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Endogenous Investment Decisions in Natural Gas Equilibrium Models with Logarithmic Cost Functions

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  • Daniel Huppmann

Abstract

The liberalisation of the natural gas markets and the importance of natural gas as a transition fuel to a low-carbon economy have led to the development of several large-scale equilibrium models in the last decade. These models combine long-term market equilibria and investments in infrastructure while accounting for market power by certain suppliers. They are widely used to simulate market outcomes given different scenarios of demand and supply development, environmental regulations and investment options. In order to capture the specific characteristics of natural gas production, most of these models apply a logarithmic production cost function. However, no model has so far combined this cost function type with endogenous investment decisions in production capacity. Given the importance of capacity constraints in the determination of the natural gas supply, this is a serious shortcoming of the current literature. This paper provides a proof that combining endogenous investment decisions and a logarithmic cost function yields indeed a convex minimization problem, paving the way for an important extension of current state-of-the-art equilibrium models.

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Bibliographic Info

Paper provided by DIW Berlin, German Institute for Economic Research in its series Discussion Papers of DIW Berlin with number 1253.

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Length: 9 p.
Date of creation: 2012
Date of revision:
Handle: RePEc:diw:diwwpp:dp1253

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Keywords: Natural gas; equilibrium model; endogenous investment; capacity expansion; logarithmic cost function;

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References

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  1. Ibrahim Abada & Steven Gabriel & Vincent Briat & Olivier Massol, 2013. "A Generalized Nash–Cournot Model for the Northwestern European Natural Gas Markets with a Fuel Substitution Demand Function: The GaMMES Model," Networks and Spatial Economics, Springer, vol. 13(1), pages 1-42, March.
  2. Gabriel, Steven A. & Zhuang, Jifang & Egging, Ruud, 2009. "Solving stochastic complementarity problems in energy market modeling using scenario reduction," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1028-1040, September.
  3. Ferris, Michael C. & Munson, Todd S., 2000. "Complementarity problems in GAMS and the PATH solver," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 165-188, February.
  4. Ruud Egging & Franziska Holz & Steven A. Gabriel, 2009. "The World Gas Model: A Multi-Period Mixed Complementarity Model for the Global Natural Gas Market," Discussion Papers of DIW Berlin 959, DIW Berlin, German Institute for Economic Research.
  5. Egging, Ruud, 2013. "Benders Decomposition for multi-stage stochastic mixed complementarity problems – Applied to a global natural gas market model," European Journal of Operational Research, Elsevier, vol. 226(2), pages 341-353.
  6. Lise, Wietze & Hobbs, Benjamin F., 2008. "Future evolution of the liberalised European gas market: Simulation results with a dynamic model," Energy, Elsevier, vol. 33(7), pages 989-1004.
  7. Rolf Golombek & Eystein Gjelsvik & Knut Einar Rosendahl, 1995. "Effects of Liberalizing the Natural Gas Markets in Western Europe," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 85-112.
  8. S. Siddiqui & S. Gabriel, 2013. "An SOS1-Based Approach for Solving MPECs with a Natural Gas Market Application," Networks and Spatial Economics, Springer, vol. 13(2), pages 205-227, June.
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Cited by:
  1. Mendelevitch, Roman, 2013. "The Role of CO2-EOR for the Development of a CCTS Infrastructure in the North Sea Region: A Techno-Economic Model and Application," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79950, Verein für Socialpolitik / German Economic Association.
  2. Daniel Huppmann & Ruud Egging, 2014. "Market Power, Fuel Substitution and Infrastructure: A Large-Scale Equilibrium Model of Global Energy Markets," Discussion Papers of DIW Berlin 1370, DIW Berlin, German Institute for Economic Research.

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