Evaluating Extinction Risks in Plant Populations

  • Eric S. Menges


The ability to predict extinction risks is crucial to answering several recurring questions involving the conservation of plant species. Is a given reserve large enough to support a viable population? Is active intervention necessary to rescue a declining population (e.g., Burgman and Lamont 1992)? Should a small, unprotected population be ignored because it is doomed to extinction? Unfortunately, there are usually insufficient empirical data to answer these questions. One approach in the face of scarce data is the application of viability assessments based on stochastic population modeling. In this chapter, I explore stochastic viability models as a tool for gaining insight into which management regimes might best enhance population viability.


Environmental Stochasticity Conservation Biology Demographic Parameter Extinction Risk Extinction Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Literature Cited

  1. Alvarez-Buylla, E.R. 1994. Density dependence and patch dynamics in tropical rain forests: Matrix models and applications to a tree species. American Naturalist 143:155–191.CrossRefGoogle Scholar
  2. Alvarez-Buylla, E.R. and M. Slatkin. 1991. Finding confidence limits on population growth rates. Trends in Ecology and Evolution 6:221–224.CrossRefGoogle Scholar
  3. Alvarez-Buyulla, E.R. and M. Slatkin. 1994. Finding confidence limits on population growth rates: three real examples revised. Ecology 75:255–260.CrossRefGoogle Scholar
  4. Aplet, G.H., R.D. Laven, and R.B. Shaw. 1994. Application of transition matrix models to the recovery of the rare Hawaiian shrub, Tetramolopium arenarium (Asteraceae). Natural Areas Journal 114:99–106.Google Scholar
  5. Beissinger, S.R. 1995. Modeling extinction in periodic environments: Everglades water levels and snail kite population viability. Ecological Applications 5:618–631.CrossRefGoogle Scholar
  6. Bengtsson, K. 1993. Fumaria procumbens on Öland—population dynamics of a disjunct species at the northern limit of its range. Journal of Ecology 81:745–758.CrossRefGoogle Scholar
  7. Bierzychudek, P. 1982. The demography of jack-in-the-pulpit, a forest perennial that changes sex. Ecological Monographs 52:335–51.CrossRefGoogle Scholar
  8. Billington, H.I. 1991. Effect of population size on genetic variation in a dioecious conifer. Conservation Biology 5:115–119.CrossRefGoogle Scholar
  9. Bullock, J.M., B.C. Hill, and J. Silvertown. 1994. Demography of Cirsium vulgare in a grazing experiment. Journal of Ecology 82:101–111.CrossRefGoogle Scholar
  10. Burgman, M.A., S. Ferson, and H.R. Akcakaya. 1993. Risk assessment in conservation biology. London: Chapman and Hall.Google Scholar
  11. Burgman, M.A. and B.B. Lamont. 1992. A stochastic model for the viability of Banksia cuneata populations: Environmental, demographic, and genetic effects. Journal of Applied Ecology 29:719–727.CrossRefGoogle Scholar
  12. Burns, B.R. and J. Ogden. 1985. The demography of the temperate mangrove [Aricennia marina (Forsk.) Vierh.] at its southern limit in New Zealand. Australian Journal of Ecology 10:125–133.CrossRefGoogle Scholar
  13. Carlsson, B.A. and T.V. Callaghan. 1991. Simulation of fluctuating populations of Carex bigelowii tillers classified by type, age, and size. Oikos 60:231–240.CrossRefGoogle Scholar
  14. Caswell, H. 1983. Phenotypic plasticity in life history traits: Demographic effects and evolutionary consequences. American Zoologist 23:35–46.Google Scholar
  15. Caswell, H. 1989. Matrix population models. Sunderland, MA: Sinauer Associates.Google Scholar
  16. Caswell, H. and P. Werner. 1978. Transient behavior and life history analysis of teasel (Dipsacus sylvestris Huds.). Ecology 59:53–66.CrossRefGoogle Scholar
