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 purplenecked parrots in San Diego. That spring, the parrots laid 4 eggs, three of which hatched and two reached reproductive age. Assume that the purplenecked 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 StudyReview Notes: Population Vocabulary
demography, demographer
population size
population density
population dispersion
clumping
uniform
random
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
densitydependent population controls
densityindependent population controls
carrying capacity (k)
overshoot
population momentum or populationlag 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 replacementlevel 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 childbearing 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)

ZPG
TFR
RFR
agestructure histogram
cohort
life expectancy
life history
survivorship curve
Type I
Type II
Type III
r strategist
kstrategist

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. ______________________________________________________________
ADVANTAGES:
DISADVANTAGES:
species that reproduce by having few or one offspring, one by one, and providing some to much parental care
e.g. _________________________________________________________
ADVANTAGES:
DISADVANTAGES:

Due Date: 2/25/2015
Subject: AP Environmental Science
APES U3:C7 FLASH CARD/STUDENT SELF STUDY NOTES
(# births + # immigrants – #deaths – # emigrants) / 100 = population growth rate
1

70 ÷ r
r = % annual growth rate
2

Highest birth rates in world are in subSaharan Africa, about 3% / year and in Middle East.
Lowest birth rates in world are in Europe
3

Zero population growth b/c # births = # deaths.
Or # births & immigrants = # deaths & emigrants
4

In 1798,
he predicted eventual mass starvation, poverty & disease if humans did not control population size.
5

He wrote the Population Bomb, a book that predicts massive famines if humans do not control population size.
6

Looks more pyramidal; wider at base, narrower near top
7

Looks more columnar
8

r = 1.4%
size = 6.5 billion (2006)
doubling time = 50 years
9

Total fertility rate = total # of babies that a woman will have during her lifetime.
TFR = 2.1 is replacement level
10

The maximum population of a species that can survive in a given habitat over a period of time
11

The maximum number of offspring that can be produced when food and space are unlimited.
12

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.
13

rstrategy = many, small & unprotected young are produced by mother. High population growth rate; early successional. e.g. rats, insects, fish
kstrategy = few/one, large young provided w/ parental care. e.g. elephants, humans, kangaroos 14

Graph that shows size of population in each cohort.
15

Population growth increases geometrically. It doubles and doubles and doubles.
16

world TFR = 3.0;
developed countries = 1.6; developing countries = 3.4
17

Increase # years of education for women, provide free or reducedcost birth control, reduce infant mortality w/ vaccinations & health care,
18

The population increases to carrying capacity, then wavers around C.C.
Population size is controlled by density factors
19

demography
20

China w/ 1.2 billion
India w/ 920 million
USA w/ 290 million
Indonesia
Brazil
21

clumping e.g. flocks, herds, schools
uniform e.g. creosote bush, penguin nests, barnacles
random e.g. dandelions
22

The size of population is controlled by factors that are DEPENDENT on the size of population.
e.g. food, space, transmission of diseases
23

The size of population is controlled by environmental factors
e.g. drought, fire, floods
24

13. overshoot 14. rstrategy & kstrategy 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
25

The hypothesis that the population of a country will go from high birth ratehigh death rate (ZPG) to high birth ratelowered death rate (high popul growth) to lowered birth ratelowered death rate (ZPG)
26

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 childbearing 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 www.census.gov
1. Population Density
2. Birth Rate
3. Death Rate

population = pop density
area
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%?

