Variation principles for modeling in resource economics

Bazhanov, Andrei (2005): Variation principles for modeling in resource economics. Published in: Vestnik DVO RAN No. 6 (December 2006): pp. 5-13.

Abstract

A technique for the construction of the model of nonrenewable resources depletion is offered. The approach is based on the assumption of the fulfillment of a variation principle. The model adequacy is examined with respect to world oil extraction data from 1859 to 2005. The possibilities of the use of the model in forecasting problems and in construction of the path of extraction, satisfying the intergenerational justice principle are discussed. Empirical justification of the hypothesis of the fulfillment of the Hamilton principle in resource economics gives an opportunity of the use of some laws of mechanics in economics.

• Item Type: MPRA Paper
• Institution: Far Eastern National University
• Language: Russian
• Keywords: nonrenewable resource; variation principle; intergenerational justice
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q3 - Nonrenewable Resources and Conservation > Q32 - Exhaustible Resources and Economic Development

References

1. Данилов-Данильян В.И. Природная рента и управление использованием природных ресурсов. – http://www.opec.ru/analize_doc.asp?d_no=47000 (май 2006). 2. Ергин Д. Добыча. Всемирная история борьбы за нефть, деньги и власть. М.: «ДеНово», 2001. 888 с. 3. Китайгородский В.И., Котов В.В. Моделирование экономического развития с учетом замещения невозобновляемых энергетических ресурсов. М.: Наука, 1990. 166 с. 4. Ландау Л.Д., Лифшиц Е.М. Механика. М.: Наука, 1973. 208 с. 5. Медоуз Д.Х., Медоуз Д.Л., Рандерс Й. За пределами роста. М.: Изд. группа «Прогресс», 1994. 304 с. 6. Моисеев Н.Н. Алгоритмы развития. М.: Наука, 1987. 304 с. 7. Поляков Г.А., Полякова Т.В. Модели и прогнозные оценки перспектив добычи нефти. М.: РОССПЭН, 2004. 152 с. 8. Ролз Дж. Теория справедливости. Новосибирск: Изд-во Новосиб. ун-та, 1995. 536 с. 9. Щелкачев В.Н. Отечественная и мировая нефтедобыча. М.: ГУП Изд-во «Нефть и газ» РГУ Нефти и газа, 2001. 128 с. 10. Эйсмонт О.А. Экономический рост при непостоянных издержках добычи природных ресурсов // Экономика и математические методы. 1995. Т. 31, Вып. 3. С. 116 – 122. 11. Hartwick J.M. Intergenerational Equity and the Investing of Rents from Exhaustible Resources // The American Economic Review. 1977. Vol. 67, N 5. P. 972 – 974. 12. Hartwick J.M., Long N.V., Tian H. On the Peaking of Consumption with Exhaustible Resources and Zero Net Investment // Environmental and Resource Economics. 2003. Vol. 24. P. 235 – 244. 13. Hartwick J.M. Sustaining periodic motion and maintaining capital in classical mechanics // Japan and the World Economy. 2004. Vol. 16. P. 337 – 358. 14. Hotelling H. The Economics of Exhaustible Resources // The Journal of Political Economy. 1931. Vol. 39, N 2. P. 137 – 175. 15. Hubbert M.K. Nuclear Energy and the Fossil Fuels // Amer. Petrol. Inst. Drilling & Production Practice. 1956. Proc. Spring Meeting, San Antonio, Texas. P.7 – 25. 16. International Energy Outlook 2005. – http://www.eia.doe.gov/oiaf/ieo/enduse.html (май 2006). 17. Kamien M., Schwartz N. Optimal Exhaustible Resource Depletion with Endogenous Technical Change // The Review of Economic Studies. 1978. Vol. 45, N 1. P. 179 – 196. 18. Krautkraemer J.A. Nonrenewable Resource Scarcity // Journal of Economic Literature. 1998. Vol. 36, N 4. P. 2065 – 2107. 19. Mitra T. Efficient Growth with Exhaustible Resources in Neoclassical Model // Journal of Economic Theory. 1978. Vol. 17, N 1. P. 114 – 129. 20. Oil & Gas Journal. 1930 – 2005. 21. Peterson F.M., Fisher A.C. The Exploitation of Extractive Resources A Survey // The Economic Journal. 1977. Vol. 87, N 348. P. 681 – 721. 22. Phelps E.S., Riley J.G. Rawlsian Growth: Dynamic Programming of Capital and Wealth for Intergeneration “Maximin” Justice // The Review of Economic Studies. 1978. Vol. 45, N 1. P. 103 – 120. 23. Solow R.M. Intergenerational Equity and Exhaustible Resources // The Review of Economic Studies. 1974. Vol. 41. Symposium on the Economics of Exhaustible Resources. P. 29 – 45. 24. Stiglitz J.E. Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths // The Review of Economic Studies. 1974. Vol. 41. Symposium on the Economics of Exhaustible Resources. P. 123 – 137.