Integral projection models for populations in temporally varying environments

Ecological Monographs

Volumn 79, Issue 4, 2009, Pages 575-594

  Mark, Rees ^a   Ellner, Stephen P ^b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b Cornell University ^*  (United States)

Author keywords

Carlina vulgaris; Evolutionarily stable strategies; Function valued traits; Integral projection model; Life table response experiment; Mixedmodels; Population forecasting; Random environment; Sensitivity analysis; Stochastic growth rate; Structured population; Temporal variability

Indexed keywords

ANNUAL VARIATION; DATA ACQUISITION; ECOLOGICAL MODELING; EVOLUTIONARY BIOLOGY; HIERARCHICAL SYSTEM; PARAMETERIZATION; PLANT COMMUNITY; POPULATION DENSITY; POPULATION STRUCTURE; PROBABILITY; REGRESSION ANALYSIS; SENSITIVITY ANALYSIS; STOCHASTICITY; TEMPORAL VARIATION; WEED;

ANIMALIA; CARLINA; CARLINA VULGARIS; CIRSIUM;

EID: 70350246112     PISSN: 00129615     EISSN: 15577015     Source Type: Journal    
DOI: 10.1890/08-1474.1     Document Type: Article

References (53)

1. Benaïm, M., and S. J. Schreiber. 2009. Persistence of structured populations in random environments. Theoretical Population Biology 76:19-34.
2. Bröström, G. 2008. glmmML: generalized linear models with clustering. R package version 0.72-0 R Foundation for Statistical Computing, Vienna, Austria.
3. Cam, E., W. A. Link, E. G. Cooch, J. Y. Monnat, and E. Danchin. 2002. Individual covariation in life-history traits: seeing the trees despite the forest. American Naturalist 159: 96-105. (Pubitemid 34077594)
4. Caswell, H., 2001. Matrix population models: construction, analysis and interpretation. Second edition. Sinauer, Sunderland, Massachusetts, USA.
5. Childs, D. Z., M. Rees, K. E. Rose, P. J. Grubb, and S. P. Ellner. 2003. Evolution of complex flowering strategies: an age- and size-structured integral projection model. Proceedings of the Royal Society B 270:1829-1838.
6. Childs, D. Z., M. Rees, K. E. Rose, P. J. Grubb, and S. P. Ellner. 2004. Evolution of size-dependent flowering in a variable environment: construction and analysis of a stochastic integral projection model. Proceedings of the Royal Society B 271:425-434.
7. Clark, J. S., M. Dietze, S. Chakraborty, P. K. Agarwal, I. Ibanez, S. LaDeau, and M. Wolosin. 2007. Resolving the biodiversity paradox. Ecology Letters 10:647-659.
8. de Jong, T. J., P. G. L. Klinkhamer, and J. L. H. de Heiden. 2000. The evolution of generation time in metapopulations of monocarpic perennial plants: some theoretical considerations and the example of the rare thistle Carlina vulgaris, Evolutionary Ecology 14:213-231.
9. Dennis, B., R. A. Desharnais, J. M. Cushing, S. M. Henson, and R. F. Costantino. 2001. Estimating chaos and complex dynamics in an insect population. Ecological Monographs 71:277-303. (Pubitemid 32442450)
10. Dieckmann, U., M. Heino, and K. Parvinen. 2006. The adaptive dynamics of function-valued traits. Journal of Theoretical Biology 241:370-389.
11. Doak, D. F., W. F. Morris, C. Pfister, B. E. Kendall, and E. M. Bruna. 2005. Correctly estimating how environmental stochasticky influences fitness and population growth. American Naturalist 166:E14-E21.
12. Easterling, M. R., S. P. Ellner, and P. M. Dixon. 2000. Sizespecific sensitivity: applying a new structured population model. Ecology 81:694-708.
13. Ellner, S. P., and J. Fieberg. 2003. Using PVA for management despite uncertainty: effects of habitat, hatcheries, and harvest on salmon. Ecology 84:1359-1369.
