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Inclusion of Ecological Water Requirements in Optimization of Water Resource Allocation Under Changing Climatic Conditions

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Abstract

Meeting ecological water requirements (EWRs) is important for maintaining watershed system stability in many arid and semi-arid areas. Rainfall–runoff relationships under changing climate conditions could have many adverse effects on EWRs. The inherent uncertainties in water resource management and potential variations in EWRs should be considered to obtain suitable water allocation strategies under climate change. In this study, an integrated approach was proposed through incorporation of copula functions and a Markov Chain Monte Carlo (MCMC) simulation into a chance-constrained programming (CCP) model. The proposed approach had several advantages for water resource allocation under variable climatic conditions with respect to the following: (a) tackling correlated features of rainfall and watershed inflow under climate change based on copula–MCMC simulations, (b) obtaining runoff distributions using the copula sampling method under multiple climate change scenarios, (c) analyzing fluctuations in EWRs based on variable monthly flows and diverse runoff distributions, and (d) obtaining desired water allocation strategies through the developed CCP model with consideration of EWRs and water shortage risk. Application of the developed method to water resource management in the city of Dalian (China) indicated that the EWRs in the watersheds of Dalian would exhibit large variations under changing climatic conditions. Moreover, in comparison with the supply in 2025, an increase in water supply transferred from the Dahuofang Reservoir (Hun River) would be 6942–33,772, 6942–25,472, and 2849–14,259 Mt with risk tolerance levels of 20%, 50%, and 80%, respectively.

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References

  • Acreman M (2016) Environmental flows basics for novices. Wiley Interdisciplinary Rev Water 3:622–628

    Article  Google Scholar 

  • Almazan-Gomez M, Sanchez-Choliz J, Sarasa C (2018) Environmental flow management: an analysis applied to the Ebro River Basin. J Clean Prod 182:838–851

    Article  Google Scholar 

  • Amouzou KA, Lamers JPA, Naab JB, Borgemeister C, Vlek PLG, Becker M (2019) Climate change impact on water- and nitrogen-use efficiencies and yields of maize and sorghum in the northern Benin dry savanna, West Africa. Field Crop Res 235:104–117

    Article  Google Scholar 

  • Benda L, Miller D, Barquin J, McCleary R, Cai T, Ji Y (2016) Building virtual watersheds: a global opportunity to strengthen resource management and conservation. Environ Manage 57:722–739

    Article  Google Scholar 

  • Borgomeo E, Mortazavi-Naeini M, Hall J, Guillod B (2018) Risk, robustness and water resources planning under uncertainty. Earths Future 6:468–487

    Article  Google Scholar 

  • Bracken C, Holman K, Rajagopalan B, Moradkhani H (2018) A Bayesian hierarchical approach to multivariate nonstationary hydrologic frequency analysis. Water Resour Res 54:243–255

    Article  Google Scholar 

  • Brookfield AE, Gnau C (2016) Optimizing water management for irrigation under climate uncertainty: Evaluating operational and structural alternatives in the lower Republican River Basin, Kansas, USA. Water Resour Manage 30:607–622

    Article  Google Scholar 

  • Chen C, Zeng XT, Yu L, Huang GH, Li YP (2020) Planning energy-water nexus systems based on a dual risk aversion optimization method under multiple uncertainties. J Clean Prod 255

  • Chen S, Xu JJ, Li QQ, Tan XZ, Nong XZ (2019) A copula-based interval-bistochastic programming method for regional water allocation under uncertainty. Agric Water Manag 217:154–164

    Article  Google Scholar 

  • Cook C, Bakker K (2012) Water security: Debating an emerging paradigm. Glob Environ Chang 22:94–102

    Article  Google Scholar 

  • Dong W, Zhang Y, Quan X (2020) Health risk assessment of heavy metals and pesticides: a case study in,the main drinking water source in Dalian, China. Chemosphere 242

  • Gaivoronski A, Sechi GM, Zuddas P (2012) Cost/risk balanced management of scarce resources using stochastic programming. Eur J Oper Res 216:214–224

    Article  Google Scholar 

  • Gao Y, Feng Z, Li Y, Li SC (2014) Freshwater ecosystem service footprint model: a model to evaluate regional freshwater sustainable development-a case study in Beijing-Tianjin-Hebei, China. Ecol Ind 39:1–9

    Article  Google Scholar 

  • Ghandehari A, Davary K, Khorasani HO, Vatanparast M, Pourmohamad Y (2020) Assessment of urban water supply options by using fuzzy possibilistic theory. Environ Process 7:949–972

