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NOAA F/NWC-198 Determining Minimum Viable Populations under the Endangered Species Act


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Allendorf, F. W., R. B. Harris, and L. H. Metzgar. In press. Estimation of effective population size of grizzly bears by computer simulation. In T. R. Dudley (editor), Proceedings of the Fourth International Congress of Systematic and Evolutionary Biology, July, 1990, College Park, MD. Dioscorides Press, Portland, OR.

Allendorf, F. W., and C. Servheen. 1986. Genetics and the conservation of grizzly bears. Trends Ecol. Evol. 1:88-89.

Bartlett, M. S. 1960. Stochastic population models in ecology and epidemiology. Methuen, London, 90 p.

Beddington, J. R., and R. M. May. 1977. Harvesting natural populations in a randomly fluctuating environment. Science 197:463-465.

Belovsky, G. E. 1987. Extinction models and mammalian persistence. In M. E. Soule (editor), Viable populations for conservation, p. 35-57. Cambridge Univ. Press, Cambridge.

Black, M. 1962. Models and metaphors: Studies in language and philosophy. Cornell Univ. Press, Ithaca, NY, 267 p.

Boswell, M. T., J. K. Ord, and G. P. Patil. 1979. Chance mechanisms underlying univariate distributions. In J. K. Ord, G. P. Patil, and C. Taillie (editors), Statistical distributions in ecological work, p. 3-156. International Co-operative Publishing House, Fairland, MD.

Braumann, C. A. 1983. Population growth in random environments. Bull. Math. Biol. 45:635-641.

Brussard, P. F. 1991. The role of ecology in biological conservation. Ecol. Appl. 1:6-12.

Burgman, M. A., H. R. Akcakaya, and S. S. Loew. 1988. The use of extinction models for species conservation. Biol. Conserv. 43:9-25.

Burgman, M. A., and V. A. Gerard. 1990. A stage-structured, stochastic population model for the giant kelp Macrocystis pyrifera. Mar. Biol. 105:15-23.

Capocelli, R. M., and L. M. Ricciardi. 1974. A diffusion model for population growth in random environment. Theor. Pop. Biol. 5:28-41.

Crow, J. F., and C. Denniston. 1988. Inbreeding and variance effective population numbers. Evol. 42:482-495.

Crow, J. F., and M. Kimura. 1970. An introduction to population genetics theory. Harper and Row, New York, 591 p.

Dawson, W. R., J. D. Ligon, J. R. Murphy, J. P. Myers, D. Simberloff, and J. Verner. 1987. Report of the scientific advisory panel on the spotted owl. Condor 89:205-229.

den Boer, P. J. 1968. Spreading of risk and stabilization of animal numbers. Acta Biotheor. 18:165-194.

Dennis, B., P. L. Munholland, and J. Michael Scott. In press. Estimation of growth and extinction parameters for endangered species. Ecol. Monogr.

Dennis, B., and G. P. Patil. 1984. The gamma distribution and weighted multimodal gamma distributions as models of population abundance. Math. Biosci. 68:187-212.

Deriso, R. B., and A. M. Parma. 1988. Dynamics of age and size for a stochastic population model. Can. J. Fish. Aquat. Sci. 45:1054-1068.

Diamond, J. M. 1984. Distributions of New Zealand birds on real and virtual islands. N. Z. J. Ecol. 7:37-55.

Ewens, W. J. 1982. On the concept of the effective population size. Theor. Pop. Biol. 21:373-378.

Ewens, W. J., P. J. Brockwell, J. M. Gani, and S. I. Resnick. 1987. Minimum viable population size in the presence of catastrophes. In M. E. Soule (editor), Viable populations for conservation, p. 59-68. Cambridge Univ. Press, Cambridge.

Feldman, M. W., and J. Roughgarden. 1975. A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing. Theor. Pop. Biol. 7:197-207.

Feller, W. 1939. Die grundlagen der Volterraschen Theorie des Kampfes ums dasein in Wahrscheinlichkeitstheoretischer Behandlung. Acta Biotheor. 5:11-40.

Fergus, C. 1991. The Florida panther verges on extinction. Science 251:1178-1180.

Ferson, S., L. Ginzburg, and A. Silvers. 1989. Extreme event risk analysis for age-structured populations. Ecol. Model. 47:175-187.

Ferson, S., F. J. Rohlf, L. R. Ginzburg, and G. Jacquez. 1988. RAMAS/a user manual: Modeling fluctuations in age-structured populations. Exeter Publishing, Setauket, NY.

