Growth functions
Use the Malthusian growth model to predict the population of Germany in 2000,
P20 = million.
If the actual population of Germany was 82.21 million in 2000, then the percent error between the population and the model is
Percent Error
Use the Malthusian growth model to predict the population of Turkey in 2000,
Q20 = million.
If the actual population of Turkey was 67.31 million in 2000, then the percent error between the population and the model is
Percent Error
b. Use the Malthusian growth models to determine how long it takes for each country’s population to double.
Population of Germany doubles in years
Population of Turkey doubles in years
According to the Malthusian growth models, the population of Germany is equal to the population of Turkey.
Populations are equal in years.
(14 pts) Because of the accuracy of WebWork, you should use 5 or 6 significant figures on all problems.
The population of Germany [1] was Po = 78.32 million in 1980, while in 1990 it was P10 2 79.41 million. The population in
Turkey [1] was Qo 2 45.06 million in 1980, while it was Q10 2 56.58 million in 1990.
a. Over a limited range of years, the population of most countries can be estimated using the Malthusian growth law, which is given
by:
Pn-l-l : (1+ k)Pn and Qn+1 : (1+ HQW
where n. is the number of years since 1980 with P” the population of Germany and Q” the population of Turkey. Use the data
above to find the annual growth rate of Germany
I; = 1.01392
and annual growth rate of Turkey
7‘ = 1.24456
Find the Malthusian growth model for the population of Germany,
P” : million.
(The expression above uses the values of Po and k and depends on n. in years.)
Find the Malthusian growth model for the population of Turkey,
Qn : million.
(The expression above uses the values of Qo and r and depends on n. in years.)
Use the Malthusian growth model to predict the population of Germany in 2000,