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population size inputs
immigration and births
population size outputs
emigration and deaths
population size
n
number of individuals
population density
number of individuals of a species per unit area or volume at a given time
individuals/area= density (#/km²)
population distribution
how species/ populations are distributed, spacial locations of each individual within a population
random distribution
ex.~ dandelions or some marine organisms
do so when there are no strong attractions or repulsions between individuals
when resources are evenly distributed throughout the environment.

uniform distribution
evenly spaced
to minimize direct competition for limited resources or to establish and maintain territories
Examples include territorial animals like the crested penguin and plants like the sage plant, which space themselves evenly due to their competitive needs for resources like water, sunlight, or the release of toxins that inhibit nearby plant growth.Â

clumped distribution
for protection
unevenly distributed resources (water, nutrients), the need for protection from predators through group defense, or social and reproductive needs, such as mating or raising young
Examples include schools of fish, herds of elephants, and oak trees growing near parent trees.

population sex ratio
ratio of males to females
number of offspring produced is a function of how many females there are
population age structure
in a pyramid, describe how population is changing
male vs. female or developed vs. undeveloped
slope (top to bottom) determines speed
3 colors show pre-productive, reproducing, post-producing (reproductive ages)
density dependent limiting factors
factors that influence the individuals survival and reproduction in a way that depends on the size of the population
competition increases (for resources like food, water, etc.)
spread of disease
predation
prey-predator
density independent limiting factors
factors that affect population size, but is not influenced by changes in population density
external influences
nothing to do with how densely pact they are
human distrubances
natural disasters
exponential growth model
J-shaped curve
all species grow exponentially until r-selected species crash/outcompete themselves: dieoff
biotic potential: max growth rate
may grow exponentially because of lots of offspring, maybe no predators, living in ideal environment
logistic growth model
s-shaped curve
logarithmic
organisms that live at their carrying capacity
more select
k-selected species
overshoot
when a population grows beyond the environment's carrying capacity leading to resource depletion
on a graph: find the peak value that the signal temporarily exceeds after a transition and compare it to the steady-state value
dieback
a sharp decline in a population size that occurs after the population exceeds its carrying capacity
on a graph:sharp, steep downward slope or a sudden drop
carrying capacity (K)
max number of organisms an environment can support
on a graph: look for the horizontal line that represents the maximum population size the environment can sustain, which is typically the point where an S-shaped (logistic) curve flattens out

biotic potential: r
max growth rate
on a graph: looking for the J-shaped (exponential) growth curve
r- select species typically grow at their biotic potential
k-selected species
ex.~ elephant
long life span
long time for reproductive maturity
few number for reproductive events
few offspring
low biotic potential (gradual/ not steep curve)
large offspring
present parental care
slow pop. growth rate
density dependent pop. regulation
strategy is carrying capacity
r-selected species
opportunistic: reproduce and disperse rapidly
ex.~ cockroach
short life span
short time for reproductive maturity
many number of reproductive events
many number of offspring
high biotic potential (steep slope)
small size of offspring
absent parental care
fast pop. growth rate
density-independent pop. regulation
strategy is biotic potential
type 1 survivorship curve
you have high survival rates for organisms until later in life
ex.~ humans, tortoises, elephants (k-select species)
parental care, resource availability, and life-history strategies influence shape

type 2 survivorship curve
linear decline
survivorship is independent of ageÂ
have this because of predation
consistent external pressures like predation, disease, and stable environmental conditions effect shape
ex.~ songbirds, squirrels

type 3 survivorship curve
high death rate early in life and those who survive live until later in life (few)
high early mortality due to factors like predation and low parental care, combined with high reproductive output effects shape
ex.~ frogs, turtles, fish, trees, (r-select species)

population size equation: nert (exponential growth)
N=Noe^RTÂ
N= new pop. size
No=og. pop. size
t= time in years
r= intrinsic growth rate as decimal
e= e^x key on calc or 2.72, natural log
always round down
growth rate equation
r= (b-d) +(i-e)
b=birth
d=death
i=immigration
e=emigration
“crude” = # / 1000
doubling time (rule of 70)
D.T= 70/R
rate must be in %
projecting time of pop. growth (rarely used)
t= (1/r)ln(N/No)
r= growth rate (as a decimal)
ln= natural log
N= future pop. size
No= current pop. size
theory of island biogeography
a balance between immigration and extinction rates, which are affected by an island's size and distance from the mainland
pre-industrial stage
ex.~ north sentinal island
birth rate is high
lack of contraceptives
one person having 9-10 children may be common
need for people to perform jobs
cultural (don’t realize we don’t need that many babies)
death rate is highÂ
lack of medicine
exposed to elements
lack of nutrition
lack of prenatal care
pop. size is stable or slowly increasing
transitioning stage
ex.~ African nations, 3rd world countires
Birth rate is high
lack of contraceptives
one person having 9-10 children may be common
need for people to perform jobs
cultural (don’t realize we don’t need that many babies)
Death rate is falling rapidly
developing medicines
better nutrition
more education
family planning
contraceptives
advanced medicines
hygieneÂ
pop. size is rapidly increasing
industrial stage
ex.~ India, China
Birth rate is falling
less need for manual labor
intro of manufacturingÂ
technology replaces need for people
death rate is falling slowly
developing medicines
better nutrition
more education
family planning
contraceptives
advanced medicines
hygieneÂ
pop. size: increase is slowing down
post-industrial stage
ex.~ developed countries
birth rate is low
more educational opportunities, careers over families
less need for workers
cost
death rate is low
highly structured society
working conditions are better
advanced medicines
elderly care
better ideas for nutrition
money to have access
pop size is stabilizing
declining stage
ex.~ Russia, South Korea
birth rate is yet to be seen, maybe falling further, then rising again
more educational opportunities, careers over families
less need for workers
cost
death rate is low
highly structured society
working conditions are better
advanced medicines
elderly care
better ideas for nutrition
money to have access
pop. size shows little change
population momentum
the continued population growth that occurs even after fertility rates have fallen, because there is a large cohort of young people who will have children in the future
replacement fertility rate
needing about 2.1 children per woman to maintain a stable population, considering factors like mortality and emigration
Rosling uses this to explain that population growth is stabilizing, and even though people often have incorrect ideas about fertility rates, the trend is a decline due to factors like improved education, health, and family planning, which he believes will lead to population growth hitting a limit
total fertility rate
the average number of children a woman would have in her lifetime, which has declined globally to about 2.5 children per woman
is also linked to a country's development level
the documentary uses this metric to argue that the world is not facing an uncontrollable population boom, but instead a manageable one