Estimating Taylor's power law parameters for weeds and the effect of spatial scale

Weed Research

Volumn 36, Issue 5, 1996, Pages 405-417

  Clark, S J ^a   Perry, J N ^a   Marshall, E J P ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

POPULATION DENSITY; SPATIAL SCALE; TAYLOR'S POWER LAW; WEED; YIELD;

EID: 0030303065     PISSN: 00431737     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-3180.1996.tb01670.x     Document Type: Article

References (49)

1. AULD BA & TISDELL CA (1988) Influence of spatial distribution of weeds on crop yield loss. Plant Protection Quarterly 3, 81.
2. BARRALIS G. CHADOEUF R & GOUET J-P (1986) Essai de détermination de la taille de l'échantillon pour l'étude du potentiel semencier d'un sol. Weed Research 26, 291-7.
3. BERTI A, ZANIN G, BALDONI G, GRIGNANI C. MAZZONCINI M, MONTEMURRO P, TEI F, VAZZANA C & VIGGIANI P (1992) Frequency distribution of weed counts and applicability of a sequential sampling method to integrated weed management. Weed Research 32, 39-44.
4. BLISS CI (1941) Statistical problems in estimating populations of Japanese beetle larvae. Journal of Economic Entomology 34, 221-32.
5. BOAG B & TOPHAM PB (1984) Aggregation of plant parasitic nematodes and Taylor's power law. Nematologica 30, 348-57.
6. BRAIN P & COUSENS R (1990) The effect of weed distribution on predictions of yield loss. Journal of Applied Ecology 27, 735-42.
7. CHAUVEL B, GASQUEZ J & DARMENCY H (1989) Changes of weed seed bank parameters according to species, time and environment. Weed Research 29, 213-9.
8. CLARK SJ & PERRY JN (1994) Small sample estimation for Taylor's power law. Environmental and Ecological Statistics 1, 287-302.
9. COUSENS R (1985) A simple model relating yield loss to weed density. Annals of Applied Biology 107, 239-52.
10. COUSENS R & MORTIMER M (1995) Dynamics of Weed Populations. Cambridge: Cambridge University Press.
11. DESSAINT F, BARRALIS G. BEURET E, CAIXINHAS ML, POST BJ & ZANIN G (1990) Etude coopérative EWRS: la détermination du potentiel semencier: I. Recherche d'une relation entre la moyenne et la variance d'échantillonnage. Weed Research 30, 421-9.
12. DESSAINT F & CAUSSANEL J-P (1994) Trend surface analysis: a simple tool for modelling spatial patterns of weeds. Crop Protection 13, 433-8.
13. DESSAINT F, CHADOEUF R & BARRALIS G (1991) Spatial pattern analysis of weed seeds in the cultivated soil seed bank. Journal of Applied Ecology 28, 721-30.
14. DOWNING JA (1979) Aggregation, transformation, and the design of benthos sampling programs. Journal Fisheries Research Board of Canada 36, 1454-63.
15. GONZALEZ-ANDUJAR JL & PERRY JN (1995) Models for the herbicidal control of the seed bank of Avena sterilis: the effects of spatial and temporal heterogeneity and of dispersal. Journal of Applied Ecology 32, 578-87.
16. GREIG-SMITH P (1952) The use of random and contiguous quadrats in the study of the structure of plant communities. Annals of Botany 16, 293-316
17. HUGHES G (1990) The problem of weed patchiness. Weed Research 30, 223-5.
18. JOHNSON GA, MORTENSEN DA & MARTIN AR (1995) A simulation of herbicide use based on weed spatial distribution Weed Research 35, 197-205.
19. MARSHALL EJP (1985) Weed distributions associated with cereal field edges - some preliminary observations. Aspects of Applied Biology 9, 49-58
20. MARSHALL EJP (1988) Field-scale estimates of grass weed populations in arable land. Weed Research 28, 191-8.
21. MARSHALL EJP (1989) Distribution patterns of plants associated with arable field edges. Journal of Applied Ecology 26, 247-57.
22. MARSHALL EJP (1992) Weeds. In: Grieg-Smith P, Frampton G & Hardy A, eds Pesticides, Cereal Farming and the Environment: The Boxworth Project London: HMSO. 25-36.
23. MEAD R (1974) A test for spatial pattern at several scales using data from a arid of contiguous quadrats. Biometrics 30, 295-307.
24. NOWIERSKI RM, STORY JM & LUND RE (1987) Two-level numerical sampling plans and optimal subsample size computations for Urophora affinis and Urophora quadrifasciata (Diptera: Tephritidae) on spotted knapweed. Environmental Entomology 16, 933-7.
