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What factors contribute to a population change?
lack of predators, resources, favorable climate, ability to outcompete nearby species.
how do populations grow in a pattern
by mult
What condition does pop grow under
births > deaths
Exponential growth
occurs in pop w/ continuous reproduction and overlapping generations
example of exp growth
humans!
Equation for exp growth no need to memorize equation but memorize the parts
< insert equation image>
e = constant (2.718)
r = finite rate of inc (exp growth rate), assume it’s constant
t = time
Example of exp growth curve
it’s J-shaped <insert image here>
With exp growth, what happens when r = 0?
Flatline @ 1, aka no change w/ pop growth
With exp growth, what happens when r>0
pop grows (quicker inc in population size over time!)
With exp growth, what happens when r<0
pop dec
Geometric population growth
You get points that would form a j-shaped curve
<
Geo pop growth examples
cicadas and salmon
Exp growth: as pop size inc, pop growth rate…
increases linearly!
<insert image>
Exp growth: as pop size inc,per capita growth rate aka “r”…
stays constant
bc we assume r to be constant in equation
<insert image>
Why can’t populations grow indefinitely?
Bc there’s limited # of atoms in universe
Limits to pop growth (aka regulating factors)
Regulating factors (4 of them)
depletion of food sources
space depletion
inc aggressive interactons
accumulation of waste → slower growth/reduced survivle, reduced fecundity (means fertility) → reduced pop growth!
Logistic growth
<insert equation>
adds the density into account + regulating factors
Breakdown logistic equation
r = finite rate of inc under ideal conditions
N = current pop size
K = carrying capacity
Logistic growth assumption
assume that K is constant
Intrinsic factors contributning to pop size
what is in the pop
births + deaths
dispersal (immigration into/ emigration out of)
Extrinsic forces for pop growth
stuff outside pop influencing it
resources
predators
disease
pop growth rate vs pop size graph
compare to
pop size vs time
<insert lionfish graph>
Negative density dependent factors
reduce pop’s growth rate when pop’s density (and thus size) is large through one of these measures:
reducing survivval
reduce reproduction
reduce growth of individuals
examples of neg density dep factors (4 of them)
Intraspecific competition (same species)
Interspecific predation (diff species)
disease + parasites
Social behavior (aggression bc species don like being next to each other)
Density dependent factors… (2 things)
change as pop density changes
can regulate populations
Density indep factors
don’t regulate pop size
impact the population no matter its size
Density indep factors examples
environmental factors (hurricanes, droughts,…)
<insert zero pop growth question>
3 and 4 <insert image>
Is carrying capacity constant in the REAL WORLD?
NO! it is variable
K is constant only when birth and death rate curves intersect
when there is variation in birth + death rate, K can vary
<insert image>
In real life, pop’s fluctuatte around equilibrium point (when environment is variable)
yeah, that.
Logsitic growht in nature
pop size inc initially then levels off at a max pop size
<The chart>
<insert answers>
Why do we get sick? (5 reasons)
sick = physically un-well
infection by pathogens
Novel environments (shift from ancestral environment to modern day, giving allergies)
Trade-offs (consider benefits and harm) ex. sickle cell allele is harmful (gives sickle disease) but can have resistance to malaria
Evolutionary legacies (we evolved from ancestors that don’t work, we have hip+knee problem)
defenses (symptoms of diseases are our immune system’s defense)
Where do new pathogens come from?
animal hosts (zoonotic disease)
due to agricultural society and close contact w/ animals
Different stages of infection
agent only in animals (only animal to animal)
primary infection (animal to human only)
limited outbreak ( few cycles human to humans)
long outbreak (lotta human to human transmission)
exclusive human agent (only human to human transmission)
What happens over time when there’s only 2 conditions: susceptible and infected
Everyone becomes susceptible, and everyone gets infected
When we have 3 conditions (susceptible, infected, and recovered) what happens over time?
people eventually recover!
SIR and how does isolation affect it?
increases rate of recovery!
SIR model
s = # susceptible indiv
I = # infected indiv
r = # recovered indiv
Beta = transmission rate (rate of encounter between susceptible and infected indiv, how ofter you come across infected person times probability that encounter causes infection)
L = infectious period (length of infection,, expected time it takes to recover, how long are you sick?)
Graph for SIR
White = susceptible pool
Orange = infected
Pink = recovered
susceptible only decreases thru time
pink only increases thru time
Infection is driven by…
contact between S and I indiv, as well as the transmission rate
REcoveryrate
indiv
Recovery of I
TTQ about sir
If you’re just looking at data it’s just the first 2!
insert image
5 of them: What assumptions do we make with SIR model?
recovered can’t get reinfected
Everyone gets infected in same rate, beta don’t change (pathogen don’t become more infectious)
infected individuals are instantly infectious
no deaths (only recovery is possible)
no birth (individuals added to susceptible pool)
Which rate (infection or recovery) gets affected with
masks
social distance
vax
testing + isolation
masks + social distance decrease transmission rate (beta) in different ways
vax = increases recovery rate (L)
Testing + isolation = less people in contact with sick people means that beta decreases
Herd immunity
the proportion of vaccinated people is high enough to ensure that each infected peorson infects less than one susceptible person
immunization slows spread of disease inc herd immunity
if # of people in community w/ vax decreases, chance of disease outbreak….
inc!
