. 2019 May 15;10:440. doi: 10.3389/fgene.2019.00440

Table 2.

Four-marker genotype observations and expected frequencies composed of gamete-type frequencies produced by each parent in a full-sib population.

Genotype	g000	g001	g010	g011	g100	g101	g110	g111	Frequency	Observation
AABBCCDD	2	0	0	0	0	0	0	0	g₀₀₀²	n₂₂₂₂
AABBCCDd	1	1	0	0	0	0	0	0	2g₀₀₀g₀₀₁	n₂₂₂₁
AABBCCdd	0	2	0	0	0	0	0	0	g₀₀₁²	n₂₂₂₀
AABBCcDD	1	0	0	1	0	0	0	0	2g₀₀₀g₀₁₁	n₂₂₁₂
AABBCcDd	^ϕ₃	1-^ϕ₃	^ϕ₃	1-^ϕ₃	0	0	0	0	2(g₀₀₀g₀₁₀+g₀₀₁g₀₁₁)	n₂₂₁₁
AABBCcdd	0	1	1	0	0	0	0	0	2g₀₀₁g₀₁₀	n₂₂₁₀
AABBccDD	0	0	0	2	0	0	0	0	g₀₁₁²	n₂₂₀₂
AABBccDd	0	0	1	1	0	0	0	0	2g₀₁₁g₀₁₀	n₂₂₀₁
AABBccdd	0	0	2	0	0	0	0	0	g₀₁₀²	n₂₂₀₀
AABbCCDD	1	0	0	0	0	0	1	0	2g₀₀₀g₁₁₀	n₂₁₂₂
AABbCCDd	^ϕ₁₀	1-^ϕ₁₀	0	0	0	0	1-^ϕ₁₀	^ϕ₁₀	2(g₀₀₀g₁₁₁+g₀₀₁g₁₁₀)	n₂₁₂₁
AABbCCdd	0	1	0	0	0	0	0	1	2g₀₀₁g₁₁₁	n₂₁₂₀
AABbCcDD	^ϕ₇	0	0	1-^ϕ₇	0	^ϕ₇	1-^ϕ₇	0	2(g₀₀₀g₁₀₁+g₀₁₁g₁₁₀)	n₂₁₁₂
AABbCcDd	^ϕ₆	^ϕ₁₆	^ϕ₂₃	^ϕ₂₇	^ϕ₆	^ϕ₁₆	^ϕ₂₃	^ϕ₂₇	2(g₀₀₀g₁₀₀+g₀₀₁g₁₀₁+g₀₁₀g₁₁₀+g₀₁₁g₁₁₁)	n₂₁₁₁
AABbCcdd	0	^ϕ₁₅	1-^ϕ₁₅	0	^ϕ₁₅	0	0	1-^ϕ₁₅	2(g₀₀₁g₁₀₀+g₀₁₀g₁₁₁)	n₂₁₁₀
AABbccDD	0	0	0	1	0	1	0	0	2g₀₁₁g₁₀₁	n₂₁₀₂
AABbccDd	0	0	^ϕ₂₂	1-^ϕ₂₂	1-^ϕ₂₂	^ϕ₂₂	0	0	2(g₀₁₀g₁₀₁+g₀₁₁g₁₀₀)	n₂₁₀₁
AABbccdd	0	0	1	0	1	0	0	0	2g₀₁₀g₁₀₀	n₂₁₀₀