Foose, T. J. 1983. The relevance of captive populations to the conservation of biotic diversity. In C. M. Schonewald-Cox, S. M. Chambers, B. MacBryde, and W. L. Thomas (editors), Genetics and Conservation, p. 374-401. Benjamin/Cummings Publishing, Menlo Park, CA, 722 p.

Franklin, I. R. 1980. Evolutionary change in small populations. In M. E. Soule and

B. A. Wilcox (editors), Conservation biology: An evolutionary-ecological perspective, p. 135-149. Sinauer Assoc., Sunderland, MA.

Gilpin, M. E. 1987. Theory versus practice. Trends Ecol. Evol. 2:169.

Gilpin, M. E., and M. E. Soule. 1986. Minimum viable populations: Processes of species extinction. In M. E. Soule (editor), Conservation biology: The science of scarcity and diversity, p. 19-34. Sinauer Assoc., Sunderland, MA, 584 p.

Ginzburg, L. R., S. Ferson, and H. R. Akcakaya. 1990. Reconstructibility of density dependence and the conservative assessment of extinction risks. Conserv. Biol. 4:63-70.

Ginzburg, L. R., L. B. Slobodkin, K. Johnson, and A. G. Bindman. 1982. Quasiextinction probabilities as a measure of impact on population growth. Risk Anal. 2:171-181.

Goel, N. S., and N. Richter-Dyn. 1974. Stochastic models in biology. Academic Press, New York, 269 p.

Goel, N. S., S. C. Maitra, and E. W. Montroll. 1971. On the Volterra and other nonlinear models of interacting populations. Rev. Mod. Phys. 43:231-276.

Goodman, D. 1987a. Consideration of stochastic demography in the design and management of biological reserves. Nat. Res. Model. 1:205-234.

Goodman, D. 1987b. The demography of chance extinction. In M. E. Soule (editor), Viable populations for conservation, p. 11-34. Cambridge Univ. Press, Cambridge.

Grier, J. W. 1980a. Ecology: A simulation model for small populations of animals. Creative Computing 6(7):116-121.

Grier, J. W. 1980b. Modeling approaches to bald eagle population dynamics. Wildl. Soc. Bull. 8:316-322.

Gross, J. E., J. E. Roelle, and G. L. Williams. 1973. Program ONEPOP an information processor: a system modeling and communication project. Progress report, Colorado Cooperative Wildlife Research Unit, Colorado St. Univ., Ft. Collins, 327 p.

Groves, C. R., and T. W. Clark. 1986. Determining minimum population size for recovery of the black-footed ferret. Great Basin Nat. Mem. 8:150-159.

Hanson, F. B., and H. C. Tuckwell. 1978. Persistence times of populations with large random fluctuations. Theor. Pop. Biol. 14:46-61.

Harris, R. B., L. A. Maguire, and M. L. Shaffer. 1987. Sample sizes for minimum viable population estimation. Conserv. Biol. 1:72-76.

Hesse, M. 1965. The explanatory function of metaphor. In Y. Bar-Hillel (editor), Logic, methodology, and philosophy of science: Proceedings of the 1964 International Congress, p. 249-259. North Holland Publishing, Amsterdam.

Heyde, C. C., and J. E. Cohen. 1985. Confidence intervals for demographic projections based on products of random matrices. Theor. Pop. Biol. 27:120-153.

Hill, W. G. 1972. Effective size of populations with overlapping generations. Theor. Pop. Biol. 3:278-289.

Hill, W. G. 1979. A note on effective population size with overlapping generations. Genetics 92:317-322.

Hooper, M. D. 1971. The size and surroundings of nature reserves. In E. Duffey and A. S. Watt (editors), The scientific management of animal and plant communities for conservation, p. 555-561. Blackwell Scientific Publications, Oxford.

Johnson, N. L., and S. Kotz. 1970. Distributions in statistics: continuous univariate distributions, vol. 1. John Wiley and Sons, New York, 300 p.

Keiding, N. 1975. Extinction and exponential growth in random environments. Theor. Pop. Biol. 8:49-63.

Kendall, D. G. 1948. On the generalized "birth-and-death" process. Ann. Math. Stat. 19:1-15.

Kerner, E. H. 1957. A statistical mechanics of interacting biological species. Bull. Math. Biophys. 19:121-146.

Kerner, E. H. 1959. Further considerations on the statistical mechanics of biological associations. Bull. Math. Biophys. 21:217-255.

