Table 4 Estimates of the initial curvature of kinship-distance graphs including d, the coefficient of (ln(x))3 of the polynomial regression of third degree of residuals (FijFij exp) on the logarithm of distance (y=a+b*ln(x)+c*(ln(x))2+d*(ln(x))3) and k, the second derivative of this equation at the average distance of the first distance class (1st DC), or at a distance of 2 m, which corresponds to neighbouring individuals

From: Within-population spatial genetic structure in four naturally fragmented species of a neotropical inselberg radiation, Alcantarea imperialis, A. geniculata, A. glaziouana and A. regina (Bromeliaceae)

Species

Population

Mean distance (1st DC)

ka (1st DC)

ka (2 m)

d

Sign of ka

σ p s estimate a

A. geniculata

GRC

7.0

0.011

0.000

0.002

+

>5.7

A. imperialis

IMC

9.0

−0.014

−0.005

−0.000

<5.7

 

IMC green

11.0

0.029

0.133

−0.011

+

>5.7

 

IMC Red

9.2

     
 

IJF

3.0

     

A. regina

RP1

4.0

−0.027

−0.036

0.003

<5.7

 

RP2

3.0

     

A. glaziouana

LPI

1.1

     
 

LPP

1.4

0.094

0.084

−0.004

+

>5.7

 

LNI

3.3

−0.024

−0.014

−0.005

<5.7

 

LPA

3.3

0.191

0.524

−0.147

+

>5.7

 

LPA

4.9

0.115

0.233

−0.024

+

>5.7

  1. aA gross estimate of pollen vs seed dispersal (σp/σs) can be obtained from k (Heuertz et al., 2003; Vekemans and Hardy, 2004): simulations showed that the ratio σp/σs equals 5.7 at k=0 and is larger for k>0 (concave shape) and smaller for k<0 (convex shape).