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Question

A population of birds has a 3:2 male to female adult sex ratio at the beginning of the breeding season. During the breeding season, every female produces 8 eggs of which 4 survive to become juveniles. A census at the end of the breeding season accurately estimates the bird population to be 1300 individuals. Assuming no deaths, the number of adult males in this population is ______ individuals.

Bird Population Analysis: Calculating Adult Males

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.

Understanding the Given Data

  • Initial adult sex ratio (Male:Female) = 3:2
  • Eggs produced per female = 8
  • Juveniles surviving per female = 4
  • Total population at the end of the season = 1300 individuals
  • Assumption: No deaths occurred.

Step-by-Step Calculation

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.

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Important Questions from Population characteristics

  1. Consider the following strains of an influenza virus and their basic reproduction numbers ($R_0$). Assuming that they are all equally virulent, which one of the following strains would be most concerning for a completely vulnerable population of humans?
  2. Which one of the following sets of characteristics is most likely to cause population extinction via demographic stochasticity?
  3. What is the relationship between effective population size ($N_e$) and total population size ($N$) of any naturally occurring eukaryotic population?
  4. The effective population size of a sexually reproducing, diploid, animal species will be highest when the sex ratio (number of reproducing males / number of reproducing females) is
  5. Which of the following plots describes the expected relationship between population size (y-axis) and generation time (x-axis) in vertebrates? Here, each data point represents a different vertebrate species and the generation time is defined as the average interval between two generations.
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