Migration Simulator | Breeder Bunnies

Migration / Gene Flow Simulator

Simulates deterministic allele frequency change when migrants enter a focal population. Each generation, a fraction m₁ and optionally m₂ of the focal population is replaced by migrants with their own allele frequencies.

p(next) = (1 − m₁ − m₂)p + m₁pₘ₁ + m₂pₘ₂
q(next) = 1 − p(next) | 0 ≤ m₁ + m₂ ≤ 1
If m₁ + m₂ > 0, p equilibrium = (m₁pₘ₁ + m₂pₘ₂) / (m₁ + m₂)

Inputs

Focal Population

Migrant Population 1

pₘ₁

qₘ₁

m₁

Migrant Population 2 Optional

pₘ₂

qₘ₂

m₂

Simulation Length

Generations

Enter values and run the simulation.

This simulator is deterministic. It does not include drift. If migration rates and migrant frequencies stay constant, the focal population moves toward the weighted migrant equilibrium.

Results

Check pending

Starting p —

pₘ₁ / pₘ₂ —

m₁ / m₂ —

p equilibrium —

Final p —

Final q —

Final p(next) —

Generations —

Interpretation —

Allele A p Allele a q pₘ₁ pₘ₂ p equilibrium

Use the horizontal scrollbar below to see contribution columns, p(next), q(next), Δp, equilibrium, and distance to equilibrium.

Gen	p	q	p²	2pq	q²	Resident share	Resident contribution	m₁	pₘ₁	m₁pₘ₁	m₂	pₘ₂	m₂pₘ₂	p(next)	q(next)	Δp	p equilibrium	\|p − equilibrium\|	Closed-form p	Check difference
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