Exploring the bonds and boundaries of water management in a global context

France, Robert

doi:10.1016/j.jclepro.2013.07.004

Cited by 5 publications

(4 citation statements)

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“…We select the real options valuation (ROV) as the capital budgeting technique to deal with the decision making problems. The real options valuation analysis has been widely used to manage the project investment in many fields [12], [15], [2], [13], [28], [6], [19], [10], [29]. However, to our best knowledge, most of the real options analysis references about investment in irrigation technology, such as [22], do not take the expiration into consideration as it reduces the complexity of the problem and simplifies the exercise boundary into a constant.…”

Section: Shuhua Zhang Xinyu Wang and Hua LImentioning

confidence: 99%

“…We remark that (17)-(18) is a penalized variational equation corresponding to (13). The strong form of (17)- (18), which defines the penalized equation approximating (11), is given by…”

Section: 2mentioning

confidence: 99%

“…The notations in Lemma C.1 are used again here.Setting v − = − min(v, 0) and R λ = u − u + [u λ − u ] − , we have u − u λ = R λ − φ, (φ α , [u λ − u ] − ) = Ω [u λ − u ] α + [u λ − u ] − dP ≡ 0, α > 0. (40) Setting v = u − R λ in(13) and in(17), respectively, we get− ∂u ∂t , −R λ + B(u, −R λ ; t) ≥ (f, −R λ ) and − ∂u λ ∂t , R λ + B(u λ , R λ ; t) + λ(φ 1/k , R λ ) = (f, R λ ), which implies − ∂(u λ − u) ∂t , R λ + B(u λ − u, R λ ; t) + λ(φ 1/k , R λ ) ≥ 0.It follows from u ≤ u and φ ≥ 0 that(φ 1/k , R λ ) = (φ 1/k , u − u ) + (φ 1/k , [u λ − u ] − ) = (φ 1/k , u − u ) ≤ 0.Therefore,− ∂(u − u λ ) ∂t , R λ + B(u − u λ , R λ ; t) ≤ 0,which, together with (40), yields− ∂R λ ∂t , R λ + B(R λ , R λ ; t) ≤ − ∂φ(t) ∂t , R λ + B(φ, R λ ; t).…”

mentioning

confidence: 99%

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Modeling and computation of water management by real options

Zhang¹,

Chang²,

Hua³

2018

Journal of Industrial &Amp; Management Optimization

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It becomes increasingly important to manage water and improve the efficiency of irrigation under higher temperatures and irregular precipitation patterns. The choice of investment in water saving technologies and its timing play key roles in improving efficiency of water use. In this paper, we use a real option approach to establish a model to handle future uncertainties about the water price. In addition, to match the practical situation, the expiration of the real option is considered to be finite in our model, such that it is difficult to solve the model. Therefore, we reformulate the problem into a linear parabolic variational inequality (VI) and develop a power penalty method to solve it numerically. Thus, a nonlinear partial differential equation (PDE) is obtained, which is shown to be uniquely solvable and the solution of the nonlinear PDE converges to that of the VI at the rate of O(λ − k 2) with λ being the penalty number. Furthermore, a so-called fitted finite volume method is proposed to solve the nonlinear PDE. Finally, several numerical experiments are performed. It is shown that the subjective discount rate will affect the investment boundary mostly, and the flexibility to suspend operation will enlarge the investment region.

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Section: Shuhua Zhang Xinyu Wang and Hua LImentioning

confidence: 99%

“…We remark that (17)-(18) is a penalized variational equation corresponding to (13). The strong form of (17)- (18), which defines the penalized equation approximating (11), is given by…”

Section: 2mentioning

confidence: 99%

mentioning

confidence: 99%

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Modeling and computation of water management by real options

Zhang¹,

Chang²,

Hua³

2018

Journal of Industrial &Amp; Management Optimization

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“…But the indeterminacy on water, the price will influence irrigators on making decisions where they elect the timing of investment in the Three Gorges Reservoir Area. Therefore, we choose the real options method to manage problems of the decision making [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

An Empirical Study for Real Options of Water Management in the Three Gorges Reservoir Area

Cai

et al. 2021

Sustainability

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This paper investigates an empirical evaluation of water management on agricultural irrigation. To address this problem, a real options model was proposed. This model analysis the choice of investment in water savings. Also, the model discusses a linear complementary problem that can be transformed into the inequalities of parabolic variational. By using a power penalty method, we solved the parabolic variational inequalities. The results depicted that the nonlinear parabolic equations’ solution is converges to the rate of order O(h−k2). A numerical example is given at the end of the paper to demonstrate the theoretical analysis follows from the Three Gorges Reservoir Area.

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Mathematical model as a standard procedure to analyze small and large water distribution networks

Prieto

Murado

Bartlett

et al. 2015

Journal of Cleaner Production

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HIGHLIGHTSA model was developed to simulate domestic water flow> The model was applied to analyze selected domestic areas in Sligo, Ireland> Reliable parameters are generated allowing the analysis of water consumption> The results confirmed the capabilities of this approach identifying water trends> The study provides rigorous criteria to compare and predict water usage . 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 ABSTRACT Currently, more research to implement and monitor cleaner production practices for distribution and sustainable management of natural and alternative water sources to comply with the demands of the different users while preserving water levels are needed. In this paper, a periodic hourlybased model with meaningful parameters has been developed to analyze and forecast water demand as a function of time, thus enabling a better understanding of the consumption pattern and the condition of the pipe network. The model was tested by investigating the daily water consumption from selected categories of users which were isolated from different distribution networks in Sligo, Ireland. The flow data used was obtained in 15-min intervals and averaged in different time periods for analysis. In all cases, the model fittings obtained were highly consistent and all the parameters showed satisfactory confidence intervals (=0.05), thus demonstrating the reliability of this approach. The model provides a quick analysis revealing the regularities of water demand that could benefit water utility managers and researchers: to obtain optimal regulation and pumping schemes; for planning and design purposes; to control unexpected scenarios that can take place during the distribution of water; the performance of water distribution systems; and to locate possible network failures. In addition, the model parameters can be used as standard criteria for water utilities to compare precisely the water demand between different areas, identify complex trends and analyze the pipe network for managing, auditing and monitoring purposes.

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Exploring the bonds and boundaries of water management in a global context

Cited by 5 publications

References 0 publications

Modeling and computation of water management by real options

Modeling and computation of water management by real options

An Empirical Study for Real Options of Water Management in the Three Gorges Reservoir Area

Mathematical model as a standard procedure to analyze small and large water distribution networks

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