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13 results for “ecology”

Formulae (13)

N_t = N_0 e^{rt}

Unlimited growth of a population over time.

\frac{dN}{dt} = rN\left(1 - \frac{N}{K}\right)

Population growth limited by carrying capacity.

r = b - d

Net growth rate from birth and death rates.

H = -\sum p_i \ln p_i

Measures species diversity in a community.

D = 1 - \sum p_i^2

Probability two random individuals differ in species.

N = \frac{M \times C}{R}

Population size from mark-and-recapture sampling.

NPP = GPP - R

Energy stored by producers after respiration.

E = \frac{\text{energy at level } n+1}{\text{energy at level } n} \times 100

Energy transfer between trophic levels (~10%).

BOD = \frac{D_1 - D_2}{P}

Oxygen consumed by microbes decomposing organic matter.

NPP = GPP - R

Energy available to an ecosystem after respiration.

r = \frac{B - D}{N}

Per-capita growth from births and deaths.

N = N_0 e^{rt}

Growth of a population at a constant rate.

\frac{dN}{dt} = rN\left(1 - \frac{N}{K}\right)

Population growth that slows as it nears carrying capacity.