Logistic Growth.

Growth slows as a population approaches a finite capacity.

Interactive experimentintuitiveField note ·

What happens near the limit?

Growth slows as a population approaches a finite capacity.

ILLUSTRATIVE MODEL

Growth rate25%

5%60%

Carrying capacity100

50200

PLAY THE IDEAMake a choice

Move a control above. Compared with the starting setup, will population at period 50 rise, fall or stay the same?

Choose a move to see what happens.

PopulationCapacity · dashed

Growth slows as the population approaches its fixed capacity.

Capacity and growth rate are fixed; real ecosystems and markets can shift abruptly.

Preparing the experiment…

THE IDEA

Growth proportional to both current size and remaining room creates an S-shaped path.

Starting from 5, each period adds rN(1−N/K), with r=growth/100 and K=capacity, for 50 periods.

Sketch adoption or population growth when space and resources constrain expansion.

WHERE IT BREAKS

Capacity and growth rate are fixed; real ecosystems and markets can shift abruptly.