Dynamics, Viability, and Resilience in Bioeconomics

Literature Cited

1. Allee WC. 1931. Animal Aggregation: A Study in General Sociology Chicago: Univ. Chicago Press
2. Arrow KJ. 1965. Aspects of the Theory of Risk Bearing Helsinki: Yrjo Jahnssonin Saatio
3. Aubin JP. 1991. Viability Theory Boston: Birkhauser
4. Aubin JP. 1997. Dynamic Economic Theory: A Viability Approach New York: Springer
5. Béné C, Doyen L, Gabay D. 2001. A viability analysis for a bio-economic model. Ecol. Econ. 36:385–96 [Google Scholar]
6. Bertsekas DP. 1995. Dynamic Programming and Optimal Control Belmont, MA: Athena Sci.
7. Beverton RJH, Holt SJ. 1957. On the Dynamics of Exploited Fish Populations (Fishery Investigations, Ser. 2, Vol. 19). London: HMSO
8. Billingsley P. 1986. Probability and Measures New York: Wiley
9. Brock WA, Scheinkman JA. 1976. Global asymptotic stability of optimal control systems with applications to the theory of economic growth. J. Econ. Theory 12:164–90 [Google Scholar]
10. Caswell H. 2001. Matrix Population Models Sunderland, MA: Sinauer, 2nd ed..
11. Chavas JP. 1999. On the economic rationality of market participants: the case of expectations in the U.S. pork market. J. Agric. Resour. Econ. 24:19–37 [Google Scholar]
12. Chavas JP. 2000. On information and market dynamics: the case of the U.S. beef market. J. Econ. Dyn. Control 24:833–53 [Google Scholar]
13. Chavas JP, Holt MT. 1991. On nonlinear dynamics: the case of the pork cycle. Am. J. Agric. Econ. 73:819–28 [Google Scholar]
14. Chavas JP, Holt MT. 1993. Market instability and nonlinear dynamics. Am. J. Agric. Econ. 75:113–20 [Google Scholar]
15. Chavas JP, Holt MT. 1995. Nonlinear dynamics and economic instability: the optimal management of a biological population. J. Agric. Resour. Econ. 20:231–46 [Google Scholar]
16. Clark CW. 2010. Mathematical Bioeconomics: The Mathematics of Conservation New York: Wiley, 3rd ed..
17. Dawid H, Kopel M. 1999. On optimal cycles in dynamic programming models with convex return functions. Econ. Theory 13:309–27 [Google Scholar]
18. De Lara M, Doyen L. 2008. Sustainable Management of Natural Resources: Mathematical Models and Methods Berlin: Springer
19. Dechert WD, Nishimura K. 1983. A complete characterization of optimal growth paths in an aggregated model with a non-concave production function. J. Econ. Theory 31:332–54 [Google Scholar]
20. Deneckere R, Pelikan S. 1986. Competitive chaos. J. Econ. Theory 40:13–25 [Google Scholar]
21. Doyen L, De Lara M. 2010. Stochastic viability and dynamic programming. Syst. Control Lett. 59:629–34 [Google Scholar]
22. Ellsberg D. 1961. Risk, ambiguity and the savage axioms. Q. J. Econ. 75:643–69 [Google Scholar]
23. Epstein LG, Zin SE. 1989. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: a theoretical framework. Econometrica 57:937–69 [Google Scholar]
24. Epstein LG, Zin SE. 1991. Substitution, risk aversion, and the temporal behavior of consumption and asset returns: an empirical analysis. J. Polit. Econ. 99:263–86 [Google Scholar]
25. Geritz SAH, Kisdi E. 2004. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228:261–69 [Google Scholar]
26. Gunderson LH. 2000. Ecological resilience in theory and application. Annu. Rev. Ecol. Syst. 31:427–39 [Google Scholar]
27. Hanski I. 1999. Metapopulation Ecology Oxford, UK: Oxford Univ. Press
28. Harlow AA. 1960. The hog cycle and the cobweb theorem. J. Farm Econ. 42:842–53 [Google Scholar]
29. Hassell MP. 1975. Density-dependence in single-species populations. J. Anim. Ecol. 44:283–95 [Google Scholar]
30. Hassell MP, Comins HN. 1976. Discrete time models for two-species competition. Theor. Popul. Biol. 9:202–21 [Google Scholar]
