This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

Wolf and Deer population interaction geog 166

Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)

This is a demonstration of how logistic growth can be modeled with either one or two stocks. However, the two-stock case shows how the implementation of the carrying capacity is somehow less arbitrary than in the one-stock case.

keep on from here
http://www.suryatech.com/pages/wildlifemanagement-2.pdf

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

Eastern oyster growth model calibrated for Long Island Sound

This is a one box model for an idealized farm with one million oysters seeded (one hectare @ a stocking density of 100 oysters per square meter)

1. Run WinShell individual growth model for one year with Long Island Sound growth drivers;

2. Determine the scope for growth (in dry tissue weight per day) for oysters centered on the five weight classes)
 
3. Apply a classic population dynamics equation:

dn(s,t)/dt = -d[n(s,t)g(s,t)]/ds - u(s)n(s,t)

s: Weight (g)
t: Time
n: Number of individuals of weight s
g: Scope for growth (g day-1)
u: Mortality rate (day-1)

4. Set mortality at 30% per year, slider allows scenarios from 30% to 80% per year

5. Determine harvestable biomass, i.e. weight class 5, 40-50 g (roughly three inches length)

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

Simple model illustrating the population dynamics equation:

dn(s,t)/dt = -d[n(s,t)g(s,t)]/ds - u(s)n(s,t)

s: Weight (g)
t: Time
n: Number of individuals of weight s
g: Scope for growth (g day-1)
u: Mortality rate (day-1)

This simulation shows how plant, deer and wolf populations impact each other in a deciduous forest ecosystem.

lynx and hare geog 166