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Population growth The rate of growth of a population is most simplistically expressed as r (for rate) = b (birth) – d (death) The higher the r value, the faster the population is growing.
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Populations
Population Definition
• A quick review, what is the definition?
• A group of interbreeding organisms
Population growth
• The rate of growth of a population is most simplistically expressed as
r (for rate) = b (birth) – d (death)• The higher the r value, the faster the
population is growing.
How do populations increase in size?
• Work by very early biologists and mathematicians thought that populations increased by exponential growth
• Is this realistic?
How do populations increase in size?
• Since exponential growth was not realistic, the next model for population growth was that of logistic growth
• Is this realistic?
A closer look at logistic growth
Lag phase
Exponential phase
Stationary phase#
Logistic terminology
• Carrying capacity is that number of organisms the environment can support
• However, it is crucial to think about this – is the environment constant?
• No, therefore carrying capacity is not constant. Therefore the most realistic portrayal of population growth is….
Average carrying capacity
Time
#
Population Properties
• Age Structure– Age classes are:
• Young• Adolescent• Sexually mature• Post-sexually mature
• Using age class structure, you can predict how fast a population will grow…
youngest
Expansive Population Growth
Constrictive Growth
Near StationaryGrowth
Morocco
United States Sweden
oldest
K - selected
K- and r-selection• The term r-selection comes from r = b-d and
denotes a population or organism that is fast growing, with lots of offspring and not very much maternal investment in each offspring.– Example: rabbits
• The term K-selection comes from K = carrying capacity and denotes a population or organism that is slow growing, with few offspring and a lot of maternal investment in each offspring.– Example: elephants
Immigration & Emigration
• Populations also change through immigration (organisms coming into the population from outside) and emigration (organisms leaving the population [not death]).
• Find that r-selected species are good colonizers
• K-selected species are not good colonizers
Human Population Growth
• How are we similar to and different from other animals?
• Population growth is subject not only to rules of biology, but also to societal issues.
• Look at the following transparencies….