Question

although a population has the same birth and death rates, the population size is increasing. what must be happening?

many individuals are leaving the population.

large numbers of individuals are migrating into the population.

Explanation:

🆕 New Concept Discovered: Population Growth Dynamics
How births, deaths, and migration change population size

Step 1: Identify the factors of population change

A population's size changes based on four primary factors:

1. Births (adds individuals)
2. Deaths (removes individuals)
3. Immigration (individuals moving in; adds individuals)
4. Emigration (individuals moving out; removes individuals)

This can be represented by the basic equation:

$$ \text{Population Change} = (\text{Births} - \text{Deaths}) + (\text{Immigration} - \text{Emigration}) $$

Step 2: Analyze the given scenario

We are given that the population has the same birth and death rates:

$$ \text{Births} = \text{Deaths} $$

$$ \text{Births} - \text{Deaths} = 0 $$

This means that natural births and deaths are balanced and are not causing the population size to change.

Step 3: Determine the cause of the increase

Since the population size is increasing, the overall change must be positive:

$$ \text{Population Change} > 0 $$

Substituting our balanced birth and death rates into the equation:

$$ 0 + (\text{Immigration} - \text{Emigration}) > 0 $$

$$ \text{Immigration} > \text{Emigration} $$

For the population to grow, more individuals must be entering the population (immigrating) than leaving it (emigrating). Therefore, large numbers of individuals must be migrating into the population.

Answer:

Large numbers of individuals are migrating into the population.