AAbbCCDD	0	0	0	0	0	0	2	0	g₁₁₀²	n₂₀₂₂
AAbbCCDd	0	0	0	0	0	0	1	1	2g₁₁₀g₁₁₁	n₂₀₂₁
AAbbCCdd	0	0	0	0	0	0	0	2	g₁₁₁²	n₂₀₂₀
AAbbCcDD	0	0	0	0	0	1	1	0	2g₀₁₁g₁₀₁	n₂₀₁₂
AAbbCcDd	0	0	0	0	^ϕ₃₀	1-^ϕ₃₀	^ϕ₃₀	1-^ϕ₃₀	2(g₁₁₀g₁₀₀+g₁₁₁g₁₀₁)	n₂₀₁₁
AAbbCcdd	0	0	0	0	1	0	0	1	2g₁₁₁g₁₀₀	n₂₀₁₀
AAbbccDD	0	0	0	0	0	2	0	0	g₁₀₁²	n₂₀₀₂
AAbbccDd	0	0	0	0	1	1	0	0	2g₁₀₁g₁₀₀	n₂₀₀₁
AAbbccdd	0	0	0	0	2	0	0	0	g₁₀₀²	n₂₀₀₀
AaBBCCDD	1	0	0	0	1	0	0	0	2g₀₀₀g₁₀₀	n₁₂₂₂
AaBBCCDd	^ϕ₈	1-^ϕ₈	0	1-^ϕ₈	0	^ϕ₈	0	0	2(g₀₀₀g₁₀₁+g₀₀₁g₀₁₁)	n₁₂₂₁
AaBBCCdd	0	1	0	0	0	1	0	0	2g₀₀₁g₁₀₁	n₁₂₂₀
AaBBCcDD	^ϕ₁₁	0	0	1-^ϕ₁₁	1-^ϕ₁₁	0	0	^ϕ₁₁	2(g₀₀₀g₁₁₁+g₀₁₁g₁₀₀)	n₁₂₁₂
AaBBCcDd	^ϕ₉	^ϕ₁₈	^ϕ₂₁	^ϕ₂₆	^ϕ₂₁	^ϕ₂₆	^ϕ₉	^ϕ₁₈	2(g₀₀₀g₁₁₀+g₀₀₁g₁₁₁+g₀₁₀g₁₀₀+g₀₁₁g₁₀₁)	n₁₂₁₁
AaBBCcdd	0	^ϕ₁₇	1-^ϕ₁₇	0	0	1-^ϕ₁₇	^ϕ₁₇	0	2(g₀₀₁g₁₁₀+g₀₁₀g₁₀₁)	n₁₂₁₀
AaBBccDD	0	0	0	1	0	0	0	1	2(g₀₁₀g₁₁₁+g₀₁₁g₁₁₀)	n₁₂₀₂
AaBBccDd	0	0	^ϕ₂₄	1-^ϕ₂₄	0	0	1-^ϕ₂₄	^ϕ₂₄	2(g₀₁₀g₁₁₁+g₀₁₁g₁₁₀)	n₁₂₀₁
AaBBccdd	0	0	1	0	0	0	1	0	2g₀₁₀g₁₁₀	n₁₂₀₀
AaBbCCDD	^ϕ₄	0	^ϕ₄	0	1-^ϕ₄	0	1-^ϕ₄	0	2(g₀₀₀g₀₁₀+g₁₁₀g₁₀₀)	n₁₁₂₂
AaBbCCDd	^ϕ₅	^ϕ₁₃	^ϕ₁₃	^ϕ₅	^ϕ₃₁	^ϕ₃₃	^ϕ₃₃	^ϕ₃₁	2(g₀₀₀g₀₁₁+g₀₀₁g₀₁₀+g₁₁₀g₁₀₁+g₁₁₁g₁₀₀)	n₁₁₂₁
AaBbCCdd	0	^ϕ₁₄	0	^ϕ₁₄	0	1-^ϕ₁₄	0	1-^ϕ₁₄	2(g₀₀₁g₀₁₁+g₁₁₁g₁₀₁)	n₁₁₂₀
AaBbCcDD	^ϕ₂	^ϕ₂	^ϕ₂₀	^ϕ₂₀	^ϕ₂₉	^ϕ₂₉	^ϕ₃₅	^ϕ₃₅	2(g₀₀₀g₀₀₁+g₀₁₁g₀₁₀+g₁₁₀g₁₁₁+g₁₀₁g₁₀₀)	n₁₁₁₂
