From G. H. Darwin [after 8 January 1876]1
Dear Father,
the operation wd. be very simple, if I understd. you aright. You wish to lump all the Species into one general group & to give two numbers the ratio of which to one another expresses the benefits of Xg.2
Plants | avg. height | |
Spec: | A 4 — | 100 |
——— | B 10 ——— | 100 |
——— | C 17 ——— | 100 |
——— | D 3 ——— | 100 |
34 | ||
Plants | avge ht. | |
Spec. | A. 4 ——— | 90 |
——— | B 9 ——— | 60 |
——— | C 16 ——— | 65 |
——— | D 4 ——— | 70 |
33 |
The method is to multiply the two columns together & in the first case divide by 34 & in the second by 33 Thus the first number is
4 x 100 + 10 x 100 + 17 x 100 + 3 x 100 |
34 |
and this of course = 100
The second number is
4 x 90 + 9 x 60 + 16 x 65 + 4 x 70 |
33 |
= 70 |
Thus in your imaginary case the Xd. are to the selfs in the proportion of 100 to 70 in point of height
It is of course clear that it is useless to go thro’ the first series of multiplications because the result must come out 100 & therefore all you have to do is to take your second series of numbers & multiply them two & two as above & divide by the total number of cases
I do not feel quite sure that this procedure is wholly justifiable because you are lumping various species together and there is no procedure that I can think of by which you can get the influence of Xg. to stand out by itself Nevertheless I do feel sure that this number gives you approximately what you want.
G. H. D
CD note:
Footnotes
Bibliography
Cross and self fertilisation: The effects of cross and self fertilisation in the vegetable kingdom. By Charles Darwin. London: John Murray. 1876.
Summary
Provides CD with a method of obtaining a numerical ratio that expresses the superiority in heights of crossed plants to self-fertilised plants.
Letter details
- Letter no.
- DCP-LETT-10349
- From
- George Howard Darwin
- To
- Charles Robert Darwin
- Sent from
- unstated
- Source of text
- DAR 77: 144–5
- Physical description
- ALS 4pp ††
Please cite as
Darwin Correspondence Project, “Letter no. 10349,” accessed on 26 September 2022, https://www.darwinproject.ac.uk/letter/?docId=letters/DCP-LETT-10349.xml
Also published in The Correspondence of Charles Darwin, vol. 24