Multiple Species Boreal Forests - What Faustmann Missed

Environmental and Resource Economics

Volumn 26, Issue 4, 2003, Pages 625-646

  Crépin, Anne Sophie ^a  

^a ROYAL SWEDISH ACADEMY OF SCIENCES   (Sweden)

Author keywords

Forestry; Multiple steady states; Non linear; Skiba points

Indexed keywords

ECONOMICS; ECOSYSTEMS; HARVESTING; LAKES; MATHEMATICAL MODELS;

OPTIMAL HARVESTING STRATEGY;

FORESTRY;

BOREAL FOREST; FORESTRY PRODUCTION; HARVESTING;

ANTHOZOA;

EID: 0347093410     PISSN: 09246460     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:EARE.0000007352.02799.0e     Document Type: Article

References (44)

1. Arrow, K. J. and M. Kurz (1970), Public Investment, the Rate of Return, and Optimal Fiscal Policy. Baltimore and London: The John Hopkins Press.
2. Bergland, O., R. Ready and E. Romstad (forthcoming) 'Differentiating at the Speed of Light in a Universe of Trees and Moose', in T. Aronsson, R. Axelsson and R. Brännlund, eds., Environmental and Resource Economics in Honor of Karl-Gustaf Löfgren.
3. Bernes, C. (1994), Biologisk Mångfald I Sverige - En Landstudie. Naturvårdsverket.
4. Beyn, W.-J., T. Pampel and W. Semmler (2001), 'Dynamic Optimization and Skiba Sets in Economics Examples', Optimal Control Applications and Methods 22, 251-280.
5. Birkhoff, G. D. (1927), Dynamical Systems, Vol. 9 of Colloquium Publications. USA: American Mathematical Society, 1966 edition.
6. Brock, W. A. and A. G. Malliaris (1989), Differential Equations, Stability and Chaos in Dynamic Economics, Advanced Textbooks in Economics. The Netherlands: North-Holland Elsevier Science Publishers.
7. Brock, W. A. and D. Starrett (2003), 'Managing Systems with Non-Convex Positive Feedback', Environmental and Resource Economics 26, 575-602.
8. Carpenter, S. R. and K. L. Cottingham (1997), 'Resilience and Restoration of Lakes', Conservation Ecology 1(1), 1-17. http://www.consecol.org/ Journal/vol1/iss1/art2/index.html.
9. Clark, C. (1976), Mathematical Bioeconomics: The Optimal Management of Renewable Resources. New York: Wiley.
10. Clark, C. W. (1973), 'The Economics of Overexploitation', Science 181, 630-634.
11. Clark, C. W. (1990), Mathematical Bioeconomics - The Optimal Management of Renewable Resources, Pure and Applied Mathematics. John Wiley and Sons Inc, second edition. First published in 1976.
12. Crépin, A.-S. (2002), 'Tackling the Economics of Ecosystems'. Ph.D. thesis, Stockholm University, Department of Economics. Dissertations in economics 2002: 6.
13. Danell, K., T. Willebrand and L. Baskin (1998), 'Mammalian Herbivores in the Boreal Forests: Their Numerical Fluctuation and Use by Man', Conservation Ecology 2(2:9), 1-18. http://www. consecol.org/vol2/iss2/art9.
14. Deissenberg, C., G. Feichtinger, W. Semmler and F. Wirl (2001), History Dependence and Global Dynamics in Modles with Multiple Equilibria. Germany: Working Paper No. 12 Center for Empirical Macroeconomics, Department of Economics, University of Bielefeld P.O. Box 100 131, 33501 Bielefeld.
15. Faustmann, M. (1849), 'Berechnung Des Wertes Welchen Waldboden Sowie Noch Nicht Haubare Holzbestände Für Die Waldwirtschaft Besitzen', Allgemeine Forst und Jagd-Zeitung 25, 441-455.
16. Gordon, H. S. (1954), 'The Economic Theory of a Common Property Resource: The Fishery', Journal of Political Economy 62, 124-142.
17. Grebogi, C., E. Ott and J. A. Yorke (1987), 'Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics', Science, 632-638.
18. Gurney, W. and R. Nisbet (1998), Ecological Dynamics. Oxford University Press.
19. Hestenes, M. R. (1966), Calculus of Variations and Optimal Control Theory. United States: John Wiley and Sons.
20. Holling, C. S. (1973), 'Resilience and Stability of Ecological Systems', Annual Review of Ecology and Systematics 4, 1-23.
