J. Oksanen et T. Tonteri, RATE OF COMPOSITIONAL TURNOVER ALONG GRADIENTS AND TOTAL GRADIENT LENGTH, Journal of vegetation science, 6(6), 1995, pp. 815-824
A new measure of compositional turnover rate at any gradient point is
proposed. The absolute values of the derivatives of estimated species
response curves are used to estimate the instantaneous rate of change
of the community. The total gradient length can be found by integratin
g the instantaneous turnover rates over the gradient span. Both the in
stantaneous rate and total gradient length have been known under the n
ame of beta diversity. Our method is elaborated for the Gaussian respo
nse function. It is compared to Hill's SD measure, much used for estim
ating the gradient length in connection of Detrended Correspondence An
alysis with non-linear rescaling for axes. The turnover rate along a c
anopy cover gradient in forest vegetation in Finland was used as an ex
ample. Forest site type and stand age were used as subsidiary gradient
s. The two ways to compute Hill's scaling gave very different results
and were not comparable with the new method. The turnover rate was dep
endent on the gradient position. However, the turnover rate along the
gradient of interest and its total length were dependent on the subsid
iary gradients.