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Assignments - AP Environmental Science (Archived)
Due Date: 2/25/2015
Subject: AP Environmental Science

Name ___________________

Block _____     Date ________


U3 - C7  Population Math Worksheet #1


1. One thousand two hundred and seventy deer are living on an island that is eight hundred and thirty square kilometers in size. What is the population density of the deer per square kilometer?




2. A city with 53,340 people has 876 births. What is the birth rate (as a percentage and per thousand)?




3. Another city experiences 12 deaths for each thousand people. What is the death rate (as a percentage and per thousand)?




4. A village of 23,473 people has 2,342 births and 473 deaths. What is the growth rate for this village?




5. A small country of 744,785 people has 44,678 immigrants and 12,567 emigrants. They also experience 15,898 deaths and 35,665 births. What is the growth rate of this small country?





6. How many years will it take for this country to double its population?




7. If a country were doubling its population every 35 years, what would its growth rate be?




8. By accident (or maybe on purpose), the Rogliani Family released a pair of purple-necked parrots in San Diego.   That spring, the parrots laid 4 eggs, three of which hatched and two reached reproductive age.   Assume that the purple-necked parrots are reproductively mature after 24 months and that they live to be ten years old. How many of these parrots would be living in San Diego after 10 years, assuming none of them are killed by cats or kids with B.B. guns and that there was immigration and no more releases.



Due Date: 2/25/2015
Subject: AP Environmental Science

U3:C7 Student Study-Review Notes: Population Vocabulary




demography, demographer



population size


population density



population dispersion

















4 variables of pop growth


pop growth formula




logistic curve




exponential curve













the study of populations, person who studies populations.




number of individuals in a population at a given time





spatial pattern in which the members of a population are found in their habitat

















number of births, deaths, immigration (entering) & emigration (leaving)
















limiting factors






density-dependent population controls




density-independent population controls




carrying capacity (k)







population momentum or population-lag effect




birth rate (fecundity)



death rate (mortality)



% annual rate of natural pop change (g)





doubling Time (T)

(how many years for popul to double?)



biotic potential (reproductive potential)



life expectancy




the factors that limit the growth of a population. Not to be confused with Range of Tolerance which is the zone in which a population can survive.   A limiting factor is what prevents the population from surviving there.

















population temporarily exceeds the carrying capacity of its habitat;

occurs because of a reproductive time lag.



The time it takes for the population size to level off AFTER the growth rate has reached the replacement-level fertility rate. In other words, when the growth rate finally drops to 2.1, just enough to replace itself, the population will continue to increase for a while because of the portion of the population who are still in their child-bearing years. The final population size will be much larger than when 2.1 was achieved.   May take 50 to 200 years.




















the maximum rate at which a population could grow if it had unlimited resources; depends on having a certain minimum population size (critical size)


















age-structure histogram








life expectancy


life history


survivorship curve


                 Type I


                 Type II


                 Type III












r -strategist





















a stacked bar graph comparing

population sizes of different cohorts       _______________     ______________

                                                                   rapidly growing         stable size






length of time an individual of a certain age in a given species can expect to survive


an organism’s schedule of birth, reproduction ,death


shows the number of survivors of each age group for a particular species


high rate of survival of young, most die old e.g. _________________________


constant rates of survival, die whenever. e.g. ______________________________


high rates of mortality of young; a few reach adulthood.

                 e.g. ___________________________________________________











species that reproduce at young age, in short generations, having many offspring and providing little parental care, when conditions are favorable.

e.g.   ______________________________________________________________




species that reproduce by having few or one offspring, one by one, and providing some to much parental care

e.g.   _________________________________________________________




Due Date: 2/25/2015
Subject: AP Environmental Science




(# births + # immigrants – #deaths – # emigrants) / 100 = population growth rate







70 ÷ r


r = % annual growth rate




Highest birth rates in world are in sub-Saharan Africa, about 3% / year and in Middle East.


Lowest birth rates in world are in Europe



Zero population growth b/c # births = # deaths.


Or # births & immigrants = # deaths & emigrants





In 1798,

he predicted eventual mass starvation, poverty & disease if humans did not control population size.





He wrote the Population Bomb, a book that predicts massive famines if humans do not control population size.





Looks more pyramidal; wider at base, narrower near top







Looks more columnar





r = 1.4%

size = 6.5 billion (2006)

doubling time = 50 years




Total fertility rate = total # of babies that a woman will have during her lifetime.


TFR = 2.1 is replacement level




The maximum population of a species that can survive in a given habitat over a period of time




The maximum number of offspring that can be produced when food and space are unlimited.



