From: Mendel’s terminology and notation reveal his understanding of genetics
Extended tabulation of expected zygotic ratios in Mendel’s Phaseolus cross | ||||||||
\(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{A}}_{1}\;\;{\mathrm{A}}_{2}}\) | + | 2 | \(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{ A}}_{2}}\) | + | \(\frac{{\mathrm{a}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{ A}}_{2}}\) | |||
+ | 2 | \(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{A}}_{1}\;\;{\mathrm{a}}_{2}}\) | + | 4 | \(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}}\) | + | 2 | \(\frac{{\mathrm{a}}_{1}\;\;{\mathrm{A}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}}\) |
\(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{a}}_{2}}{{\mathrm{A}}_{1}\;\;{\mathrm{a}}_{2}}\) | + | 2 | \(\frac{{\mathrm{A}}_{1}\;\;{\mathrm{a}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}}\) | + | \(\frac{{\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}}{{\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}}\) | |||
Which Mendel explained is equivalent to: | ||||||||
1 | \({\mathrm{A}}_{1}\;\;{\mathrm{ A}}_{2}\) | 2 | \({\mathrm{A}}_{1}{{\mathrm{a}}_{1}\;\;\mathrm{ A}}_{2}\) | 1 | \({\mathrm{a}}_{1}\;\;{\mathrm{ A}}_{2}\) | |||
2 | \({\mathrm{A}}_{1}\;\;{\mathrm{ A}}_{2}{\mathrm{a}}_{2}\) | 4 | \({\mathrm{A}}_{1}{\mathrm{a}}_{1}\;\;{\mathrm{A}}_{2}{\mathrm{a}}_{2}\) | 2 | \({\mathrm{a}}_{1}\;\;{\mathrm{ A}}_{2}{\mathrm{a}}_{2}\) | |||
1 | \({\mathrm{A}}_{1}\;\;{\mathrm{a}}_{2}\) | 2 | \({\mathrm{A}}_{1} {\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}\) | 1 | \({\mathrm{a}}_{1}\;\;{\mathrm{a}}_{2}\) | |||
Mendel’s actual tabulation: | ||||||||
1 | \({\mathrm{A}}_{1}\;\;{\mathrm{ A}}_{2}\) | 2 | \({\mathrm{A}}_{1}{\mathrm{a}}\;\;\mathrm A_{2}\) | 1 | \({\mathrm{A}}_{2}\;\;a\) | |||
2 | \({\mathrm{A}}_{1}\;\;{\mathrm{ A}}_{2}\mathrm{a}\) | 4 | \({\mathrm{A}}_{1}\mathrm{a}\;\;{\mathrm{A}}_{2}\mathrm{a}\) | 2 | \({\mathrm{A}}_{2}\mathrm{a\;\;a}\) | |||
1 | \({\mathrm{A}}_{1}\;\;\mathrm{a}\) | 2 | \({\mathrm{A}}_{1}\mathrm{a}\;\;\mathrm{a}\) | 1 | \(\mathrm{a\;\;a}\) |