Technical Papers
Feb 6, 2018

Flood Protection Cost Allocation Using Cooperative Game Theory for Adapting Infrastructure to Climate Change

Publication: Journal of Water Resources Planning and Management
Volume 144, Issue 4

Abstract

The adaptation of infrastructure to climate change has benefits in the form of reduced disaster damage within the associated area. The beneficiaries of this adaptation are parties who are motivated to take adaptation actions and share the cost of adaptation. However, a standard for investment cost allocation has not been established. This study suggests a framework for allocating the adaptation cost among participants based on cooperative game theory. Within the game theory, the Shapley value is used for cost allocation based on an estimation of adaptation benefits and cost. To demonstrate the framework, a case study was conducted using an underground floodway project in Seoul, South Korea with six participants. The allocated cost decreases for participants who contribute more to saving the construction cost, whereas it increases for those who benefit more from flood damage prevention. In addition, geographic advantages in cooperation among players promote the chances of reducing the construction cost. This study is expected to assist decision makers in developing an agreement for financing an adaptation project through a rational cost allocation process.

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Acknowledgments

This research was supported by grants from Infrastructure and transportation technology promotion research Program funded by Ministry of Land, Infrastructure and Transport (MOLIT) of the Korean government and Korea Agency for Infrastructure Technology Advancement (KAIA) (17CTAP-C133290-01) and by National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2011-0030040).

