The exponential growth model for a population contains certain assumptions, for example:
1. There is constant rate of birth and death among the individuals of the population.
2. There is no immigration and emigration taking place in the population.
3. There are no genetic variations among the individuals of the population.
4. Variations in age and size among population members are not included
a. Explain how failing to make these assumptions will affect your exponential growth model (use at
least two of the assumptions above).
The formula for the exponential growth model is: A = Ao*e^(kt), where:
Ao - original size
k - constant representing the growth rate.
t – amount of time
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1. If there is not a constant rate of birth and death among the individuals of the population, the population growth will not follow the exponential growth model. Fluctuations in birth and death rates can lead to unpredictable changes in population size over time. For example, if there is a sudden decrease in birth rates or an increase in death rates, the population may not grow exponentially as expected.
2. If there is immigration and emigration taking place in the population, the population size will not follow the exponential growth model accurately. The introduction or removal of individuals from the population can significantly impact the growth rate and size of the population. For example, if a large number of individuals immigrate into the population, the growth rate may increase beyond what would be predicted by the exponential growth model.
Overall, failing to make these assumptions can lead to inaccuracies in predicting population growth using the exponential growth model. It is important to consider these factors when using this model to understand and predict population dynamics.
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