Knight, R. R., and L. L. Eberhardt. 1985. Population dynamics of Yellowstone grizzly bears. Ecol. 66:323-334.

LaCava, J., and J. Hughes. 1984. Determining minimum viable population levels. Wildl. Soc. Bull. 12:370-376.

Lacy, R. C. 1987. Loss of genetic diversity from managed populations: Interacting effects of drift, mutation, immigration, selection, and population subdivision. Cons. Biol. 1:143-158.

Lacy, R. C. 1991. VORTEX: Simulation model of stochastic population change. Unpubl. manuscr., 5 p. Chicago Zoological Society, Brookfield, IL 60513.

Lacy, R. C., and T. W. Clark. 1990. Population viability assessment of the eastern barred bandicoot in Victoria. In T. W. Clark and J. H. Seebeck (editors), The management and conservation of small populations, p. 131-146. Chicago Zoological Society, Brookfield, IL 60513.

Lacy, R. C., N. R. Plesness, and U. S. Seal. 1989. Puerto Rican parrot population viability analysis. Report to the U.S. Fish and Wildlife Service. Captive Breeding Specialist Group, Species Survival Commission, International Union for the Conservation of Nature, Apple Valley, MN.

Lande, R. 1987. Extinction thresholds in demographic models of territorial populations. Am. Nat. 130:624-635.

Lande, R. 1988. Genetics and demography in biological conservation. Science 241:1455-1460.

Lande, R., and G. F. Barrowclough. 1987. Effective population size, genetic variation, and their use in population management. In M. E. Soule (editor), Viable populations for conservation, p. 87-123. Cambridge Univ. Press, Cambridge.

Lande, R., and S. H. Orzack. 1988. Extinction dynamics of age-structured populations in a fluctuating environment. Proc. Natl. Acad. Sci. 85:7418-7421.

Lee, D. C., and J. B. Hyman. 1991. The stochastic life-cycle model (SLCM): A tool for simulating the population dynamics of anadromous salmonids. Unpubl. manuscr., 27 p. Resources for the Future, 1616 P Street NW, Washington, DC 20036.

Lehmkuhl, J. F. 1984. Determining size and dispersion of minimum viable populations for land management planning and species conservation. Env. Manage. 8:167-176.

Leigh, E. G. 1981. The average lifetime of a population in a varying environment. J. theor. Biol. 90:213-239.

Levins, R. 1969. The effect of random variations of different types of population growth. Proc. Nat. Acad. Sci. 62:1061-1065.

Lewontin, R. C., and D. Cohen. 1969. On population growth in a randomly varying environment. Proc. Nat. Acad. Sci. 62:1056-1060.

Ligon, J. D., P. B. Stacey, R. N. Conner, C. E. Bock, and C. S. Adkisson. 1986. Report of the American Ornithologists' Union committee for the conservation of the red-cockaded woodpecker. Auk 103:848-855.

Lindenmayer, D. B., V. C. Thomas, R. C. Lacy, and T. W. Clark. 1991. Population viability analysis (PVA): The concept and its applications, with a case study of Leadbeater's possum, Gymnobelideus leadbeateri McCoy. Report to the Forest and Timber Inquiry (Resource Assessment Commission), Canberra, Australia, 170 p.

Ludwig, D. 1975. Persistence of dynamical systems under random perturbations. SIAM Rev. 17:605-640.

MacArthur, R. H., and E. O. Wilson. 1967. The theory of island biogeography. Princeton Univ. Press, Princeton, NJ, 203 p.

Maguire, L. A. 1986. Using decision analysis to manage endangered species populations. J. Env. Manage. 22:345-360.

Maguire, L. A. 1991. Risk analysis for conservation biologists. Cons. Biol. 5:123-125

Marcot, B. G. 1986. Concepts of risk analysis as applied to viable population assessment and planning. In B. A. Wilcox, P. F. Brussard, and B. G. Marcot (editors), The management of viable populations: Theory, applications, and case studies, p. 89-101. Center for Conservation Biology, Department of Biological Sciences, Stanford Univ., Stanford, CA 94305.

Marcot, B. G., D. Carrier, and R. Holthausen. 1986. The northern spotted owl (Strix occidentalis caurina). In B. A. Wilcox, P. F. Brussard, and B. G. Marcot (editors), The management of viable populations: Theory, applications, and case studies, p. 123-145. Center for Conservation Biology, Department of Biological Sciences, Stanford Univ., Stanford, CA 94305.

