Author Topic: Calculus for plant breeding  (Read 194 times)

William S.

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Calculus for plant breeding
« on: 2019-10-15, 09:31:19 PM »
Does anyone know of the top of their heads any practical applications for calculus in plant breeding?
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spacecase0

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Re: Calculus for plant breeding
« Reply #1 on: 2019-10-29, 10:47:07 PM »
I learned calculus from someone that loved math, he shared every possible use for it.
I know how it is used in farming plants and animals
but never a mention of plant breeding
if there is an application for it, I bet it is a new one.

Nicollas

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Re: Calculus for plant breeding
« Reply #2 on: 2019-10-29, 11:17:30 PM »
For example how many plants do you have to grow to have X% of chances to recover a certain combination of genes (e.g. 3 recessives) knowing the parents. Conversly, how lany chances if one grows Y plants.


William S.

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Re: Calculus for plant breeding
« Reply #3 on: 2019-10-30, 09:48:23 AM »
For example how many plants do you have to grow to have X% of chances to recover a certain combination of genes (e.g. 3 recessives) knowing the parents. Conversly, how lany chances if one grows Y plants.

Is that probability?
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William S.

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Re: Calculus for plant breeding
« Reply #4 on: 2019-10-30, 09:54:25 AM »
I learned calculus from someone that loved math, he shared every possible use for it.
I know how it is used in farming plants and animals
but never a mention of plant breeding
if there is an application for it, I bet it is a new one.

I am retaking basic calculus after twenty years. I didn't do well the first time. However I did recall with a bit of googling last night that the applied calculus for biology majors had quite a bit about using exponential functions to model animal or plant population growth with respect to r and k selection.

It does seem to me like there should be some application of differentials at least to gene frequencies as populations grow and contract.
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Ocimum

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Re: Calculus for plant breeding
« Reply #5 on: 2019-10-30, 11:07:20 AM »
William S.

Bos & Caligari 2008 Selection Methods in Plant Breeding
Quote
Yield is a trait affected by many loci. Each chromosome arm may be
assumed to contain at least one relevant locus. Then grain yield of bread
wheat is controlled by at least 42 more-or-less independently segregating
loci (Chapter 1). If two wheat varieties, which have a different homozygous
genotype with regard to 25 of such loci, are crossed, the probability that a
plant of the F2 generation has genotype BB or Bb for each of the 25 loci
amounts to
( 3/4 )^25 = 0.00075
Thus it is expected that 1 out of 1329 plants of the F2 has the complex
genotype B1 B2 . . . B25, where indicates the presence at the considered
locus of either allele b or B. The probability that a plant of the F2 generation
has a different genotype is 0.99925.
The probability that a plant has genotype BB or Bb for each of the 25 loci
amounts in the F3 to
( 5/8 )^25 = 0.0000079
Then 1 out of 126,765 plants of the F3 is expected to have genotype B1
B2 . . . B25. In the F4 ...
Is this what you are looking for?
@Joseph, or any other admin: as far as I know, short extracts of publications are allowed, as long as the source is cited. Is this also allowed for forums? If not, please delete this message.

William S.

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Re: Calculus for plant breeding
« Reply #6 on: 2019-10-30, 05:29:27 PM »
Found a book, its a bit expensive, and is plant physiology. However there exists a book called Calculus in Plant Science.
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Joseph Lofthouse

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Re: Calculus for plant breeding
« Reply #7 on: 2019-10-31, 12:16:23 PM »
@Joseph, or any other admin: as far as I know, short extracts of publications are allowed, as long as the source is cited. Is this also allowed for forums? If not, please delete this message.

We allow short quotes with proper attribution.