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Population dynamics
Changes in population size and structure over time
Demography
Study of population dynamics
Growth Rate
number of new individuals produced in a given amount of time-number of individuals that die
Exponential growth model equation
Nt=N0e^RT
intrinsic growth rate®
highest possible per capita growth rate for a population
geometric growth model
models population growth that compares population sizes at regular time intervals(not continuous change)
density independent
factors that limit population size regardless of the population’s density
density dependent factors
factors that affect population size in relation to the population’s density
negative density dependence
when the rate of population growth decreases as populations density increases
positive density dependence aka inverse density dependence/allee effect
when the rate of population growth increases as population density increases
self-thinning curve(also known as the -3/2 rule)
a graphical relationship that shows how decreases in population density over time lead to increases in the mass of each individual in the population
carrying capacity
the maximum population size that can be supported by the environment
inflection point
the point of fastest growth after which growth begins to slow
Age structure
in a population, the proportion of individuals that occurs in different age classes
life tables
tables that contain age class-specific survival and fecundity data
Generation time(T)
the average time between the birth of an individuals and the birth of its offspring
Net reproductive rate
the total # of female offspring that we expect an average female to produce over the course of her life
Two types of life tables
cohort life table
static life table
Cohort life table
a life table that follows a group of individuals born at the same time from birth to death of the last individual
static life table
a life table that quantifies that survival and fecundity of all individuals in a population over a single time interval. Often uses proxy data
population overshoot
when a population grows beyond it carrying capacity
population die-off
a decline in density that typically goes well below the carrying capacity
population cycles
regular oscillation of population size over a long period of time
delayed density dependence
when density dependence is based on a population density at some time in the past rather than current densities
damped oscillation
a pattern of population growth in which the population size initially oscillates but the magnitude of the oscillations declines over time
stable limits cycles
a pattern of population growth in which the population size continues to exhibit large oscillation over time
habitat fragmentation
the process of breaking up larger habitats into a # of smaller habitats
deterministic model
a model that is designed to produce a result without accounting for random variation in population growth rate
stochastic model
probabilistic model that incorportates random variation in population growth rate
demographic stochasticity
variation in birth rates and death rates due to random difference among individuals
environmental stochasticity
variation in birth rates and death rates due to random changes in eenvironmental conditions
Assumption of basic model of metpopulation dynamics
pathces are equal quality, each patch has an equal subpopulation size, each subpopulation supplies the same number of dispersers
Rescue effect
The phenomenon of dispersers supplementing a declining subpopulation that is headed toward extinction
subpopulation
when a larger population is broken up into smaller groups of conspecifics that live in isolated patches
metapopulation
the collection of subpopulations that live in isolated patches are linked by dispersal
habitat fragmentation
the process of breaking up large habitates into a # of smaller habitats
basic metapopulation model
A model that describes a scenario in which there are patches of suitable habitat embedded within a matrix of unsuitable habitat
source-sink metapopulation model
builds in basic metapopulation mdoel and accounts for the fact htat not all patches of suitable habitat are of equal quality
Landscape metapopulation model
a population model that considers both difference sin the quality of the suitable patches and the quality of the aurrounding matrix
Life history traits
fecundity, parity, parent investment, onset of senescence, longevity
principle of allocation
limited amount of energy to invest in survival, maintenance, and reproduction
Fisher’s Principle
1:1 sex ratio is predicted as the evolutionary stable strategy, as rare sex has more mating opportunities—favors selection for production of rarer sex
offspring-offspring conflict
occurs when siblinds compete for parental care or limited resources
Trivers—Willard hypothesis
mothers alter sex ratio depending on condition
produce females when in poor condition; daughters will likely have some offspring even if in poor condition
produce males when in good condition; males likely to benefit more from being large and will more readily attract mates
parent-of-origin effect
an effect on the phenotype of an offspring caused by an allele inherited from a particular parent
genomic imprinting
when genes inherit from 1 or the other parent are silenced due to methylation. Expresses 1 parental copy in offspring
methylation
process by which methyl groups are added to certain nucleotides. Asosciated with altered gene expression
parental conflict
occurs when parents have an evolutionary conflict of interest over the optimal strategy for parental care
parent-offspring conflict
occurs when parents benefit from witholding parental care or resoures from some offspring and invest in other offspring. Conflict arises because the deprived offspinrg would beenfit more if they recieved the witheld care/reources
intralocus sexual conflict
a conflict between the fitness effects of alleles of a given locus on males and females
senescence
the deterioration in biolgoical functions of an organism as it ages
four theories explaining evolutuion of the onset of aging(scenescence)
high mortality, mutation—accumulation, pleiotropy, disposable soma
selection shadow
an evolutionary theory concept stating that natural selection pressure weakens as an organism ages and passes reproductive maturity
high mortality theory
high morality in the wild causes senescence-associated mortality to be rare and undermines idea that genes causing aging have evolved
mutation-accumulation
the selection shadow at older ages may permit an accumulation of late-acting deleterious mutations
pleiotropy
Genes benefiting organisms early in life will b e favored by selection even if they are detrimental at later ages
disposable-soma
selection for investment in somatic maintenance and repair is limited; all that is required is to keep the organism in sound condition for as long as it might survive to reproduce in the wild
KNOW THIS!