References

Abdullah, K. (2004). “Stormwater Management and Road Tunnel (SMART) a lateral approach to flood mitigation works.” ⟨http://www.smarttunnel.com.my/construction/images/news/special/SR02.pdf⟩ (Feb. 22, 2017).
Apel, H., Thieken, A. H., Merz, B., and Blöschl, G. (2006). “A probabilistic modelling system for assessing flood risks.” Nat. Hazard., 38(1–2), 79–100.
Asgari, S., Afshar, A., and Madani, K. (2014). “Cooperative game theoretic framework for joint resource management in construction.” J. Constr. Eng. Manage., 04013066.
Bhaduri, A., and Liebe, J. (2013). “Cooperation in transboundary water sharing with issue linkage: Game-theoretical case study in the Volta Basin.” J. Water Resour. Plann. Manage., 235–245.
Büchele, B., et al. (2006). “Flood-risk mapping: Contributions towards an enhanced assessment of extreme events and associated risks.” Nat. Hazard. Earth Syst. Sci., 6(4), 485–503.
Cardona, O. D., et al. (2010). “Comprehensive approach for probabilistic risk assessment (CAPRA): International initiative for disaster risk management effectiveness.” Int. Symp. on Reliability Engineering and Risk Management, International Association for Structural Safety and Reliability, Vienna, Austria, 1–10.
City of Osaka. (2012). “Flood control measures in Osaka City.” ⟨http://www.owesa.jp/topics/pdf/2012-11-26_fcm_in_osaka_city.pdf⟩ (Dec. 7, 2016).
Cox, D. R. (1958). “The regression analysis of binary sequences.” J. R. Stat. Soc. Ser. B, 20(2), 215–242.
Davis, S. A. (1985). “Business depth-damage analysis procedures.”, U.S. Army Corps of Engineers, Ft. Belvoir, VA.
Dinar, A., and Howitt, R. E. (1997). “Mechanisms for allocation of environmental control cost: Empirical tests of acceptability and stability.” J. Environ. Manage., 49(2), 183–203.
Dinar, A., Ratner, A., and Yaron, D. (1992). “Evaluating cooperative game theory in water resources.” Theory Decis., 32(1), 1–20.
Driessen, T. S. H., and Tijs, S. H. (1985). “The cost gap method and other cost allocation methods for multipurpose water projects.” Water Resour. Res., 21(10), 1469–1475.
Fortier, C., and Mailhot, A. (2015). “Climate change impact on combined sewer overflows.” J. Water Resour. Plann. Manage., 04014073.
Gately, D. (1974). “Sharing the gains from regional cooperation: A game theoretic application to planning investment in electric power.” Int. Econ. Rev., 15(1), 195–208.
GEC (Global Environment Centre). (2016). “Sewage works in Osaka, Japan.” ⟨http://nett21.gec.jp/GESAP/themes/themes4_4_2.html⟩ (Dec. 7, 2016).
Giglio, R. J., and Wrightington, R. (1972). “Methods for apportioning costs among participants in regional systems.” Water Resour. Res., 8(5), 1133–1144.
Hallegatte, S. (2009). “Strategies to adapt to an uncertain climate change.” Global Environ. Change, 19(2), 240–247.
Huang, Z., Zhou, J., Song, L., Lu, Y., and Zhang, Y. (2010). “Flood disaster loss comprehensive evaluation model based on optimization support vector machine.” Expert Syst. Appl., 37(5), 3810–3814.
IPCC (Intergovernmental Panel on Climate Change). (2013). “The physical science basis.” Contribution of Working Group I to the Fifth Assessment Rep. of the Intergovernmental Panel on Climate Change, Geneva.
Karamouz, M., Abesi, O., Moridi, A., and Ahmadi, A. (2009). “Development of optimization schemes for floodplain management: A case study.” Water Resour. Manage., 23(9), 1743–1761.
Kirshen, P., Caputo, L., Vogel, R. M., Mathisen, P., Rosner, A., and Renaud, T. (2015). “Adapting urban infrastructure to climate change: A drainage case study.” J. Water Resour. Plann. Manage., 04014064.
Kollat, J. B., Kasprzyk, J. R., Thomas, W. O., Jr., Miller, A. C., and Divoky, D. (2012). “Estimating the impacts of climate change and population growth on flood discharges in the United States.” J. Water Resour. Plann. Manage., 442–452.
Koo, D. H. D., Jung, J. K., and Lee, W. (2012). “Sustainability applications for storm drainage systems minimizing adverse impacts of global climate change.” Proc., Int. Conf. on Pipelines and Trenchless Technology, ASCE, Reston, VA.
Korean Meteorological Administration. (2012). “Climate change outlook report of Korea.” ⟨http://www.climate.go.kr/home/cc_data/2013/korea_climate/13-0311_korea_climate.pdf⟩ (Feb. 22, 2017).
Korean Meteorological Administration. (2015). “Climate database portal.” ⟨https://data.kma.go.kr/data/grnd/selectAwsList.do?pgmNo=35⟩ (Feb. 22, 2017).
Kronaveter, L., and Shamir, U. (2009). “Negotiation support for cooperative allocation of a shared water resource: Methodology.” J. Water Resour. Plann. Manage., 60–69.
Madani, K. (2011). “Hydropower licensing and climate change: Insights from cooperative game theory.” Adv. Water Resour., 34(2), 174–183.
Mailhot, A., and Duchesne, S. (2010). “Design criteria of urban drainage infrastructures under climate change.” J. Water Resour. Plann. Manage., 201–208.
McCullagh, P. (1980). “Regression models for ordinal data.” J. R. Stat. Soc. Ser. B, 42(2), 109–142.
