Step 1: Understanding the Concept:
The genetic structure of a population can be modified by evolutionary forces such as migration, mutation, selection, and systems of mating like inbreeding.
Understanding these dynamics is essential for managing genetic diversity in livestock herds.
Step 2: Detailed Explanation:
Let us evaluate both statements:
Statement (I) is correct.
Migration (immigration) introduces new alleles into a native population.
The change in gene frequency (\( \Delta p \)) due to migration is:
\[
\Delta p = m(p_m - p_0)
\]
where \( m \) is the rate of immigration, and \( (p_m - p_0) \) is the difference in gene frequency between the immigrants (\( p_m \)) and the natives (\( p_0 \)).
This shows the change depends directly on both factors.
Statement (II) is correct.
Inbreeding increases homozygosity by splitting a population into distinct homozygous lines.
While the genetic variance *within* inbred lines decreases, the genetic variance *between* these lines increases.
The total genetic variance of the entire population increases proportionally with the inbreeding coefficient (\( F \)):
\[
V_{Total} = V_G (1 + F)
\]
Therefore, both statements are correct.
Step 3: Final Answer:
Both Statement (I) and Statement (II) are correct.