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Applications of Fisher Information to the Management of Sustainable Environmental Systems

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Exploratory Data Analysis Using Fisher Information

Abstract

All organisms alter their surroundings, and humans now have the ability to affect environments at increasingly larger temporal and spatial scales. Indeed, mechanical and engineering advances of the twentieth century greatly enhanced the scale of human activities. Among these are the use and redistribution of natural resources. Unfortunately, these activities can have unexpected and unintended consequences. Environmental systems often respond to these activities with diminished or lost capacity of natural function. Fortunately, environmental management can play an important role in ameliorating these negative effects. The aim is to promote sustainable development, i.e., enrichment of the lives of the majority of people without seriously degrading the diversity and richness of the environment. However, the management tools themselves often fall prey to the same narrow levels of perspective that generated the negative conditions. The challenge is to develop a system-level index, one that indicates the organization and direction of ecological system dynamics. This index could detect when the system is changing its configuration to a new, perhaps less desirable, dynamic regime and may be incorporated into a sustainable management plan for the system. In this chapter, we demonstrate the use of Fisher information (FI) as such an environmental system index.

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References

  1. World Commission on Environment and Development. Our Common Future. Oxford University Press, Oxford, UK, 1987.

    Google Scholar 

  2. B.L. II Turner, R.E. Kasperson, P.A. Matson, J.J. McCarthy, R.W. Corell, Lindsey Christensen, N. Eckley, J.X. Kasperson, A. Luers, M.L. Martello, C. Polsky, A. Pulsipher, A. Schiller. Proc. Nat. Acad. Sci. USA 100(14), 8074–8079 (2003).

    Article  Google Scholar 

  3. M.L. Imhoff, L. Bounoua, T. Ricketts, C. Loucks, R. Harriss, and W.T. Lawrence. Nature 429, 870–873 (2004).

    Article  Google Scholar 

  4. J.A. Foley, R. DeFries, G.P. Asner, C. Barford, G. Bonan, S.R. Carpenter, F.S. Chapin, M.T. Coe, G.C. Daily, H.K. Gibbs, J.H. Helkowski, T. Holloway, E.A. Howard C.J. Kucharik, C. Monfreda, J.A. Patz, I.C. Prentice, N. Ramankutty, and P.K. Snyder. Science 309, 570–574 (2005).

    Article  Google Scholar 

  5. H. Mooney, A. Cropper, and W. Reid. Nature 434, 561–562 (2005).

    Article  Google Scholar 

  6. J.B. Schor. Ecol. Econ. 55, 309–320 (2005).

    Article  Google Scholar 

  7. M. Scheffer, S. Carpenter, J.A. Foley, C. Folke, and B. Walker. Nature 413(6856), 591–596 (2001).

    Article  Google Scholar 

  8. C. Folke, S. Carpenter, B. Walker, M. Scheffer, T. Elmqvist, L. Gunderson, and C.S. Holling. Ann. Rev. Ecol. Evol. Syst. 35, 557–581 (2004).

    Article  Google Scholar 

  9. R.B. Alley, J. Marotzke, W.D. Nordhaus, J.T. Overpeck, D.M. Peteet, R.A. Pielke, Jr., R.T. Pierrehumbert, P.B. Rhines, T.F. Stocker, L.D. Talley, and J.M Wallace. Science 299(5615), 2005–2010 (2003).

    Article  Google Scholar 

  10. D. Carment. Preventing state failure. In R. I. Rotberg (ed.), When States Fail: Causes and Consequences, Princeton University Press, Princeton, NJ, (2004), pp. 135–150.

