Abstract
This paper models electricity spot prices using a Markov regime switching (MRS) model and regression trees (RT). MRS models offer the possibility to divide the time series into different regimes with different underlying processes. RT is a data driven technique aiming in finding a classifier that performs an average guessing for the response variable in question, which is the short term electricity spot price. We use a dataset consisting of average day ahead spot electricity prices for the MRS model. Then, we use hourly data to build the RT model. The empirical evidence supports that the regression tree approach outperforms the MRS model. We also compare the forecasting accuracy of the regression tree model by incorporating different predictors sets for electricity prices and logarithmic electricity prices. We find that a model with 11 predictors, accounting for logarithmic prices fits best our data.
Similar content being viewed by others
Notes
Reconstructing means to vary the scale and position parameters. Scale values determine the degree to which the wavelet is compressed or stretched. Low scale values compress the wavelet and correlate better with high frequencies. The low scale coefficients represent the fine-scale features of a time series. High scale values stretch the wavelet and correlate better with the low frequency content. The high scale coefficients represent the coarse-scale features.
Source: U.S. Energy Information Administration, Annual Energy Review, 2011.
The Henry hub is a distribution hub on the natural gas pipeline system. Due to its importance, it lends its name to the pricing point for natural gas futures contracts traded on the New York Mercantile Exchange (NYMEX) and the OTC swaps traded on Intercontinental Exchange (ICE).
References
Aggarwal SK, Saini LM, Kumar A (2009) Day-ahead price forecasting in ontario electricity market using variable-segmented support vector machine-based model. Electric Power Compon Syst 37(5):495–516
Barlow M (2002) A diffusion model for electricity prices. Math Finance 12:287–298
Becker R, Hurn S, Pavlov V (2007) Modelling spikes in electricity prices. Econ Record 83:371–382
Bernard J-T, Khalaf L, Kichian M, Mcmahon S (2008) Forecasting commodity prices: Garch, jumps, and mean reversion. J Forecast 27(4):279–291
Bessec M, Bouabdallah O (2005) What causes the forecasting failure of markov-switching models? A monte carlo study. Stud Nonlinear Dyn Econom 9(2):1–24
Bessembinder H, Lemmon ML (2002) Equilibrium pricing and optimal hedging in electricity forward markets. J Finance 57(3):1347–1382
Bierbrauer A, Weron R, Truck C (2004) Modeling electricity prices: jump difusion and regime switching. Physica A 336:39–48
Breiman L, Friedman J, Olshen R, Stone C (1984) Classification and regression trees. Wadsworth and Brooks, Monterey
Cartea Figueroa (2005) Pricing in electricity markets: a mean reverting jump diffusion model with seasonality. Appl Math Finance 12:313–335
Cartea Villaplana (2008) Spot price modeling and the valuation of electricity forward contracts: the role of demand and capacity. J Bank Finance 32:2502–2519
Catalao J, Mariano S, Mendes V, Ferreira L (2007) Short-term electricity prices forecasting in a competitive market: a neural network approach. Electric Power Syst Res 77:1297–1304
Clewlow L, Strickland C (2000) Energy derivatives, pricing and risk management. Lacima Publications, London
De Jong C (2006) The nature of power spikes: a regime-switch approach. Stud Nonlinear Dyn Econom 10(3), Art No 3. doi:10.2202/1558-3708.1361
Deng (ed) (2000) Pricing electricity derivatives under alternative stochastic models and its applications. In: Proceedings of the 33rd Hawaii international conference on system sciences
Dimitras A, Siriopoulos C (2006) Modelling and decision support in financial markets. Oper Res 6(2):83–84
Dixit AK, Pindyck RS (1994) Investment under uncertainty. Princeton University Press, Princeton
Ethier and Mount (1998) Estimating the volatility of spot prices in restructured electricity markets and the implications for option values. Cornell University Working Paper
Eydeland A, Geman H (1999) Energy modelling and management of uncertainty. Risk Books, New York
Gao C, Bompard E, Napoli R, Cheng H (2007) Price forecast in the competitive electricity market by support vector machine. Phys A Stat Mech Appl 382(1):98–113
Geman Roncoroni (2006) Understanding the fine structure of electricity prices. J Bus 79:1225–1261
