Mendel's principles of heredity: A defenceMendel, Gregor
Science
Mendel's principles of heredity: A defence
Mendel, Gregor
Heredity; Hybridization; Mendel's law; Weldon, Walter Frank Raphael. Mendel's laws of alternative inheritance in peas
8 plants _ABC_. 22 plants _ABCc_. 45 plants _ABbCc_.
14 " _ABc_. 17 " _AbCc_. 36 " _aBbCc_.
9 " _AbC_. 25 " _aBCc_. 38 " _AaBCc_.
11 " _Abc_. 20 " _abCc_. 40 " _AabCc_.
8 " _aBC_. 15 " _ABbC_. 49 " _AabbC_.
10 " _aBc_. 18 " _ABbc_. 48 " _AaBbc_.
10 " _abC_. 19 " _aBbC_.
7 " _abc_. 24 " _aBbc_.
14 " _AaBC_. 78 " _AaBbCc_.
18 " _AaBc_.
20 " _AabC_.
16 " _Aabc_.
[37] [Note that Mendel does not state the cotyledon-colour of the
first crosses in this case; for as the coats were thick, it could not
have been seen without opening or peeling the seeds.]
The whole expression contains 27 terms. Of these 8 are constant in all
characters, and each appears on the average 10 times; 12 are constant
in two characters, and hybrid in the third; each appears on the average
19 times; 6 are constant in one character and hybrid in the other two;
each appears on the average 43 times. One form appears 78 times and is
hybrid in all of the characters. The ratios 10, 19, 43, 78 agree so
closely with the ratios 10, 20, 40, 80, or 1, 2, 4, 8, that this last
undoubtedly represents the true value.
The development of the hybrids when the original parents differ
in three characters results therefore according to the following
expression:
_ABC_ + _ABc_ + _AbC_ + _Abc_ + _aBC_ + _aBc_ + _abC_ + _abc_ +
2 _ABCc_ + 2 _AbCc_ + 2 _aBCc_ + 2 _abCc_ + 2 _ABbC_ + 2 _ABbc_ +
2 _aBbC_ + 2 _aBbc_ + 2 _AaBC_ + 2 _AaBc_ + 2 _AabC_ + 2 _Aabc_ +
4 _ABbCc_ + 4 _aBbCc_ + 4 _AaBCc_ + 4 _AabCc_ + 4 _AaBbC_ +
4 _AaBbc_ + 8 _AaBbCc_.
Here also is involved a combination series in which the expressions for
the characters _A_ and _a_, _B_ and _b_, _C_ and _c_, are united. The
expressions
_A_ + 2 _Aa_ + _a_
_B_ + 2 _Bb_ + _b_
_C_ + 2 _Cc_ + _c_
give all the classes of the series. The constant combinations which
occur therein agree with all combinations which are possible between
the characters _A_, _B_, _C_, _a_, _b_, _c_; two thereof, _ABC_ and
_abc_, resemble the two original parental stocks.
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