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Table 1 Structure of (true) haplotype frequency matrix with k sequenced time points for some replicate population r. The estimated frequency of haplotype j at generation t for replicate r is denoted by \(\hat{f}_{j,t}^{(r)}\)

From: Haplotype based testing for a better understanding of the selective architecture

Haplotype

Generation

0

\(t_1\)

\(\ldots\)

\(t_{k-2}\)

T

1

\(f_{1,0}^{(r)}\)

\(f_{1,t_1}^{(r)}\)

\(\ldots\)

\(f_{1,t_{k-2}}^{(r)}\)

\(f_{1,T}^{(r)}\)

2

\(f_{2,0}^{(r)}\)

\(f_{2,t_1}^{(r)}\)

\(\ldots\)

\(f_{2,t_{k-2}}^{(r)}\)

\(f_{2,T}^{(r)}\)

\(\vdots\)

\(\vdots\)

\(\vdots\)

 

\(\vdots\)

\(\vdots\)

\(N_{{\text {Hap}}}\)

\(f_{N_{{\text {Hap}}},0}^{(r)}\)

\(f_{N_{{\text {Hap}}},t_1}^{(r)}\)

\(\ldots\)

\(f_{N_{{\text {Hap}}},t_{k-2}}^{(r)}\)

\(f_{N_{{\text {Hap}}},T}^{(r)}\)

\(\sum ^{N_{{\text {Hap}}}}_{j=1}f_{j,t}^{(r)}\)

1

1

\(\ldots\)

1

1