Hardy Weinberg Equiibrium with more than 2 alleles
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Transcript Hardy Weinberg Equiibrium with more than 2 alleles
Chapter 12. Kin Selection and
Social Behavior
Interactions
between individuals can have
4 possible outcomes in terms of fitness
gains for the participants.
Kin Selection and Social
Behavior
Cooperation
(mutualism): fitness gains
for both participants.
Altruism: instigator pays fitness cost,
recipient benefits.
Selfishness: instigator gains benefit, other
individual pays cost.
Spite: both individuals suffer a fitness
cost.
Kin Selection and Social
Behavior
No
clear cut cases of spite documented.
Selfish
and cooperative behaviors easily
explained by selection theory because
they benefit the instigator.
The puzzle of altruism
Altruism
is the difficult one to explain
because the instigator pays a cost and
another individual benefits.
Hard
to see how selection could favor an
allele that produces behavior benefiting
another individual at the expense of the
individuals bearing the allele.
The puzzle of altruism
For
Darwin altruism presented a “special
difficulty, which at first appears to me
insuperable, and actually fatal to my whole
theory.”
Darwin
suggested however that if a
behavior benefited relatives, it might be
favored by selection.
The puzzle of altruism
W.D.
Hamilton (1964) developed a model
that showed an allele that favored altruistic
behavior could spread under certain
conditions.
Coefficient of relatedness
Key
parameter is the coefficient of
relatedness: r.
r
is the probability that the homologous
alleles in two individuals are identical by
descent.
Calculating r
Need
a pedigree to calculate r that
includes both the actor and recipient and
that shows all possible direct routes of
connection between the two.
Because parents contribute half their
genes to each offspring, the probability
that genes are identical by descent for
each step is 50% or 0.5.
Calculating r
To
calculate r one should trace each path
between the two individuals and count the
number of steps needed. Then for this
path r = 0.5 (number of steps)
Thus, if two steps, r for this path = 0.5 (2) =
0.25.
To calculate final value of r one adds
together the r values calculated from each
path.
Hamilton’s rule
Given
r the coefficient of relatedness
between the actor and the recipient,
Hamilton’s rule states that an allele for
altruistic behavior will spread if
Br - C >0
Where B is benefit to recipient and C is the
cost to the actor. Unit of measurement for
B and C is surviving offspring.
Hamilton’s rule
Altruistic
behaviors are most likely to
spread when costs are low, benefits to
recipient are high, and the participants are
closely related.
Inclusive fitness
Hamilton
invented the idea of inclusive
fitness. Fitness can be divided into two
components:
Direct fitness results from personal
reproduction
Indirect fitness results from additional
reproduction by relatives, that is made
possible by an individual’s actions.
Kin selection
Natural
selection favoring the spread of
alleles that increase the indirect
component of fitness is called kin
selection.
Alarm calling in Belding’s
Ground Squirrels
Giving
alarm calls alerts other individuals
but may attract a predator’s attention.
Belding’s
Ground Squirrels give two
different calls depending on whether
predator is a predatory mammal (trill) or a
hawk (whistle; Sherman 1985).
Is alarm calling altruistic?
Sherman
and colleagues observed 256
natural predator attacks.
In
hawk attacks, whistling squirrel is killed
2% of the time whereas non-whistling
squirrels are killed 28% of the time.
Calling squirrel appears to reduce its
chance of being killed.
Belding’s Ground Squirrels
In
predatory mammal attacks trilling
squirrel is killed 8% of the time and a nontrilling squirrel is killed 4% of the time.
Calling
squirrel thus appears to increase
its risk of predation.
Whistling appears to be selfish, but trilling
altruistic.
Belding’s Ground Squirrels
Belding’s
Ground Squirrels breed in
colonies in Alpine meadows.
Males
disperse, but female offspring tend
to remain and breed close by. Thus,
females in colony tend to be related.
Belding’s Ground Squirrels
Sherman
had marked animals and had
pedigrees that showed relatedness among
study animals.
Analysis
of who called showed that
females were much more likely to call than
males.
Belding’s Ground Squirrels
In
addition, females were more likely to
call when they had relatives within
earshot.
Belding’s Ground Squirrels
Relatives
also cooperated in behaviors
besides alarm calling.
Females
were much more likely to join
close relatives in chasing away
trespassing ground squirrels than less
closely related kin and non-kin.
Belding’s Ground Squirrels
Overall,
data show that altruistic behavior
is not randomly directed. It is focused on
close relatives and should result in indirect
fitness gains.
