11-27 Lecture Notes

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    opu a ongrow

    o ay sques ons:

    II. Whatarethebasicmodelsusedtodescribe

    o ulation

    rowth?

    III. Casestudiesinpopulationgrowth

    B.Populationcycles

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    I. Whatis

    population

    ecology?

    Membersofthesamepopulationliveinthesamearea

    att esametime

    Areexposed

    to

    asimilar

    environment/selection

    pressures

    Interactviaintras ecificcom etition

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    II.Whatarethebasicmodelsusedtodescribepopulationgrowth?

    240

    Dataon

    Whooping

    Cranes

    (WoodBuffaloNatlParkAransasNWR)280

    2010

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    How fast is the whoo in crane o ulation rowin ?

    Totalpopulation=22inearly1940s;now599(11/12)

    3wild

    populations:

    2011

    2012

    WoodBuffalo 278 300

    Floridaresident 20 19

    WisconsinFlorida

    115

    110

    Growthrate,over1year

    WoodBuffalo

    Floridaresident

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    Generalizingtheseideas:

    LetN0 =populationsizeatstart

    1

    ThenN N =

    isthe

    finite

    rate

    of

    increase

    IntheWoodBuffaloflock,201112, =

    Whatis

    if

    N1 =250?

    Whatis ifN1 =310?

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    Rearranging:

    N =

    N

    Ingeneral,Nt =N0t

    isan

    aggregate

    growth

    rate,

    computed

    over

    discrete

    intervals

    (perindividual)basis,computedatanytime?

    User to

    symbolize

    the

    per

    capita

    growth

    rate

    r =

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    r

    ratesandinstantaneousrates)

    WoodBuffalo

    =

    r =

    = =

    Wisconsin

    Florida = r

    =

    Notethatingeneral,Nt =N0 ert

    describesdiscrete

    rowth r describes

    continuousgrowth

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    Nt =N0 ert

    .

    If22individualswerealivein1942and599in2012,what

    isr?

    Exponentialversusdensitydependentgrowth

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    III. Case studies in o ulation rowth

    A.Densitydependentgrowth

    What's wrong with the graph?

    - It doesn't follow the curve.

    - There's an overshoot.

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    B.Populationcycles

    e.g.RedgrouseinEngland;4yearcyclesinabundance

    Hypothesis:The

    population

    crashes

    every

    four

    years

    because there is ra id transmission of a arasitic

    nematodewormathighpopulationdensity.

    Experiment:Incrashyears,catchbirdsattheroost(at

    night)andadministeranantiwormmedication.

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    Interpretthesegraphs