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, 10:12, 31 January 2015
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| = Introduction = | | = Introduction = |
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− | Ploidy, alleles are independent characteristics that give rise to genotypes. | + | The VCF format encodes genotypes by the index of the enumeration of genotypes give a ploidy number and alleles. |
| + | Ploidy and alles are independent of one another while genotypes are a function of them. |
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− | = Table = | + | = Motivation = |
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| + | While there are explicit functions that could be googled for handling haploid and diploidy cases. It seems to be difficult to find the closed forms for the general case. |
| + | This wiki fills in that need. The cases where one requires such extensions is when pooled samples are studied or when plant species that exhibit a diverse number of |
| + | ploidy. |
| + | |
| + | = The number of genotypes given a ploidy and alleles = |
| + | |
| + | <math> |
| + | \begin{align} |
| + | F(P,A) = \begin{cases} |
| + | 3x + 5y + , A<P= 1 \\ |
| + | 7x - 2y + 4z , A>=P |
| + | \end{cases} |
| + | \end{align} |
| + | </math> |
| + | |
| + | = The indexing of genotypes given a ploidy and alleles = |
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