14. Ellner, S. P., and J. Guckenheimer. 2006. Dynamics models in biology. Princeton University Press, Princeton, New Jersey, USA.
15. Ellner, S. P., and M. Rees. 2006. Integral projection models for species with complex demography. American Naturalist 167: 410-428.
16. Ellner, S. P., and M. Rees. 2007. Stochastic stable population growth in integral projection models: theory and application. Journal of Mathematical Biology 54:227-256.
17. Eriksson, A., and O. Eriksson. 1997. Seedling recruitment in semi-natural pastures: the effects of disturbance, seed size, phenology and seed bank. Nordic Journal, of Botany 17:469482. (Pubitemid 28037969)
18. Ghidey, W., E. Lesaffre, and P. Eilers. 2004. Smooth, random effects distribution in a linear mixed, model. Biometrics 60: 945-953. (Pubitemid 40019036)
19. Gross, K., W. F. Morris, M. S. Wolosin, and. D. F. Doak. 2006. Modeling vital rates improves estimation of population projection matrices. Population Ecology 48:79-89.
20. Hairston, N. G., Jr., S. Ellner, and C. M. Kearns. 1.996. Overlapping generations: the storage effect and the maintenance of biotic diversity. Pages 109-145 in O. E. Rhodes, R. K. Chesser, and M. H. Smith, editors. Population dynamics in ecological space and time. University of Chicago Press, Chicago, Illinois, USA.
21. Halley, J. M., and P. Inchausti. 2004. The increasing importance of 1/f-noises as models of ecological variability. Fluctuation and Noise Letters 4:R1-R26. (Pubitemid 40111636)
22. Hardin, D. P., P. Takáč, and. G. F. Webb. 1988. Asymptotic properties of a continuous-space discrete-time population model in a random environment. Journal, of Mathematical Biology 26:361-374.
23. Haridas, C. V., and S. Tuljapurkar. 2005. Elasticities in variable environments: properties and implications. American Naturalist 166:481-495.
24. Kendall, B. E. 1998. Estimating the magnitude of environmental stochasticky in survivorship data. Ecological Applications 8:184-193.
25. Klinkhamer,P. G. L., T. J. de Jong, and J. L. H. de Heiden. 1996. An 8-year study of population-dynamics and life-history variation of the biennial Carlina vulgaris. Oikos 75:259-268.
26. Klinkhamer, P. G. L., T. J. de Jong, and E. Meelis. 1991. The control of flowering in the monocarpic perennial Carlina vulgaris. Oikos 61:88-95.
27. Lande, R. 2007. Expected relative fitness and the adaptive topography of fluctuating selection. Evolution 61:1835-1846. (Pubitemid 47220949)
28. Lande, R. 2008. Adaptive topography of fluctuating selection in a Mendelian population. Journal of Evolutionary Biology 21: 1096-1105. (Pubitemid 351832268)
29. Lande, R., and S. J. Arnold. 1983. The measurement of selection on correlated characters. Evolution 37:1210-1226.
30. Lunn, D. J., A. Thomas, N. Best, and D. Spiegelhalter. 2000. WinBUGS-a Bayesian modelling framework: concepts, structure, and extensibility. Statistics and Computing 10: 325-337.
31. McCullough, C. E., and S. R. Searle. 2001. Generalized, linear, and mixed models. John Wiley and Sons, New York, New York, USA.
32. Merila, J., B. C. Sheldon, and L. E. B. Kruuk. 2001. Explaining stasis: microevolutionary studies in natural populations. Genetica 112:199-222. (Pubitemid 34119661)
33. Metcalf, C. J. E., M. Rees, J. M. Alexander, and. K. Rose. 2006. Growth-survival trade-offs and allometries in rosette-forming perennials. Functional Ecology 20:217-225.