AaBbCcDd	2^ϕ₁	2^ϕ₁₂	2^ϕ₁₉	2^ϕ₂₅	2^ϕ₂₈	2^ϕ₃₂	2^ϕ₃₄	2^ϕ₃₆	g₀₀₀²+g₀₀₁²+g₀₁₀²+g₁₀₀²+g₁₀₁²+g₁₁₀²+g₀₁₁²+g₁₁₁²)	n₁₁₁₁
AaBbCcdd	^ϕ₂	^ϕ₂	^ϕ₂₀	^ϕ₂₀	^ϕ₂₉	^ϕ₂₉	^ϕ₃₅	^ϕ₃₅	2(g₀₀₀g₀₀₁+g₀₁₁g₀₁₀+g₁₁₀g₁₁₁+g₁₀₁g₁₀₀)	n₁₁₁₀
AaBbccDD	0	^ϕ₁₄	0	^ϕ₁₄	0	1-^ϕ₁₄	0	1-^ϕ₁₄	2(g₀₀₁g₀₁₁+g₁₁₁g₁₀₁)	n₁₁₀₂
AaBbccDd	^ϕ₅	^ϕ₁₃	^ϕ₁₃	^ϕ₅	^ϕ₃₁	^ϕ₃₃	^ϕ₃₃	^ϕ₃₁	2(g₀₀₀g₀₁₁+g₀₀₁g₀₁₀+g₁₁₀g₁₀₁+g₁₁₁g₁₀₀)	n₁₁₀₁
AaBbccdd	^ϕ₄	0	^ϕ₄	0	1-^ϕ₄	0	1-^ϕ₄	0	2(g₀₀₀g₀₁₀+g₁₁₀g₁₀₀)	n₁₁₀₀
AabbCCDD	0	0	1	0	0	0	1	0	2g₀₁₀g₁₁₀	n₁₀₂₂
AabbCCDd	0	0	^ϕ₂₄	1-^ϕ₂₄	0	0	1-^ϕ₂₄	^ϕ₂₄	2(g₀₁₀g₁₁₁+g₀₁₁g₁₁₀)	n₁₀₂₁
AabbCCdd	0	0	0	1	0	0	0	1	2g₀₁₁g₁₁₁	n₁₀₂₀
AabbCcDD	0	^ϕ₁₇	1-^ϕ₁₇	0	0	1-^ϕ₁₇	^ϕ₁₇	0	2g₀₁₁g₁₁₁	n₁₀₁₂
AabbCcDd	^ϕ₉	^ϕ₁₈	^ϕ₂₁	^ϕ₂₆	^ϕ₂₁	^ϕ₂₆	^ϕ₉	^ϕ₁₈	2(g₀₀₀g₁₁₀+g₀₀₁g₁₁₁+g₀₁₀g₁₀₀+g₀₁₁g₁₀₁)	n₁₀₁₁
AabbCcdd	^ϕ₁₁	0	0	1-^ϕ₁₁	1-^ϕ₁₁	0	0	^ϕ₁₁	2(g₀₀₀g₁₁₁+g₀₁₁g₁₀₀)	n₁₀₁₀
AabbccDD	0	1	0	0	0	1	0	0	2g₀₀₁g₁₀₁	n₁₀₀₂
AabbccDd	^ϕ₈	1-^ϕ₈	0	1-^ϕ₈	0	^ϕ₈	0	0	2(g₀₀₀g₁₀₁+g₀₀₁g₀₁₁)	n₁₀₀₁
Aabbccdd	1	0	0	0	1	0	0	0	2g₀₀₀g₁₀₀	n₁₀₀₀
aaBBCCDD	0	0	0	0	2	0	0	0	g₁₀₀²	n₀₂₂₂
aaBBCCDd	0	0	0	0	1	1	0	0	2g₁₀₁g₁₀₀	n₀₂₂₁
aaBBCCdd	0	0	0	0	0	2	0	0	g₁₀₁²	n₀₂₂₀
aaBBCcDD	0	0	0	0	1	0	0	1	2g₁₁₁g₁₀₀	n₀₂₁₂
aaBBCcDd	0	0	0	0	^ϕ₃₀	1-^ϕ₃₀	^ϕ₃₀	1-^ϕ₃₀	2(g₁₁₀g₁₀₀+g₁₁₁g₁₀₁)	n₀₂₁₁
