;colony/science  / Biology  / Ecosystems
Biology · No. 89 of the first 100

Ecosystems

Nobody is in charge of the meadow — and that is exactly why it works, in waves.

Plate XXVIII — The rabbit–fox waltz Lotka–Volterra · predator lags prey
Watch the waves chase each other; then make the foxes greedier.
manyfewtime →rabbits · 60foxes · 18the fox wave always lags the rabbit wave — dinner comes first
FIG. XXVIII — THE RABBIT–FOX WALTZ
Hunting pressure balanced
Greedier hunting doesn't mean more foxes for long. Watch.
Rabbits
60
Foxes
18
Round and round it goes: lots of rabbits → foxes feast and multiply → too many foxes eat too many rabbits → foxes starve → rabbits bounce back. Neither side ever wins; they chase each other in waves, with the fox wave always one step behind.
The short answer

Rabbits and foxes are locked in a loop: lots of rabbits feeds more foxes, more foxes means fewer rabbits, fewer rabbits starves the foxes, and fewer foxes lets the rabbits boom again. Round and round, in waves that chase each other forever.

What's actually happening

An ecosystem has no manager, no plan, and no thermostat — yet it holds itself together for centuries. The secret is feedback. Every species' boom plants the seed of its own bust: more rabbits means more fox food means more foxes means fewer rabbits. Each arrow in that loop is just individuals eating and breeding, but the loop as a whole behaves like a regulator nobody built.

In the 1920s, Alfred Lotka and Vito Volterra wrote the loop down as a pair of equations (Volterra was explaining why WWI's fishing pause had boosted Adriatic sharks more than sardines). The equations' surprise: the populations never settle at a balanced number. They orbit it — prey waves and predator waves chasing each other, predators always cresting about a quarter-cycle late, because foxes can only multiply after the rabbit boom has fed them. The Hudson's Bay Company's fur ledgers, kept for ninety years, show Canadian lynx and snowshoe hare numbers doing exactly this dance on a roughly ten-year beat.

The sobering lesson is how the loop breaks. Remove the predator — as the US did to wolves in Yellowstone by 1926 — and the prey doesn't flourish; it explodes, strips the vegetation, and crashes. Elk denuded Yellowstone's valleys for seventy years until wolves were returned in 1995, whereupon willows, beavers, and songbirds rebounded in a cascade. Stability wasn't the absence of the killer. The killer was a load-bearing part.

Try it at home Play the loop on paper
  1. 1Start with 10 "rabbit" tokens and 2 "fox" tokens. Each round: every pair of rabbits adds one rabbit; every fox adjacent to rabbits converts one rabbit into half a fox; any fox that didn't eat is removed.
  2. 2Track both counts for fifteen rounds on a quick graph.
  3. 3You'll see the waves emerge by hand — and notice your fox line peaking a couple of rounds after every rabbit peak.