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Natural Selection

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Charles Darwin (1809-1882) saw three problems in need of a solution. ... Survival of the Fittest (which Chucky D NEVER said) means those who have the ... – PowerPoint PPT presentation

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Title: Natural Selection


1
Natural Selection
  • Or, how did we get here.

2
(No Transcript)
3
Natural Selection
  • The Theory of Natural Selection is so simple that
    anyone can misunderstand it. (Anonymous)
  • Charles Darwin (1809-1882) saw three problems in
    need of a solution.
  • Darwin was not the only one to see these problems
    BTW
  • Other Naturalists were struggling with the same
    issues

4
Problem the First
  • There is change over time in the flora and fauna
    of the Earth
  • What we would commonly call evolution today
  • The fossil record showed this to be pretty clear,
    even to people in the mid 1800s
  • This was not controversial in Darwins time, and
    is not now.

5
The Second Problem
  • There is a taxonomic relationship among living
    things
  • People were big into classifying stuff
  • It was pretty obvious that there was a
    relationship between different species
  • Different birds, different grasses, different
    cats etc

6
The Third Problem
  • Adaptation
  • Different kinds of teeth for different animals,
    say carnivore ripping teeth and herbivore
    grinding teeth
  • Different tissues within species
  • Heart vs. eye etc.

7
The Solution!
  • Natural Selection provides a mechanistic account
    of how these things occurred and shows how they
    are intimately related.
  • It is one of those oh man is that ever easy, why
    didnt I think of that? type things.

8
Hows it work?
  • There is competition among living things
  • More are born or hatched or whatever, than
    survive and reproduce
  • Reproduction occurs with variation
  • This variation is heritable
  • Remember, there was NO genetics back then, Chuck
    knew, he just knew.
  • Realized that is wasnt blending

9
Hows it Work?
  • Selection Determines which individuals enter the
    adult breeding population
  • This selection is done by the environment
  • Those which are best suited reproduce
  • They pass these well suited characteristics on to
    their young

10
Hows it Work?
  • REPRODUCTION is the key, not merely survival
  • If you survive to be 128 but have no kids, you
    are not doing as well as I am
  • I have reproduced
  • Assuming the traits that made me successful will
    help them then I amore fit NOW than the 128 year
    old guy

11
This lecture keeps evolving..
  • Survival of the Fittest (which Chucky D NEVER
    said) means those who have the most offspring
    that reproduce
  • So, the answer to the trilogy of problems is
  • Descent with modification from a common
    ancestor, NOT random modification, but,
    modification shaped by natural selection

12
Different types of selection
  • Directional Selection
  • What most of us think about when we think about
    selection
  • An extreme value is selected for
  • Human brain size is a nice example

13
Different kinds of selection
  • Stabilizing or Normalizing selection
  • The middle is selected for
  • Many examples here
  • Symmetry
  • Two eyes

14
Different kinds of selection
  • Disruptive selection
  • Extremes are selected for
  • Might be where the two sexes come from
  • Trait was probably gamete sized
  • Two mating types

15
But
  • Darwin was troubled by the preponderance of
    behaviour that seemed to be of no benefit to the
    actor
  • Examples
  • Sterile insect castes
  • Bee stings
  • Alarm calling
  • Reproductive restraint

16
Reproductive restraint
  • Birds can produce many more eggs than they
    actually do!
  • Wynne-Edwards beleied that selection also acted
    on the species level to stop massive
    overpopulation

17
Reproductive Restraint?
  • Lack argued that animals are doing what is best
    for the INDIVIDUAL
  • Big clutch means possible exhaustion, death
  • LIFETIME fitness, not just this season

18
Lack
  • Well, if clutch size depends on the environment,
    then clutch size should vary with quality of
    resources

19
Hamilton figured it out
  • Hamiltons Response was theoretical
  • Look at behaviour from the genes point of view
  • Inclusive fitness direct fitness effect on
    fitness of others

20
Hamilton
  • C lt rb
  • Or r gt c / b
  • Remember, r is relatedness, c is cost b is
    benefit
  • Would you give your life for a brother?
  • No, but maybe 2 brothers, or 8 cousins
  • Two uncles and one mother.

21
Mechanism
  • For this to work there must be some sort of
    proximate mechanism
  • Easy for mother/father and child
  • How about everyone else?
  • Green Beard hypothesis
  • Allele produces some phenotype
  • Also allows for recognition
  • Tough for a single gene.

22
The elusive mechanism
  • Proximity
  • Families
  • Little dispersal
  • So if close by, you are related
  • Example
  • Leaf eating ants
  • Far nests ? more hostile
  • Different plants ? more hostile

23
More on mechanism
  • Those crazy ants
  • Split colony and put on different plants
  • Hostile, but non injurious!
  • Gene environment interaction baby!
  • Vervet monkeys
  • 2 year olds scream
  • Mother comes
  • Others watch the mother!

