Populations

Demography

Hardy-Weinberg equilibrium

Species Interaction

Communities

age distribution

Table parts

Growth

predicts an equilibrium-unchanging allele and genotype frequencies from generation to generation-if certain conditions exist in a population
# #

Assumptions/conditions of HW

Patterns of natural selection

Stabilizing selection

Genetic variation #

Mandellian Genetics

Mendel's principles extended

Incomplete dominance

Types of growth Growth models

Exponential (R species)

Logistic (K species)

j-shaped curve, unlimited resources

s-shaped curve, self regulates, has carrying capacity (K)

If species reach K they will start to die off due to limited resources

Growth Models

Formula parts

r=intrinsic growth rate, N=Population size, K=carrying capacity, dN/dt= population change over time,

Formula

Formula

dN/dt = r (N) #

dN /dt =( r )(N) (1-N/K)
#

Traits

Traits

Annuals

perennials

weedy

Disturbed areas

Little investment in defense

many small fruits

Invest in defense

Fairly stable habitat

resource-intensive fruits

Fluctuates around K

early maturity

late maturity

plant strategies

grimes model grimes model

Stress

Disturbance

Resource availability

biotic

Growth inhibitors

nutrient

light

water

toxins

temperature

abiotic

Herbivory

fire

pathogens

anthropogenic (pollution)

wind

3 life-stages

S - Stress tolerators

R - Ruderals

C - Competitors

x=age, Nx=number of individuals alive at age x, Sx=proportion of individuals of age x that that survive to age x+1, Ix=proportion of individuals that survive from birth (0) to age x, Fx= average number of offspring born to a female while she is age x, IxFx= average number of offspring per capita at age x, Ix(Fx)(x)= average number of offspring per capita at time x, weighted by age x

Ro

Ro=individual fecundity, Represents the expected number of offspring an individual will produce over its lifetime in the population.

How to calculate = (survivorship column)(fecundity) or (Lx)(Fx)

if R0=1, then population size does not change

If R0>1, the population size increases.

G

If R0<1, the population size decreases

G=mean generation time, Represents average time between two consecutive generations in the lineage of a cohort
(The average age between parent and offspring)

Calculate by taking the sum of the Age-weighted fecundity column and then dividing by the net reproductive rate

r

r=Intrinsic growth rate

Calculated by taking the natural log of the net reproductive rate divided by the mean generation time.
(Natural log of Ro)/G

If r>0, the population size increases.

If r<0, the population size decreases

if r=1, then population size does not change.

Survivorship curve Survivorship curve

Visual representation of survivorship (how long did individuals survive)

Types

Type2

Type3 #

Type1 #

Most individuals survive until old age

Individuals have a constant chance of dying throughout their lives

Most individuals die young

typical of K-selected species

typical of r-selected species

Some species can display all three, dependent on environment

Plotted logarithmically

Take survivorship (lx) and multiply by 1000, take the log 10 of this value and plot it against age to produce your figure

a group of actually or potentially interacting species living in the same location. Bound together by a shared environment and a network of influence each species has on the other.

factors affecting interactions include

biotic interactions that occur between species

Abiotic enviroment

Range of interactions (+=beneficial, -=negative)

Commensalism (0,+)

amensalism (0,-)

Facilitation(+,+)

Competition (-,-)

predation (+,-)

Benefits both; mutualism; pollination

Benefits one, neutral to other

Negative to one, neutral to other

both are negatively impacted, competition for resources

Herbivory, parasitism

Predator vs prey interaction

Predator = P

Prey = N

-impact on prey, + impacted by prey

+impact on predator, - impacted by predator

Both influence population size

Cycling

At low prey and predator population sizes, prey increase exponentially

As more food for predators is available, predator survival and reproductive success increases, resulting in predator population growth following that of their prey

As predator populations increase, prey death rate exceeds birth rate, resulting in prey decline

As prey number declines, there is not enough food to sustain a high predator population and thus predator death rate exceeds that of birth rate

Lotka-Volterra models

dN/dt = rN-aNP

dN/dt=rate of change with time of the prey population

r=intrinsic rate of increase for prey

N=number of prey individuals

a=predator’s per capita attack rate (Number of prey eaten per predator per unit time)

P= number of predator individuals

dP/dt = faNP-qP

dP/dt= rate of change with time of predator population

f=constant, indicating predator’s efficiency at converting the prey it has eaten into new predators

q=predator’s per capita mortality rate

Gene pool

All of the alleles of every gene in a population make up the gene pool

Relative Frequency

Allele

genotype

Number of copies of an allele in a population divided by the total number of alleles for that gene in a population

Number of individuals with a particular genotype in a population divided by the total number of individuals in a population (population should be half the allele amount since each person has 2)