Helping behavior in birds:
White-fronted Bee-eaters
In
a large number of birds young that are
old enough to breed on their own instead
help their parents rear siblings.
Helpers
assist in nest building, nest
defense and food delivery.
Helping behavior in birds:
White-fronted Bee-eaters
Helping
usually occurs in species where
breeding opportunities are limited:
territories or nest sites are hard to acquire.
Young
make the best of a bad job by
remaining home to assist their parents.
Helping behavior in birds:
White-fronted Bee-eaters
Steve
Emlen et al. studied white-fronted
bee-eaters intensively in Kenya.
Nest
in colonies of 40-450 individuals.
Groups of relatives (clans) defend feeding
territories in vicinity of colony.
White-fronted bee-eater
http://www.biodiversityexplorer.org/birds/meropidae/images/
74289844.GPNDJf4m_327w.jpg
Helping behavior in birds:
White-fronted Bee-eaters
First
year birds that opt to help can choose
among many relatives when deciding
whom to help.
Bee-eaters
conform to predictions of
Hamilton’s rule.
Coefficient
of relatedness determines
whether a bee-eater helps or not.
Also,
bee-eaters choose to help their
closest relatives.
Non-breeders
in clan that are not relatives
(birds that have paired with members of
the clan) are not related to offspring being
reared, and are much less likely to help
than relatives.
Assistance
of helpers is of enormous
benefit to parents. More than 50% of beeeater young starve before leaving the nest.
On
average, presence of each helper
increases number of offspring successfully
reared to fledging by 0.47. Thus, there is
a clear inclusive fitness benefit.
Kin selection and cannibalism in
tadpoles
Spadefoot
toad tadpoles come in two
morphs.
Typical morph is omnivorous mainly eats
decaying plant material.
Cannibalistic morph has bigger jaws and
catches prey including other spadefoot
tadpoles.
Adult spadefoot toad
http://www.herpnet.net/
Iowa-Herpetology/images/stories/
amphibians/frogs_toads/
Scaphiopus_Spadefoot_toad/
Scaphiopus_Plains_Spadefoot
_Toad.jpg
Cannibalistic morph of spadefoot toad
http://research.calacademy.org/calwild/2002winter/images/Toadmorph.jpg
Kin selection and cannibalism in
tadpoles
Pfennig
(1999) tested whether cannibals
discriminate between kin and non-kin.
Placed
28 cannibalistic tadpoles in
individual containers. Added two
omnivorous tadpoles (that cannibalistic
tadpole had never seen before) to each
container. One was a sibling, the other
non-kin.
Kin selection and cannibalism in
tadpoles
Pfenning
waited until cannibal ate one
tadpole, then determined which had been
eaten.
Found
that kin were significantly less likely
to be eaten. Only 6 of 28 kin were eaten,
but 22 of 28 non-kin.
Kin selection and cannibalism in
tadpoles
Pfennig
also studied tiger salamanders
whose tadpoles also develop into
cannibalistic morphs.
Kept
18 cannibals in separate enclosures
in natural pond. To each enclosure added
6 siblings and 18 non-kin typical morph
tadpoles.
Kin selection and cannibalism in
tadpoles
Some
cannibals discriminated between kin
and non-kin. Others did not.
Degree
of relatedness to siblings = 1/2
Kin selection and cannibalism in
tadpoles
Thus,
by Hamilton’s rule discrimination in
favor of kin favored if B(r) - C > 0
Benefit
estimated by counting number of
siblings that survived. Siblings of
discriminating cannibals twice as likely to
survive as siblings of non-discriminating
cannibals.
Kin selection and cannibalism in
tadpoles
Benefit
Cost
thus approximately 2.
assessed by evaluating effect of not
eating siblings by comparing growth of
discriminating and non-discriminating
cannibals. No difference in growth rates.
Cost then estimated as close to 0.
Kin selection and cannibalism in
tadpoles
By
Hamilton’s rule discrimination should
be favored because 2(1/2) - 0 = 1 which is
>0.
Altruistic sperm in wood mice
Moore
et al. have demonstrated altruistic
behavior by sperm of European wood
mice.
Females
highly promiscuous. Males have
large testes and engage in intense sperm
competition with other males.
Altruistic sperm in wood mice
Wood
mice sperm have hooks on their
heads. Sperm connect together to form
long trains that can include thousands of
sperm.
Swimming
together sperm travel twice as
fast as if each swam alone.
Wood mice sperm hooking together
http://www.abc.net.au/science/news/
img/spermmouse_moore.jpg
http://cmbi.bjmu.edu.cn/news/
0207/Speedy%20Sperm%20Trains.files/200271141.jpg
Altruistic sperm in wood mice
To
To
fertilize egg, train must break up.
break up train many sperm have to
undergo acrosome reaction releasing
enzymes that usually help fertilize an egg.
Altruistic sperm in wood mice
Releasing
these enzymes before reaching
an egg means these sperm cannot fertilize
the egg. These sperm sacrifice
themselves.
Because
other sperm carry half of the
same alleles, sacrifice makes sense in
terms of kin selection.
Discrimination against non-kin
eggs by coots
Important
to avoid paying costs on behalf
of non-kin.
Lyon
(2003) studied defense against nest
parasitism in American coots.
Coots
often lay eggs in other coot’s nests
in hopes of having them reared.
American coot at nest
http://ibc.lynxeds.com/files/
pictures/sop%C3%B3%20032.jpg
Discrimination against non-kin
eggs by coots
Accepting
parasitic eggs is costly
because half of all chicks starve and
same number of chicks are reared in
parasitized and non-parasitized nests.
Thus,
host parent loses one offspring
for every successful parasite.
Discrimination against non-kin
eggs by coots
Because
of high cost of being parasitized
and lack of benefit (assuming parasites
are non-kin) Hamilton’s rule predicts coots
should discriminate against parasitic eggs.
Coot
eggs very variable in appearance. If
2 eggs laid within 24 hours Lyon knew one
was a parasite.
Discrimination against non-kin
eggs by coots
Among
133 hosts 43% rejected one or
more parasitic eggs. Rejected eggs
differed from hosts eggs significantly more
than did accepted eggs.
Discrimination against non-kin
eggs by coots
Females
who accepted eggs laid one
fewer egg of their own for each parasitic
egg they accepted. Average total clutch
(including parasites) 8 eggs,
Discrimination against non-kin
eggs by coots
Females
who rejected eggs laid an
average of 8 of their own eggs even
though they waited to finish laying before
disposing off eggs they were rejecting.
Coots can count!
By
counting eggs and rejecting extras that
do not look right, coots prevent
themselves from being parasitized.
The greenbeard effect
Sometimes
altruistic alleles help different
alleles inadvertently when they help kin.
However, behavior is still favored because
it assists identical alleles half of the time.
The greenbeard effect
If
alleles could recognize which individuals
carried other copies of them then they
could selectively act altruistically towards
those individuals.
Dawkins
effect.
(1976) called this the greenbeard
The greenbeard effect
Dawkins
imagined an allele that caused its
carriers to grow green beards, to
recognize green beards in others and act
altruistically towards them.
Hard
to imagine in wild because single
allele must cause the three different
effects listed above.
The greenbeard effect
However,
Quellar et al. (2003) have
described greenbeard effect in slime
molds.
Slime
molds live in soil. Germinate from
spores and spend most of life as
independent, single-celled amoebae.
Slime molds
When
food is scarce, individuals signal
each other chemically and aggregate
together to form a slug-like mass.
Slug travels some distance, then
transforms into a tall, thin stalk with fruiting
body on top.
Cells in fruiting body form spores which
disperse and begin cycle again.
Slime molds
Cells
in stalk (20% of the individuals)
sacrifice themselves.
Slime molds
Quellar
Allele
et al. studied wild-type allele csA
codes for protein on cell surface of
amoeba and that protein sticks to same
protein on other amoebae. Allele thus
codes for both trait and recognition
(adhesion).
Slime molds
Remaining
greenbeard trait is
discriminating altruism.
Quellar et al. mixed wild-type amoebae
and amoebae carrying a knocked-out
version of the csA allele and grew them on
agar plates.
He starved amoebae to induce slime
molds to form fruiting bodies.
Slime molds
Quellar
et al. found that wild-type cells
were disproportionately represented in the
stalk (suckers!) and knock-out type in the
fruiting body.
Wild-type
apparently ended up in stalk
because they stuck together better.
Slime molds
But
situation was reversed when slime
molds were grown on soil, their natural
environment.
More
difficult for amoebae to stream on
soil and wild-type can stick together and
pull each other along.
Slime molds
Wild-type
cells disproportionately
represented in fruiting body as well as
stalk.
Less
adhesive knockout cells tend to get
left out of aggregations altogether.
Slime molds
Thus,
in natural conditions wild-type allele
of csA makes its carriers altruistic towards
other wild-type cells.
