Year (x) 0 10 20 30 40 Allele frequency (y) 0.1 0.2 0.3 0.4 0.5
Data Analysis for Allele Frequency Change
The provided data shows the relationship between Year (x) and Allele frequency (y):
| Year (x) | 0 | 10 | 20 | 30 | 40 |
|---|---|---|---|---|---|
| Allele frequency (y) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 |
We observe the changes in allele frequency over time. Let's check the rate of change:
- For every 10-year increase in 'x', 'y' increases by 0.1. This indicates a consistent, linear relationship.
Deriving the Linear Equation
A linear relationship can be represented by the equation $y = mx + c$, where 'm' is the slope and 'c' is the y-intercept.
1. Calculate the Slope (m):
The slope is the rate of change: $m = \frac{\Delta y}{\Delta x}$. Using points (0, 0.1) and (10, 0.2):
$m = \frac{0.2 - 0.1}{10 - 0} = \frac{0.1}{10} = 0.01$2. Determine the Y-intercept (c):
The y-intercept is the value of 'y' when x = 0. From the table, when x = 0, y = 0.1. Therefore, $c = 0.1$.
3. Formulate the Equation:
Substituting the values of 'm' and 'c' into the linear equation form:
$y = 0.01x + 0.1$This equation accurately describes how the allele frequency changes with the year.
Important Questions from Allele frequencies
- Consider a diploid population at Hardy-Weinberg equilibrium. For a locus with two alleles, the frequency of the $A_1A_1$ genotype is 0.01. The frequency of heterozygotes $A_1A_2$ is ________ (answer up to 2 decimal places).
- The frequency of an allele at a locus on the non-recombining region of the Y chromosome in humans is 0.3. If the population size is N and the sex ratio is 1:1, what is the number of copies of the alleles in the population?
The graph shows the relationship between a variable on the x-axis and genetic diversity on the y-axis. Each point represents a species and the trend line describes the relationship across species.
Select the most appropriate variable for the x-axis.- There are N individuals in a haploid population. At a given locus, there are 2 alleles, AL1 and AL2. The number of copies of allele AL1 is Z1, and the number of copies of allele AL2 is Z2 in the population. What is the frequency of allele AL2?
