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FIGURE 6.5 Landscape-level relationship between the mean distance to the nth nearest conspecific neighbor of a focal plant and the rank of nearest neighbor for the rare canopy tree Tabebuia guayacan (Bignoniaceae) over the 15.2 km2 area of BCI, Panama. Power-law relationship for T. guayacan adults: log10(distance to nth nearest neighbor = 1.7099 + 0.6586 log10(rank nearest neighbor), R2 = 0.998.

FIGURE 6.5 Landscape-level relationship between the mean distance to the nth nearest conspecific neighbor of a focal plant and the rank of nearest neighbor for the rare canopy tree Tabebuia guayacan (Bignoniaceae) over the 15.2 km2 area of BCI, Panama. Power-law relationship for T. guayacan adults: log10(distance to nth nearest neighbor = 1.7099 + 0.6586 log10(rank nearest neighbor), R2 = 0.998.

and we adjusted the slope based on the inverse relationship between log abundance and the slope (Fig. 6.4e).

The predicted mean range sizes in km2 for species differing in abundance by seven orders of magnitude are listed in Table 6.1. Extremely rare tree species with population sizes <103 individuals have range sizes <14 km2 in area. Conversely, at the other end of the abundance spectrum, species with >106 individuals have range sizes <261,000 km2. Species with >108 individuals occupy the entire Amazon Basin. These population and range size calculations are based on the power-law formulae for all individuals

TABLE 6.1 Estimated Tropical Tree Species’ Ranges as a Function of Species Abundance in the Brazilian Amazon (total area: 4,652,400 km2)

Species Abundance

Range Area, km2

Fraction of Brazilian Amazon

1.0 × 101

2.076 × 10−2

4.467 × 10−9

3.0 × 101

9.878 × 10−2

2.125 × 10−8

1.0 × 102

5.459 × 10−1

1.174 × 10−7

3.0 × 102

2.598 × 100

5.589 × 10−7

1.0 × 103

1.436 × 101

3.069 × 10−6

3.0 × 103

6.834 × 101

1.470 × 10−5

1.0 × 104

3.772 × 102

8.115 × 10−5

3.0 × 104

1.797 × 103

3.866 × 10−4

1.0 × 105

9.935 × 103

2.137 × 10−3

3.0 × 105

4.728 × 104

1.017 × 10−2

1.0 × 106

2.613 × 105

5.621 × 10−2

3.0 × 106

1.244 × 106

2.676 × 10−1

1.0 × 106

1.244 × 106

2.676 × 10−1



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