  17. Chapman, S.B., R.J. Reese, and R.T. Clarke. 1989. The behavior of populations of the marsh gentian (Gentiana pneumonanthe): a modeling approach. Journal of Applied Ecology 26:1059–1072.CrossRefGoogle Scholar
  18. Cipollini, M.L., D.A. Wallace-Senft, and D.F. Whigmam. 1994. A model of patch dynamics, seed dispersal, and sex ratio in the dioecious shrub Lindera benzoin (Lauraceae). Journal of Ecology 82:621–633.CrossRefGoogle Scholar
  19. Cochrane, M.E. and S. Ellner. 1992. Simple methods for calculating age-based life history parameters for stage-structured populations. Ecological Monographs 62:345–364.CrossRefGoogle Scholar
  20. Cohen, J.E. 1979a. Comparative statistics and stochastic dynamics of age-structured populations. Theoretical Population Biology 16:159–171.CrossRefGoogle Scholar
  21. Cohen, J.E. 1979b. Long-run growth rates of discrete multiplicative processes in Markovian environments. Journal of Mathematical Analysis and Applications 69:243–51.CrossRefGoogle Scholar
  22. DeKroon, H., A. Plaiser, J.M. Groenendael, and H. Caswell. 1986. Elasticity as a measure of the relative contribution of demographic parameters to population growth rate. Ecology 67:1427–1431.CrossRefGoogle Scholar
  23. Doak, D., P. Kareiva, and B. Klepetka. 1994. Modeling population viability for the desert tortoise in the western Mojave dessert. Ecological Applications 4:446–460.CrossRefGoogle Scholar
  24. Enright, N.J. 1982. The ecology of Araucaria species in New Guinea. III. Population dynamics of sample stands. Australian Journal of Ecology 7:227–37.CrossRefGoogle Scholar
  25. Enright, N.J. and J. Ogden. 1979. Applications of transition matrix models in forest dynamics: Araucaria in Papua New Guinea and Nothofagus in New Zealand. Australian Journal of Ecology 4:3–23.CrossRefGoogle Scholar
  26. Enright, N.J. and A.D. Watson. 1991. A matrix population model analysis for the tropical tree Araucaria cunninghamii. Australian Journal of Ecology 16:507–520.CrossRefGoogle Scholar
  27. Ferson, S. and M.A. Burgman. 1995. Correlations, dependency bounds, and extinction risks. Biological Conservation 73:101–105.Google Scholar
  28. Fiedler, P.L. 1987. Life history and population dynamics of rare and common mariposa lilies (Calochortus Pursh: Liliaceae). Journal of Ecology 75:977–95.CrossRefGoogle Scholar
  29. Fowler, N.L. 1995. Density-dependent demography in two grasses: A five-year study. Ecology 76:2145–2164.CrossRefGoogle Scholar
  30. Frankel, O.H. and M.E. Soulé. 1981. Conservation and evolution. Cambridge: Cambridge University Press.Google Scholar
  31. Franklin, I.R. 1980. Evolutionary change in small populations. In Conservation Biology: an evolutionary-ecological perspective, eds. M.E. Soulé and B.A. Wilcox, 134–50. Sunderland, MA: Sinauer Associates.Google Scholar
  32. Ginzburg, L.R., L.B. Slobodkin, K. Johnson, and A.G. Bindman. 1982. Quasiextinction probabilities as a measure of impact on growth. Risk Analysis 2:171–81.CrossRefGoogle Scholar
  33. Ginzburg, L.R., S. Ferson, and H.R. Akcakaya. 1990. Reconstructability of density dependence and the conservative assessment of extinction risks. Conservation Biology 4:63–73.CrossRefGoogle Scholar
  34. Goodman, D. 1987. The demography of chance extinction. In Viable populations for conservation, ed. M.E. Soulé, 11–34. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  35. Guerrant, E.O. 1995. Comparative demography of Erythronium elegans in two populations: One thought to be in decline (Lost Prairie) and one presumably healthy (Mt. Hebo): Interim report on three transitions, or ten years of data. Berry Botanical Garden, Portland, Oregon. 73 pp.Google Scholar
  36. Hamrick, J.L., M.J.W. Godt, D.A. Murawski, and M.D. Loveless. 1990. Correlations between species traits and allozyme diversity: Implications for conservation biology. In Genetics and conservation of rare plants. eds. D.A. Falk and K.E. Holsinger, 75–86. New York: Oxford University Press.Google Scholar