34. Metcalf, C. J. E., K. E. Rose, D. Z. Childs, A. W. Sheppard, P. J. Grubb, and M. Rees. 2008. Evolution of flowering decisions in a stochastic, density-dependent environment. Proceedings of the National Academy of Sciences (USA) 105: 10466-10470.
35. Metcalf, J. C., K. E. Rose, and M. Rees. 2003. Evolutionary demography of monocarpic perennials. Trends in Ecology and Evolution 18:471-480.
36. Metcalf, C. J. E., D. A. Stevens, M. Rees, S. M. Louda, and K. H. Keeler. 2009. Using Bayesian inference to understand the allocation of resources between sexual and asexual, reproduction. Journal of the Royal Statistical Society- Series C 58:143-170.
37. Morris, W. F., and D. F. Doak. 2002. Quantitative conservation biology: theory and practice of population viability analysis. Sinauer, Sunderland, Massachusetts, USA.
38. Parvinen, K., U. Dieckmann, and M. Heino. 2006. Functionvalued adaptive dynamics and the calculus of variations. Journal of Mathematical Biology 52:1-26. (Pubitemid 41830873)
39. Pinheiro, J. C., and D. M. Bates. 2000. Mixed-effects models in S and S-Plus. Springer-Verlag, London, UK.
40. R Development Core Team. 2007. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria.
41. Ramsay, J. O., and B. W. Silverman. 2005. Functional data analysis. Second edition. Springer-Verlag, New York, New York, USA.
42. Rees, M., D. Z. Childs, J. C. Mietealf, K. E. Rose, A. W. Sheppard, and P. J. Grubb. 2006. Seed dormancy and delayed flowering in monocarpic plants: selective interactions in a stochastic environment. American Naturalist 168:E53-E71.
43. Rees, M., D. Z. Childs, K. E. Rose, and P. J. Grubb. 2004. Evolution of size dependent flowering in a variable environment: partitioning the effects of fluctuating selection. Proceedings of the Royal Society B 271:471-475. (Pubitemid 38283140)
44. Rees, M., M. Mangel, L. A. Turnbull, A. Sheppard, and D. Briese. 2000. The effects of heterogeneity on dispersal and colonisation in plants. Pages 237-265 in M. J. Hutchings, E. A. John, and A. J. A. Stewart, editors. Ecological, consequences of environmental heterogeneity. Blackwell, Oxford, UK.
45. Rees, M., and K. E. Rose. 2002. Evolution of flowering strategies in Oenothera glazioviana: an integral projection model approach. Proceedings of the Royal Society B 269: 1509-1515.
46. Rose, K. E., M. Rees, and P. J. Grubb. 2002. Evolution in the real world: stochastic variation and the determinants of fitness in Carlina vulgaris, Evolution 56:1416-1430.
47. Sœther, B.E., S. Engen, R. Lande, P. Arcese, and J. N. M. Smith. 2000. Estimating the time to extinction in an island population of song sparrows. Proceedings of the Royal Society B 267:621-626.
48. Spiegelhalter, D., A. Thomas, N. Best, W. Gilks, and D. Lunn. 2003. BUGS: Bayesian inference using Gibbs sampling. MRC Biostatistics Unit, Cambridge, UK.
49. Tuljapurkar, S. 1990. Population dynamics in variable environments. Springer-Verlag, London, UK.
50. Tuljapurkar, S., and C. V. Haridas. 2006. Temporal autocorrelation and stochastic population growth. Ecology Letters 9: 324-334.
51. Tuljapurkar, S., C. C. Horvitz, and J. B. Pascarella. 2003. The many growth rates and elasticities of populations in random environments. American Naturalist 162:489-502. (Pubitemid 37425188)
52. Williams, J. L., and E. E. Crone. 2006. The impact of invasive grasses on the population growth of Anemone patens, a longlived native forb. Ecology 87:3200-3208.
53. Zhang, D. W., and M. Davidian. 2001. Linear mixed models with flexible distributions of random effects for longitudinal data. Biometrics 57:795-802. (Pubitemid 32801176)