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Figure S1 Equivalent of Fig. 3(a), with Nagylaki (1975) equation [i.e. eqn~(3) without the r̅ denominator].

Figure S2 Equivalent of Fig. 3(a), changing the parameters of the second specialist type: ρ2A = 0.1, ρ2B = 0.9. The new intermediate grey area correspond to the coexistence of the specialist type 1 and of the generalist. There is no three-type coexistence when ρ3 > ρ2B because the generalist becomes better adapted to the second environment than the second specialist (right of the dashed line).

Figure S3 Equivalent of Fig. 3(a), in an asymmetrical environment where q = 0.3. The intermediate grey area correspond to the coexistence of the specialist of the most frequent habitat (2) and of the generalist.

Figure S4 Equivalent of Fig. 2(b), when the migration parameters differ among types. The thicker grey line shows the total population density. New parameters: σ1 = 0.0075, σ2 = 0.05, σ3 = 0.01.

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