Darwin's Main Mechanisms of Evolution
Charles Darwin described several key mechanisms that drive evolution-the process by which species change over time. The most important mechanism he identified is natural selection, but he also discussed variation and inheritance.
1. Variation
Individuals within a species show variation in physical and behavioral traits. These differences can be inherited from parents.
2. Inheritance
Traits that provide an advantage are more likely to be passed on to the next generation. This is because offspring inherit characteristics from their parents.
3. Natural Selection
Natural selection is the process by which individuals with advantageous traits survive and reproduce more successfully than others. Over time, these traits become more common in the population.
Worked Example: Natural Selection in Peppered Moths
Suppose a population of moths has two color variants: light and dark. Birds are more likely to spot and eat light moths on soot-darkened trees.
Let:
- $p$ = proportion of dark moths
- $q$ = proportion of light moths
- $p + q = 1$
- Dark moths have a survival rate of $0.8$ - Light moths have a survival rate of $0.4$ - Initial population: $p = 0.5$, $q = 0.5$
- Darwin's main mechanisms: variation, inheritance, and natural selection.
- Natural selection favors traits that improve survival and reproduction.
- Advantageous traits become more common in a population over generations.
Assume:
After one generation:
Number of surviving dark moths:
$$
\text{Dark: } 0.5 \times 0.8 = 0.4
$$
Number of surviving light moths:
$$
\text{Light: } 0.5 \times 0.4 = 0.2
$$
Total survivors:
$$
0.4 + 0.2 = 0.6
$$
New proportion of dark moths:
$$
p' = \frac{0.4}{0.6} = \frac{2}{3}
$$
New proportion of light moths:
$$
q' = \frac{0.2}{0.6} = \frac{1}{3}
$$
Result: The proportion of dark moths increases due to higher survival.