    Article  Google Scholar 

  • Gibbs MS, McInerney D, Humphrey G, Thyer MA, Maier HR, Dandy GC, Kavetski D (2018) State updating and calibration period selection to improve dynamic monthly streamflow forecasts for an environmental flow management application. Hydrol Earth Syst Sci 22:871–887

    Article  Google Scholar 

  • Giuliani M, Castelletti A (2016) Is robustness really robust? How different definitions of robustness impact decision-making under climate change. Clim Change 135:409–424

    Article  Google Scholar 

  • Guo AJ, Chang JX, Liu DF, Wang YM, Huang Q, Li YY (2017) Variations in the precipitation-runoff relationship of the Weihe River Basin. Hydrol Res 48:295–310

    Article  Google Scholar 

  • Haghighi AT, Fazel N, Hekmatzadeh AA, Klove B (2018) Analysis of effective environmental flow release strategies for Lake Urmia restoration. Water Resour Manage 32:3595–3609

    Article  Google Scholar 

  • He S, Yin XA, Yu CX, Xu ZH, Yang ZF (2018) Quantifying parameter uncertainty in reservoir operation associated with environmental flow management. J Clean Prod 176:1271–1282

    Article  Google Scholar 

  • Huskova I, Matrosov ES, Harou JJ, Kasprzyk JR, Lambert C (2016) Screening robust water infrastructure investments and their trade-offs under global change: a London example. Glob Environ Chang-Hum Pol Dimens 41:216–227

    Article  Google Scholar 

  • Ji D, Wang L, Feng J, Wu Q, Cheng H, Zhang Q, Yang J, Dong W, Dai Y, Gong D, Zhang RH, Wang X, Liu J, Moore JC, Chen D, Zhou M (2014) Description and basic evaluation of Beijing Normal University Earth System Model (BNU-ESM) version 1. Geosci Model Dev 7(5):2039–2064

    Article  Google Scholar 

  • Kong XM, Huang GH, Fan YR, Li YP (2015) Maximum entropy-Gumbel-Hougaard copula method for simulation of monthly streamflow in Xiangxi river, China. Stoch Env Res Risk Assess 29:833–846

    Article  Google Scholar 

  • Lei XH, Tan QF, Wang X, Wang H, Wen X, Wang C, Zhang JW (2018) Stochastic optimal operation of reservoirs based on copula functions. J Hydrol 557:265–275

    Article  Google Scholar 

  • Ling HB, Zhang P, Xu HL, Zhang GP (2016) Determining the ecological water allocation in a hyper-arid catchment with increasing competition for water resources. Glob Planet Chang 145:143–152

    Article  Google Scholar 

  • Liu DL, Zuo H (2012) Statistical downscaling of daily climate variables for climate change impact assessment over New South Wales, Australia. Clim Chang 115:629–666

    Article  Google Scholar 

  • Liu J, Li YP, Huang GH, Zhuang XW, Fu HY (2017) Assessment of uncertainty effects on crop planning and irrigation water supply using a Monte Carlo simulation based dual-interval stochastic programming method. J Clean Prod 149:945–967

    Article  Google Scholar 

  • Lobanova A, Liersch S, Tabara JD, Koch H, Hattermann FF, Krysanova V (2017) Harmonizing human-hydrological system under climate change: a scenario-based approach for the case of the headwaters of the Tagus River. J Hydrol 548:436–447

    Article  Google Scholar 

  • Lv JP, Li YP, Sun J (2018) Monte Carlo simulation based interval chance-constrained programming for regional ecosystem management: a case study of Zhuhai, China. Ecol Ind 85:214–228

    Article  Google Scholar 

  • Mayer A, Winkler R, Fry L (2014) Classification of watersheds into integrated social and biophysical indicators with clustering analysis. Ecol Ind 45:340–349

    Article  Google Scholar 

  • Meng N, Xu Y, Huang G (2019) A stochastic multi-objective optimization model for renewable energy structure adjustment management - a case study for the city of Dalian, China. Ecol Ind 97:476–485

    Article  Google Scholar 

  • Miao C, Sun Q, Duan Q, Wang Y (2016) Joint analysis of changes in temperature and precipitation on the Loess Plateau during the period 1961–2011. Clim Dyn 47:3221–3234

    Article  Google Scholar 

  • Ministry of Water Resources of China (MWR) (2005–2014) Hydrological data of Liaohe River Basin, Annual hyrological report of China, Beijing (in Chinese).

  • Nasr-Azadani F, Khan R, Rahimikollu J, Unnikrishnan A, Akanda A, Alam M, Huq A, Jutla A, Colwell R (2017) Hydroclimatic sustainability assessment of changing climate on cholera in the Ganges-Brahmaputra basin. Adv Water Resour 108:332–344

    Article  Google Scholar 

  • National Bureau of Statistics (NBS) (2020) China Statistical Yearbook. China Statistics Press, Beijing, China (in Chinese)

    Google Scholar 

  • Nguyen-Huy T, Deo RC, An-Vo DA, Mushtaq S, Khan S (2017) Copula-statistical precipitation forecasting model in Australia’s agro-ecological zones. Agric Water Manag 191:153–172

    Article  Google Scholar 

  • Nourani V, Baghanam AH, Gokcekus H (2018) Data-driven ensemble model to statistically downscale rainfall using nonlinear predictor screening approach. J Hydrol 565:538–551

    Article  Google Scholar 

  • O’Brien GC, Dickens C, Hines E, Wepener V, Stassen R, Quayle L, Fouchy K, MacKenzie J, Graham PM, Landis WG (2018) A regional-scale ecological risk framework for environmental flow evaluations. Hydrol Earth Syst Sci 22:957–975

    Article  Google Scholar 

  • Pal S, Talukdar S (2020) Modelling seasonal flow regime and environmental flow in Punarbhaba river of India and Bangladesh. J Clean Prod 252

  • Pastor AV, Ludwig F, Biemans H, Hoff H, Kabat P (2014) Accounting for environmental flow requirements in global water assessments. Hydrol Earth Syst Sci 18:5041–5059

    Article  Google Scholar 

  • Prasad PR, Reddy N, Prasad N, Raju DN (2015) Integrated water resources assessment and management in a small watershed - a geomorphic approach. Hydrol Res 46:180–191

    Article  Google Scholar 

  • Psomas A, Panagopoulos Y, Stefanidis K, Mimikou M (2017) Assessing future water supply and demand in a water-stressed catchment after environmental restrictions on abstractions. J Water Supply Res Technol AQUA 66:442–453

    Google Scholar 

  • Ren K, Huang SZ, Huang Q, Wang H, Leng GY, Fang W, Li P (2020) Assessing the reliability, resilience and vulnerability of water supply system under multiple uncertain sources. J Clean Prod 252

  • Riahi K, Rao S, Krey V, Cho C, Chirkov V, Fischer G, Kindermann G, Nakicenovic N, Rafaj P (2011) RCP 8.5—a scenario of comparatively high greenhouse gas emissions. Clim Chang 109:33

  • Sadegh M, Ragno E, AghaKouchak A (2017) Multivariate Copula Analysis Toolbox (MvCAT): Describing dependence and underlying uncertainty using a Bayesian framework. Water Resour Res 53:5166–5183

    Article  Google Scholar 

  • Schneider C, Florke M, De Stefano L, Petersen-Perlman JD (2017) Hydrological threats to riparian wetlands of international importance - a global quantitative and qualitative analysis. Hydrol Earth Syst Sci 21:2799–2815

    Article  Google Scholar 

  • Shi X, Chen X, Dai Y, Hu G (2020) Climate sensitivity and feedbacks of BCC-CSM to idealized CO(2)Forcing from CMIP5 to CMIP6. J Meteor Res 34(4):865–878

    Article  Google Scholar 

  • Sklar A (1959) Fonctions de répartition à n dimensions et leursmarges. InstitutStatistique de l’Université de Paris Paris

  • Steffen W, Richardson K, Rockström J, Cornell SE, Fetzer I, Bennett EM, Biggs R, Carpenter SR, de Vries W, de Wit CA, Folke C, Gerten D, Heinke J, Mace GM, Persson LM, Ramanathan V, Reyers B, Sörlin S (2015) Planetary boundaries: Guiding human development on a changing planet. Science 347:1259855

    Article  Google Scholar 

  • Tan Q, Huang G, Cai YP, Yang ZF (2016) A non-probabilistic programming approach enabling risk-aversion analysis for supporting sustainable watershed development. J Clean Prod 112:4771–4788

    Article  Google Scholar 

  • Tarebari H, Javid AH, Mirbagheri SA, Fahmi H (2018) Multi-objective surface water resource management considering conflict resolution and utility function optimization. Water Resour Manage 32:4487–4509

    Article  Google Scholar 

  • Thomson AM, Calvin KV, Smith SJ, Kyle GP, Volke A, Patel P, Delgado-Arias S, Bond-Lamberty B, Wise MA, Clarke LE, Edmonds JA (2011) RCP4.5: a pathway for stabilization of radiative forcing by 2100. Clim Chang 109:77

