Figure 4.

Various population density scenarios. Simulated IBD block sharing per pair and cM in various density scenarios was compared to theoretical expectations based on Equation 9. The block sharing of a subset of 150-cM chromosomes four distance units apart placed on an initial grid was analyzed. Along each axis, dispersal was modeled by a Laplace distribution with $\sigma =1,$ and the number of diploid individuals per node n either remained constant at $n=10,$ grew as $n\left(t\right)=t,$ or declined as $n\left(t\right)=200/t;$ in all cases, t denotes the time back measured in generations, and at every step $n\left(t\right)$ was rounded to the nearest integer value. For each scenario, 20 replicate runs were done. •’s depict the mean and error bars the SD for every bin. The solid lines show the theoretical prediction based on Equation 9.