Georgilakis P (2006) Artificial intelligenc to electricity price forecasting problem. Appl Artif Intel 19:707–727
Hamilton JD (1998) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57:357–384
Huisman (2008) The influence of temperature on spike probability in day-ahead power prices. Energy Econ 30:2697–2704
Janczura J, Weron R (2010) An empirical comparison of alternate regime-switching models for electricity spot prices. Energy Econ 32:1059–1073
Jong D, Huisman (2003) Option pricing for power prices with spikes. Energy Power Risk Manage 7:12–16
Kaminski V (1997) The challenge of pricing and risk managing electricity derivatives. US Power Market 3:149–171
Kanamura T, Ohashi K (2008) On transition probabilities of regime switching in electricity prices. Energy Econ 30(3):1158–1172
Karakatsani NV, Bunn DW (2008) Intra-day and regime-switching dynamics in electricity price formation. Energy Econ 30(4):1776–1797
Mahieu Huisman (2003) Regime jumps in electricity prices. Energy Econ 5:425–434
Mari C, Tondini D (2010) Regime switches induced by supply and demand equilibrium: a model for power-price dynamics. Physica A 389:4819–4827
Misiorek A, Trueck S, Weron R (2006) Point and interval forecasting of spot electricity prices: linear vs. non-linear time series models. Stud Nonlinear Dyn Econom 10(3):1–36
Mount (2006) Predicting price spikes in electricity markets using a regime-switching model with time-varying parameters. Energy Econ 28:62–80
Pilipovic D (1998) Energy risk: valuing and managing energy derivatives. McGraw-Hill, New York
Rambharat (2005) A threshold autoregressive model for wholesale electricity prices. Appl Stat 54:287–299 (part 2)
Ripley BD (1996) Pattern recognition and neural networks. Cambridge University Press, Cambridge
Schwartz Lucia (2002) Electricity prices and power derivatives: evidence from the nordic power exchange. Rev Deriv 5:5–50
Schwartz ES (1997) The stochastic behavior of commodity prices: implications for valuation and hedging. J Finance 52(3):923–973
Silva S, Fidalgo J, Fontes D (2011) A simulation based decision aid tool for setting regulation of energy grids with distributed generation. Oper Res 11(1):41–57
Thomaidis F, Konidari P, Mavrakis D (2008) The wholesale natural gas market prospects in the energy community treaty countries. Oper Res 8(1):63–75
Thomas LC (2000) A survey of credit and behavioural scoring: forecasting nancial risk of lending to consumers. Int J Forecast 16:149–172
Treslong ABV, Huisman R (2010) A comment on: storage and the electricity forward premium. Energy Econ 32(2):321–324
Trevor H, Robert T, Jerom F (2003) The elements of statistical learning: data mining, inference, and prediction. Springer, Berlin
Trueck S, Weron R, Wolff R (2007) Outlier treatment and robust approaches for modeling electricity spot prices. Mpra paper. University Library of Munich, Germany
Tsagkanos A, Georgopoulos A, Siriopoulos C (2007) Predicting Greek mergers and acquisitions: a new approach. Int J Financial Serv Manage 2(4):289–303
Tsagkanos A, Koumanakos E, Georgopoulos A, Siriopoulos C (2012) Prediction of Greek takeover targets via bootstrapping on mixed logit model. Rev Acc Finance 11(3):315–334
Voronin S, Partanen J (2012) A hybrid electricity price forecasting model for the finnish electricity spot market. In: The 32st annual international symposium on forecasting
Weron R (2006) Modeling and forecasting electricity loads and Prices: a statistical approach. HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology
Weron R, Misiorek A (2008) Forecasting spot electricity prices: a comparison of parametric and semiparametric time series models. Int J Forecast 24:744–763
Wu W, Zhou J, Mo L, Zhu C (2006) Forecasting electricity market price spikes based on bayesian expert with support vector machines. Adv Data Mining Appl 4093:205–212
Yamin H, Shahidehpour S, Li Z (2004) Adaptive short-term electricity price forecasting using artificial neural networks in the restructured power markets. Int J Electr Power Energy Syst 26(8):571–581
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Samitas, A., Armenatzoglou, A. Regression tree model versus Markov regime switching: a comparison for electricity spot price modelling and forecasting. Oper Res Int J 14, 319–340 (2014). https://doi.org/10.1007/s12351-014-0149-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12351-014-0149-6