aaBBCcdd	0	0	0	0	0	1	1	0	2g₀₁₁g₁₀₁	n₀₂₁₀
aaBBccDD	0	0	0	0	0	0	0	2	g₁₁₁²	n₀₂₀₂
aaBBccDd	0	0	0	0	0	0	1	1	2g₁₁₀g₁₁₁	n₀₂₀₁
aaBBccdd	0	0	0	0	0	0	2	0	g₁₁₀²	n₀₂₀₀
aaBbCCDD	0	0	1	0	1	0	0	0	2g₀₁₀g₁₀₀	n₀₁₂₂
aaBbCCDd	0	0	^ϕ₂₂	1-^ϕ₂₂	1-^ϕ₂₂	^ϕ₂₂	0	0	2(g₀₁₀g₁₀₁+g₀₁₁g₁₀₀)	n₀₁₂₁
aaBbCCdd	0	0	0	1	0	1	0	0	2g₀₁₁g₁₀₁	n₀₁₂₀
aaBbCcDD	0	^ϕ₁₅	1-^ϕ₁₅	0	^ϕ₁₅	0	0	1-^ϕ₁₅	2(g₀₀₁g₁₀₀+g₀₁₀g₁₁₁)	n₀₁₂₂
aaBbCcDd	^ϕ₆	^ϕ₁₆	^ϕ₂₃	^ϕ₂₇	^ϕ₆	^ϕ₁₆	^ϕ₂₃	^ϕ₂₇	2(g₀₀₀g₁₀₀+g₀₀₁g₁₀₁+g₀₁₀g₁₁₀+g₀₁₁g₁₁₁)	n₀₁₁₁
aaBbCcdd	^ϕ₇	0	0	1-^ϕ₇	0	^ϕ₇	1-^ϕ₇	0	2(g₀₀₀g₁₀₁+g₀₁₁g₁₁₀)	n₀₁₁₀
aaBbccDD	0	1	0	0	0	0	0	1	2g₀₀₁g₁₁₁	n₀₁₀₂
aaBbccDd	^ϕ₁₀	1-^ϕ₁₀	0	0	0	0	1-^ϕ₁₀	^ϕ₁₀	2(g₀₀₀g₁₁₁+g₀₀₁g₁₁₀)	n₀₁₀₁
aaBbccdd	1	0	0	0	0	0	1	0	2g₀₀₀g₁₁₀	n₀₁₀₀
aabbCCDD	0	0	2	0	0	0	0	0	g₀₁₀²	n₀₀₂₂
aabbCCDd	0	0	1	1	0	0	0	0	2g₀₁₁g₀₁₀	n₀₀₂₁
aabbCCdd	0	0	0	2	0	0	0	0	g₀₁₁²	n₀₀₂₀
aabbCcDD	0	1	1	0	0	0	0	0	2g₀₀₁g₀₁₀	n₀₀₁₂
aabbCcDd	^ϕ₃	1-^ϕ₃	^ϕ₃	1-^ϕ₃	0	0	0	0	2(g₀₀₀g₀₁₀+g₀₀₁g₀₁₁)	n₀₀₁₁
aabbCcdd	1	0	0	1	0	0	0	0	2g₀₀₀g₀₁₁	n₀₀₁₀
aabbccDD	0	2	0	0	0	0	0	0	g₀₀₁²	n₀₀₀₂
aabbccDd	1	1	0	0	0	0	0	0	2g₀₀₀g₀₀₁	n₀₀₀₁
aabbccdd	2	0	0	0	0	0	0	0	g₀₀₀²	n₀₀₀₀

^ϕ

refers to the ratio of the frequency of each gamete genotype to the corresponding genotype frequency.