    Google Scholar 

  11. J.A. Goldstone and J. Ulfelder. Wash. Q. 28, 9–20 (2004).

    Article  Google Scholar 

  12. P.A.T. Higgins, M.D. Mastrandea, and S.H. Schneider. Philos. Trans. R. Soc. Lond. B. Biol. Sci. 357, 647–655 (2002).

    Article  Google Scholar 

  13. A.L. Mayer, and M. Rietkerk. BioScience 54(11), 1013–1020 (2004).

    Article  Google Scholar 

  14. K.N. Suding, K.L. Gross, G.R. Houseman. Trends Ecol. Evol. 19, 46–53 (2004).

    Article  Google Scholar 

  15. B.D. Fath and H. Cabezas. Ecol. Modelling 174, 25–35 (2004).

    Article  Google Scholar 

  16. J. Patrícto R Ulanowicz, M.A. Pardal, and J.C. Marques. Estuar. Coast. Shelf Sci. 60, 23–35 (2004).

    Article  Google Scholar 

  17. B.D. Fath, H. Cabezas, and C.W., Pawlowski. J. Theor. Biol. 222, 517–530 (2003).

    MathSciNet  Google Scholar 

  18. M. Anand and L. Orlóci. Ecol. Modelling 132, 51–62 (2000).

    Article  Google Scholar 

  19. Y.M. Svirezhev. Ecol. Modelling 132, 11–22 (2000).

    Article  Google Scholar 

  20. R.E. Ulanowicz. Ecology, the Ascendent Perspective. Columbia University Press, New York, 1997.

    Google Scholar 

  21. H. Cabezas and B.D. Fath. Fluid Phase Equilib. 2, 194–197 (2002).

    Google Scholar 

  22. R.A. Fisher Philos. Trans. R. Soc. Lond. 222, 309–368 (1922).

    Article  Google Scholar 

  23. B.R. Frieden, Physics from Fisher Information: A Unification. Cambridge University Press, Cambridge UK, 1998, pp. 28–29.

    Book  Google Scholar 

  24. B.R. Frieden. Science from Fisher Information: A Unification, 2nd edn. Cambridge University Press, Cambridge, UK, 2004, pp. 29–31.

    MATH  Google Scholar 

  25. A.L. Mayer, C.W. Pawlowski, and H. Cabezas. Ecol. Modeling 195, 72–82 (2006).

    Article  Google Scholar 

  26. R. Dilão and T. Domingos. Ecol. Modelling, 132, 191–202 (2000).

    Article  Google Scholar 

  27. N.J. Gotelli and G.R. Graves. Null Models in Ecology. Smith Sonian Institution Press, Washington, D. C., 1996.

    Google Scholar 

  28. F. Jordán, I. Scheuring, and I. Molnár. Ecol. Modelling 161, 117–124 (2003).

    Article  Google Scholar 

  29. V. Volterra. Nature 118, 558–560 (1926).

    Article  MATH  Google Scholar 

  30. S.E. Kingsland. Defining ecology as a science. Pp. 1–13 in Foundations of Ecology: Classic papers with commentaries (LA Real and JH Brown, (eds.) University of Chicago Press, 1991.

    Google Scholar 

  31. T.M. Rocha Filho, I.M. Gléria, A. Figueiredo, and L. Brenig. Ecol. Modelling 183, 95–106 (2005).

    Article  Google Scholar 

  32. Y. Svirezhev. Ecol. Modelling 135, 135–146 (2000).

    Article  Google Scholar 

  33. J. Camacho, R. Guimerà and L.A. Nunes Amaral. Phys. Rev. Lett 88(22), 228101.1–228102.4 (2002).

    Article  Google Scholar 

  34. H. Cabezas, C.W. Pawlowski, A.L. Mayer, and N.T. Hoagland. Clean Technol. Environ. Policy 5, 167–180 (2003).

    Article  Google Scholar 

  35. P.M. Vitousek, P.R. Ehrlich, A.H. Ehrlich, P.A. Matson. BioScience 36, 368–73 (1986).

    Article  Google Scholar 

  36. H. Haberl. Ambio 26, 143–6 (1997).

    Google Scholar 

  37. A. Balmford, R.E. Green, and M. Jenkins. Trends Ecol. Evol. 18, 258–365 (2003).

    Google Scholar 

  38. Jenkins M. Science 302, 1175–1177 (2003).

    Article  Google Scholar 

  39. Millennium Ecosystem Assessment. Ecosystems and Human Well-Being: Biodiversity Synthesis. Island Press, Washington, D.C., 2005.

