William J. Reed, Ph.D. (Brit. Col.), Professor

Research Interests:

Selected Recent Papers

- Reed, W. J. 2000. Reconstructing the history of forest fire frequency: identifying hazard rate change points using the Bayes information criterion. Can. J. of Stat. 28: 352-365
- Reed, W. J. 1999. Forest fires and oilfields as percolation phenomena. PDF PS
- Reed, W. J. The Pareto, Zipf and other power laws. Economics Letters (2001) 74:15-19 PDF
- Reed, W. J. 2003. The Pareto law of incomes - an explanation and an extension (Physica A 319:469-486) PDF PS
- Reed, W. J. On the rank-size distribution for human settlements. J. Regional Science (2002) 41:1-17 PDF PS
- Reed, W. J. and M. Jorgensen, 2004. The double Pareto-lognormal distribution - A new parametric model for size distribution. Com. Stats -Theory & Methods, Vol. 33, No. 8., 1733-1753 PDF
- Reed, W. J. and K. S. McKelvey. Power law behaviour and parametric models for the size-distribution of forest fires. Ecological Modelling (2002) 150:239-254 PDF PS
- Reed, W. J. and B. D. Hughes. On the size distribution of live genera. J. Theor. Biol. 217 (2002) PS PDF
- Reed, W. J. and B. D. Hughes 2002. From gene families and genera to incomes and internet file sizes: why power-laws are so common in nature. Phys. Rev. E 66 067103 (2002) PDF
- Reed, W. J. and B. D. Hughes 2003. On the distribution of family names. (Physica A 319:579-590) PDF
- Reed, W. J. and B. D. Hughes 2004 A model explaining the size distribution of gene and protein families Matematical Biosciences, Vol. 189, No. 1, 97-102. PDF
- Hughes, B. D. and W. J. Reed. 2002. A problem in paleobiology. (arXiv:physics/0211090) PDF
- W. J. Reed and B. D. Hughes, 2003. Power-law distributions from exponential processes: an explanation for the occurrence of long-tailed distributions in biology and elsewhere. Scientiae Mathematicae Japonicae, Vol. 58, No. 2, 473 - 483. PDF
- Chan, D. Y. C, B. D. Hughes, A. S. Leong and W. J. Reed. 2003. Stochastically evolving networks. Phys. Rev. E. 68, 066124 (24 pp) PDF
- Reed, W. J. and E. A. Johnson, 2004 Using multiple fire scar data to estimate historical fire frequency Can. J. For. Res. 34:2306-2313.PDF
- Reed, W. J. 2004 On Pareto's law and the determinants of Pareto exponents J. Income Distribution 13:7-17 PDF
- Reed, W. J. 2006. The normal-Laplace distribution and its relatives. In Order Statistics and Inference, N. Balakrishna et al. (eds) Birkhauser.PDF
- Reed, W. J. 2006. A stochastic model for the spread of a sexually transmitted disease which results in a scale-free network. Math. Biosc. 201:3-14 .PDF
- Reed, W. J. 2006. A note on fire frequency concepts and definitions Can. J. Forest Res. 36:1884-1888. PDF
- Lesperance, M., W. J. Reed, M. A. Stephens, B. Wilton and A. Cartwright, 2006 Testing for Benford's law and possible fraud detection. Submitted to Statistical Science
- Phillimore, A, C. D. L. Orme, R. G. Davis, J. D. Hadfield, W. J. Reed, K. J. Gaston, R. P. Freckleton and R. P. F. Owens (2007) Biogeographical basis of recent phenotypic divergence among birds: a global study of subspecies richness. Evolution. 61:942-957
- Reed, W. J. 2007. Brownian-Laplace motion and its use in financial modelling. Comm. Stat. A, 36 473-484 PDF
- Reed, W. J. and B. D. Hughes 2007 Theoretical size distribution of fossil taxa: analysis of a null model. Theoretical Biology and Medical Modelling 4:12. Available online at www.tbiomedcentral.com/
- Reed, W. J. and Fan Wu, 2008. New four- and five- parameter models for income distributions. In: Modeling Income Distributions and Lorentz Curves, D. Chotikapanich (ed.) Springer.
- Reed, W. J. and A. Pewsey, 2009 Two nested families of skew-symmetric circular distributions. Test, 18:1133-0686. PDF
- Reed, W. J., 2008 Power-law adjusted survival models PDF
- Reed, W. J., 2010 A flexible parametric survival model which allows a bathtub shaped hazard rate function J. Applied Statistics PDF

Recent Students

- 1995. Peter Ott. M.Sc. Estimating the abundance of non-solitary animals - the effects of contagion on mark-recapture and removal methods.
- 1997. Tony Ho. M.Sc. Modelling the size distribution of wildfires
- 2000. Fangliang He. M.Sc. Estimating species abundance from binary maps
- 2008. Fan Wu. M.Sc. Applications of the normal-Laplace and generalized normal Laplace distributions.
- 2010. Zheng Sun. M.Sc. Comparing measures of fit for circular distributions.
- 2010. Angus Argyle. Ph. D. Estimating Population Size. In progress