Mendelism: Third EditionPunnett, Reginald Crundall
Science
Mendelism: Third Edition
Punnett, Reginald Crundall
Mendel's law
In the simple case where the homozygous and heterozygous conditions are
indistinguishable in appearance the number of possible forms is 2, raised
to the power of the number of factors concerned. Thus where one factor is
concerned there are only 2^1 = 2 possible forms, where ten factors are
concerned there are 2^{10} = 1024 possible forms differing from one another
in at most ten and at least one character. Where the factors interact upon
one another this number will, of course, be considerably increased. If the
heterozygous form is different in appearance from the homozygous form,
there are three possible forms connected with each factor; for ten such
factors the possible number of individuals would be 3^{10} = 59,049; for
twenty such factors the possible number of different individuals would be
3^{20} = 3,486,784,401. The presence or absence of a comparatively small
number of factors in a species carries with it the possibility of an
enormous range of individual variation. But every one of these individuals
has a perfectly definite constitution which can {137} be determined in each
case by the ordinary methods of Mendelian analysis. For in every instance
the variation depends upon the presence or absence of definite factors
carried in by the gametes from whose union the individual results. And as
these factors separate out cleanly in the gametes which the individual
forms, such variations as depend upon them are transmitted strictly
according to the Mendelian scheme. Provided that the constitution of the
gametes is unchanged, the heredity of such variation is independent of any
change in the conditions of nutrition or environment which may operate upon
the individual producing the gametes.
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