Allele frequencies of the next generation

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Discussion Overview

The discussion revolves around calculating allele frequencies in a population of beans, specifically focusing on light-colored (F) and dark-colored (f) beans. Participants explore the application of the Hardy-Weinberg equation to determine initial allele frequencies and consider implications for the next generation.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant outlines the initial conditions of the problem, stating there are 75 light beans and 25 dark beans, and attempts to calculate allele frequencies using the Hardy-Weinberg equation.
  • Another participant suggests that the question may not actually concern the next generation but rather the current generation, emphasizing the assumption of genetic equilibrium in Hardy-Weinberg.
  • There is a claim that the dark beans represent the genotype ff, which is a common convention for recessive genes, leading to a discussion about calculating the frequency of f based on the given data.
  • Some participants express confusion about the question and the calculations, indicating that they may have overthought the problem.
  • One participant states that the allele frequencies in the next generation would remain the same as the current generation, contingent on population size and other factors.
  • Disagreement arises regarding the specific allele frequencies, with one participant asserting that the frequencies are .75 for F and .25 for f, while others challenge this conclusion.
  • Another participant hints at a classic example of inheritance ratios, suggesting a connection to familiar genetic principles.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific allele frequencies, with some asserting .75 for F and .25 for f, while others express skepticism about this conclusion. The discussion remains unresolved regarding the exact calculations and interpretations of the problem.

Contextual Notes

There are indications of confusion regarding the problem's wording and the assumptions underlying the Hardy-Weinberg equilibrium. Participants also note the potential for misinterpretation of the question's intent.

Adriane
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Homework Statement


Starting with 75 light-colored beans and 25 dark-colored beans, the 100 beans represent my gene pool. Light beans = F and dark beans = f.
p = (total F alleles) / (total number of beans used)

And now I'm stuck where it's asking me to "practice determining the initial allele frequencies (p and q) for both F and F alleles, but change the top number to genotype ff x 2."

Homework Equations


Hardy-Weinberg equation = p^2 + 2pq + q^2 = 1

The Attempt at a Solution


I got this far:
I have 75 light beans and 25 dark beans. Light beans = F and dark beans = f.
Number of offspring with genotype FF (2 light beans) = 75 x 2 = 150

Number of offspring with genotype Ff (one dark one light) = 25 x 1 = 25

Total F alleles = 175

I thought to find the allele frequencies of p and q in the next generation I had to square them and then do 2pq and add it, but nothing I do adds up to 1.
 
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Adriane said:

Homework Statement


Starting with 75 light-colored beans and 25 dark-colored beans, the 100 beans represent my gene pool. Light beans = F and dark beans = f.
p = (total F alleles) / (total number of beans used)

And now I'm stuck where it's asking me to "practice determining the initial allele frequencies (p and q) for both F and F alleles, but change the top number to genotype ff x 2."

Homework Equations


Hardy-Weinberg equation = p^2 + 2pq + q^2 = 1

The Attempt at a Solution


I got this far:
I have 75 light beans and 25 dark beans. Light beans = F and dark beans = f.
Number of offspring with genotype FF (2 light beans) = 75 x 2 = 150

Number of offspring with genotype Ff (one dark one light) = 25 x 1 = 25

Total F alleles = 175

I thought to find the allele frequencies of p and q in the next generation I had to square them and then do 2pq and add it, but nothing I do adds up to 1.

It was not very easy to make out what the question was (it would have been better to quote from your book or problem sheet) but it seems the question is nothing about the next generation but about the one you've got. You've quoted Hardy-Weinberg, which assumes genetic equilibrium so the next generation will have just the same frequencies of everything as this. I would bet it says that the dark beans are ff, doesn't make too much sense otherwise. Small letters conventionally represent recessive genes. So you re told the frequency of ff, not too difficult to work out the frequency of f.
 
epenguin said:
It was not very easy to make out what the question was (it would have been better to quote from your book or problem sheet) but it seems the question is nothing about the next generation but about the one you've got. You've quoted Hardy-Weinberg, which assumes genetic equilibrium so the next generation will have just the same frequencies of everything as this. I would bet it says that the dark beans are ff, doesn't make too much sense otherwise. Small letters conventionally represent recessive genes. So you re told the frequency of ff, not too difficult to work out the frequency of f.
Thank you so much, turns out I was being played by my teacher. He wanted to see if we would come to this conclusion, and I over thought the whole thing. Thanks again.
 
So what is the answer?
 
The answer is just what you said, that in Hardy-Weinberg equilibrium the allele frequency would stay the same through each generation. So basically all that work for a simple answer.
 
So the allele frequencies in next generation remain the same as for this generation (most probably, for large enough populations etc.) but the question was what are they?
 
It was .75 for F and .25 for f.
 
Adriane said:
It was .75 for F and .25 for f.

I don't think so.
 
Last edited:
epenguin said:
I don't think so.
Then what do you think it was?
 
  • #10
Adriane said:
Then what do you think it was?

The rule is I shouldn't answer for you. But you could not have a more classic first-lesson example of inheritance in a diploid organism with dominant/recessive genes; does a phenotype 3:1 ratio remind you of anything?
 
Last edited:

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