Raj. Taylor et al., VARIATION AND CONSISTENCY IN SPATIAL-DISTRIBUTION AS MEASURED BY TAYLORS POWER-LAW, Environmental entomology, 27(2), 1998, pp. 191-201
To investigate the spatial isotropy of Taylor's power law, data of the
aerial population densities of western newer thrips, Frankliniella oc
cidentalis (Pergande), were compared at 6 greenhouses in northeastern
Ohio. The distributions were the same in all 6 houses despite differen
ces in crop (host plant) and in thrips population growth and developme
nt. Comparison with data from the literature on F. occidentalis distri
butions obtained in houses with horticultural crops using closely simi
lar sampling methods revealed a consistency of distribution over a ran
ge of plant architectures. The consistency of power law results means
that the same sampling program may be used for F occidentalis in a var
iety of greenhouse crops. In contrast, samples taken within the canopy
of a cucumber crop resulted in Taylor's power laws significantly diff
erent fr om those obtained with samples taken above the canopy. Taylor
's power law appears to remain constant provided the same statistical
population is being sampled. Sampling the same reproductive population
under different conditions (e.g., stage, phenology, or habitat) can r
esult in different power law estimates, as reported by some authors. P
ossible reasons for power law differences and the significance of powe
r law constancy also are discussed. Tables for optimum sample size are
given for sampling F occidentalis in greenhouse crops using industry
standard yellow sticky cards. In addition, it is shown how the number
of samples required for a axed level of precision can be manipulated b
y varying the sampling efficiency or size of sampler.