Ch. 11 Lecture Flashcards
Populations can grow _____ when conditions are favorable, but this growth cannot continue _____.
populations can grow EXPONENTIALLY when conditions are favorable, but this growth cannot continue INDEFINITELY.
Human population reached ___ in 2016, more than double the population in ___.
Human population reached 7.3 BILLION in 2016, more than double the population in 1970.
From _______ human population _____ in size, and energy consumption increased _______.
From 1860 TO 1991 human population QUADRUPLED in size, and energy consumption increased 93-FOLD.
Human population reached 1 billion for the first time in ___.
Human population reached 1 billion for the first time in 1825.
Human population adds ____ people every ____.
Human population adds 1 BILLION people every 13 YEARS.
In 1975, the population was growing at an ________ of ____. At this rate, a population will ____ in size every ___. If this growth rate were sustained, we would reach ______.
In 1975, the population was growing at an ANNUAL RATE of NEARLY 2%. At this rate, a population will DOUBLE in size every 35 YEARS. If this growth rater were sustained, we would reach 32 BILLION BY 2080.
Geometric Growth
When a population reproduces in SYNCHRONY at regular TIME INTERVALS (discrete time periods), and growth rate remains the same. The population increases by a CONSTANT PROPORTION, so the number of individuals added to the population becomes larger with each time period.
Geometric Growth: graph
J-shaped set of points, straight line when on log scale
Exponential Growth
When a population reproduces CONTINUOUSLY, and GENERATIONS can OVERLAP. These populations increase by a CONSTANT PROPORTION.
Exponential Growth: graph
J-shaped curve, straight line when on log scale
lambda=1 or r=0
population stays the same
lambda<1 or r<0
population size will decrease
lambda>1 or r>0
population grows geometrically or exponentially. ideal conditions.
Why don’t populations expand infinitely?
- run out of resources
- other species consume their resources
- disturbances happen
Resources
features of the environment that are in SHORT SUPPLY that are required for growth, survival, or reproduction, and which can be CONSUMED to the point of DEPLETION.
Physical Factors
affect population growth rates but are NOT consumed or depleted (i.e. temp, wind, pH)
Density-Independent Factors
factors that are not dependent on density.
-floods, fires, drought, irregular growth bursts, hurricanes
Density-Dependent Factors
cause birth rates, death rates, and dispersal rates to change as the density of the population changes.
density ^ = birth rates v = death rates ^ = emigration ^ = population size v
Population Regulation
occurs when density-dependent factors cause populations to increase when density is low and decrease when density is high.
-food, space, or other essential resources in short supply, then population size decreases.
Allee Effects
population growth rate decreases as population density decreases; individuals have difficulty finding mates at low population densities.
“extinction vortex”.
- american passenger pigeon
- northern right whales
- shearwaters
Logistic Growth
population increases rapidly at first, then stabilizes at the carrying capacity, because resources such as food, water, or space begin to run short.
Carrying Capacity
maximum population size that can be supported indefinitely by the environment. growth rate=0, so population size does not change.
Logistic Growth: graph
S-shaped curve in natural population
Populations show “boom and bust” dynamics: r- or k-selected species?
r-selected species
Populations exist at carrying capacity: r- or k-selected species?
k-selected species
Environments which benefit r-selected species
Highly disturbed environments
Environments which benefit k-selected species
Stable environments
Environments where r-selected species may evolve to k-selected species (poison arrow frogs)
Highly Stable environments
What will limit human populations?
(RODS-FLY)
- Resources
- Overgrazing
- Disease
- Sahel region
- Firewood and deforestation
- Loss of top soil
- Your ecological footprint
Geometric Growth: equation
Nt+1=lambdaNt
OR
Nt=lambdatN0
lambda
geometric growth rate; (per capita) finite rate of increase
Exponential Growth: equation
dN/dt=rN
dN/dt: rate of change in population
r: exponential population growth rate; (per capita) intrinsic rate of increase
relationship between lambda and r
lambda=er
r=ln(lambda)
Logistic Growth: equation
dN/dt=rN(1-(N/K))
OR
dN/dt=rN(K-N/K)
N: population density
r: per capita growth rate
K: carrying capacity