Effects of sample size on estimates of population growth rates calculated with matrix models

PLoS ONE

Volumn 3, Issue 8, 2008, Pages

  Fiske, Ian J ^a,d   Bruna, Emilio M ^a,b   Bolker, Benjamin M ^c  

^a UNIVERSITY OF FLORIDA   (United States)

^b SMITHSONIAN TROPICAL RESEARCH INSTITUTE   (Panama)

^c University of Florida   (United States)

^d NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; CONTROLLED STUDY; DEMOGRAPHY; GROWTH RATE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATRIX MODEL; NONHUMAN; PLANT DENSITY; POPULATION GROWTH; POPULATION RESEARCH; POPULATION SIZE; POPULATION STRUCTURE; SAMPLE SIZE; SPECIES DISTRIBUTION; STATISTICAL ANALYSIS; SURVIVAL RATE; BIOLOGICAL MODEL; CLASSIFICATION; CYTOLOGY; EPIDEMIOLOGY; FERTILITY; OBSERVER VARIATION; PLANT; PLANT PHYSIOLOGY; POPULATION DENSITY; POPULATION DYNAMICS; STATISTICAL MODEL;

DEMOGRAPHY; FERTILITY; MODELS, BIOLOGICAL; MODELS, STATISTICAL; OBSERVER VARIATION; PLANT PHYSIOLOGICAL PHENOMENA; PLANTS; POPULATION DENSITY; POPULATION DYNAMICS; POPULATION GROWTH; SAMPLE SIZE; SAMPLING STUDIES;

EID: 52649086894     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0003080     Document Type: Article

References (41)

1. Lefkovitch LP (1965) The study of population growth in organisms grouped by stages. Biometrics 21: 1-18.
2. Leslie PH (1945) On the use of matrices in certain population mathematics. Biometrika 33: 183-212.
3. Caswell H (2001) Matrix population models: construction, analysis, and interpretation. Sunderland: Sinauer Associates. 722 p.
4. Morris WF, Doak DF (2002) Quantitative conservation biology: theory and practice of population viability analysis. Sunderland: Sinauer Associates. 480 p.
5. Doak DF, Gross K, Morris WF (2005) Understanding and predicting the effects of sparse data on demographic analyses. Ecology 86: 1154-1163.
6. Gross K (2002) Efficient data collection for estimating growth rates of structured populations. Ecology 83: 1762-1767.
7. Münzbergová Z, Ehrlén J (2005) How best to collect demographic data for population viability analysis models. Journal of Applied Ecology 42: 1115-1120.
8. Karban R, Agrawal AA, Mangel M (1997) The benefits of induced defenses against herbivores. Ecology 78: 1351-1355.
9. Inouye BD (2005) The importance of the variance around the mean effect size of ecological processes: Comment. Ecology 86: 262-265.
10. Jensen J (1906) Sur les fonctions convexes et les inégualiés entre les valeurs moyennes. Acta Mathematica 30: 175-193.
11. Tuljapurkar S (1990) Population dynamics in variable environments. New York: Springer-Verlag. 154 p.
12. Horvitz CC, Schemske DW (1995) Spatiotemporal variation in demographic transitions of a tropical understory herb: projection matrix analysis. Ecological Monographs 65: 155-192.
13. Morris WT, Doak DF (2005) How general are the determinants of the stochastic population growth rate across nearby sites? Ecological Monographs 75: 119-137.
14. Boyce MS (1977) Population growth with stochastic fluctuation in the life table. Theoretical Population Biology 12: 366-373.
15. Daley DJ (1979) Bias in estimating the Malthusian parameter for Leslie matrices. Theoretical Population Biology 15: 257-263.
16. Lewontin RC, Cohen D (1969) On population growth in a randomly varying environment. Proceedings of the National Academy of Sciences of the United States of America 62: 1056-1060.
17. Kendall BE (1998) Estimating the magnitude of environmental stochasticity in survivorship data. Ecological Applications 8: 184-193.
18. White GC (2000) Population viability analysis: data requirements and essential analyses. In: Boitani L, Fuller TK, eds (2000) Research techniques in animal ecology: controversies and consequences. New York: Columbia University Press. pp 288-331.
19. Houllier F, Lebreton JD, Pontier D (1989) Sampling properties of the asymptotic-behavior of age-grouped or stage-grouped population-models. Mathematical Biosciences 95: 161-177.
20. Usher MB (1966) A matrix approach to management of renewable resources with special reference to selection forests. Journal of Applied Ecology 3: 355-&.
21. Linares C, Doak DF, Coma R, Diaz D, Zabala M (2007) Life history and viability of a long-lived marine invertebrate: The octocoral Paramuricea clavata. Ecology 88: 918-928.
22. Kendall BE, Fox GA (2002) Variation among individuals and reduced demographic stochasticity. Conservation Biology 16: 109-116.
23. Thompson SK (2002) Sampling. New York: Wiley. 367 p.
24. Bruna EM (2003) Are plants in rain forest fragments recruitment limited? Tests with an Amazonian herb. Ecology 84: 932-947.
25. Bruna EM, Kress WJ (2002) Habitat fragmentation and the demographic structure of an Amazonian understory herb (Heliconia acuminata). Conservation Biology 16: 1256-1266.
26. Bator S, Gignoux J, Vuattoux R, Legendre S (2000) Demography of a savanna palm tree in Ivory Coast (Lamto): population persistence and life-history. Journal of Tropical Ecology 16: 637-655.
27. Silvertown J, Franco M, Pisanty I, Mendoza A (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.
28. Franco M, Silvertown J (2004) Comparative demography of plants based upon elasticities of vital rates. Ecology 85: 531-538.
29. Wackerly DD, Mendenhall W, Scheaffer RL (2001) Mathematical statistics with applications. Pacific Grove: Duxbury. 853 p.
30. Oli MK (1994) Snow Leopards and Blue Sheep in Nepal: densities and predator-prey ratio. Journal of Mammalogy 75: 998-1004.
31. Dickinson KJM, Kelly D, Mark AF, Wells G, Clayton R (2007) What limits a rare alpine plant species? Comparative demography of three endemic species of Myosotis (Boraginaceae). Austral Ecology 32: 155-168.
32. Gross K, Morris WF, Wolosin MS, Doak DF (2006) Modeling vital rates improves estimation of population projection matrices. Population Ecology 48: 79-89.
33. Rogers-Bennett L, Rogers DW (2006) A semi-empirical growth estimation method for matrix models of endangered species. Ecological Modelling 195: 237-246.
34. Dixon PM, Ellison AM, Gotelli NJ (2005) Improving the precision of estimates of the frequency of rare events. Ecology 86: 1114-1123.
35. Easterling MR, Ellner SP, Dixon PM (2000) Size-specific sensitivity: Applying a new structured population model. Ecology 81: 694-708.
36. Ellner SP, Rees M (2006) Integral projection models for species with complex demography. American Naturalist 167: 410-428.
37. Berry F, Kress WJ (1991) Heliconia: an identification guide. Washington D.C., USA: Smithsonian Institution Press. 334 p.
38. Bierregaard RO, Gascon C, Lovejoy TE, Mesquita R, eds (2002) Lessons from Amazonia: the ecology and conservation of a fragmented forest. New Haven: Yale University Press. 478 p.
39. Hilborn R, Mangel M (1997) The ecological detective: confronting models with data. Princeton: Princeton University Press. 315 p.
40. Gelman A (2004) Bayesian data analysis. Boca Raton: Chapman & Hall/ CRC. 653 p.
41. R Development Core Team (2005) R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing.