1. Population Math Notes

2. Population Density= Individuals/ Land area CDR= Deaths/ 1000
Death Rate as a %= Deaths/ Total population * 100
CBR= Births/1000
Birth Rate as a %= Births/ Total Population * 100
Doubling Time ( in years)= 70/ % Growth Rate
Growth Rate= (B+I) – (D+E)/ total population * 100
Growth Rate= B-D/ total population * 100

3. Calculating Population Density
Formula
Population Density = # individuals/ given area
Problem
What is the population density of a country where 720 million individuals occupy a region of 500 million square kilometers?

4. Your Turn!
NO. 1
If there are 28 deer living on 56 ha of land, what is the population density?

5. Calculating Population Size
Formula
Population Size= Popi + {(b+i) – (d+e)}
Problem
Calculate the population of a town of 400 that experiences 40 births and 20 deaths within a given year. Immigration must also be considered as 12 people have moved to the community and 4 other individuals who have moved away.

6. Your Turn!
NO. 2
The initial population is 36. If there are 4 births, 6 deaths and 3 immigrants, calculate the new population size.

7. Calculating Growth Rate of a population
Formula
Growth Rate = {(b+i) – (d+e)}/ Pop Size * 100
Problem
Calculate the growth rate of a town of 400 that experiences 40 births and 20 deaths within a given year. Immigration must also be considered as 12 people have moved to the community and 4 other individuals who have moved away.

8. Your Turn!
NO 3
Determine the growth rate considering the following data: The initial population is 36. Four individuals are born and 6 individuals die. 3 individuals immigrate into the community.
Round to the nearest whole number!

9. RULE of 70 Calculating Doubling Time Formula
DT= 70/ Growth Rate (as a %)
Problem
Calculate the time it will take for a town of 400 to double its population. The town experiences 40 births and 20 deaths within a given year. Immigration must also be considered as 12 people have moved to the community and 4 other individuals who have moved away.

10. Your Turn!
No. 4
India is doubling every 7 years. What is the growth rate of India?

11. Calculation Crude Birth Rates and Death Rates
Formula
CDR= deaths/ 1000 CBR= births/ 1000
Problem
There are 20 deaths per 2000 vampire bats in Costa Rica. What is the crude death rate?

12. Your Turn!
No. 5
There are 30 births in a population of 6000 mountain lions. What is the crude birth rate?

13. Your Turn!
Problem No. 6
Globally, the crude death rate is 15 while the crude birth rate is 20. Calculate the number of years it will take for the population to double if these rates remain constant.

14. Your Turn!
Problem No. 7
The world’s population in 2000 was 6 billion. Assuming a constant growth rate of 2 percent, in what year would the world population be 12 billion?

15. Your Turn!
Problem NO. 8
A population with a crude birth rate of 46 and a crude death rate of 12 is growing at what annual percentage rate?