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From linking to integration of energy system models and computational general equilibrium models – Effects on equilibria and convergence

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  • Helgesen, Per Ivar
  • Tomasgard, Asgeir

Abstract

This paper compares hard-linked and integrated approaches of hybrid top-down and bottom-up models in terms of equilibria and convergence. Four setups where a bottom-up linear programming model is hard-linked with a top-down computable general equilibrium model are implemented. A solution is found by iterating between the two models, until convergence is reached. The same equilibrium solution is found by all hard-linked setups in all problem instances. Next, one integrated model is introduced by extending the computable general equilibrium mixed complementarity model with the Karush-Kuhn-Tucker conditions that represent the bottom-up linear programming model. This integrated model provides the same solutions as the hard-linked models. Also, an alternative integrated model is provided, where the bottom-up model objective is optimized while the top-down model is included as additional constraints. This nonlinear program corresponds to a multi-follower bilevel formulation, with the energy system model as the leader and the general equilibrium players (firms and household) as followers. The Stackelberg equilibrium from this bilevel formulation pareto-dominates the Nash equilibrium from the other model setups in some problem instances, and is identical in the remaining problem instances. Different ways to couple the mathematical models may result in different solutions, because the coupling represents different real-world situations.

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  • Helgesen, Per Ivar & Tomasgard, Asgeir, 2018. "From linking to integration of energy system models and computational general equilibrium models – Effects on equilibria and convergence," Energy, Elsevier, vol. 159(C), pages 1218-1233.
    • Handle: RePEc:eee:energy:v:159:y:2018:i:c:p:1218-1233
    DOI: 10.1016/j.energy.2018.06.146
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    1. Abdulla Kaya & Denes Csala & Sgouris Sgouridis, 2017. "Constant elasticity of substitution functions for energy modeling in general equilibrium integrated assessment models: a critical review and recommendations," Climatic Change, Springer, vol. 145(1), pages 27-40, November.
    2. Kenneth C. Hoffman & Dale W. Jorgenson, 1977. "Economic and Technological Models for Evaluation of Energy Policy," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 444-466, Autumn.
    3. Whalley, John & Zhang, Shunming, 2014. "Parametric persistence of multiple equilibria in an economy directly calibrated to 5 equilibria," Economic Modelling, Elsevier, vol. 41(C), pages 356-364.
    4. Arndt, Channing & Davies, Rob & Gabriel, Sherwin & Makrelov, Konstantin & Merven, Bruno & Hartley, Faaiqa & Thurlow, James, 2016. "A sequential approach to integrated energy modeling in South Africa," Applied Energy, Elsevier, vol. 161(C), pages 591-599.
    5. Powell, Alan A., 1992. "Sato's insight on the relationship between the Frisch 'parameter' and the average elasticity of substitution," Economics Letters, Elsevier, vol. 40(2), pages 173-175, October.
    6. Strachan, Neil & Kannan, Ramachandran, 2008. "Hybrid modelling of long-term carbon reduction scenarios for the UK," Energy Economics, Elsevier, vol. 30(6), pages 2947-2963, November.
    7. Marechal, Kevin, 2007. "The economics of climate change and the change of climate in economics," Energy Policy, Elsevier, vol. 35(10), pages 5181-5194, October.
    8. Krook-Riekkola, Anna & Berg, Charlotte & Ahlgren, Erik O. & Söderholm, Patrik, 2017. "Challenges in top-down and bottom-up soft-linking: Lessons from linking a Swedish energy system model with a CGE model," Energy, Elsevier, vol. 141(C), pages 803-817.
    9. Fortes, Patrícia & Pereira, Rui & Pereira, Alfredo & Seixas, Júlia, 2014. "Integrated technological-economic modeling platform for energy and climate policy analysis," Energy, Elsevier, vol. 73(C), pages 716-730.
    10. Proença, Sara & St. Aubyn, Miguel, 2013. "Hybrid modeling to support energy-climate policy: Effects of feed-in tariffs to promote renewable energy in Portugal," Energy Economics, Elsevier, vol. 38(C), pages 176-185.
    11. Wene, C.-O., 1996. "Energy-economy analysis: Linking the macroeconomic and systems engineering approaches," Energy, Elsevier, vol. 21(9), pages 809-824.
