Human Capital, Wealth, and Renewable Resources

This paper studies dynamic interdependence among physical capital, resource and human capital. We integrate the Solow one-sector growth, Uzawa-Lucas two-sector and some neoclassical growth models with renewable resource models. The economic system consists of the households, production sector, resource sector and education sector. We take account of three ways of improving human capital: Arrow’s learning by producing (Arrow, 1962), Uzawa’s learning by education (Uzawa, 1965), and Zhang’s learning by consuming (Zhang, 2007). The model describes a dynamic interdependence among wealth accumulation, human capital accumulation, resource change, and division of labor under perfect competition. We simulate the model to demonstrate existence of equilibrium points and motion of the dynamic system. We also examine effects of changes in the productivity of the resource sector, the utilization efficiency of human capital, the propensity to receive education, and the propensity to save upon dynamic paths of the system.
JEL ClassificationO41, I25, Q2


  1. Arrow, K.J., 1962. The Economic Implications of Learning by Doing. Review of Economic Studies, 29, pp.155-173.
  2. Arrow, K., 1973. Higher Education as a Filter. Journal of Public Economics, 2, 193-216.
  3. Ayong Le Kama, A.D., 2001. Sustainable Growth, Renewable Resources and Pollution. Journal of Economic Dynamics and Control, 25, 1911-1918.
  4. Alvarez-Guadrado, F. and von Long, N., 2011. Consumption and Renewable Resource Extraction under Alternative Property-Rights Regimes. Resource and Energy Economics, 33(4), pp. 1028-1053.
  5. Barbier, E.B., 1999. Endogenous Growth and Natural Resource Scarcity. Environmental and Resource Economics, 14, pp. 51-74.
  6. Barro, R.J., 2001. Human Capital and Growth. American Economic Review, Papers and Proceedings, 91, pp. 12-17.
  7. Barro, R.J. and Sala-i-Martin, X., 1995. Economic Growth. New York: McGraw-Hill, Inc.
  8. Beltratti, A., Chichilnisky, G., and Heal, G.M., 1994. Sustainable Growth and the Golden Rule. In The Economics of Sustainable Development, edited by Goldin, I. and Winters, I.A. Cambridge: Cambridge University Press.
  9. Benchekroun, H., 2003. Unilateral Production Restrictions in a Dynamic Duopoly. Journal of Economic Theory, 111, pp. 237-261.
  10. Benhabib, J. and Perli, R., 1994. Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth. Journal of Economic Theory, 63, pp. 113-142.
  11. Berck, P., 1981. Optimal Management of Renewable Resources with Growing Demand and Stock Externalities. Journal of Environmental Economics and Management, 11, pp.101-118.
  12. Brander, J.A. and Taylor, M.S., 1998. The Simple Economics of Easter Island: A Ricardo-Malthus Model of Renewable Resource Use. American Economic Review, 81, pp. 119-138.
  13. Brown, G.M., 2000. Renewable Natural Resource Management and Use without Markets. Journal of Economic Literature, 38, pp. 875-914.
  14. Bulter, E.H. and Barbier, E.B., 2005. Trade and Renewable Resources in a Second Best World: An Overview. Environmental and Resource Economics, 30, pp. 423-463.
  15. Bulter, E.H. and Van Kooten, G.C., 1999. Economics of Antipoaching Enforcement and the Ivory Trade Ban. American Journal of Agricultural Economics, 81, pp. 453-466.
  16. Burmeister, E. and Dobell, A.R., 1970. Mathematical Theories of Economic Growth. London: Collier Macmillan Publishers.
  17. Cairns, D.R. and Tian, H.L., 2010. Sustained Development of a Society with a Renewable Resource. Journal of Economic Dynamics & Control, 24, pp. 2048-2061.
  18. Campbell, J.Y. and Ludvigson, S., 2001. Elasticities of Substitution in Real Business Cycle Models with Home Production. Journal of Money, Credit and Bankings, 33, pp. 847-875.
  19. Castelló-Climent, A. and Hidalgo-Cabrillana, A., 2012. The Role of Education Quality and Quantity in the Process of Economic Development. Economics of Education Review, 31(4), pp. 391-409.
  20. Chen, C.H. and Lu, Z.N., 2009. Analysis of the Economical Growth Model with Limited Renewable Resource. International Journal of Nonlinear Science, 7, pp. 90-94.
  21. Chen, M.K. and Chevalier, J.A., 2008. The Taste for Leisure, Career Choice, and the Returns to Education. Economics Letters, 99, pp. 353-356.
  22. Choi, S.M., 2011. How Large Are Learning Externalities? International Economic Review, 52, pp. 1077-1103.