    Google Scholar 

  40. G.C. Daily (ed.). Nature’s Services: Societal Dependence on Natural Ecosystems. Island Press, Washington, D.C., 1997.

    Google Scholar 

  41. D.U. Hooper, F.S. Chapin, III, J.J. Ewel, A. Hector, P. Inchausti, S. Lavorel, J.H. Lawton, D.M. Lodge, M. Loreau, S. Naeem, B. Schmid, H. Setälä, A.J. Symstad, J. Vandermeer, and D.A. Wardle. Ecol. M. 75(1), 3–35 (2005).

    Article  Google Scholar 

  42. J. Korhonen and J-P Snäkin. Ecol. Econ. 52, 169–186 (2005).

    Article  Google Scholar 

  43. H. Cabezas, C.W. Pawlowski, A.L. Mayer, and N.T. Hoagland. Resour. Conserv. Recycling 44, 279–291 (2005).

    Article  Google Scholar 

  44. B.E. Beisner, D.T. Haydon, and K. Cuddington. Front. Ecol. Environ. 7, 376–382 (2003).

    Article  Google Scholar 

  45. B. Walker and J.A. Meyers. Ecol. Soc. 9(2) 3. [online]http://www.ecologyandsociety: org/vol9/iss2/art3. (2004).

    Google Scholar 

  46. J.A. McGowan, D.R. Cayan, and L.M. Dorman. Science 281, 210–217 (1998).

    Article  Google Scholar 

  47. T.D. Herbert, J.D. Schuffert, D. Andreasen, L. Heusser, M. Lyle, A. Mix, A.C. Ravelo, L.D. Stott, and J.C. Herguera. Science 293, 71–76 (2001).

    Article  Google Scholar 

  48. D. Straile, E.H. van Nes, and H. Hosper. Limnol. and Oceanogr. 46(7), 1780–1783 (2001).

    Article  Google Scholar 

  49. M. Scheffer and S.R. Carpenter. Trends Ecol. Evol. 18(12), 648–656 (2003)

    Article  Google Scholar 

  50. C.H. Hsieh, S.M. Glaser, A.J. Lucas, and G. Sugihara. Nature. 435, 336–340 (2005).

    Article  Google Scholar 

  51. C.C. Ebbesmeyer, D.D. Cyan, D.R. McLain, F.H. Nichols, D.H. Peterson, and K.T. Redmond. 1976 step in the Pacific climate: forty environmental changes between 1969–1975 and 1977–1984 In J.L. Betancourt and V.L. Tharp (eds.), Proceedings of the 7th Annual Climate (PACLIM) Workshop, April 1990, California Department of Water Resources. Interagency Ecological Studies Program Technical Report 26, 1990, 1991, pp. 115–126.

    Google Scholar 

  52. D.R. Easterling and T.C. Peterson. Int. J. Climato. 15, 369–377 (1995).

    Article  Google Scholar 

  53. J.R. Lanzante, Int. J. Climatol., 16, 1197–1226 (1996).

    Article  Google Scholar 

  54. S.N. Rodionov, Geophys. Res. Lett.. 31(9), L09204 (2004).

    Article  Google Scholar 

  55. D.L. Rudnick and R.E. Davies. Deep-Sea Res. I 50, 691–699 (2003).

    Article  Google Scholar 

  56. N. Mantua, Prog. Oceanogr. 60, 165–182 (2004).

    Article  Google Scholar 

  57. K.C. Taylor. Amer. Sci. 87, 320–327 (1999).

    Google Scholar 

  58. F. Gasse, R. Téhet, A. Durant, E. Gilbert, and J.C. Fontes. Nature 346, 141–146 (1990).

    Article  Google Scholar 

  59. E.C. Grimm, G.L. Jacobson, Jr., W.A. Watts, B.C.S. Hansen, and K.A.A. Maasch. Science. 261, 198–200 (1993).

    Article  Google Scholar 

  60. P. deMenocal, J. Ortiz, T. Guilderson, J. Adkins, M. Sarnthein, L. Baker, and M. Yarusinsky. Quat. Sci. Rev. 19, 347–361 (2000).

