Variation and Consistency in Spatial Distribution as Measured by Taylor's Power Law

Environmental Entomology

Volumn 27, Issue 2, 1998, Pages 191-201

  Taylor, R A J ^a   Lindquist, R K ^a   Shipp, J L ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b AGRICULTURE AND AGRI FOOD CANADA   (Canada)

Author keywords

Aerial density; Frankliniella occidentalis; Horticultural crops; Sampling efficiency; Spatial distribution; Taylor's power law

Indexed keywords

EID: 0000900099     PISSN: 0046225X     EISSN: None     Source Type: Journal    
DOI: 10.1093/ee/27.2.191     Document Type: Article

References (43)

1. Allen, W. R., and A. B. Broadbent. 1986. Transmission of tomato spotted wilt virus in Ontario greenhouses by Frankliniella occidentalis. Can. J. Plant Pathol. 8: 33-38.
2. Berlinger, M. J., S. Lebiush-Mordechi, D. Fridja, R. Chyzik, M. Klein, Y. Ben Dov, and Y. Aharon. 1993. The development of an IPM program for greenhouse crops in Israel. IOBC/WPRS Bull. 16: 83-86.
3. Binns, M. R., and J. P. Nyrop. 1992. Sampling insect populations for the purpose of IPM decision making. Annu. Rev. Entomol. 37: 427-453.
4. Broadbent, A. B., W. R. Allen, and R. G. Foottit. 1987. The association of Frankliniella occidentalis (Pergande) (Thysanoptera: Thripidae) with greenhouse crops and the tomato spotted wilt virus in Ontario. Can. Entomol. 119: 501-503.
5. Brodsgaard, H. F. 1993. Colored sticky traps for thrips (Thysanoptera: Thripidae) monitoring on glasshouse cucumbers. IOBC/WPRS Bull. 16: 19-22.
6. Bulmer, M. G. 1967. Principles of statistics, 2nd ed. Oliver & Boyd, Edinburgh.
7. Clark, S. J., and J. N. Perry. 1994. Small sample estimation for Taylor's power law. Environ. Ecol. Stat. 1: 287-302.
8. Clark, S. J., J. N. Perry, and E.J.P. Marshall. 1996. Estimating Taylor's power law parameters for weeds and the effect of spatial scale. Weed Res. 36: 405-417.
9. Davis, P. M., and L. P. Pedigo. 1989. Analysis of spatial patterns and sequential count plans for stalk borer (Lepidoptera: Noctuidae). Environ. Entomol. 18: 504-509.
10. Downing, J. A. 1986. Spatial heterogeneity: evolved behaviour or mathematical artefact? Nature (Lond.) 323: 255-257.
11. Elliot, J. M. 1981. A quantitative study of the life cycle of the net-spinning caddis Philopatamus montanus (Trichoptera: Philopotamidae) in a Lake District stream. J. Anim. Ecol. 50: 867-883.
12. Gillespie, D. R., and R. S. Vernon. 1990. Trap catch of western flower thrips (Thysanoptera: Thripidae) as affected by color and height of sticky traps in mature greenhouse cucumber crops. J. Econ. Entomol. 83: 971-975.
13. Green, R. H. 1970. On fixed precision level sequential sampling. Res. Popul. Ecol. 12: 249-251.
14. Higgins, C. J. 1992. Western flower thrips (Thysanoptera: Thripidae) in greenhouses: population dynamics, distribution on plants, and associations with predators. J. Econ. Entomol. 85: 1891-1903.
15. Jones, V. P. 1990. Developing sampling plans for spider mites (Acari: Tetranychidae): those who don't remember the past may have to repeat it. J. Econ. Entomol. 83, 1656-1664.
16. Lindquist, R. K., M. L. Casey, W. L. Bauerle, and T. L. Short. 1987. Effects of an overhead misting system on thrips populations and spider mite-predator interactions on greenhouse cucumbers. OILB/SROP Bull. 10(2): 97-100.
17. Perry, J. N. 1981. Taylor's power law for dependence of variance on mean in animal populations. Appl. Stat. 30: 254-263.
18. Perry, J. N., and I. P. Woiwod. 1992. Fitting Taylor's power law. Oikos 65: 5:38-542.
