Page:Mendel's principles of heredity; a defence.pdf/32

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12
The Problems
Ratios
3 1 Ab class may produce either all Ab's,
2 or both Ab's and ab's.
9 1 AB class may produce either all AB's,
2 or both AB's and Ab's,
2 or both AB's and aB's,
4 or all four possible classes again, namely,
AB's, Ab's, aB's, and ab's,

and the average number of members of each class will approach the ratio 1:3:3:9 as indicated above.

The details of these experiments and of others like them made with three pairs of differentiating characters are all set out in Mendel's memoir.

Professor de Vries has worked at the same problem in some dozen species belonging to several genera, using pairs of varieties characterised by a great number of characters: for instance, colour of flowers, stems, or fruits, hairiness, length of style, and so forth. He states that in all these cases Mendel's principles are followed.

The numbers with which Mendel worked, though large, were not large enough to give really smooth results[1]; but with a few rather marked exceptions the observations are remarkably consistent, and the approximation to the numbers demanded by the law is greatest in those cases where the largest numbers were used. When we consider, besides, that Tschermak and Correns announce definite confirmation in the case of Pisum, and de Vries adds the evidence of his long series of observations on other species and orders, there can be no doubt that Mendel's law is a substantial

  1. Professor Weldon (p. 232) takes great exception to this statement, which he considerately attributes to "some writers." After examining the conclusions he obtained by algebraical study of Mendel's figures I am disposed to think my statement not very far out.