Calculating the variance of the finite rate of population change from a matrix model in Mathematica

Environmental Modelling and Software

Volumn 22, Issue 3, 2007, Pages 359-364

  Skalski, John R ^a   Millspaugh, Joshua J ^b   Dillingham, Peter ^a   Buchanan, Rebecca A ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

Delta method; Eigenvalue; Lambda; Leslie matrix; Rate of increase; Wildlife

Indexed keywords

DELTA METHODS; INCREASE RATE; LAMBDA; LESLIE MATRIX; WILDLIFE;

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; MONTE CARLO METHODS; PARAMETER ESTIMATION;

POPULATION STATISTICS;

MATHEMATICAL ANALYSIS; MATRIX; MONTE CARLO ANALYSIS; POPULATION DYNAMICS; SENSITIVITY ANALYSIS; UNCERTAINTY ANALYSIS; VARIANCE ANALYSIS;

ANIMALIA; BUTEO SOLITARIUS;

EID: 33749519791     PISSN: 13648152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.envsoft.2005.12.003     Document Type: Article

References (21)

1. Alvarez-Buylla E.R., and Slatkin M. Review: finding confidence limits on population growth rates. Trends in Ecology and Evolution 6 (1991) 221-224
2. Alvarez-Buylla E.R., and Slatkin M. Finding confidence limits on population growth rates: Monte Carlo test of a simple analytic method. Oikos 68 (1993) 273-282
3. Alvarez-Buylla E.R., and Slatkin M. Finding confidence limits on population growth rates: three real examples revised. Ecology 75 (1994) 255-260
4. Blakesley J.A., Noon B.R., and Shaw D.W.H. Demography of the California spotted owl in northeastern California. Condor 103 (2001) 667-677
5. Caswell H. Matrix Population Models. Construction, Analysis, and Interpretation (2001), Sinauer Associates, Sunderland, Massachusetts
6. Caswell H., Brault S., Read A.J., and Smith T.D. Harbor porpoise and fisheries: an uncertainty analysis of incidental mortality. Ecological Applications 8 (1998) 1226-1238
7. Dennis B., Munholland P.L., and Scott J.M. Estimation of growth and extinction parameters for endangered species. Ecological Monographs 61 (1991) 115-143
8. Franklin A.B., Anderson D.R., Gutiérrez R.J., and Burnham K.P. Climate, habitat quality, and fitness in northern spotted owl populations in northwestern California. Ecological Monographs 70 (2000) 539-590
9. Klavitter J.L., Marzluff J.M., and Vekasy M.S. Abundance and demography of the Hawaiian hawk: is delisting warranted?. Journal of Wildlife Management 67 (2003) 165-176
10. Lande R. Demographic models of the northern spotted owl (Strix occidentalis caurina). Oecologia 75 (1988) 601-607
11. Leon S.J. Linear Algebra with Applications. third ed. (1990), Macmillan, New York, NY
12. Leslie P.H. On the use of matrices in certain population mathematics. Biometrika 33 (1945) 183-212
13. McLellan B.N. Dynamics of a grizzly bear population during a period of industrial resource extraction. III. Natality and rate of increase. Canadian Journal of Zoology 67 (1989) 1865-1868
14. Meyer J.S., Ingersoll C.G., McDonald L.L., and Boyce M.S. Estimating uncertainty in population growth rates: jackknife vs. bootstrap techniques. Ecology 67 (1986) 1156-1166
15. Mills L.S., Doak D.F., and Wisdom M.J. Reliability of conservation actions based on elasticity analysis of matrix models. Conservation Biology 13 (1999) 815-829
16. Taberner A., Castañera P., Silvestre E., and Dopazo J. Estimation of the intrinsic rate of natural increase and its error by both algebraic and resampling approaches. Cabios 9 (1993) 535-540
17. Seber G.A.F. The Estimation of Animal Abundance (1982), Macmillan, New York, NY
18. Skalski J.R., Ryding K.E., and Millspaugh J.J. Wildlife Demography: Analysis of Sex, Age, and Count Data (2005), Elsevier, New York, NY
19. Tait D.E.N., and Bunnell F.L. Estimating rate of increase from age at death. Journal of Wildlife Management 44 (1980) 296-299
20. Van Sickle J., Attwell C.A.M., and Craig G.C. Estimating population growth rate from an age distribution of natural deaths. Journal of Wildlife Management 51 (1987) 941-948
21. Yegnan A., Williamson D.G., and Graettinger A.J. Uncertainty analysis in air dispersion modeling. Environmental Modelling and Software 17 (2002) 639-649