19. Reed, J. P., F. R. Hall, R.A.J. Taylor, and H. R. Willson. 1991. Development of a corn rootworm (Diabrotica, Coleoptera: Chrysomelidae) larval threshold for Ohio. J. Kans. Entomol. Soc. 64: 60-68.
20. Riudavets, J., R. Gabarra, and C. Castane. 1993. Frankliniella occidentalis predation by native natural enemies. IOBC/WPRS Bull. 16: 137-140.
21. Robb, K. L. 1989. Analysis of Frankliniella occidentalis (Pergande) as a pest of floricultural crops in California greenhouses. Ph.D. dissertation, University of California, Riverside.
22. Ruesink, W. G. 1980. Introduction to sampling theory, pp. 61-78. In M. Kogan and D. C. Herzog [eds.], Sampling methods in soybean entomology. Springer New, York.
23. Sawyer, A. J. 1989. Inconstancy of Taylor's b: simulated sampling with different quadrat sizes and spatial distributions. Res. Popul. Ecol. 31: 11-24.
24. Shipp, J. L., and N. Zariffa. 1991. Spatial patterns of and sampling methods for western flower thrips (Thysanoptera: Thripidae) on greenhouse sweet peppers. Can. Entomol. 123: 989-1000.
25. Southwood, T.R.E. 1966. Ecological methods, 1st ed. Chapman & Hall, London.
26. Strassen, R. zur. 1986. Frankliniella occidentalis (Pergande 1895), a North American thrips (Thysanoptera) as a new inhabitant of European greenhouses. Nachrichtenbl. Dtsch. Pflanzenschutzdienst (Berl.) 38: 86-88.
27. Taylor, L. R. 1961. Aggregation, variance and the mean. Nature (Lond.) 189: 732-735. 1971. Aggregation as a species characteristic, pp. 357-377. In G. P. Patil, E. C. Pielou, and W. E. Waters [eds.], Statistical ecology, vol. 1. Spatial patterns and statistical distributions. Penn State Press, University Park, PA. 1974. Monitoring change in the distribution and abundance of insects. Ann. Rep. Rothamsted Exp. Stn. 1973(2): 202-239. 1984. Assessing and interpreting the spatial distributions of insect populations. Annu. Rev. Entomol. 29: 321-357.
28. Taylor, L. R. 1961. Aggregation, variance and the mean. Nature (Lond.) 189: 732-735. 1971. Aggregation as a species characteristic, pp. 357-377. In G. P. Patil, E. C. Pielou, and W. E. Waters [eds.], Statistical ecology, vol. 1. Spatial patterns and statistical distributions. Penn State Press, University Park, PA. 1974. Monitoring change in the distribution and abundance of insects. Ann. Rep. Rothamsted Exp. Stn. 1973(2): 202-239. 1984. Assessing and interpreting the spatial distributions of insect populations. Annu. Rev. Entomol. 29: 321-357.
29. Taylor, L. R. 1961. Aggregation, variance and the mean. Nature (Lond.) 189: 732-735. 1971. Aggregation as a species characteristic, pp. 357-377. In G. P. Patil, E. C. Pielou, and W. E. Waters [eds.], Statistical ecology, vol. 1. Spatial patterns and statistical distributions. Penn State Press, University Park, PA. 1974. Monitoring change in the distribution and abundance of insects. Ann. Rep. Rothamsted Exp. Stn. 1973(2): 202-239. 1984. Assessing and interpreting the spatial distributions of insect populations. Annu. Rev. Entomol. 29: 321-357.
30. Taylor, L. R. 1961. Aggregation, variance and the mean. Nature (Lond.) 189: 732-735. 1971. Aggregation as a species characteristic, pp. 357-377. In G. P. Patil, E. C. Pielou, and W. E. Waters [eds.], Statistical ecology, vol. 1. Spatial patterns and statistical distributions. Penn State Press, University Park, PA. 1974. Monitoring change in the distribution and abundance of insects. Ann. Rep. Rothamsted Exp. Stn. 1973(2): 202-239. 1984. Assessing and interpreting the spatial distributions of insect populations. Annu. Rev. Entomol. 29: 321-357.