  • Trindade BC, Reed PM, Characklis GW (2019) Deeply uncertain pathways: Integrated multi-city regional water supply infrastructure investment and portfolio management. Adv Water Resour 134:103442

  • Veettil AV, Mishra AK (2016) Water security assessment using blue and green water footprint concepts. J Hydrol 542:589–602

    Article  Google Scholar 

  • Vergni L, Todisco F, Mannocchi F (2015) Analysis of agricultural drought characteristics through a two-dimensional copula. Water Resour Manage 29:2819–2835

    Article  Google Scholar 

  • Volchak AA, Bulskaya IV (2017) Water resources of Belarus under changing climate conditions: Current status and prognosis. Environ Process 4:125–136

    Article  Google Scholar 

  • Walker WE, Loucks DP, Carr G (2015) Social responses to water management decisions. Environ Process 2:485–509

    Article  Google Scholar 

  • Wang B, Cai Y, Yin XA, Tan Q, Hao Y (2017a) An integrated approach of system dynamics, orthogonal experimental design and inexact optimization for supporting water resources management under uncertainty. Water Resour Manage 31:1665–1694

    Article  Google Scholar 

  • Wang S, Huang GH (2014) An integrated approach for water resources decision making under interactive and compound uncertainties. Omega-Int J Manage Sci 44:32–40

    Article  Google Scholar 

  • Wang X, Zhang J, Shahid S, Bi S, Elmahdi A, Liao C, Li Y (2018) Forecasting industrial water demand in Huaihe River Basin due to environmental changes. Mitig Adapt Strat Glob Change 23(4):469–483

    Article  Google Scholar 

  • Wang YY, Huang GH, Wang S (2017b) CVaR-based factorial stochastic optimization of water resources systems with correlated uncertainties. Stoch Env Res Risk Assess 31:1543–1553

    Article  Google Scholar 

  • Watson A, Miller J, Fink M, Kralisch S, Fleischer M, de Clercq W (2019) Distributive rainfall-runoff modelling to understand runoff-to-baseflow proportioning and its impact on the determination of reserve requirements of the Verlorenvlei estuarine lake, West Coast, South Africa. Hydrol Earth Syst Sci 23:2679–2697

    Article  Google Scholar 

  • Whateley S, Brown C (2016) Assessing the relative effects of emissions, climate means, and variability on large water supply systems. Geophys Res Lett 43:11329–11338

    Article  Google Scholar 

  • Wu CB, Huang GH, Li W, Xie YL, Xu Y (2015) Multistage stochastic inexact chance-constraint programming for an integrated biomass-municipal solid waste power supply management under uncertainty. Renew Sustain Energy Rev 41:1244–1254

    Article  Google Scholar 

  • Wu T, Lu Y, Fang Y, Xin X, Li L, Li W, Jie W, Zhang J, Liu Y, Zhang L, Zhang F, Zhang Y, Wu F, Li J, Chu M, Wang Z, Shi X, Liu X, Wei M, Huang A, Zhang Y, Liu X (2019) The Beijing Climate Center Climate System Model (BCC-CSM): the main progress from CMIP5 to CMIP6. Geosci Model Dev 12:1573–1600

    Article  Google Scholar 

  • Wu Y, Zhong PA, Xu B, Zhu F, Fu J (2018) Evaluation of global climate model on performances of precipitation simulation and prediction in the Huaihe River basin. Theoret Appl Climatol 133(1–2):191–204

    Article  Google Scholar 

  • Xie C, Huang B, Jim CY, Han W, Liu D (2021) Predicting differential habitat suitability of Rhodomyrtus tomentosa under current and future climate scenarios in China. For Ecol Manage 501:119696

  • Xie YL, Huang GH, Li W, Li YF, Cui JX, Sun XW (2016) A risk-based balance inexact optimization model for water quality management with sustainable wetland system development-a case study of North China. Wetlands 36:S205–S222

    Article  Google Scholar 

  • Xie YL, Xia DH, Huang GH, Li W, Xu Y (2017) A multistage stochastic robust optimization model with fuzzy probability distribution for water supply management under uncertainty. Stoch Env Res Risk Assess 31:125–143

    Article  Google Scholar 

  • Xu B, Zhong PA, Zambon RC, Zhao YF, Yeh WWG (2015) Scenario tree reduction in stochastic programming with recourse for hydropower operations. Water Resour Res 51:6359–6380

    Article  Google Scholar 

  • Xu M, Li C, Wang X, Cai Y, Yue W (2018) Optimal water utilization and allocation in industrial sectors based on water footprint accounting in Dalian City, China. J Clean Prod 176:1283–1291

