Appendix C. Estimated parameters for dispersal functions using different neighborhood search distances and functional forms of the dispersal kernel.
We estimated parameters for dispersal functions using different neighborhood search distances and functional forms of the dispersal kernel for a hypothetical data set generated from 1km^{2} area of source trees and 200 1m^{2} quadrats distributed in two transects through a central 1ha portion of the source area. Simulated seed rain was generated as a Poisson process, with a lognormal dispersal function ("Logn") and parameter values given in Table C1. The "Theoretical" curve is the true, underlying lognormal dispersal function (see Appendix A) used to generate the hypothetical data set. The exponential function ("Exp") allowed both B and in Eq. 3 to vary. The "2Dt" curve was estimated using the dispersal function presented by Clark et al. (1999). The three sets of estimated parameters for the lognormal function used neighborhood radii of 25, 50, and 100 m, respectively. We also used a 100m radius and examined the fit to the underlying lognormal data if an exponential or 2Dt function was used.
TABLE C1. Estimated parameters for dispersal functions using different neighborhood search distances and functional forms of the dispersal kernel.
Theoretical 
Logn  25 m 
Logn  50 m 
Logn  100 m 
Exp  100 m 
2Dt  100 m 

Search Radius 
25 
50 
100 
100 
100 

No. quadrats 
200 
200 
200 
200 
200 

Loglikelihood 
528.8 
493.6 
492.5 
500.3 
499.1 

r2 
0.8283 
0.8377 
0.8394 
0.8194 
0.8214 

Normalizer 
1941.4 
3043.2 
2539.6 
2180.9 
2199.4 
0 
A 
500 
1449.5 
487.3 
462.8 
411.5 
426.2 
2 
1.6 
2.2 
2.1 
2.2 
2.2 

B 
10 
15.3 
11.6 
11.5 
40.3 
1458.1^{†} 
0.6 
0.50 
0.59 
0.56 
1.70 
2.27^{‡} 
† The u parameter for the 2Dt model of Clark et al. (1999).
‡ The p parameter for the 2Dt model of Clark et al. (1999).
Clark, J. S., M. Silman, R. Kern, E. Macklin, and J. HilleRisLambers. 1999. Seed dispersal near and far: patterns across temperate and tropical forests. Ecology 80:1475–1494.