31. Taylor, L. R., I. P. Woiwod, and J. N. Perry. 1978. The density dependence of spatial behaviour and the rarity of randomness. J. Anim. Ecol. 47: 383-406 1979a. The negative binomial as an ecological model and the density-dependence of k. J. Anim. Ecol. 48: 289-304. 1980. Variance and the large scale spatial stability of aphids, moths and birds. J. Anim. Ecol. 49: 831-854.
32. Taylor, L. R., I. P. Woiwod, and J. N. Perry. 1978. The density dependence of spatial behaviour and the rarity of randomness. J. Anim. Ecol. 47: 383-406 1979a. The negative binomial as an ecological model and the density-dependence of k. J. Anim. Ecol. 48: 289-304. 1980. Variance and the large scale spatial stability of aphids, moths and birds. J. Anim. Ecol. 49: 831-854.
33. Taylor, L. R., I. P. Woiwod, and J. N. Perry. 1978. The density dependence of spatial behaviour and the rarity of randomness. J. Anim. Ecol. 47: 383-406 1979a. The negative binomial as an ecological model and the density-dependence of k. J. Anim. Ecol. 48: 289-304. 1980. Variance and the large scale spatial stability of aphids, moths and birds. J. Anim. Ecol. 49: 831-854.
34. Taylor, L. R., I. P. Woiwod, and R.A.J. Taylor. 1979b. The migratory ambit of the hop aphid and its significance in aphid population dynamics. J. Anim. Ecol. 48: 955-972.
35. Taylor, L. R., R.A.J. Taylor, I. P. Woiwod, and J. N. Perry. 1983. Behavioural dynamics. Nature (Lond.) 303: 801-804.
36. Taylor, L. R., J. N. Perry, I. P. Woiwod, and R.A.J. Taylor. 1988. Specificity of the spatial power-law exponent in ecology and agriculture. Nature (Lond.) 332: 721-722.
37. Taylor, R.A.J. 1987. On the accuracy of insecticide efficacy reports. Environ. Entomol. 16: 1-8. 1992. Simulating populations obeying Taylor's power law, pp. 295-311. In D. L. DeAngelis and L. J. Gross [eds.], Individual-based approaches in ecology. Routledge, Chapman & Hall, New York.
38. Taylor, R.A.J. 1987. On the accuracy of insecticide efficacy reports. Environ. Entomol. 16: 1-8. 1992. Simulating populations obeying Taylor's power law, pp. 295-311. In D. L. DeAngelis and L. J. Gross [eds.], Individual-based approaches in ecology. Routledge, Chapman & Hall, New York.
39. Taylor, R.A.J., M. L. McManus, and C. W. Pitts. 1991. The absolute efficiency of gypsy moth, Lymantia dispar (Lepidoptera, Lymantriidae), milk-carton pheromone traps. Bull. Entomol. Res. 81: 111-118
40. Trumble, J. T. 1985. Implications of changes in arthropod distribution following chemical application. Res. Popul. Ecol. 27: 277-285.
41. Trumble, J. T., M. J. Brewer, A. M. Shelton, and J. P. Nyrop. 1989. Transportability of fixed precision level sampling plans. Res. Popul. Ecol. 31: 325-342.
42. Vernon, R. S., and D. R. Giliespie. 1990a. Response of Frankliniella occidentalis (Thysanoptera: Thripidae) and Trialeurodes vaporariorum (Homoptera: Aleyrodidae) to fluorescent traps in a cucumber greenhouse. J. Entomol. Soc. B.C. 87: 38-41. 1990b. Spectral responsiveness of Frankliniella occidentalis (Thysanoptera: Thripidae) determined by trap catches in greenhouses. Environ. Entomol. 19: 1229-1241.
43. Vernon, R. S., and D. R. Giliespie. 1990a. Response of Frankliniella occidentalis (Thysanoptera: Thripidae) and Trialeurodes vaporariorum (Homoptera: Aleyrodidae) to fluorescent traps in a cucumber greenhouse. J. Entomol. Soc. B.C. 87: 38-41. 1990b. Spectral responsiveness of Frankliniella occidentalis (Thysanoptera: Thripidae) determined by trap catches in greenhouses. Environ. Entomol. 19: 1229-1241.