Genetics Selection Evolution

Table 1 Example of diffusion on a graph

From: Predicting complex traits using a diffusion kernel on genetic markers with an application to dairy cattle and wheat data

α= 0.1				α = 0.2				α = 0.2
x =	0	1	2	x =	0	1	2	x =	0	1	2
k₁(0,x)	0	1	0	k₁(0,x)	0	1	0	k₂(0,x)	0	0	1
k₁(1,x)	0.1	0.8	0.1	k₁(1,x)	0.2	0.6	0.2	k₂(1,x)	0	0.2	0.8
k₁(2,x)	0.17	0.66	0.17	k₁(2,x)	0.28	0.44	0.28	k₂(2,x)	0.04	0.28	0.68
k₁(3,x)	0.219	0.562	0.219	k₁(3,x)	0.312	0.376	0.312	k₂(3,x)	0.171	0.330	0.498
k₁(15,x)	0.331	0.336	0.331	k₁(15,x)	0.333	0.333	0.333	k₂(15,x)	0.324	0.333	0.342

x = (0, 1, 2) are genotype codes; α = (0.1, 0.2) is the diffusion rate; $k_{\tilde{x}} (t, x)$ is the time t diffusion of the influence of genotype $\tilde{x}$ on genotype x.

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