topic 3 - density independent pop growth Flashcards
what is a model
• A simplified description, especially a mathematical one, of a system or process
Population growth model: a simplified mathematical description of population growth
why do we use models?
○ Simplifies a complex process
Allows us to make projections regarding a process that cannot be observed directly
consequences of assumpin closed pop
• Simple population growth models assume populations are closed
○ Emigration and immigration are difficult to model
In many populations, growth is governed primarily by birth and death rates
BD model?
Nt+1 = Nt +B-D
two principles of DI pop growth
Without density dependent feedback, populations grow exponentially or geometrically (density independent)
- • Rate of growth/slope continuously increases
Natural populations will eventually show self-limitation (density dependence)
when do pops grow exponentially or geometrically
ccurs when resources are not limiting (space, food, etc)
○ Characteristic of populations at low densities in favorable environments
○ Commonly occurs when an organism invades a new habitat
○
why do natural pops show self limitation
- Natural populations will eventually show self-limitation (density dependence)
○ Populations cannot increase indefinitely
○ Resources eventually become limiting influencing b and d
Population growth rates eventually decline
types of density independent growth?
discrete model - geometric
cont. mmodel - exponential growth
models of d-d growth
discrete and cont. logistic growth
what is discrete time?
*
* Discrete - defined times, usually linked to the organisms e.g. reproduction times
look at D-I vs D-D graphs
ok