Kin
selection thus works at level of
individual alleles, not just individual
organisms.
Evolution of Eusociality
Eusociality
Many
(true sociality).
eusocial insects (bees, ants,
termites) do not reproduce. Instead they
act as helpers at parents nests for their
entire life. This is an extreme type of
altruism.
Evolution of Eusociality
Eusociality
describes social systems with
three characteristics:
Overlap in generations between parents and
offspring.
Cooperative brood care.
Specialist castes of non-reproductive
individuals.
Haplodiploidy and eusocial
Hymenoptera
One
idea advanced to explain eusociality
is the unusual genetic system
(Haplodiploidy) of the Hymenoptera (ants,
wasps, bees, etc.).
Males
Males
are haploid and females diploid.
develop from unfertilized eggs and
females from fertilized eggs.
Haplodiploidy and eusocial
Hymenoptera
Daughters
receive all of their fathers
genes and half of their mothers genes.
Thus, daughters share ¾ of their genes.
This
suggests females would be better off
if they favored the production of
reproductive sisters rather than their own
offspring.
Haplodiploidy and eusocial
Hymenoptera
Queens
are equally related to all offspring
and so should prefer a 1:1 ratio of sons to
daughters among reproductives.
Females
workers however should prefer a
1:3 ratio of brothers to sisters among
reproductives.
Haplodiploidy and eusocial
Hymenoptera
It
has been shown in wood ants that
queens produce equal numbers of male
and female eggs, but the hatching ratio is
heavily female biased.
Workers
apparently selectively destroy
male eggs.
Haplodiploidy and eusocial
Hymenoptera
Haplodiploidy
appears to influence worker
behavior, but consensus today is that it
does not explain evolution of eusocial
behavior in Hymenoptera.
There
are several reasons why.
Haplodiploidy and eusociality
First,
haplodiploid explanation assumes all
workers have the same father. However,
honeybee queens mate with more than 17
males on average.
As
a result relatedness between worker
honeybees often below 1/3.
Haplodiploidy and eusociality
Second,
in many species, more than one
female founds a nest. In this case workers
may be completely unrelated.
Haplodiploidy and eusociality
Third,
many eusocial species are not
haploid (e.g. termites) and many
haplodiploid species are not eusocial.
Haplodiploidy and eusociality
Phylogenetic
analysis of Hymenoptera by
Hunt (1999) emphasizes that eusociality is
relatively rare even though haplodiploidy
occurs in all groups.
Eusociality
occurs in only a few families
which are scattered around the tree, which
suggests eusociality has evolved
independently multiple times.
Haplodiploidy and eusociality
Hunt
also points out that eusociality has
only evolved in groups that build complex
nests, and care for young for a long time.
Association
between nest building, long
term care and eusociality suggests main
driving force for eusociality is ecological
not genetic.
Haplodiploidy and eusociality
Nest
building and need to supply offspring
with a steady stream of food make it
impossible or very difficult for a female to
breed alone.
Also,
if predation rates are high, solitary
breeding individuals may not live long
enough to raise their young.
Facultative strategies in paper
wasps.
Paper
wasps (Polistes) are not sterile
(unlike ant and bee workers). Females
can nest with other females or establish
their own nest.
Nonacs
and Reeve (1995) found in
Polistes dominulus that females follow one
of three strategies.
Facultative strategies in paper
wasps.
Initiate
own nest
Join nest as a helper
Wait for a nest to become available
Facultative strategies in paper
wasps.
Individuals founding their own nest are very
likely to fail because adult mortality is high and
nests with multiple foundresses can keep the
nest going.
However in multifoundress nests there may be
frequent conflict. The nests that did best were
those where one female was markedly bigger
than the others, which reduced fighting.
Facultative strategies in paper
wasps.
The
“sit-and-wait” strategy also can pay off
because females often can adopt an
orphaned nest or take one over late in the
season.
Facultative strategies in paper
wasps.
Overall,
in paper wasps an individual’s
decision is affected by her relative size,
relatedness to other females, and
availability of unoccupied nests.
Naked Mole-rats
Naked
mole-rats are highly unusual
mammals.
They
are nearly hairless and ectothermic.
They are eusocial and, like termites, can
digest cellulose with the help of bacteria in
their gut.
Naked Mole Rats
Fig 51.33
Naked Mole-rats
The behavior of naked mole-rats is similar to that
of colonial insects.
