Simple stochastic models and their power-law type behaviour

Theoretical Population Biology

Volumn 58, Issue 1, 2000, Pages 21-31

  Keeling, Matt J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ECOLOGICAL MODELING; POWER RELATIONS; TIME SERIES ANALYSIS;

EID: 0033856612     PISSN: 00405809     EISSN: None     Source Type: Journal    
DOI: 10.1006/tpbi.2000.1475     Document Type: Article

References (20)

1. Anderson R. M., Gordon D. M., Crawley M. J., Hassell M. P. Variability in the abundance of animal and plant species. Nature. 296:1982;245-248.
2. Bartlett M. S. Measles periodicity and community size. J. R. Stat. Soc. A. 120:1957;48-70.
3. Bjørnstad O. N., Stenseth N. C., Saitoh T. Synchrony and scaling in dynamics of voles and mice in northern Japan. Ecology. 80:1999;622-637.
4. Blasius B., Huppert A., Stone L. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature. 399:1999;354-359.
5. Boag B., Hackett C. A., Topham P. B. The use of Taylor power law to describe the aggregated distribution of gastrointestinal nematodes of sheep. Int. J. Parasitol. 22:1992;267-270.
6. Earn D. J. D., Rohani P., Grenfell B. T. Persistence, chaos and synchrony in ecology and epidemiology. Proc. Roy. Soc. Lond. B. 265:1998;7-10.
7. Hanski I., Tiainen J. Bird ecology and Taylor variance-mean regression. Ann. Zool. Fennici. 26:1989;213-217.
8. Keeling M. J. Modelling the persistence of measles. Trends Microbiol. 5:1997;513-518.
9. Keeling M. J., Grenfell B. T. Stochastic dynamics and a power law for measles variability. Phil. Trans. R. Soc. Lond. B. 354:1999;769-776.
10. Keeling M. J., Mezic I., Hendry R. J., McGlade J., Rand D. A. Characteristic length scales of spatial models in ecology via fluctuation analysis. Phil. Trans. R. Soc. Lond. B. 352:1997;1589-1601.
11. Keitt T. H., Stanley H. E. Dynamics of North American breeding bird populations. Nature. 393:1998;257-260.
12. Perry J. N. Chaotic dynamics can generate Taylors power-law. Proc. R. Soc. Lond. B. 257:1994;221-226.
13. Perry J. N., Woiwod I. P. Fitting Taylor's power law. Oikos. 65:1992;538-542.
14. Ranta E., Kaitala V., Lindstrom J. Dynamics of Canadian lynx populations in space and time. Ecography. 20:1997;454-460.
15. Rhodes C. J., Jensen H. J., Anderson R. M. On the critical behaviour of simple epidemics. Proc. Roy. Soc. Lond. B. 264:1997;1639-1646.
16. Sutcliffe O. L., Thomas C. D., Moss D. Spatial synchrony and asynchrony in butterfly population-dynamics. J. Animal Ecol. 65:1996;85-95.
17. Swinton J., Harwood J., Grenfell B. T., Gilligan C. A. Persistence thresholds for phocine distemper virus infection in harbour seal Phoca vitulina metapopulations. J. Animal Ecol. 67:1998;54-68.
18. Tang C., Bak P. Critical exponents and scaling relations for self-organized critical phenomena. Phys. Rev. Lett. 60:1988;2347-2350.
19. Taylor L. R. Aggregation, variance and the mean. Nature. 189:1961;732-735.
20. Taylor L. R., Woiwod I. P. Temporal stability as a density-dependent species characteristic. J. Animal Ecol. 49:1980;209-224.