  23. Clark, C.W., 1976. Mathematical Bioeconomics: The Optimal Management of Renewable Resources. New York: Wiley.
  24. Cohn, E. and Cooper, S.T., 2004. Multi-product Cost Functions for Universities: Economies of Scale and Scope. In International Handbook on the Economics of Education, edited by Johnes, G. and Johnes, J., Cheltenham: Edward Elgar.
  25. Copeland, B.R. and Taylor, M.S., 2009. Trade, Tragedy, and the Commons. American Economic Review, 99, pp. 725-749.
  26. Dasgupta, P.S. and Heal, G.E., 1979. The Economics of Exhaustible Resources. Cambridge: Cambridge University Press.
  27. Drugeon, J.P. and Venditti, A., 2001. Intersectoral External Effects, Multiplicities & Indeterminacies. Journal of Economic Dynamics & Control, 25, pp. 765-787.
  28. Eliasson, L. and Turnovsky, S.J., 2004. Renewable Resources in an Endogenously Growing Economy: Balanced Growth and Transitional Dynamics. Journal of Environmental Economics and Management, 48, pp. 1018-1049.
  29. Erceg, C., Guerrieri, L. and Gust, C., 2005. Can Long-Run Restrictions Identify Technology Shocks? Journal of European Economic Association, 3, pp. 1237-1278.
  30. Farmer, K. and Bednar-Friedl, B., 2010. Intertemporal Resource Economics – An Introduction to the Overlapping Generations Approach. New York: Springer.
  31. Fleisher, B., Hu, Y.F., Li, H.Z., and Kim, S.H., 2011. Economic Transition, Higher Education and Worker Productivity in China. Journal of Development Economics, 94, pp. 86-94.
  32. Fujiwara, K., 2011. Losses from Competition in a Dynamic Game Model of a Renewable Resource Oligopoly. Resource and Energy Economics, 33, pp. 1-11.
  33. Gordon, H.S., 1954. The Economic Theory of a Common Property Resource: The Fishery. Journal of Political Economy, 62, pp. 124-142.
  34. Greenwood, J. and Hercowitz, Z., 1991. The Allocation of Capital and Time over the Business Cycle. The Journal of Political Economy, 99, 1188-1214.
  35. Gylfason, T., Herbertsson, T., and Zoega, G., 1999. A Mixed Blessing: Natural Resources and Economic Growth. Macroeconomic Dynamics, 3, pp. 204-25.
  36. Hahn, F.H., 1990. Solowian Growth Models, in Growth, Productivity, Unemployment, edited by P. Diamond. Mass., Cambridge: The MIT Press.
  37. Hannesson, R., 2000. Renewable resources and the gains from trade. Canadian Journal of Economics, 33, pp. 122-132.
  38. Hanushek, E. and Kimko, D., 2000. Schooling, Labor-Force Quality and the Growth of Nations. American Economic Review, 90, pp. 1194-1204.
  39. Hussey, A., 2012. Human Capital Augmentation versus the Signaling Value of MBA. Economics of Education Review, 31, 442-451.
  40. Ishida, J., 2004. Education as Advertisement. Economics Bulletin, 10, pp. 1-8.
  41. Jones, L. and Manuelli, R.E., 1997. The Sources of Growth. Journal of Economic Dynamics and Control, 21, pp. 75-114.
  42. Kihlstrom, R.E. and Riordan, M.H., 1984. Advertising as a Signal. Journal of Political Economy, 92, pp. 427-450.
  43. Krueger, A.B., 1999. Experimental Estimates of Education Production Functions. Quarterly Journal of Economics, 114, pp. 497-532.
  44. Krueger, A.B. and Lindahl, M., 2001. Education for Growth: Why and for Whom. Journal of Economic Literature, 39, pp. 1101-1136.
  45. Kurz, M., 1963. The Two Sector Extension of Swan’s Model of Economic Growth: The Case of No Technical Change. International Economic Review, 4, pp. 1-12.
  46. Ladrón-de-Guevara, A., Ortigueira, S., and Santos, M.S., 1999. A Two Sector Model of Endogenous Growth with Leisure. The Review of Economic Studies, 66, pp. 609-631.
  47. Lee, S., 2007. The Timing of Signaling: To Study in High School or in College? International Economic Review, 48, pp. 785-807.
  48. Levhari, D. and Withagen, C., 1992. Optimal Management of the Growth Potential of Renewable Resources. Journal of Economics, 56, pp. 297-309.
  49. Li, H.B., Liu, P.W., and Zhang, J.S., 2012. Estimating Returns to Education Using Twins in Urban China. Journal of Development Economics, 97, pp. 494-504.
  50. Liu, Z.Q., 2007. The External Returns to Education: Evidence from Chinese Cities. Journal of Urban Economics, 61, pp. 542-564.
  51. Long, N.V. and Wang, S., 2009. Resource-grabbing by Status-conscious Agents. Journal of Development Economics, 89, pp. 39-50.
  52. Lucas, R.E., 1988. On the Mechanics of Economic Development. Journal of Monetary Economics, 22, pp. 3-42.