Merz, B., Kreibich, H., Schwarze, R., and Thieken, A. (2010). “Review article ‘Assessment of economic flood damage’.” Nat. Hazard. Earth Syst. Sci., 10(8), 1697–1724.
Ministry of Public Safety and Security. (2015). “Statistical yearbook of natural disaster.” ⟨http://www.mpss.go.kr/home/policy/statistics/statisticsData/⟩ (Feb. 22, 2017).
Nash, J. (1951). “Non-cooperative games.” Ann. Math., 54(2), 286–295.
Newnan, D. G., Eschenbach, T., and Lavelle, J. P. (2004). Engineering economic analysis, Oxford University Press, New York.
Panzar, J. C., and Willig, R. D. (1977). “Economies of scale in multi-output production.” Q. J. Econ., 91(3), 481–493.
Parrachino, I., Dinar, A., and Patrone, F. (2006). Cooperative game theory and its application to natural, environmental, and water resource issues: 3. Application to water resources, World Bank, Washington, DC.
Parry, M. L. (2009). Assessing the costs of adaptation to climate change: A review of the UNFCCC and other recent estimates, International Institute for Environment and Development, London.
Rive, N., Torvanger, A., and Fuglestvedt, J. S. (2006). “Climate agreements based on responsibility for global warming: Periodic updating, policy choices, and regional costs.” Global Environ. Change, 16(2), 182–194.
Rogers, P. (1969). “A game theory approach to the problems of international river basin.” Water Resour. Res., 5(4), 749–760.
Rogers, P. (1993). “The value of cooperation in resolving international river basin disputes.” Nat. Resour. Forum, 17(2), 117–131.
Seoul Metropolitan Government. (2012). “2020 Seoul metropolitan government sewerage maintenance basic plan.” Seoul.
Seoul Metropolitan Government. (2015). “Seoul open data plaza.” ⟨http://data.seoul.go.kr/⟩ (Feb. 22, 2017).
Shapley, L. S. (1988). “A value for n-person games.” The Shapley value, Princeton University Press, Princeton, NJ, 31–40.
Spyropoulos, M. T., et al. (2015). “Complete TARP status report.” Metropolitan water reclamation district of greater Chicago, Chicago.
Statistics Korea. (2015). “Korean statistical information service.” ⟨http://kosis.kr/⟩ (Feb. 22, 2017).
Straffin, P. D., and Heaney, J. P. (1981). “Game theory and the Tennessee Valley Authority.” Int. J. Game Theory, 10(1), 35–43.
Suzuki, M., and Nakayama, M. (1976). “The cost assignment of the cooperative water resource development: A game theoretical approach.” Manage. Sci., 22(10), 1081–1086.
Teasley, R. L., and McKinney, D. C. (2011). “Calculating the benefits of transboundary river basin cooperation: Syr Darya basin.” J. Water Resour. Plann. Manage., 481–490.
Tisdell, J. G., and Harrison, S. R. (1992). “Estimating an optimal distribution of water entitlements.” Water Resour. Res., 28(12), 3111–3117.
UNFCCC (United Nations Framework Convention on Climate Change). (2007). Investment and financial flows to address climate change, Bonn, Germany.
UNFCCC (United Nations Framework Convention on Climate Change). (2015). “Adoption of the Paris agreement.” United Nations Office, Geneva, 32.
Von Neumann, J., and Morgenstern, O. (1944). Theory of games and economic behavior, Princeton University Press, Princeton, NJ.
Wang, L., Fang, L., and Hipel, K. (2003). “Water resources allocation: A cooperative game theoretic approach.” J. Environ. Inf., 2(2), 11–22.
Wernstedt, K., and Carlet, F. (2014). “Climate change, urban development, and storm water: Perspectives from the field.” J. Water Resour. Plann. Manage., 543–552.
Wobus, C., Lawson, M., Jones, R., Smith, J., and Martinich, J. (2014). “Estimating monetary damages from flooding in the United States under a changing climate.” J. Flood Risk Manage., 7(3), 217–229.
Yang, Y. E., Ray, P. A., Brown, C. M., Khalil, A. F., and Winston, H. Y. (2015). “Estimation of flood damage functions for river basin planning: A case study in Bangladesh.” Nat. Hazard., 75(3), 2773–2791.
Yazdi, J., and Neyshabouri, S. S. (2012). “Optimal design of flood-control multi-reservoir system on a watershed scale.” Nat. Hazard., 63(2), 629–646.
Young, H. P., Okada, N., and Hashimoto, T. (1982). “Cost allocation in water resources development.” Water Resour. Res., 18(3), 463–475.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 144Issue 4April 2018

History

Received: Feb 22, 2017
Accepted: Oct 9, 2017
Published online: Feb 6, 2018
Published in print: Apr 1, 2018
Discussion open until: Jul 6, 2018

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Authors

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Hoyoung Jeong [email protected]
Graduate Research Assistant, School of Civil and Environmental Engineering, Yonsei Univ., Seoul 03722, Korea. E-mail: [email protected]
Graduate Research Assistant, School of Civil and Environmental Engineering, Yonsei Univ., Seoul 03722, Korea. E-mail: [email protected]
Hyoungkwan Kim [email protected]
Professor, School of Civil and Environmental Engineering, Yonsei Univ., Seoul 03722, Korea (corresponding author). E-mail: [email protected]

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