“There’s always going to be a bigger fish”
Why is this a false statement
limited amnt of energy in ecosystem, so it can support only some organisms
all the energy available In one level ain’t available in the next
Trophic efficiency
the production of a trophic level relativ e to the one below it
Between each level you lose energy!
Keystone species
small pop, big impact
have large effects on community despite lower abundance bc of strong interactions
Dominant species
large amnt of them
have a large effect on identity and diversity of other species in community bc of abundance/large biomass
What should you look at when differentiating keystone and dom speices?
look @ biomass and total impact!
<graph slide 19>
Different types of competition (3)
Direct: Predation, Competition
between 2 species, include trophic+nontrophic interaction
Indirect: can be positive or negative
when relation between 2 species is mediated by a third species
Competition
A and B wanting same resources competing with eachother
predation
C hates on A, B gets food
Indirect
It’s literally what it sounds like <cba triangle>
Species composition
types of species in community
Interactions of multiple species (2)
Density mediated indirect interactions (DMII)
Density mediated indirect interactions (DMII)
change in density due to pos or neg interactions
<get diagram>
Trophic cascade
One species indirectly affects other species at diff levels in the food chain
rate of consumption by predator affects lower trophic levels (ex wolves positively affecting growth of grass)
Top down vs bottom up
Top down: predator keeps the population in check
Bottom down: depletion of resources (water, sunlight, food…) keeps the pop in check
Can you have more than one type of relationship between species?
yes!
ex. the pisasters and chitons: direct neg (eats the chiton) and indirect positive (eats competition, limpets)
pls review pisaster + yellowstone case study!
do it. pls. 10/27 slides.
Biogeography
Island
an area of suitable habitat surrounded by inhospitable “matrix”
“Island” biogeography
studies factors that affect species richeness in isolated communities
The island problem <>
Highest to lowest A (d or c) (d or c) B
Islands: the larger the area, the (more/less) the species
more!
Why do we expect larger islands to have more species?
(C)
higher habitat diversity
larger pop size, lower extinction rates
Larger island DOES NOT ALWAYS mean closer to mainland!
Why is there effect on isolation (distance from mainland) for birds but not ferns?
Dispersal barriers more signaificant for birds
ferms propogated by wind blown
birds are energy limited (ex. blown off couse duirng storm and migration)
island near continental source may have (higher/lower) immigration rates
higher
Theory of island biogeography
assumption: species richness
immigration
highest when no species present
extinction
highest when no species is present
Equilibrium theory of island biogeography
lowest extinction when no species present
highest when we have all species present
graph <>
Immigration rate
no. of species arriving to island over time highest when island is unoccupied
extinction rate
no. of species that go extinct on island over time highest where species # is at max
smaller islands have (high/low extinction)
high
lose species, how to get back to equilibrium
increase immigration
inc in immigration relates with… (how to get back to equilibrium, think graph)
inc in extinction
small/large island impacts…
extinction rates
small island = higher extinction
near/far island impacts…
immigration rates
draw that graph
DRAAW IT NOW
<> graph
NOT GIVEN ON EXAM
Island b is… <insert image>
answer B
Which island has higher rate of turnover?
<insert image>
D!
Which axis do you look at to determine turnover rate
y
Theory of island biogeography: (Near or far) island has high species number?
near island!
Why aren’t lions and tigers and bears found everywhere?
continents move over long periods of time due to TECTONIC activity!
Wallace Line
What formed the biogeography
Divergent evolution on isolated landmasses…
leads to regional differences in species composition
Species diversity tends to be (higher/lower) near poles, and (higher/lower) near equators
highest diversity near equator, and lower diversity near poles
Latitudinal gradients
the biogeographic pattern of more species near equator/tropics
Not all species follow this trend (ex. penguins)
Why are there more species in tropics/ equator area?
more sunlight, stable temp @ equator, large land mass near equator, no glaciers here during ice ages
Evolutionary rates hypothesis
Tropics have more species than temprate zones, bc evolution occurs @ a faster rate.
Bc warmer temp (meaning organisms have shorter generation time) , also resources play a role!.
<insert graph here>
history hypothesis
There was an event in time where the temperate zones couldn’t hold species at all (the ice age was the event)
Tropics have been able to accumulate species @ all times
<insert graph here>
Ecological Limits hypothesis
Resources are a limiting factor, tropics have more resources and can have more species than temperate zones
<insert graph here>