  37. Hartshorn, G.L. 1975. A matrix model of tree population dynamics. In Tropical ecological systems: Trends in terrestrial and aquatic research, eds. F.B. Golley and E. Medina, 454–51. New York: Springer-Verlag.Google Scholar
  38. Hastings, A. and S. Harrison. 1994. Metapopulation dynamics and genetics. Annual Review of Ecology and Systematics 25:167–188.CrossRefGoogle Scholar
  39. Heschel, M.S. and K.N. Paige. 1995. Inbreeding depression, environmental stress, and population size variation in Scarlet Gilia (Ipomopsis aggregata). Conservation Biology 9:126–133.CrossRefGoogle Scholar
  40. Holsinger, K.E. 1995. Population biology for policy makers. BioScience (Supplement):S10–S20.Google Scholar
  41. Horvitz, C.C. and D.W. Schemske. 1995. Spatiotemporal variation in demographic transitions of a tropical understory herb: Projection matrix analysis. Ecological Monographs 65:155–192.CrossRefGoogle Scholar
  42. Huenneke, L.F. 1991. Ecological implications of genetic variation in plant populations. In Genetics and conservation of rare plants, eds. D.A. Falk and K.E. Holsinger, 31–44. New York: Oxford University Press.Google Scholar
  43. Jain, S.K. 1976. The evolution of inbreeding in plants. Annual Review of Ecology and Systematics 7:469–495.CrossRefGoogle Scholar
  44. Kalisz, S. and M.A. McPeek. 1992. Demography of an age-structured annual: Resampled projection matrices, elasticity analyses, and seed bank effects. Ecology 73:1082–1093.CrossRefGoogle Scholar
  45. Karron, J.D. 1987. A comparison of levels of genetic polymorphism and self-compatibility in geographically restricted and widespread plant congeners. Evolutionary Ecology 1:47–58.CrossRefGoogle Scholar
  46. Lande, R. 1988. Genetics and demography in biological conservation. Science 241:1455–1460.CrossRefGoogle Scholar
  47. Lande, R. 1993. Risks of population extinction from demographic and environmental stochasticity and random catastrophes. American Naturalist 142:911–927.CrossRefGoogle Scholar
  48. Lande, R. 1995. Mutation and conservation. Conservation Biology 9:782–791.CrossRefGoogle Scholar
  49. Lefkovitch, L.P. 1965. The study of population growth in organisms grouped by stages. Biometrics 21:1–18.CrossRefGoogle Scholar
  50. Leigh, E.G., Jr. 1981. The average lifetime of a population in a varying environment. Journal of Theoretical Biology 90:213–39.CrossRefGoogle Scholar
  51. Lesica, P. and J.S. Shelly. 1995. Effects of reproductive mode on demography and life history in Arabis fecunda (Brassicaceae). American Journal of Botany 82:752–762.CrossRefGoogle Scholar
  52. Leslie, P.H. 1945. On the use of matrices in certain population mathematics. Biometrika 33:183–212.CrossRefGoogle Scholar
  53. Lewontin, R.L. and D. Cohen.1969. On population growth in a randomly varying environment. Proceedings of the National Academy of Science 62:1056–60.CrossRefGoogle Scholar
  54. Lindenmayer, D.B. and R.C. Lacy. 1995. A simulation study of the impacts of population subdivision on the mountain brushtail possum Trichosurus caninus Ogilby (Phalangeridae: Marsupialia) in south-eastern Australia. 1. Demographic stability and population persistence. Biological Conservation 73:119–129.Google Scholar
  55. Lynch, M., J. Conery, and R. Brger. 1995. Mutation accumulation and the extinction of small populations. American Naturalist 146:489–518.CrossRefGoogle Scholar
  56. May, R.M. 1973. Stability and complexity of model ecosystems. Princeton: Princeton University Press.Google Scholar
  57. McCarthy, M.A., M.A. Burgman, and S. Ferson. 1995. Sensitivity analysis for models of population viability. Biological Conservation 73:93–100.Google Scholar