    Article  Google Scholar 

  • Xu TF, Valocchi AJ (2015) A Bayesian approach to improved calibration and prediction of groundwater models with structural error. Water Resour Res 51:9290–9311

    Article  Google Scholar 

  • Yang S, Tian D, Chou J, Wei T, Zhu X, Dong W (2021) Reversibility of historical and future climate change with a complex earth system model. Theoret Appl Climatol 146:1061–1068

    Article  Google Scholar 

  • Yin J, Guo S, He S, Guo J, Hong X, Liu Z (2018) A copula-based analysis of projected climate changes to bivariate flood quantiles. J Hydrol 566:23–42

    Article  Google Scholar 

  • Yu L, Li YP, Huang GH, Fan YR, Nie S (2018) A copula-based flexible-stochastic programming method for planning regional energy system under multiple uncertainties: a case study of the urban agglomeration of Beijing and Tianjin. Appl Energy 210:60–74

    Article  Google Scholar 

  • Zeng XT, Huang GH, Zhang JL, Li YP, You L, Chen Y, Hao PP (2017) A stochastic rough-approximation water management model for supporting sustainable water-environment strategies in an irrigation district of arid region. Stoch Env Res Risk Assess 31:2183–2200

    Article  Google Scholar 

  • Zhang DD, Yan DH, Lu F, Wang YC, Feng J (2015) Copula-based risk assessment of drought in Yunnan province, China. Nat Hazards 75:2199–2220

    Article  Google Scholar 

  • Zhang HB, Singh VP, Zhang Q, Gu L, Sun WB (2016a) Variation in ecological flow regimes and their response to dams in the upper Yellow River basin. Environ Earth Sci 75:938

    Article  Google Scholar 

  • Zhang RR, Chen X, Cheng QB, Zhang ZC, Shi P (2016b) Joint probability of precipitation and reservoir storage for drought estimation in the headwater basin of the Huaihe River, China. Stoch Env Res Risk Assess 30:1641–1657

    Article  Google Scholar 

  • Zhang W, Liu P, Wang H, Chen J, Lei XH, Feng MY (2017) Reservoir adaptive operating rules based on both of historical streamflow and future projections. J Hydrol 553:691–707

    Article  Google Scholar 

  • Zhang H, Zhou G, Liu DL, Wang B, Xiao D, He L (2019a) Climate-associated rice yield change in the Northeast China Plain: a simulation analysis based on CMIP5 multi-model ensemble projection. Sci Total Environ 666:126–138

    Article  Google Scholar 

  • Zhang JL, Li YP, Zeng XT, Huang GH, Li Y, Zhu Y, Kong FL, Xi M, Liu J (2019b) Effluent trading planning and its application in water quality management: a factor-interaction perspective. Environ Res 168:286–305

    Article  Google Scholar 

  • Zhang CL, Li XM, Guo P, Huo ZL (2020a) An improved interval-based fuzzy credibility-constrained programming approach for supporting optimal irrigation water management under uncertainty. Agric Water Manage 238:106185

  • Zhang L, Wang Y, Tan F, Yang Y, Wu X, Wang W, Liu D (2020b) Tidal variability of polycyclic aromatic hydrocarbons and organophosphate esters in the coastal seawater of Dalian, China. Sci Total Environ 708:134441

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Acknowledgements

This work was supported by the National Key Research Program of China (No.2016YFC0502800), the Key-Area Research and Development Program of Guangdong Province (2020B1111380003), the National Natural Science Foundation of China (Nos. U20A20117,41801203, and 51809045), National Social Science Grant (20BGL190) and the Academician Workstation Project of Dongguan (No. DGYSZ201806). The authors much appreciate the Editors and the anonymous reviewers for their constructive comments and suggestions which are extremely helpful for improving the paper.

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All authors contributed to and collaborated in this research. Wencong Yue, Meirong Su, and Yanpeng Cai developed the methods. Wencong Yue, Meng Xu, Qiangqiang Rong, and Chao Xu provided the case study for application of the methods. Zhenkun Tan, Zhongqi Liu, Xuming Jiang, and Zhixin Su collected and analysed the data.

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Correspondence to Meirong Su or Yanpeng Cai.

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Yue, W., Liu, Z., Su, M. et al. Inclusion of Ecological Water Requirements in Optimization of Water Resource Allocation Under Changing Climatic Conditions. Water Resour Manage 36, 551–570 (2022). https://doi.org/10.1007/s11269-021-03039-3

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