
Fractals and Multifractals in Pedodiversity and Biodiversity AnalysesFractals and Multifractals in Pedodiversity and Biodiversity Analyses 89
the ratio µ
i
(ε)/ε is the empirical density of the cell I
i
(ε) and it defi nes the
density function as ε approaches zero and the ratio converges to a non-
zero value. In other cases µ
i
(ε)/ε diverges or tends towards zero and it has
no density function. In these cases, the asymptotic behavior of µ
i
(ε)/ε
α
i
(ε)
is
well defi ned when a suitable exponent α
i
(ε) is chosen but, in general, this
exponent varies from one cell to another and, eventually, from one point
to another as ε approaches zero (Evertsz and Mandelbrot ...