Final answer:
The daily rate of change in a population (P) is derived from the per capita rates of births, deaths, immigration, and emigration. Using an example, the U.S. has a net growth of 0.4% with a birth rate of 12 per 1,000 and a death rate of 8.1 per 1,000 per year. The formula for calculating daily change is dN = (b - d + i - e)N.
Step-by-step explanation:
Daily Rate of Population Change
The daily rate of change in a population, denoted as P, can be calculated by taking into account the per capita rates of births, deaths, immigration, and emigration. To properly understand this concept, consider the following example: Example 3.3.1 illustrates that the U.S. has a birth rate of about 12 people per 1,000 per year, and a death rate of 8.1 people per 1,000 per year, resulting in a net growth of roughly 0.4%. Similarly, a country in the early stages of demographic transition might have a birth rate of 35 per 1,000 and a death rate of 15 per 1,000, leading to a net population increase of 20 people per 1,000 each year.
Calculating the daily rate of change involves using the formula: dN = (b - d + i - e)N, where b is the per capita birth rate, d is the per capita death rate, i is the per capita immigration rate, and e is the per capita emigration rate. The letter N represents the number of individuals in the population. For a population in which the birth rate exceeds the death rate, and immigration exceeds emigration, there will be a positive growth rate indicating a growing population.