There is a single reproductive female (queen)
and 1-3 reproductive males. The remaining
individuals act as workers. They dig tunnels to
find food, defend the tunnel system from other
mole-rats, and tend the young.
Naked Mole-rats
Leading
hypothesis for why naked molerats are eusocial is inbreeding.
Average
coefficient of relatedness is 0.81
and about 85% of matings are between
parents and offspring or between full
siblings.
Naked Mole-rats
Despite
high level of relatedness, conflicts
still occur because reproductive interests
of workers and reproductives are not
identical.
Naked Mole-rats
Queens
maintain control through physical
dominance.
Queen aggressively shoves workers who
do not work hard enough and shoves are
mainly directly towards less closely related
individuals.
Workers double their work rate after being
shoved.
Naked Mole-rats
In
addition to inbreeding, ecological factors
such as severely limited breeding
opportunities and group defense appear to
contribute to eusociality in naked molerats.
Parent-offspring conflict.
Parental
care is an obvious form of
altruism. In many species parents invest
huge quantities of resources in their
offspring.
Initially,
parent and offspring agree that
investment in the offspring is worthwhile
because it enhances the offspring’s
prospects of survival and reproduction.
Parent-offspring conflict.
However, a parent shares only 50% of its genes
with the offspring and is equally related to all of
its offspring, whereas offspring is 100% related
to itself, but only shares 50% of genes with its
siblings.
As a result, at some point a parent will prefer to
reserve investment for future offspring rather
than investing in the current one, while the
current offspring will disagree. This leads to a
period of conflict called weaning.
Parent-offspring conflict.
The
period of weaning conflict ends when
both offspring and parent agree that future
investment by the parent would be better
directed at future offspring. This is when
the benefit to cost ratio drops below ½.
Fig 11.18
Figure shows B/C benefit to cost ratio of investing in the current offspring.
Benefit is measured in benefit to current offspring and cost is measured
in reduction in future offspring.
Parent-offspring conflict
In
instances where parents produce only
half siblings we should expect weaning
conflict to last longer because the current
offspring is les closely related to future
offspring.
This
has been confirmed in various field
studies.
Siblicide
In
many species there is intense conflict
between siblings for food that may result in
younger weaker chicks starving to death.
In
other species regardless of food
supplies first hatched offspring routinely
kill their siblings.
Siblicide
For
example, in Black Eagles the first
hatched chick hatches several days before
its sibling. When the younger chick
hatches its older sibling attacks and kills it.
Siblicide
In
species such as Black Eagles siblicide
is obligate in that the younger offspring is
always killed. Black Eagles are only
capable of rearing one young.
The
most likely explanation for the later
hatched young is that for the parents it
serves as an “insurance offspring” in case
the first offspring fails to hatch or develop.
Siblicide
In
other species such as Cattle Egrets
there is intense conflict that establishes a
clear age-based hierarchy in the brood
that determines how food is divided
among the brood members.
In
cattle egrets, younger chicks usually
starve, but if it is a good food year they
often fledge.
Great egret siblings fighting
http://138.192.68.68/bio/faculty/ploger/GEFight.gif
Siblicide
Siblicide
is thus facultative in cattle egrets
because restraint by the older chicks in not
killing the younger siblings can be
rewarded in good years.
In
Black Eagles there is no prospect of two
young being reared, so the older chick
ensures its own survival by eliminating its
sibling.
Siblicide
Siblicide
shows that relatedness does not
necessarily lead to altruistic behavior. For
Cattle Egrets and Black Eagles
selfishness is better because the costs of
altruism are too high.
Reciprocal Altruism
Some
animals occasionally behave
altruistically towards non-relatives.
Such
behavior is adaptive if the recipient is
likely to return the favor in the future.
Reciprocal altruism
Reciprocal
altruism most likely in social
animals where individuals interact
repeatedly because they are long-lived
and form groups, and also when
individuals have good memories.
Reciprocal altruism in Vampire bats
E.g.
Vampire Bats. Feed on blood and
share communal roosts.
Bats
may starve if they fail to feed several
nights in a row.
However,
bats who have fed successfully
often regurgitate blood meals for
unsuccessful bats.
Reciprocal altruism in Vampire bats
Cost
of sharing some blood is relatively
low for donor bat but very valuable for
recipient.
Research
shows that Vampire bats share
with relatives, but also share with
individuals who have shared with them
previously and with whom they usually
share a roost.
Association is measure
of how frequently two
individuals associate
socially. Regurgitators
regurgitate to
individuals they
associate with regularly.