# Saad Mohammed - Population Calculations WS.pdf - POPULATION...

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POPULATION CALCULATION WORKSHEETYou will need to be familiar with these equations in order to understand population dynamics andconsider their effect on sustainable living.POPULATION DENSITY(population)=Population Densityareafor example:(270,000,000 people)= 29 people per square kilometer9,166,605 sq. km.BIRTH OR DEATH RATES:(# of births or deaths per year)=Birth or Death Ratetotal populationNOTE: to find Crude Birth/Death Rates, multiply the rate by 1,000for example:(23,452 births)= 0.025 = 2.5% birth rate942,721 people25 = Crude Birth RateFINDING POPULATION GROWTH RATE (r):(This does not include immigration or emigration)(crude births – crude deaths)= r %births – deathsX 100= r %10total populationORfor example:(40 - 30)= 1.0%28,546 births – 24,389 deathsX 100 = 0.9%10455,387 total peopleFINDING THE DOUBLING TIME OF A POPULATION : THE RULE OF 70!!!(This only applies if the population is growing exponentially)Why 70?It is 100 x ln(2).What does that mean?Who cares…the math works!(70%)or(0.7)= Doubling Time (dt) in yearsr (in percentform)r (in decimalform)for example:(70%)or(0.7)= 10 years7%0.07
FINDING FUTURE POPULATION FROM GROWTH RATE:(initial population)X(growth rate)years=Final Population

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