    Article  Google Scholar 

  61. C. Lorius, J. Jouzel, C. Ritz, L. Merlivat, N.I. Barkov, Y.S. Korotkevitch, and VMA Kotlyakov. Nature 316, 591–596 (1985).

    Article  Google Scholar 

  62. J.M. Barnola, D. Raynaud, Y.S. Korotkevich, and C. Lorius. Nature 329, 408–414 (1987).

    Article  Google Scholar 

  63. J. Jouzel, C. Lorius, J.R. Petit, C. Genthon, N.I. Barkov, V.M. Kotlyakov, and V.M. Petrov. Nature 329, 402–408 (1987).

    Article  Google Scholar 

  64. J. Jouzel, N.I. Barkov, J.M. Barnola, M. Bender, J. Chappellaz, C. Genthon, V.M. Kotlyakov, V. Lipenkov, C. Lorius, J.R. Petit, D. Raynaud, G. Raisbeck, C. Ritz, T. Sowers, M. Stievenard, F. Yiou, and P. Yiou. Nature 364, 407–412 (1993).

    Article  Google Scholar 

  65. J. Jouzel, C. Waelbroeck, B. Malaizé, M. Bender, J.R. Petit, N.I. Barkov, J.M. Barnola, T. King, V.M. Kotlyakov, V. Lipenkov, C. Lorius, D. Raynaud, C. Ritz, and T. Sowers. Clim. Dyn. 12, 513–521 (1996).

    Article  Google Scholar 

  66. J. Chappellaz, J.M. Barnola, D. Raynaud, Y.S. Korotkevich, and C Lorius. Nature 345, 127–131 (1990).

    Article  Google Scholar 

  67. P.U. Clark, N.G. Pisias, T.F. Stocker, and A.J. Weaver. Nature 415(6874), 863–869 (2002).

    Article  Google Scholar 

  68. D.C. Esty, J. Goldstone, T.R. Gurr, P.T. Surko, and A.N. Unger. State failure task force report: Working Papers. Science Applications International Corporation, McLean, VA, 1995.

    Google Scholar 

  69. D.C. Esty, J. Goldstone, T.R. Gurr, B. Harff, P.T. Surko, A.N. Unger, and R.S. Chen. State failure task force report: Phase II findings. Science Applications International Corporation, McLean, VA, 1998.

    Google Scholar 

  70. J.A. Goldstone, T.R. Gurr, B. Harff, M.A. Levy, M.G. Marshall, R.H. Bates, D.L. Epstein, C.H. Kahl, P.T. Surko, J.C. Ulfelder, Jr. and A.N. Unger. State failure task force report: Phase III findings (in consultation with M. Christenson, G.D. Dabelko, D.C. Esty, and Parris McLean TM) Science Applications International Corporation (SAIC) McLean, VA, 2000.

    Google Scholar 

  71. G. King, and L. Zeng. World Pol. 53(4), 623–658 (2001).

    Article  Google Scholar 

  72. R.I. Rotberg, The failure and collapse of nation-states: Breakdown, prevention and repair. In R.I. Rotberg (ed.), When States Fail: Causes and Consequences. Princeton University Press, Princeton, NJ, 2004, pp. 1–50.

    Google Scholar 

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Mayer, A.L., Pawlowski, C., Fath, B.D., Cabezas, H. (2007). Applications of Fisher Information to the Management of Sustainable Environmental Systems. In: Frieden, B.R., Gatenby, R.A. (eds) Exploratory Data Analysis Using Fisher Information. Springer, London. https://doi.org/10.1007/978-1-84628-777-0_7

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  • DOI: https://doi.org/10.1007/978-1-84628-777-0_7

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