This problem requires calculating the number of adult males in a bird population based on the given sex ratio, reproductive success, and total population size.
Let M be the number of adult males and F be the number of adult females.
From the sex ratio, we know that M / F = 3 / 2. This implies M = (3/2) * F.
The total number of adults is A = M + F.
Substituting M: A = (3/2) * F + F = (5/2) * F. Therefore, F = (2/5) * A.
And M = (3/5) * A.
The total population (P) consists of adult males, adult females, and juveniles produced.
Number of juveniles produced = Number of females (F) × Juveniles surviving per female.
Number of juveniles = F × 4.
Total population P = M + F + (F × 4).
Since A = M + F, we can write:
P = A + (F × 4).
Substitute F = (2/5) * A:
1300 = A + ((2/5) * A × 4)
1300 = A + (8/5) * A
Combine the terms for A:
1300 = A * (1 + 8/5)
1300 = A * (5/5 + 8/5)
1300 = A * (13/5)
Solve for the total number of adults (A):
A = 1300 × (5/13)
A = 100 × 5
A = 500 adults.
Now, calculate the number of adult males (M) using the ratio:
M = (3/5) * A
M = (3/5) * 500
M = 3 × 100
M = 300 individuals.