An Empirical Study for Transboundary Pollution of Three Gorges Reservoir Area with Emission Permits Trading

Lu, Zuliang; Feng, Yuming; Zhang, Shuhua; Li, Lin; Cao, Longzhou

doi:10.1007/s11063-017-9769-1

Cited by 4 publications

(1 citation statement)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Both analytical and numerical approaches have been employed for solving HJB equations. In the research areas of environment and ecology, HJB equations are modern mathematical tools for effective system management . On river management, very recently, some progresses based on stochastic control have been made for cost‐effective management of benthic algae population in dam downstream with mathematical and numerical approaches .…”

Section: Introductionmentioning

confidence: 99%

Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management

Yoshioka

2019

Optim Control Appl Methods

View full text Add to dashboard Cite

An optimization problem of controlling a dam installed in a river is analyzed based on a stochastic control formalism of a diffusion process under model ambiguity: a new mathematical approach to this issue. The diffusion process is a pathwise unique solution to a water balance equation considering the inflow, outflow, water loss in the reservoir, and direct rainfall. Finding the optimal reservoir operation policy reduces to solving a degenerate parabolic partial differential equation: a Hamilton-Jacobi-Bellman-Isaacs equation. A monotone finite difference scheme is constructed for discretization of the equation, successfully generating nonoscillatory and reasonably accurate numerical solutions. Stability analysis of the resulting water balance dynamics is finally carried out for both environmentally friendly and not friendly reservoir operations. KEYWORDS finite difference scheme, Hamilton-Jacobi-Bellman-Isaacs equation, reservoir operation, stochastic control, viscosity solution INTRODUCTIONThis paper contributes to providing a mathematical framework for modeling and control of reservoirs created in rivers.Since the problem has an engineering background, it is first presented, and then, the issues to be addressed and our contributions are explained.Many rivers have dams serving as central infrastructures to supply essential water resources for human lives. 1-3 The stored water in the reservoir created by a dam is utilized for multiple purposes, such as drinking water, irrigation, and hydropower generation. 4 Several dams are used for flood mitigation as well. 5,6 On the other hand, controlling a dam critically affects its downstream river environment because the original flow regime is altered. 7-9 Sediment transport and attached algae population dynamics in dam downstream experience significant changes because dams trap sediment and the algae growth is highly flow-dependent. 10 Dam operation is thus desired to be environmentally friendly such that its impacts on the downstream are minimized, while it should be fit-for-purpose at the same time.Management of environment and ecology in rivers has been a long-standing engineering problem, 11-13 and mathematical tools and concepts for their modeling, analysis, and control are still developing. Several researchers considered river management problems based on stochastic process models such as stochastic differential equations (SDEs) 14 that can naturally consider stochasticity involved in environmental and ecological processes. 15 Interactions between aquatic species, such as riparian vegetation and fishes, and river discharges have been described with SDEs. 16 Miyamoto and Kimura 17 analyzed seedling, growth, and mortality dynamics of riparian trees subject to stochastic flood disturbances. Vesipa et al 18 764

show abstract

Section: Introductionmentioning

confidence: 99%

Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management

Yoshioka

2019

Optim Control Appl Methods

View full text Add to dashboard Cite

show abstract

Stochastic Control of Dam Discharges

Yoshioka

2021

Wiley StatsRef: Statistics Reference Online

View full text Add to dashboard Cite

Dam is a dynamical system receiving stochastic inflows while releasing controlled outflows. Its optimal control requires considering a state constraint on the stored water volume and should use an objective function considering both human activities and downstream environmental management. In addition, the system dynamics are not always known exactly. We briefly explain a robust modeling framework of dam discharges based on a dynamic programming approach and constrained viscosity solutions with a demonstrative computational example. We focus on a single problem rather than reviewing diverse examples because it has key features that stochastic control in real applications encounters.

show abstract

A differential game analysis of multi-regional coalition for transboundary pollution problems

Cai²,

Xu³

et al. 2022

Ecological Indicators

View full text Add to dashboard Cite

An Empirical Study for Transboundary Pollution of Three Gorges Reservoir Area with Emission Permits Trading

Cited by 4 publications

References 30 publications

Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management

Modeling stochastic operation of reservoir under ambiguity with an emphasis on river management

Stochastic Control of Dam Discharges

A differential game analysis of multi-regional coalition for transboundary pollution problems

Contact Info

Product

Resources

About