  1. No new mutations
  1. No genetic drift. The population is so large allele frequencies do not change due to random sampling effects
  1. No migration
  1. No natural selection
  1. Random mating

provides a quantitative relationship between the allele and genotype frequencies

Frequencies in populations should add up to 1

Mean = x

HW vs Punnett

The frequency of gametes carrying a particular allele is equal to the allele frequency for a population in Hardy-Weinberg equilibrium.
Multiplying the allele frequencies gives the proportion of each allele combination in the population.

click to edit

HW equations

we always use p and q rather than choosing an upper and lowercase letter to represent alleles:

The frequency of the dominant allele is represented by p
The frequency of the recessive allele is represented by q

p+q=1

(p+q)^2=1^2

p^2+2pq+q^2=1

p^2= genotypic frequency of RR

2pq= genotypic frequency of Rr

q^2= genotypic frequency of rr

Directional selection

Disruptive selection

occurs when individuals with traits on one side of the mean in their population survive better or reproduce more than those on the other.

occurs when the population stabilizes on a particular trait value and genetic diversity decreases.

occurs when individuals of intermediate phenotype are less fit than those of both higher and lower phenotype, such that extremes are favored.

mode of negative natural selection in which an extreme phenotype is favored over other phenotypes, causing the allele frequency to shift over time in the direction of that phenotype.

population mean stabilizes on a particular non-extreme trait value; pushes population towards average trait

extreme values for a trait are favored over intermediate values. In this case, the variance of the trait increases and the population is divided into two distinct groups

stabalizing selection

disrupted selection (real)

directional

x0≠x1
var0=var1

x0=x1
var0>var1

x0=x1
var0<var1

Diploid individual

Trait

Homologous chromosomes

Resemble each other in size, shape & hereditary information

Each homolog is from a different parent

Interactions of genes on each sets of chromosomes determines the genetic characteristics

Each chromosome has a partner

Undergoes

Meiosis (produces sperm or egg from gametes)

Phases

Metaphase II

Prophase I

Metaphase I

Orientation of bivalents is random

Orientation of sister chromatids is random

In general, the possibilities are 2n


Ex: human with 46 chromosomes
2^46 = 7.04 x 1013

Synaptonemal complex forms

Mixes the genes present in homologous chromosomes

Results in new combinations not present in the chromosomes of the parental cells

Usually at least one chiasma occurs between every pair of homologous chromosomes

Sexual reproduction

results in

New combination of alleles from each parent

Promotes heterozygosity

Advantages

genetic diversity

Bet-hedging to novel environments

Multiple deleterious alleles can be bunched together and eliminated

Escape host-parasite negative impacts

3 principles

Dominance

Segregation

Independent Assortment

Each individual has a unique genotype
Genotype is made up of alleles
Phenotypes determined by these alleles (and the environment)

There is no guarantee that an allele will manifest

Types of dominance

Heterozygosity (Aa)

One of 2 genes (dominant allele) has a detectable effect on an organism's appearance
The other gene has no discernable effect (recessive allele)

Homozygosity (AA)(aa)

both alleles are the same

Alleles are segregated, separated, from one another during meiosis

Each gamete (egg or sperm) contains only one allele for each gene

Offspring inherit 2 alleles for a gene

offspring inherit One from each parent
During meiosis, 2 members of a gene pair separate from each other
Each gamete has an equal chance to inherit either one of the genes


Gene pairs that are not related (homologs) segregate independently

Gene pairs that are not linked segregate independently

Phenotype of heterozygote is intermediate between those of parent homozygotes EX: RedxWhite=Pink

multiple alleles

Many populations have more than 2 alleles for a particular locus

Breeding experiments to determine dominance
Figuring out alleles is complex

Mutations

Changes in the genetic makeup of an individual

Types

point mutation

chromosome mutation

Single nucleotide change

Deletion

Duplication

Inversion

Translocation

Transposons

segments of chromosome lost

Part of the chromosome has doubled

pieces rotate 180

Exchange of parts between 2 nonhomologous chromosomes

Movable genetic element
Jumping genes

No crossing over

Fail to mix alleles across homologs

Chromosome inherited same as parent

Only 2 gamete types possible rather than 4

polygenic inheritance (most traits are this kind)

Multiple genes for one character

Phenotype is cumulative result of combined effects of many genes

Populations tend to have normal distribution and continuous variation

Epistasis

One gene interacts with another (may interfere or mask)

Linkage

4 haploid genotypes
Not produced in equal numbers

Recombinants less abundant
Parentals more abundant

Pleiotropy

Single gene with multiple effects on the phenotype

Inheritance of a single gene which visibly influences several traits

polyploidy

Having more than two copies (2n) of a chromosome

2 types

allo

auto

Failed meiosis
Self fertilization

Meiotic error
Mismatch during mating

Second mating creates matched pairs

evolutionary significance

Polyploid mask deleterious recessive alleles

Relax selection pressure
Accumulate mutations that eventually result in beneficial trait

2 groups of ancient duplications

Common ancestor of seed plants

Common ancestor of extant angiosperms