Population Math Notes Population Density Individuals Land area

Population Math Notes

• 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

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?

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

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.

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

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.

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!

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.

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

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

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

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.

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?

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?