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10 cards from this deck
S0S_0S0, the starting situation before any transitions
Formula generating sequence of state matrices over time
Sn+1=T×SnS_{n+1} = T \times S_nSn+1=T×Sn where TTT is transition matrix
State matrix after nnn applications of transition matrix
S1=T×S0S_1 = T \times S_0S1=T×S0
Sn=Tn×S0S_n = T^n \times S_0Sn=Tn×S0
For a few time steps (like 1, 2, or 3 periods)
For many time steps (like 20 or 40 periods)
When populations stabilise; equal movement in both directions
Movement continues but net effect is zero change
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