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Terrestrial Palaeoecology and Global Change

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294 Valentin A. Krassilov. <strong>Terrestrial</strong> <strong>Palaeoecology</strong><br />

R = O – E<br />

While Sp is an ecologically meaningful variable, St is not. For each time plane, tp, the<br />

st<strong>and</strong>ing crop diversity, Sp’, is a function of initial diversity (Ss), time passed since the<br />

beginning of the period (tp – ts), <strong>and</strong> of mean turnover rate (Rm) for the period:<br />

Sp’ = Ss + Rm/t (tp – ts)<br />

A crude estimate of species richness for a geographic realm can be obtained from<br />

the species-area relationships. A vast literature on the subject (Arrhenius, 1920; Preston,<br />

1962; MacArthur & Wilson, 1967; Malyshev, 1975; Williamson, 1988; Harte &<br />

Kinzig, 1997; Gaston, 2000; Williamson et al., 2001) holds the relationships as conveyed<br />

by parabolic equation:<br />

y = ax z<br />

(y = species number per area x, a = species number per unit area, z = an empirical<br />

constant of spatial heterogeneity).<br />

In the following example, the variables <strong>and</strong> constants of the species-area equation<br />

are provisionally calculated on the basis of palaeogeography <strong>and</strong> the present-day analogues.<br />

Area (x). Palaeovegetation zones can be considered as areas of uniform z values<br />

characteristic of the respective biomes. Calculations are made for the area of the northern<br />

temperate forested (nemoral) zone north of the evergreen/deciduous boundary that<br />

is most distinct over times due to the distinctions in the life forms <strong>and</strong> taphonomy (IV.3,<br />

VII.4, VIII.2.3). The ranges of nemoral biome vary with climate <strong>and</strong> sea-level, spreading<br />

to about 38°-35°N in the mid-Permian <strong>and</strong> mid-Jurassic, to 43°N in the Early Palaeocene,<br />

<strong>and</strong> constrained at 50°N (60°N in Atlantic sector) in the Late Cretaceous <strong>and</strong><br />

Eocene, when their extent was additionally reduced by boreal transgressions.<br />

Spatial heterogeneity constant (z). A compilation of data for vegetation zones<br />

indicates typical z values of 0.10 for boreal conifer forests (taiga), 0.14–0.18 for temperate<br />

broadleaved (nemoral) zone, about 0.17 for Mediterranean-type vegetation,<br />

<strong>and</strong> 0.20–0.22 for tropical forests (Malyshev, 1975). Since z depends on ecological<br />

convergence rather than taxonomy, these values should be valid for the respective<br />

palaeobiomes as well. The upper present-day value of z = 0.18 is provisionally accepted<br />

here for the Permian to Palaeocene nemoral zones on assumption of their relatively<br />

high heterogeneity.<br />

Diversity per unit area (a). In the present-day plant diversity estimates, the unit<br />

area varies from 10 2 to 10 4 sq. km. For palaeobiomes, the natural sampling unit is sedimentary<br />

basin supplying material for the basinal taphoflora. A modal area of hydrological<br />

basins is about 10 3 sq. km, within the range of the present day sampling areas. Hence<br />

species numbers for well-known taphofloras represent the contemporaneous (a) values.<br />

In the present analysis these values are derived from the following taphofloras:<br />

– The mid-Permian of Cisuralia (Naugolnykh, 1998),<br />

– The Early Triassic of Tunguska Basin <strong>and</strong> Taymyr (Mogucheva 1973;<br />

Sadovnikov, 1997),

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