Marcot, B. G., and R. Holthausen. 1987. Analyzing population viability of the spotted owl in the Pacific Northwest. Trans. N. Am. Wildl. Nat. Res. Conf. 52:333-347.

May, R. M., J. R. Beddington, J. W. Horwood, and J. G. Shepherd. 1978. Exploiting natural populations in an uncertain world. Math. Biosci. 42:219-252.

May, R. M. 1973. Stability and complexity in model ecosystems. Princeton Univ. Press, Princeton, NJ, 235 p.

Nehlsen, W., J. E. Williams, and J. A. Lichatowich. 1991. Pacific salmon at the crossroads: Stocks at risk from California, Oregon, Idaho, and Washington. Fisheries 16:4-21.

Nelson, K., and M. Soule. 1987. Genetical conservation of exploited fishes. In N. Ryman and F. Utter (editors), Population genetics and fishery management, p. 345-368. Univ. Washington Press, Seattle.

Peterman, R. M. 1981. Form of random variation in salmon smolt-to-adult relations and its influence on production estimates. Can. J. Fish. Aquat. Sci. 38:1113-1119.

Pojar, T. M. 1981. A management perspective of population modeling. In C. W. Fowler and T. D. Smith (editors), Dynamics of large mammal populations, p. 241-261. John Wiley and Sons, New York.

Polansky, P. J. 1978. Two-dimensional stochastic exponential growth models. J. Math. Biol. 6:333-342.

Polanyi, M. 1962. Personal knowledge. Univ. Chicago Press, Chicago, 428 p.

Poythress, V. S. 1983. Science as allegory. J. Am. Sci. Affil. 35:65-71.

Reed, J. M., P. D. Doerr, and J. R. Walters. 1986. Determining minimum population sizes for birds and mammals. Wildl. Soc. Bull. 14:255-261.

Reed, J. M., P. D. Doerr, and J. R. Walters. 1988. Minimum viable population size of the red-cockaded woodpecker. J. Wildl. Manage. 52:385-391.

Richter-Dyn, N., and N. S. Goel. 1972. On the extinction of a colonizing species. Theor. Pop. Biol. 3:406-433.

Rosenblueth, A., and N. Wiener. 1945. The role of models in science. Phil. Sci. 12:316-321.

Roughgarden, J. 1979. Theory of population genetics and evolutionary ecology: An introduction. MacMillan Publishing, New York, 634 p.

Roughgarden, J. 1983. Competition and theory in community ecology. Am Nat. 122:583-601.

Salwasser, H., R. S. Holthausen, and B. G. Marcot. 1986. Viable population policy in the national forests: Of laws and regulations. In B. A. Wilcox, P. F. Brussard, and B. G. Marcot (editors), The management of viable populations: Theory, applications, and case studies, p. 41-48. Center for Conservation Biology, Department of Biological Sciences, Stanford Univ., Stanford, CA 94305.

Salwasser, H., and B. G. Marcot. 1986. Viable population planning: A planning framework for viable populations. In B. A. Wilcox, P. F. Brussard, and B. G. Marcot (editors), The management of viable populations: Theory, applications, and case studies, p. 63-71. Center for Conservation Biology, Department of Biological Sciences, Stanford Univ., Stanford, CA 94305.

Salwasser, H., S. P. Mealey, and K. Johnson. 1984. Wildlife population viability: A question of risk. Trans. N. Am. Nat. Res. Conf. 49:421-439.

Samson, F. B., F. Perez-Trejo, H. Salwasser, and M. L. Shaffer. 1985. On determining and managing minimum population size. Wildl. Soc. Bull. 13:425-433.

Seal, U. S., and R. C. Lacy. 1989. Florida panther population viability analysis. Report to the U.S. Fish and Wildlife Service. Captive Breeding Specialist Group, Species Survival Commission, International Union for the Conservation of Nature, Apple Valley, MN.

Seal, U. S., and R. C. Lacy. 1990. Florida Key deer (Odocoileus virginianus clavium) population viability assessment. Report to the U.S. Fish and Wildlife Service. Captive Breeding Specialist Group, Species Survival Commission, International Union for the Conservation of Nature, Apple Valley, MN.

Shaffer, M. L. 1978. Determining minimum viable population sizes: A case study of the grizzly bear (Ursus arctos L.). Ph.D. thesis, Duke Univ., Durham, NC, 190 p.

Shaffer, M. L. 1981. Minimum population sizes for species conservation. BioScience 31:131-134.

