17. Population ecology: the fundamentals of population growth Flashcards
Population Size
N
Population density
N/area
Malthus published An Essay on the Principle of Population
arguing that the human population cannot grow faster than food production
Paul Ehrlich published The Population Bomb
arguing that explosive growth in the human population would have catastrophic social and environmental consequences
Population growth charts plot…
N against time, t
differential equations/ continuous-time approach
best suited for species with continuous reproduction (time steps are infinitesimally small)
difference equations/ discrete-time approach
best suited for episodic reproduction (time steps are discrete units (days, years, etc.))
N t + 1 =
N t – D + B – E + I
Population model
Nt + 1 = f ( Nt )
λ (Greek lambda)
multiplicative factor by which population changes over one time unit = “finite rate of increase”
Geometric growth model
λ = N t + 1 / N t
If λ > 1
births exceed deaths and population grows
If λ < 1
deaths exceed births and population shrinks