1. population growth rate formula   2. Time for population to double   3. Where on Earth are highest birth rates & lowest birth rates?   4. ZPG   5. Thomas Malthus said…     6. Paul Ehrlich said…     7. Age Structure graph for Kenya, Nigeria and Saudi Arabia. 8. Age Structure graph for Italy, Ireland and Japan. 9. Annual population growth for world, size of human population, doubling time   10. TFR   11. carrying capacity   12. biotic potential


A temporary condition when the size of the population exceeds the carrying capacity.





r-strategy = many, small & unprotected young are produced by mother.   High population growth rate; early successional. e.g.   rats, insects, fish

k-strategy = few/one, large young provided w/ parental care. e.g. elephants, humans, kangaroos       14



Graph that shows size of population in each cohort.






Population growth increases geometrically. It doubles and doubles and doubles.







world TFR = 3.0;

developed countries = 1.6; developing countries = 3.4





Increase # years of education for women, provide free or reduced-cost birth control, reduce infant mortality w/ vaccinations & health care,




The population increases to carrying capacity, then wavers around C.C.

Population size is controlled by density factors














China w/ 1.2 billion

India w/ 920 million

USA w/ 290 million






clumping e.g.   flocks, herds, schools

uniform e.g.   creosote bush, penguin nests, barnacles

random e.g.   dandelions





The size of population is controlled by factors that are DEPENDENT on the size of population.

e.g. food, space, transmission of diseases




The size of population is controlled by environmental factors

e.g. drought, fire, floods




13.   overshoot   14. r-strategy & k-strategy   15. Age structure graph   16. Exponential popul graph   17. TFR for world, developing and developed nations.   18. Ways to reduce TFR   19. logistic popul graph   20. The study of populations 21. 5 most populous countries on Earth   22. population dispersion patterns   23 density dependent factors   24 density independent factors



Per person


e.g. the average annual income was $4589 per capita




The hypothesis that the population of a country will go from high birth rate-high death rate (ZPG) to high birth rate-lowered death rate (high popul growth) to lowered birth rate-lowered death rate (ZPG)


There is a period of time (50 to 200 years) after a country has passed through the demographic transition when the popul is still increasing. Caused by large size of child-bearing cohort.           27










25. Per capita   26. Demographic Transition   27. Population momentum   28.

Due Date: 2/25/2015
Subject: AP Environmental Science

Name ______________________________

Block _________


U3:C7 Student Notes: Population Math


Statistics provided from



1. Population   Density














2. Birth Rate

















3. Death Rate






population   =     pop density




Ex 1 - What is the density of people in USA? (all 50 states)

pop in 2000 = 281,421,906           area = 3,537,438 sq miles




Ex 2 - What is the population density of Tennessee?

pop in 2000 = 5,689,283            area =   41,217 sq miles





births in one year   X   100 =   birth rate % per year        

total population


(Then - change answer to births per 1000)


Ex 1 - What is the birth rate for Siberian tigers if 18 Siberian tigers were born in captivity last year and the total world population is 450?





Ex 2 - What is the population birth rate in Tennessee?

           births = 79,642            total TN pop = 5,689,283





deaths in one year   X   100 =   death rate % per year        

total population


Ex 1 - What is the death rate in Tennessee?

           deaths = 55,829         total pop = 5,689,283






4. Population Growth Rate (g)














5. Doubling Time


(how long for the population to increase by 100%?)
















Additional Population Math Information


1. How do you calculate future population sizes?



births - deaths + immigration - emigration   X   100 = growth rate

                 total population                                                        



Ex 1 - What’s the growth rate for California between 1 July 2001 & 1 July 2002?

births = 528,151

emigration out =   231,440

deaths = 232,790

immigration in =307,640

total population =   34,655,000






   70____  =   doubling time

g as a %


Ex 1 - How many years for California to double its population with a current

         growth rate of 1.07% ?




Ex 2 – What is the Pop Growth rate for Libya if the population doubles every

           18.9 years?




Ex 3 – TN had a growth rate of 6.1% from April 1, 2000 to July 1, 2006 with a total population of 6,038,803 in 2006. How many years will it take for TN to double its population?






Formula   pop in a   future year = pop ● (1 + r) x    

r = growth rate in decimal form

x = number of years in the future

(assumption - the growth rate will remain constant)


Ex 1 - What will the population of Tennessee be in July 2020 if starting

             population is 6,038,803 and the rate of growth is 6.1%?