31. Holling CS. 1973. Resilience and stability of ecological systems. Annu. Rev. Ecol. Syst. 4:1–23 [Google Scholar]
32. Kahneman D, Tversky A. 1979. Prospect theory: an analysis of decision under risk. Econometrica 47:263–91 [Google Scholar]
33. Keenan DC, Snow A. 2009. Greater downside risk aversion in the large. J. Econ. Theory 144:1092–101 [Google Scholar]
34. Klibanoff P, Marinacci M, Mukerji S. 2005. A smooth model of decision making under ambiguity. Econometrica 73:1849–92 [Google Scholar]
35. Knight FH. 1921. Risk, Uncertainty, and Profit Boston: Houghton Mifflin
36. Lande R, Engen S, Sæther B-E. 2003. Stochastic Population Dynamics in Ecology and Conservation Oxford, UK: Oxford Univ. Press
37. Lefkovitch LP. 1965. The study of population growth in organisms grouped by stages. Biometrics 21:1–18 [Google Scholar]
38. Leslie PH. 1948. Some further notes on the use of matrices in population mathematics. Biometrika 35:213–45 [Google Scholar]
39. Levins R. 1969. Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entomol. Soc. Am. 15:237–40 [Google Scholar]
40. Lotka AJ. 1925. Elements of Physical Biology New York: Dover [Repr. 1956]
41. Luenberger D. 1996. Welfare from a benefit viewpoint. Econ. Theory 7:445–62 [Google Scholar]
42. Martinet V, Doyen L. 2007. Sustainable management of an exhaustible resource: a viable control approach. Resour. Energy Econ. 29:17–39 [Google Scholar]
43. May RM. 1976. Simple mathematical models with very complicated dynamics. Nature 261:459–67 [Google Scholar]
44. Menezes C, Geiss C, Tressler J. 1980. Increasing downside risk. Am. Econ. Rev. 70:921–32 [Google Scholar]
45. Mitra T. 1996. An exact discount factor restriction for period-three cycles in dynamic optimization models. J. Econ. Theory 69:281–305 [Google Scholar]
46. Mora C, Tittensor DP, Adl S, Simpson AGB, Worm B. 2011. How many species on earth and in the ocean?. PLOS Biol. 9:1–8 [Google Scholar]
47. Mundlak Y, Huang H. 1996. International comparisons of cattle cycles. Am. J. Agric. Econ. 78:855–68 [Google Scholar]
48. Murray JD. 2002. Mathematical Biology: An Introduction New York: Springer
49. Pratt JW. 1964. Risk aversion in the small and in the large. Econometrica 32:122–36 [Google Scholar]
50. Quiggin J. 1993. Generalized Expected Utility Theory: The Rank-Dependent Expected Utility Model Amsterdam: Kluwer-Nijhoff
51. Raup DM. 1991. Extinction: Bad Genes or Bad Luck? New York: W.W. Norton
52. Ricker WE. 1954. Stock and recruitment. J. Fish. Res. Board Can. 11:559–623 [Google Scholar]
53. Rockwood LL. 2006. Introduction to Population Ecology Malden, MA: Blackwell
54. Rosen S, Murphy KM, Scheinkman JA. 1994. Cattle cycles. J. Polit. Econ. 102:468–92 [Google Scholar]
55. Savage L. 1954. The Foundations of Statistics New York: Wiley
56. Sundaram R. 1996. A First Course in Optimization Theory Cambridge, UK: Cambridge Univ. Press
57. Taylor MS. 2011. Buffalo hunt: international trade and the virtual extinction of the North American bison. Am. Econ. Rev. 101:3162–95 [Google Scholar]
58. Turchin P. 2003. Complex Population Dynamics: A Theoretical/Empirical Synthesis Princeton, NJ: Princeton Univ. Press
59. Tversky A, Kahneman D. 1992. Advances in prospect theory: cumulative representation of risk. J. Risk Uncertain. 5:297–323 [Google Scholar]
60. Volterra V. 1926. Fluctuations in the abundance of a species considered mathematically. Nature 118:558–60 [Google Scholar]
61. Weitzman ML. 2009. On modeling and interpreting the economics of catastrophic climate change. Rev. Econ. Stat. 91:1–19 [Google Scholar]