings of both regions are compared with the symmetric case. Finally, we find that in the case of Lake Taihu, policy makers should curve Zhejiang’s incentive to emit by placing a tax on agricultural activities. Revenues generated from those taxes could fund sustainable development policies, thus improving pollution abatement for Lake Taihu.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Gael Bonnardot
PY  - 2014/05
DA  - 2014/05
TI  - Optimal Control of Phosphorus Pollution in Lake Taihu with Wind-induced Nonlinear Feedbacks
BT  - Proceedings of the International Conference on Logistics, Engineering, Management and Computer Science
PB  - Atlantis Press
SP  - 615
EP  - 620
SN  - 1951-6851
UR  - https://doi.org/10.2991/lemcs-14.2014.141
DO  - 10.2991/lemcs-14.2014.141
ID  - Bonnardot2014/05
ER  -