  58. Meagher, T.R. 1986. Analysis of paternity within a natural population of Chamaelirium luteum. I. Identification of most likely male parents. American Naturalist 128:199–212.CrossRefGoogle Scholar
  59. Menges, E. 1990. Population viability analysis for an endangered plant. Conservation Biology 4:41–62.CrossRefGoogle Scholar
  60. Menges, E.S. 1991. The application of minimum viable population theory to plants. In Genetics and conservation of rare plants, eds. D.A. Falk and K.E. Holsinger, 45–61. New York: Oxford University Press.Google Scholar
  61. Menges, E.S. and D.R. Gordon. 1996. Three levels of monitoring intensity for rare plant species. Natural Areas Journal 16:227–237.Google Scholar
  62. Menges, E.S. and R.W. Dolan. In review. Demographic viability of populations of Silene regia in midwestern prairies: relationships with fire management, genetics, geography, population size, and isolation. Submitted to Journal of Ecology.Google Scholar
  63. Moloney, K.A. 1986. A generalized algorithm for determining category size. Oecologia 69:176–180.CrossRefGoogle Scholar
  64. Nantel, P., D. Gagnon, and A. Nault. 1996. Population viability analysis of American ginseng and wild leek harvested in stochastic environments. Conservation Biology 10:608–621.CrossRefGoogle Scholar
  65. Nault, A. and D. Gagnon. 1993. Ramet demography of Allium tricoccum, a spring ephemeral, perennial forest herb. Journal of Ecology 81:101–119.CrossRefGoogle Scholar
  66. Nunney, L. and K.A. Campbell. 1993. Assessing minimum viable population size: Demography meets population genetics. Trends in Ecology and Evology 8:234–240.CrossRefGoogle Scholar
  67. O’Conner, T.G. 1993. The influence of rainfall and grazing on the demography of some African savanna grasses: A matrix modeling approach. Journal of Applied Ecology 30:119–132.CrossRefGoogle Scholar
  68. Olmsted, I. and E.R. Alvarez-Buylla. 1995. Sustainable harvesting of tropical trees: Demography and matrix models of two palm species in Mexico. Ecological Applications 5:484–500.CrossRefGoogle Scholar
  69. Oostermeijer, J.G.B., M.W. van Eijck, and J.C.M. den Nijs. 1994. Offspring fitness in relation to population size and genetic variation in the rare perennial plant species Gentiana pneumonanthe (Gentianaceae). Oecologia 97:289–296.Google Scholar
  70. Oostermeijer, J.G.B., R. van’t Veer, and J.C.M. den Nijs. 1994. Population structure of the rare, long-lived perennial Gentiana pneumonanthe in relation to vegetation and management in the Netherlands. Journal of Applied Ecology 31:428–438.CrossRefGoogle Scholar
  71. Oostermeijer, J.G.B., M.W. van Eijck, N.C. van Leeuwen, and J.C.M. den Nijs. 1995. Analysis of the relationship between allozyme heterozygosity and fitness in the rare Gentiana pneumonanthe L. Journal of Evolutionary Biology 8:739–759.CrossRefGoogle Scholar
  72. Oostermeijer, J.G.B., M.L. Brugman, E.R. de Boer, and J.C. M. den Nijs. 1996. Temporal and spatial demographic variation in the rare perennial herb Gentiana pneumonanthe. Journal of Ecology 84:153–166.CrossRefGoogle Scholar
  73. Ouborg, N.J. and R. van Treuren. 1994. The significance of genetic erosion in the process of extinction 4. Inbreeding load and heterosis in relation to population size in the mint Salvia pratensis. Evolution 48:996–1008.Google Scholar
  74. Pavlik, B.M. 1994. Demographic monitoring and the recovery of endangered plants. In Restoration of endangered species, eds. M.L. Bowles and C.J. Whelan, 322–350. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  75. Piñero, D., M. Martinez-Ramos, and J. Sarukhan. 1984. A population model of Astrocaryum mexicanum and a sensitivity analysis of its finite rate of increase. Journal of Ecology 72:977–91.CrossRefGoogle Scholar