    12. Abrell, Jan & Rausch, Sebastian, 2016. "Cross-country electricity trade, renewable energy and European transmission infrastructure policy," Journal of Environmental Economics and Management, Elsevier, vol. 79(C), pages 87-113.
    13. Frei, Christoph W. & Haldi, Pierre-Andre & Sarlos, Gerard, 2003. "Dynamic formulation of a top-down and bottom-up merging energy policy model," Energy Policy, Elsevier, vol. 31(10), pages 1017-1031, August.
    14. Andreas Schafer and Henry D. Jacoby, 2006. "Experiments with a Hybrid CGE-MARKAL Model," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 171-177.
    15. Mercenier, Jean, 1995. "Nonuniqueness of Solutions in Applied General Equilibrium Models with Scale Economies and Imperfect Competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 161-177, June.
    16. Nico Bauer & Ottmar Edenhofer & Socrates Kypreos, 2008. "Linking energy system and macroeconomic growth models," Computational Management Science, Springer, vol. 5(1), pages 95-117, February.
    17. Dierker, Egbert, 1972. "Two Remarks on the Number of Equilibria of an Economy," Econometrica, Econometric Society, vol. 40(5), pages 951-953, September.
    18. Wing, Ian Sue, 2006. "The synthesis of bottom-up and top-down approaches to climate policy modeling: Electric power technologies and the cost of limiting US CO2 emissions," Energy Policy, Elsevier, vol. 34(18), pages 3847-3869, December.
    19. Jean Charles Hourcade & Mark Jaccard & Chris Bataille & Frédéric Ghersi, 2006. "Hybrid Modeling: New Answers to Old Challenges," Post-Print halshs-00471234, HAL.
    20. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550.
    21. Goldberger, Arthur S. & Gamaletsos, Theodore, 1970. "A cross-country comparison of consumer expenditure patterns," European Economic Review, Elsevier, vol. 1(3), pages 357-400.
    22. Binswanger, Mathias, 2001. "Technological progress and sustainable development: what about the rebound effect?," Ecological Economics, Elsevier, vol. 36(1), pages 119-132, January.
    23. Lluch, Constantino, 1973. "The extended linear expenditure system," European Economic Review, Elsevier, vol. 4(1), pages 21-32, April.
    24. Bohringer, Christoph & Rutherford, Thomas F., 2008. "Combining bottom-up and top-down," Energy Economics, Elsevier, vol. 30(2), pages 574-596, March.
    25. Rausch, Sebastian & Mowers, Matthew, 2014. "Distributional and efficiency impacts of clean and renewable energy standards for electricity," Resource and Energy Economics, Elsevier, vol. 36(2), pages 556-585.
    26. Böhringer, Christoph & Rutherford, Thomos F., 2009. "Integrated assessment of energy policies: Decomposing top-down and bottom-up," Journal of Economic Dynamics and Control, Elsevier, vol. 33(9), pages 1648-1661, September.
    27. Jean-Charles Hourcade, Mark Jaccard, Chris Bataille, and Frederic Ghersi, 2006. "Hybrid Modeling: New Answers to Old Challenges Introduction to the Special Issue of The Energy Journal," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 1-12.
    28. Lanz, Bruno & Rausch, Sebastian, 2011. "General equilibrium, electricity generation technologies and the cost of carbon abatement: A structural sensitivity analysis," Energy Economics, Elsevier, vol. 33(5), pages 1035-1047, September.
    29. John Whalley & Shunming Zhang, 2011. "Tax-induced multiple equilibria," Applied Economics Letters, Taylor & Francis Journals, vol. 18(15), pages 1469-1477.
    30. Sue Wing, Ian, 2008. "The synthesis of bottom-up and top-down approaches to climate policy modeling: Electric power technology detail in a social accounting framework," Energy Economics, Elsevier, vol. 30(2), pages 547-573, March.
    31. Timothy J. Kehoe, 1985. "Multiplicity of Equilibria and Comparative Statics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 119-147.
    32. Helgesen, Per Ivar & Lind, Arne & Ivanova, Olga & Tomasgard, Asgeir, 2018. "Using a hybrid hard-linked model to analyze reduced climate gas emissions from transport," Energy, Elsevier, vol. 156(C), pages 196-212.
    33. Lars Mathiesen, 1985. "Computational Experience in Solving Equilibrium Models by a Sequence of Linear Complementarity Problems," Operations Research, INFORMS, vol. 33(6), pages 1225-1250, December.
    34. Jaffe, Adam B. & Stavins, Robert N., 1994. "The energy-efficiency gap What does it mean?," Energy Policy, Elsevier, vol. 22(10), pages 804-810, October.
    35. Messner, Sabine & Schrattenholzer, Leo, 2000. "MESSAGE–MACRO: linking an energy supply model with a macroeconomic module and solving it iteratively," Energy, Elsevier, vol. 25(3), pages 267-282.
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