25. PERRY JN (1981) Taylor's power law for dependence of variance on mean in animal populations: patterns, problems and artefacts. Applied Statistics 30, 254-63.
26. PERRY JN (1994) Sampling and applied statistics for pests and diseases. In. Sampling to make decisions. Aspects of Applied Biology 37, 1-14.
27. PERRY JN (1995) Spatial aspects of animal and plant distribution in patchy farmland habitats. In: Glen DM, Greaves MP & Anderson HM (eds), Ecology and Integrated Farming Systems. Chichester, UK: Wiley, 221-42.
28. PERRY JN & GONZALEZ-ANDUJAR JL (1993) Dispersal in a metapopulation neighbourhood model of an annual plant with seedbank. Journal of Applied Ecology 81, 453-63.
29. REW LJ & CUSSANS GW (1995) Patch ecology and dynamics - how much do we know? Proceedings 1995 Brighton Crop Protection Conference - Weeds, 1059-68.
30. SAWYER AJ (1989) Inconstancy of Taylor's b: simulated sampling with different quadrat sizes and spatial distributions. Researches on Population Ecology 31, 11-24.
31. SOUTHWOOD TRE (1966) Ecological Methods London: Methuen.
32. TAYLOR LR (1961) Aggregation, variance and the mean. Nature 189, 732-5.
33. TAYLOR LR (1970) Aggregation and the transformation of counts of Aphis fabae Scop, on beans. Annals of Applied Biology 65, 181-9.
34. TAYLOR LR (1984) Assessing and interpreting the spatial distributions of insect populations. Annual Review of Entomology 29, 321-57.
35. TAYLOR LR (1986) Synoptic dynamics, migration and the Rothamsted Insect Survey. Journal of Animal Ecology 55, 1-38.
36. TAYLOR LR, PERRY JN, WOIWOD IP & TAYLOR RAJ (1988) Specificity of the spatial power-law exponent in ecology and agriculture. Nature 332, 721-2.
37. TAYLOR LR & WOIWOD IP (1982) Comparative synoptic dynamics. I. Relationships between inter- and intra-specific spatial and temporal variance/mean population parameters. Journal of Animal Ecology 51, 879-906.
38. TAYLOR LR, WOIWOD IP & PERRY JN (1978) The density-dependence of spatial behaviour and the rarity of randomness. Journal of Animal Ecology 47, 383-406.
39. TAYLOR LR, WOIWOD IP & PERRY JN (1979) The negative binomial as a dynamic ecological model for aggregation and the density-dependence of k. Journal of Animal Ecology 48, 289-304
40. TAYLOR LR, WOIWOD IP & PERRY JN (1980) Variance and the large scale spatial stability of aphids, moths and birds. Journal of Animal Ecology 49, 831-54.
41. THORNTON PK, FAWCETT RH, DENT JB & PERKINS TJ (1990) Spatial weed distribution and economic thresholds for weed control. Crop Protection 9, 337-42.
42. TURNER C, GONZALEZ-ANDUJAR JL & FERNANDEZ-QUINTANILLA C (1991) Wild oat (Avena sterilis L.) competition with winter barley: plant density effects. Weed Research 31, 301-7.
43. WILES LJ, GOLD HJ & WILKERSON GG (1993) Modelling the uncertainty of weed density estimates to improve post-emergence herbicide control decisions. Weed Research 33, 241-52.
44. WILSON BJ & BRAIN P (1990) Weed monitoring on a whole farm - patchiness and the stability of distribution of Alopecurus myosuroides over a ten year period. Proceedings 7th European Weed Research Society Symposium, Integrated Weed Management in Cereals. Helsinki 45-51.
45. WILSON BJ & BRAIN P (1991) Long-term stability of distribution of Alopecurus myosuroides Huds. within cereal fields. Weed Research 31, 367-73.
46. WILSON BJ & SCOTT JL (1982) Population trends of Avena fatua and Alopecurus myosuroides on a commercial arable and dairy farm. Proceedings 1982 British Crop Protection Conference - Weeds, Brighton 619-28.
47. WOIWOD IP & HARRINGTON R (1994) Flying in the face of change: The Rothamsted Insect Survey. In: Leigh RA & Johnstone EE, eds Long-term Experiments in Agricultural and Ecological Sciences. Wallingford, UK: CAB International, 321-42.
48. YAMAMURA K (1990) Sampling scale dependence of Taylor's power law. Oikos 59, 121-5.
49. ZANIN G, BERTI A & ZUIN C (1989) Estimation du stock semencier d'un sollabouré ou en semis direct. Weed Research 29, 407-17.