  76. Possingham, H.P. and I. Davies. 1995. ALEX: A model for the viability analysis of spatially structured populations. Biological Conservation 73:143–150.Google Scholar
  77. Prober, S.M. and A.H.D. Brown. 1994. Conservation of the grass box woodlands: Population genetics and fragmentation of Eucalyptus albens. Conservation Biology 8:1003–1013.CrossRefGoogle Scholar
  78. Raijman, L.E.L., N.C. van Leeuwen, R. Kersten, J.G.B. Oostermeijer, J.C.M. den Nijs, and S.B.J. Menken. 1994. Genetic variation and outcrossing rate in relation to population size in Gentiana pneumonanthe L. Conservation Biology 8:1014–1026.CrossRefGoogle Scholar
  79. Schemske, D.W., B.C. Husband, M.H. Ruckelshaus, C. Goodwillie, I.M. Parker, and J.G. Bishop. 1994. Evaluating approaches to the conservation of rare and endangered plants. Ecology 75:584–606.CrossRefGoogle Scholar
  80. Shaffer, M.L. 1981. Minimum population sizes for species conservation. BioScience 31:131–34.Google Scholar
  81. Shaffer, M.L.1987. Minimum viable populations: Coping with uncertainty. In Viable populations for conservation, ed. M.E. Soule, 69–86. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  82. Silander, J.A. 1985. The genetic basis of the ecological amplitude of Spartina patens. II. Variance and correlation analysis. Evolution 39:1034–52.CrossRefGoogle Scholar
  83. Silva, J.F., J. Raventos, H. Caswell, and M.C. Trevisan. 1991. Population responses to fire in a tropical savanna grass, Andropogon semiberbis: a matrix model approach. Journal of Ecology 79:345–356.CrossRefGoogle Scholar
  84. Silvertown, J., M. Franco, I. Pisanty, and A. Mendoza. 1993. Comparative plant demography: Relative importance of life cycle components to the finite rate of increase in woody and herbaceous perennials. Journal of Ecology 81:465–476.CrossRefGoogle Scholar
  85. Silvertown, J., M. Franco, and E. Menges. 1996. Interpretation of elasticity matrices as an aid to the managment of plant populations for conservation. Conservation Biology 10:591–597.CrossRefGoogle Scholar
  86. Stohlgren, T.J. and P.W. Rundel. 1986. A population model for a long-lived resprouting chaparral shrub: Adenostoma fasciculatum. Ecological Modeling 34:245–257.CrossRefGoogle Scholar
  87. Tuljapurkar, S.D., and S.H. Orzack. 1980. Population dynamics in variable environments. 1. Longrun growth rates and extinction. Theoretical Population Biology 18:314–42.CrossRefGoogle Scholar
  88. Vandermeer, J. 1978. Choosing category size in a stage projection matrix. Oecologia 32:79–84.CrossRefGoogle Scholar
  89. van Groenendael, J.M. and P. Slim. 1988. The contrasting dynamics of two populations of Plantago lanceolata classified by age and size. Journal of Ecology 76:585–599.CrossRefGoogle Scholar
  90. van Groenendael, J.M., H.D. de Kroon, S. Kalisz, and S. Tuljapurkar. 1994. Loop analysis: Evaluating life history pathways in population projection matrices. Ecology 75:2410–2415.CrossRefGoogle Scholar
  91. van Treuren, R., B. Bijlsma, W. van Delden, and N.J. Ouborg. 1991. The significance of genetic erosion in the process of extinction. I. Genetic differentiation in Salvia prutensis and Scabiosa columbaria in relation to population size. Heredity 66:181–189.CrossRefGoogle Scholar
  92. Werner, P.A. and H. Caswell. 1977. Population growth rates and age vs. size distribution models for teasel (Dipsacus silvestris Huds.). Ecology 58:1103.CrossRefGoogle Scholar
  93. Widen, B. 1993. Demographic and genetic effects on reproduction as related to population size in a rare, perennial herb, Senecio integrifolius. Biological Journal of the Linnean Society 50:179–195.CrossRefGoogle Scholar
  94. Wissel, C. And S.H. Zaschke. 1994. Stochastic birth and death processes describing minimum viable populations. Ecological Modeling 75/76:193–201.CrossRefGoogle Scholar

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