24
Mechanisms, pheremones and bees
  • Greenberg looked at bee relatedness and allowing
    bees in or not
  • Probably genetically determined odour

25
Conclusions about inclusive fitness
  • Group selection is silly
  • Individual selection is cool
  • Gene level selection is VERY cool
  • Hamilton is a genius
  • Dont over use this
  • Gives us some insight into some nasty human
    behaviour

26
Games are fun
  • Animals tend to behave in ways that maximize
    their inclusive fitness
  • Usually pretty straightforward
  • But, sometimes we must know what others are doing
    before we adopt a strategy
  • What if your mating call is drowned out by
    others calls, what to do, ahh what to do

27
Fitness and Strategies
  • In certain cases payoffs, and hence fitness
    maximization, depend on what other populations
    are doing
  • When the payoff to one individual depends on the
    behaviour of others we cannot use the principle
    of fitness maximization until we know
  • What the alternatives are
  • P(encountering alternatives)
  • Consequences of encounter

28
Game Theory
  • Think of it like a game
  • Each individuals behaviour is its strategy,
    payoffs are in units of fitness
  • Players produce more players (offspring)
  • Changes in fitness are directly proportional to
    payoffs
  • An evolutionary Stable Strategy is one that, when
    adopted by enough individuals, maximizes payoff

29
Pure Strategy
  • One that cannot be replaced
  • Food storing
  • Recover your own seeds (Anderssen and Krebs,
    1978)
  • If they recovered communally, a selfish hoarder
    would replace the communals damned quckly

30
Mixed Strategies
  • Hawks and Doves
  • Not real hawks or doves, strategies
  • Always fight, or always give up
  • Look at the payoffs
  • Look at the costs
  • Determine what proportion should be hawks and
    should be doves

31
Hawks and Doves
  • Say its all Doves
  • Hawk shows up, wins resource
  • Spreads genes
  • Now more hawks
  • Oh oh, now you are fighting, P(injury) .5
  • Now being a dove pays
  • Either strategy good when rare, bad when common

32
Doves and Hawks
  • V Value of resource for winner
  • W cost of a wound
  • T cost of display (no fighting)
  • (John Maynard Smith, 1978)

33
Whoa, I know Kung Fu
  • Set up a payoff Matrix
  • Opponent in the contest
  • Hawk Dove
  • Payoff Hawk ½(V-W) V
  • Received
  • By Dove 0 ½V-T

34
ESS as easy as 123
  • If W gt V then there can be no pure ESS
  • In a population of hawks, a small number of doves
    do better than hawks
  • E(dove,hawk) gt E(hawk, hawk)
  • E(dove, hawk) 0
  • E(hawk, hawk) ½(V-W)
  • W gt V, therefore ½(V-W) lt 0

35
Pure Doves dont do it either
  • Payoff to Hawk is V
  • Payoff to doves is less than that
  • (½W T)
  • Hmmm
  • So, what proportion of hawks and doves balances
    it out?

36
What is theoretical population biologist to do?
  • Find the proportion (p) of hawks of hawks such
    that the following equation balances
  • p ½(V-W) (1-p) V p (0) (1-p) (½V T)
  • Simply (?) solve for p
  • p (V2T) / (W 2T)

37
Apply it, sort of
  • Say V 10
  • W 20
  • T 3
  • Opponent in the contest
  • Hawk Dove
  • Payoff Hawk -5 10
  • Received
  • By Dove 0 2

38
Now, sub that back into the formula
  • P 16/26 or 8/13
  • 8/13ths of the population, with these payoff
    values, must be hawks
  • The values are not that important really, the
    point is that you can determine the point at
    which a strategy can coexist with another
    strategy as an ESS
  • Could be percentage of population, or percentage
    of time each animal adopts a given strategy

39
So?
  • It is actually applicable thats so
  • Toads looking for breeding grounds (Davies and
    Hallaway, 1979)
  • Payoffs determined

40
Another so
  • Dungflies
  • Should a male hang around poo as it gets older?

41
Conclusions
  • This is a very brief intro to game theory
  • This stuff is way powerful
  • You have to sit and think some about the payoffs
    and costs
  • Dynamic programming models are becoming more
    popular

42
Other Evolutionary Theories
  • Lamarckism
  • Inheritance of acquired characteristics
  • E.g., giraffes really wanted leaves, so they
    stretched their necks and..
  • Sounds crazy, but a lot of people think this way
  • We will all have giant heads and tiny bodies
    someday
  • Cave swelling fish dont use their eyes so they
    disappear
  • We dont use our appendix so it is disappearing

43
Silly incorrect evolutionary theories and ideas
  • Orthogenesis
  • There is some plan to evolution.
  • NO WRONG INCORRECT, THANKS FOR PLAYING
  • The idea of an evolutionary ladder fits in here
  • It is wrong too

44
Still another silly idea
  • Intelligent Design
  • Just Creationism with a fancy name
  • God does not belong in a science class, any more
    than experiments belong in church
  • NOT A SCIENTIFIC THEORY
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