genes involved in repair are switched on under stress—can slow aging
Adaptive explanations for menopause
mother hypothesis: risk of reproduction at older age selects for reduced fertility
Grandmother hypothesis
loss of fertility associated with shift in investment to grandchildren
principal driver of evolution of longevity=
level of mortality
introduced species(aka exotic species/non-native species)
a species that is introduced to a region of the world where it has not historically existed
invasive species
an introduced species that spreads rapidly and has negative effects on other species, human recreation, or human economies
Lotka-Volterra Predator-Prey Model
a model of predators-prey interactions that incorporates oscillations in the abudnacnes of preadators and prety populations and show predators #s lagging those of their prey
equilibruim isocline(or zero growth isocline)
the population size of one species that causes tat population of another species to be stable
Joint equilibruim point
the point at which the equilibrium isoclines for predators and prety populations cross
Joint population trajectory
the simultaneous trajectory of predator and prety population
Simplifying assumption of the Lotka-Volterra predator-prey model
No variatiion amongst individuals
closed system(no immigraiton or emigration)
no time lags
no refuges for prety
no density dependence in prey
no prey switching in predators
no satiation of consumption by predators
Biological control
introductions of 1 species to help control the abundance of another species
mesopredators
relatively small carnivores that consume herbivores
top predators
predators that typically consume both herbivores and mesopredators
Functional response
the relationship between the density of prey and an individual predator’s rate of food consumption
type I functional response
a functional response in which a predator’s rate of prey consumption increases in a linear fashion with an increase in prey density until satiation occurs
Type II functional reponse
a functional response in which a predator’s rate of prey consumption begins to slow down as prey densiity increases then pleataus when satiation occur
Type III function response
a functional response in which a predator exhibits low prey consumption under low prey densities, rapid consumption under moderate prey densities and slowing prey consumption under high prey densities
search image
a learned mental image that helps the predator located and capture food
3 biological mechanism for Type III response
1) limited # of prey refuges
2)development of search image by predators
3) prey switching by predators abrupt transition in predatory preferences for prey driven by proportional abundance relative to alternative prey species
Numerical response
a change in the number of the predators through population growth or population movement due to immigration or emigration(occur when the # of predators in a populatikon changes as a result of an increase or decrease in the prey population)—describes how the predator population changes(reproduction/migration) based on prey density
Crypsis-Camouflage
that either allows an individual to match its environment or breaks up the outline of an individual to blends in better with the background environment.
warning coloration(aka aposematism)
a strategy in which distastefulness of weaponry evolves in association with very conspicuous colors/patterns
batesian mimicry
when palatable species evolve warning coloration that resembles unpalatable or otherwise protected species
mullerian mimicry
when several unpalatable or otherwise protected species evolve a similar pattern of warning coloration
coevolution
when 2 or more species affect each other’s evolution
intraspecific competition
competition among indviduals of the same species
interspecific competition
competition among individuals of different species
resource
anything an organism consume or uses that causes an increase in the growth rate of population when its availability is increased
renewable resources
resources that are constantly regenerated
nonrenewable resources
resources that are not regenerated
liebig’s law of the minimum
law stating that a population increases until the supply of the most limiting resource prevents it from increasing further(overly simplistic—works for abiotic resources, NOT biotic factors)
competitive exclusion principle
2 species cannot cocexist indefinitely when they are both limited by the same resource
species can coexist when:
there are multiple reources and each species is limited by a different resource
Types of competition
explotative competition, intereference competition, allelopathy, apparent competition
exploitative competition
competition in which individuals consume and dirve down the abudnacne of a resource to the piont that other individuals cannot persist
interference competition
when competitiors do not immediately consume resources but defend them
allelopathy
a type of interference that occurs when organisms use chemicals to harm their competitors
apparent competition
appears to be competition, but it’s not! occurs when 2 species have a negative effect on each other through a shared enemy
Species can coexist when:
intraspecific competition is stronger than interspecific competition
Assumptions of the L-V Competition model
closed system(no migration)
is ir a constant
K ins a constant
A and B are constants
All individuals within species are equivalent
no time lags
chi square test
a stastical test that determines whether the # of observed events in different categories differs from an expected # of events, which is based on a particular hypothesis
degrees of freedom
(# of observed categories-1)