  53. Milgrom, P. and Roberts, J., 1986. Price and Advertising Signals of Product Quality. Journal of Political Economy, 94, pp. 796-821.
  54. Milner-Gulland, E.J. and Leader-Williams, N., 1992. A Model of Incentives for the Illegal Exploitation of Black Rhinos and Elephants. Journal of Applied Ecology, 29, pp. 388-401.
  55. Munro, G.R. and Scott, A.D., 1985. The Economics of Fisheries Management. In Handbook of Natural Resource and Energy Economics, vol. II, edited by Kneese, A.V. and Sweeney, J.L., Amsterdam: Elsevier.
  56. Nelson, P., 1974. Advertising as Information. Journal of Political Economy, 82, pp. 729-754.
  57. Paterson, D.G. and Wilen, J.E., 1977. Depletion and Diplomacy: The North-Pacific Seal Hunt, 1880-1910. In Research in Economic History, edited by Uselding, P. JAI Press.
  58. Plourde, G.C., 1970. A Simple Model of Replenishable Resource Exploitation. American Economic Review, 60, pp. 518-522.
  59. Plourde, G.C., 1971. Exploitation of Common-Property Replenishable Resources. Western Economic Journal, 9, pp. 256-266.
  60. Rauch, J., 1993. Productivity Gains from Geographic Concentration of Human Capital: Evidence from the Cities. Journal of Urban Economics, 34, pp. 380-400.
  61. Rupert, P., Rogerson, R., and Wright, R., 1995. Estimating Substitution Elasticities in Household Production Models. Economic Theory, 6, 179-193.
  62. Sachs, J.D. and Warner, A.M., 2001. The Curse of Natural Resources. European Economic Review, 45, pp. 827-838.
  63. Schaefer, M.B., 1957. Some Considerations of Population Dynamics and Economics in Relation to the Management of Marine Fisheries. Journal of Fisheries Research Board of Canada, 14, pp. 669-681.
  64. Solow, R., 1956. A Contribution to the Theory of Growth. Quarterly Journal of Economics, 70, pp. 65-94.
  65. Solow, R., 1999. Neoclassical Growth Theory. In Handbook of Macroeconomics, edited by Taylor, J.B. and Woodford, M. North-Holland.
  66. Solow, R., 2000. Growth Theory – An Exposition. New York: Oxford University Press.
  67. Spence, M., 1973. Job Market Signaling. Quarterly Journal of Economics, 87, pp. 355-374.
  68. Stiglitz, J.E., 1967. A Two Sector Two Class Model of Economic Growth. Review of Economic Studies, 34, pp. 227-238.
  69. Stiglitz, J.E., 1974. Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths. Review of Economic Studies, Symposium on the Economics of Exhaustible Resources, 123-138.
  70. Stiglitz, J.E., 1975. The Theory of Screening, Education, and the Distribution of Income. American Economic Review, 65, pp. 283-300.
  71. Tajibaeva, L.S., 2011. Property Rights, Renewable Resources and Economic Development. Environmental and Resource Economics, 51, pp. 23-41.
  72. Tornell, A. and Velasco, A., 1992. The Tragedy of the Commons and Economic Growth: Why does Capital Flow from Poor to Rich Countries?, Journal of Political Economy, 100, 1208-1231.
  73. Turnovsky, S.J., 1999. Fiscal Policy and Growth in a Small Open Economy with Elastic Labor Supply. The Canadian Journal of Economics, 32, 1191-1214.
  74. Uzawa, H., 1961. On A Two-Sector Model of Economic Growth I. Review of Economic Studies, 29, pp. 47-70.
  75. Uzawa, H., 1965. Optimal Technical Change in an Aggregative Model of Economic Growth. International Economic Review, 6, pp. 18-31.
  76. Wirl, F., 2004. Sustainable Growth, Renewable Resources and Pollution: Thresholds and Cycles. Journal of Economic Dynamics & Control, 28, pp. 1149-1157.
  77. Zhang, W.B., 1993. Woman’s Labor Participation and Economic Growth – Creativity, Knowledge Utilization and Family Preference. Economics Letters, 42, pp. 105-110.
  78. Zhang, W.B., 2007. Economic Growth with Learning by Producing, Learning by Education, and Learning by Consuming. Interdisciplinary Description of Complex Systems, 5, pp. 21-38.
  79. Zhang, W.B., 2011. Renewable Resources, Capital Accumulation, and Economic Growth. Business Systems Research, 1, pp. 24-35.


Ritsumeikan Asia Pacific University, Japan


Wei-Bin Zhang, Ritsumeikan Asia Pacific University, 1-1 Jumonjibaru, Beppu-Shi, Oita-ken, 874-8577 Japan

Article History

Received: April 23, 2014
Accepted: May 5, 2014
Available Online: May 14, 2014

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Zhang, W.B., 2014. Human Capital, Wealth, and Renewable Resources. Expert Journal of Economics, 2(1), pp.1-20

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