Shaffer, M. L. 1983. Determining minimum viable population sizes for the grizzly bear. Intl. Conf. Bear Res. Manage. 5:133-139.

Shaffer, M. L. 1987. Minimum viable populations: Coping with uncertainty. In M. E. Soule (editor), Viable populations for conservation, p. 69-86. Cambridge Univ. Press, Cambridge.

Shaffer, M. L., and F. B. Samson. 1985. Population size and extinction: a note on determining critical population sizes. Am. Nat. 125:144-152.

Shull, A. M., and A. R. Tipton. 1987. Effective population size of bison on the Wichita Mountains Wildlife Refuge. Conserv. Biol. 1:35-41.

Simberloff, D. 1988. The contribution of population and community biology to conservation science. Ann. Rev. Ecol. Syst. 19:473-511.

Simon, R. C., J. D. McIntyre, and A. R. Hemmingsen. 1986. Family size and effective population size in a hatchery stock of coho salmon (Oncorhynchus kisutch). Can. J. Fish. Aquat. Sci. 43:2434-2442.

Soule, M. E. 1980. Thresholds for survival: Maintaining fitness and evolutionary potential. In M. E. Soule and B. A. Wilcox (editors), Conservation biology: An evolutionary-ecological perspective, p. 151-169. Sinauer Assoc., Sunderland, MA.

Soule, M. E. 1985. What is conservation biology? BioScience 35:727-734.

Soule, M. E. 1987. Where do we go from here? In M. E. Soule (editor), Viable populations for conservation, p. 175-183. Cambridge Univ. Press, Cambridge.

Soule, M. E., and K. A. Kohm. 1989. Research priorities for conservation biology. Island Press, Washington, DC, 97 p.

Soule, M. E., and D. Simberloff. 1986. What do genetics and ecology tell us about the design of nature reserves? Biol. Conserv. 35:19-40.

Soule, M. E., and B. A. Wilcox (editors). 1980. Conservation biology: An evolutionary-ecological perspective. Sinauer Assoc., Sunderland, MA, 395 p.

Suchy, W. J., L. L. McDonald, M. D. Strickland, and S. H. Anderson. 1985. New estimates of minimum viable population size for grizzly bears of the Yellowstone ecosystem. Wildl. Soc. Bull. 13:223-228.

Thibodeau, F. R. 1983. Endangered species: Deciding which species to save. Env. Manage. 7:101-107.

Thomas, C. D. 1990. What do real population dynamics tell us about minimum viable population sizes? Conserv. Biol. 4:324-327.

Tier, C., and F. B. Hanson. 1981. Persistence in density-dependent stochastic populations. Math. Biosci. 53:89-117.

Tuckwell, H. C. 1974. A study of some diffusion models of population growth. Theor. Pop. Biol. 5:345-357.

Tuljapurkar, S. D., and S. H. Orzack. 1980. Population dynamics in variable environments I. Long-run growth rates and extinction. Theor. Pop. Biol. 18:314-342.

Turelli, M. 1977. Random environments and stochastic calculus. Theor. Pop. Biol. 12:140-178.

U.S. Fish and Wildlife Service. 1985. Red-cockaded woodpecker recovery plan. Atlanta, GA.

Waples, R. S. 1991. Definition of "species" under the Endangered Species Act: Application to Pacific salmon. NOAA Tech. Memo. NMFS F/NWC-194, 29 p.

Waples, R. S. In press. Conservation genetics of Pacific salmon. II. Effective population size and the rate of loss of genetic variability. J. Hered. 81:000-000.

Waples, R. S., and D. J. Teel. 1990. Conservation genetics of Pacific salmon. I. Temporal changes in allele frequency. Cons. Biol. 4:144-156.

Watts, T., and W. Conley. 1981. Extinction probabilities in a remnant population of Ovis canadensis mexicana. Acta Theriol. 26:393-405.

Wigner, E. P. 1960. The unreasonable effectiveness of mathematics in the natural sciences. Commun. Pure Appl. Math. 13:1-14.

Wilcox, B. A. 1986. Extinction models and conservation. Trends Ecol. Evol. 1:46-48.

Williams, M. 1991. Fishermen on the line. Seattle Times, April 1, Section A, page 1.

Wright, S. 1931. Evolution in Mendelian populations. Genetics 16:97-159.

Zimmerman, B. L., and R. O. Bierregaard. 1986. Relevance of the equilibrium theory of island biogeography and species-area relations to conservation with a case from Amazonia. J. Biogeog. 13:133-143.


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