Host population ecology and infectious disease Flashcards
Biological population
A group of individuals of one species that live and interbreed in same place at same time
Population Ecology
The study of the processes that affect the distribution and abundance of animal and plant populations
Factors that influence population size
- Births
- Deaths
- Immigration
- Emigration
Assumptions for exponential population growth models
- Change in population size depends on birth and death rates (ignores immigration and emigration)
- Assume unlimited resources
- Birth rates and death rates are constant
- Assume population growth is approximately continuous
Equation for population growth
dN/dt= (b-d)N
b-d = r
b=births
d= deaths
r= instantaneous rate of increase
N= population size
dN/dt= population growth= change in population size over a small interval of time
Units of r
Individuals per individuals per unit of time
Instantaneous rate of increase (r) fates
The value of r determines the fate of the population
r > 0 population grows exponentially (b > d)
r = 0 population remains constant in size (b = d)
r < 0 population declines to extinction (b < d)
What can you compare r in a host population to in a pathogen?
Similar to R0 of pathogens
Ring-necked pheasants on Protection Island
- Example of exponential growth
- In 1937, ring-necked pheasants introduced to Protection Island where the population is closed to immigration and emigration
- Island was essentially predator-free
- In 1937, N = 8 adult birds …. In 1943, N= 2000 adult birds
What is unrealistic about the assumption that the birth and death rates are constant?
There will be limited resources so there will be increased deaths and decreased birth rates
What influences birth and death rates?
- Depend on N (Population size/density). Deaths increase with N, and births decrease with N
- The maximum population size that can be supported by the environment and resources is K. At K, b=d and r = 0 (no change in population size)
Carrying Capacity (K)
The maximum population size of the species that the environment can sustain indefinitely, given the food, habitat, water and other necessities available in the environment
Logistic population growth
Population growth when taking into account carrying capacity (ensuring the K is not exceeded)
Logistic growth (dN/dt)= rN (1-(N/K))
What does (1-N/K) represent?
Represents the unused portion of the carrying capacity
Ex. If population uncrowded (7% of K), then equation would be dN/dt = rN (0.93)
Logistic population growth curve
- N vs. time will follow an S-shaped curve
- When N is small, population grows exponentially at rate close to r
- Population growth is at its fastest when at half of carrying capacity (K)
- Growth decreases as population nears K
- If population starts above K, then growth is negative and N will decline towards K