21. Hughes, T. P., A. H. Baird, D. R. Bellwood, M. Card, S. R. Connolly, C. Folke, R. Grosberg, O. Hoegh-Goldberg, J. B. C. Jackson, J. Kleypas, J. M. Lough, P. Marshall, M. Nyström, S. R. Palumbi, J. M. Pandolf, B. Rosen and J. Roughgarden (2003), 'Climate Change, Human Impacts and the Resilience of Coral Reefs', Science 301, 929-933, August.
22. Judd, K. L. (1998), Numerical Methods in Economics. The MIT Press.
23. Kuhn, H. and A. Tucker (1951), 'Non-Linear Programming', in J. Neyman, ed., Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability (pp. 481-492). Berkeley and Los Angeles: University of California Press.
24. Kurz, M. (1968), 'The General Instability of a Class of Competitive Growth Processes', The Review of Economic Studies 35(102), 155-174.
25. Kuznetsov, Y. A. (1995), Elements of Applied Bifurcation Theory, Applied Mathematical Sciences 112. Springer Verlag.
26. Lyapunov, A. (1892), General Problem of Stability of Motion. Kharkov: Mathematics Society of Kharkov.
27. Mäler, K.-G., A. Xepapadeas and A. de Zeeuw (2000), 'The Economics of Shallow Lakes', Environmental and Resource Economics 26, 603-624.
28. May, R. M. (1977), 'Thresholds and Breakpoints in Ecosystems with Multiple Stable States', Nature 269, 471-477.
29. Murray, J. D. (1993), Mathematical Biology, Biomathematics Texts. Springer, second, corrected edition.
30. Norberg, J., D. P. Swaney, J. Dushoff, J. Lin, R. Caqsagrandi and S. A. Levin (2001), 'Phenotypic Diversity and Ecosystem Functioning in Changing Environments: A Theoretical Framework', Proceedings of the National Academy of Sciences, USA 98(20), 11376-11381.
31. Nusse, H. E. and J. A. Yorke (1997), Dynamics: Numerical Explorations, Vol. 101 of Applied Mathematical Sciences. New York, USA: Springer-Verlag, second, revised and enlarged edition. Accompanying Computer Program Dynamics 2 Coauthored by Brian R. Hunt and Eric J. Kostelich.
32. Ohlin, B. (1921), 'Till Frågan Om Skogarnas Omloppstid', Ekonomisk Tidskrift 22, 89-113.
33. Pastor, J., B. Dewey, R. Moen, D. J. Mladenoff, M. White and Y. Cohen (1997), 'Spatial Patterns in the Moose-Forest-Soil Ecosystem on the Isle Royale, Michigan', Ecological Applications 8(2), 411-424.
34. Pastor, J. and D. J. Mladenoff (1992), 'The Southern Boreal-Northern Hardwood Forest Border', in H. H. Shugart, R. Leemans and G. B. Bonan, eds., A System Analysis of the Global Boreal Forest (pp. 216-240). Cambridge University Press.
35. Pastor, J., D. J. Mladenoff, Y. Haila, J. Bryant and S. Payette (1996), 'Biodiversity and Ecosystem Processes in Boreal Regions', in H. A. Mooney, J. H. Cushman, E. Medina, O. E. Sala and E. D. Schulze, eds., Functional Roles of Biodiversity: A Global Perspective, Chapt. 3 (pp. 33-69). John Wiley and Sons Ltd.
36. Pontryagin, L., V. Boltyanskii, R. Gamkrelidze and E. Mishchenko (1964), The Mathematical Theory of Optimal Processes. Pergamon Press. Translated by D.E. Brown.
37. Pressler, M. R. (1860), 'Aus der Holzzuwachlehre (Zweiter Artikel)', Allgemeine Forst- und Jagdzeitung 36, 173-191.
38. Scheffer, M. (1998), Ecology of Shallow Lakes, Vol. 22 of Population and Community Biology Series. Chapman and Hall, first edition.
39. Scott, A. D. (1955), 'The Fishery: The Objectives of Sole-Ownership', Journal of Political Economy 63, 116-124.
40. Seierstad, A. and K. Sydsæter (1987), Optimal Control Theory with Economic Applications, Vol. 24 of Advanced Textbooks in Economics. North Holland: Elsevier Science Publisher.
41. Skiba, A. K. (1978), 'Optimal Growth with a Convex-Concave Production', Econometrica 46(3), 527-539.
42. Stirling, G. and B. Wilsey (2001), 'Empirical Relationships Between Species Richness, Evenness and Proportional Diversity', The American Naturalist 158(3), 286-299.
43. Takeuchi, Y. (1996), Global Dynamical Properties of Lotka-Volterra Systems. World Scientific Publishing Co. Pte. Ltd.
44. Wagener, F. (2003), 'Skiba Points and Heteroclinic Bifurcation Points, with Applications to the Shallow Lake System', Journal of Economic Dynamics and Control 27(9), 1533-1561.