Population Growth and Regulation Flashcards

1
Q

Population

A

Group of individuals of the same species

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2
Q

Population Growth Rate

A

The number of new individuals produced per unit of time minus the number that die

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3
Q

Population ecology is…

A

Conservation of threatened species. Control of over abundant pest and invasive species. Responsible management of invasive population

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4
Q

Log b^y=d same thing as

A

b^d=y

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4
Q

Log functions reverse

A

exponential functions

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4
Q

E (Eulers Number)

A

2.718. Exponential function with e. Mathematically convenient in population dynamics

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5
Q

The natural log

A

e and In

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5
Q

(Loge)^y can also be said as

A

(In(^y

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6
Q

Nile Perch Population Growth

A

Population grew exponentially and contributed to extinction or near extinction of more than 200 species.

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7
Q

Exponential Growth Model

A

Nt=Noe^rt

-Population growth under “ideal” conditions. -Relative growth rate is constant.
-r is a constant rate specific to the population
-the observed rate changes
-highest observed growth rate

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8
Q

The actual observed rate of a populations growth at any specific point in time

A

DN/dt=rN

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9
Q

Intrinsic Growth Rate (R)

A

Highest possible per capita growth rate for a population. “Instantaneous growth rate”

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10
Q

R=Births(b)-Deaths(d)=Immigration(I)-Emmigration(E) or in shorter terms…

A

R=b-d

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11
Q

if b>d then…

A

positive growting population

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12
Q

Geometric Growth Model

A

Nt=N0lambda^t
-like the exponential growth model but discrete
-compares population size at regular time intervals

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13
Q

Lambda

A

Discrete population growth rate

14
Q

Lambda=

15
Q

Geometric growth model accounts for

A

Seasonal births, and breeding periods common in nature

16
Q

t2 =

A

The time required for a population to double in size

17
Q

For continuous growth (exponential), t2 is

17
Q

For discrete growth (geometric) t2 is

A

loge2/logelambda

18
Q

Exponential and geometric models are

A

density independent (assumes constant birth and death rates)

19
Q

Indefinite growth is not possible because of

A

resource limitation, epidemics and other natural enemies, environmental change and natural disasters

20
Q

Limits to population growth

A

Density independent factors and density dependent factors

21
Density independent factors
Not related to populations density. Often abiotic (floods temperature)
22
Density dependent factors
Related to density. Often biotic (disease, competition for food and space)
23
Negative Density Dependance
High population density leads to negative population growth from competition (intraspecific) and disease. Birth rates increase death rates decrease
24
Positive Density Dependance
Low population density. Low even negative population growth. Inability to find mates or forage successfully
25
Population Regulation
Often involves positive and negative density dependence. Increased densities with abundant resources. Above some density resources become limiting
26
Negative Density Dependence depends on a
carrying capacity (K)
27
Carrying Capacity (K)
the maximum population supported by the environment
28
Above K means
low reproduction and survival cause negative population. Often treated as a constant but can vary with environmental conditions. Often treated as constant but can vary in environmental conditions.
29
Logistic model of population growth
Describes slowing growth of population at high densities. Represented by rate of growth with carrying capacity factors added to it. dN/dt=rN(1-N/K) (r is still intrinsic rate of increase)
30
Inflection Point
Maximum observed growth rate (dN/dt) when N=k/2
31
Populations can overshoot K sometimes resulting in
extinction
32
Density Independent Limitation
Birth and death rates unaffected by population size. Does not mean infinite growth. (not be sustainable). Many factors can prevent populations from ever reaching K (disturbance, climate, fire, specialist predation)