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21 Cards in this Set
- Front
- Back
witout any limit a population should grow ____
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exponentially
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r= instantaneous rate of growth=individuals produced per individual per small unit of time (what's the eqt)
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** r = ln λ
**any positive values for r when λ=1, r = 0 λ>1, r>0 λ<1, r < 0 means its growing exponentially **still a per capital rate (but at a tiny time step) |
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the change (Δ) in per capita population (N) over a tiny change in time (Δt) = ΔN/Δt = instantaneous rate of pop. change (growth)
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dN/dt = rN
**equation for prediting population growth |
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Environmental carrying capacity (k)
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the point at which the population stops growing **capacity of the environment to "carry" a population **as a population grows, more factors will be limiting. these limitations curtail population growth.
**the size of the population when r=0 (λ =1) is the environmental K |
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Growth w/o limit is ____. and growth with environmental limit is _____.
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exponential growth. environmental growth
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Desnsity dependence:
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population growth RATE decreases with increasing density
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what are the two braod categories of mortality?
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**Intrinsic (internal) **Extrinsic (external)
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Intrinsic
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Genetic factors, organ failure, senescence (dying of old age), inherited disease
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Extrinsic
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predation, starvation, weather, disease
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two ways to define logevity (life-span)
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1) Physiological longevity 2) Ecological longevity
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physiological longevity
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longevity under ideal conditions (death is by intrinsic factors) **how long a species can live to (a limit to its life span)
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Ecological longevity
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More typical longevity, included extrinsic and intrinsic factors **how long can animal live in the wild? factors contribute to their death
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In the survivorship curves what is Type I, 2, and 3 species
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Type 1--- long live species; generally larger **Type 2-- mid-lived species (midium size) **Type 3 are short lived species (small animals)
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[r vs. K selected species] what is r-selected species?
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r-selected species ('boom and bust') **have high r_max **is type III survivorship **low parental care (usaully small animals)
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K-selected species
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**have low r_max **type I surviorship **high parental care
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[density-dependent vs. density-independent mortality] What does it means by density-dependent mortality?
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means that mortality (death) rate is a function of population density (higher density= higher mortality rate)
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D-dependent [what] causes mortality
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predation, disease, starvation
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Density-independent mortality
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mortality is independent of population density (random/stochastic)
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cause of D-independent morality
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Catastrophes, pollution, weather
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how do we incorporate carrying capacity (K) in estimation how a population will grow? [equation of desity-dependent growth factor]
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[Carrying capacity (K) population size (N)] / carrying capacity (K)
basically: [K-N] / K = unsused portion of the carrying capcity |
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dN/dt= rN= exponential population growth **nice but not realistic.
what is a more realistic, logistic growth equation (model)? |
is simply the addition of a density-dependent growth factor to our exponential growth equation.
dN/dt=rN mutiply by (K-N)/K *alternate form: rN*(1- N/K) **this is use to identify new individuals (growth) |