stable-but-reactive window width by heterogeneity level = 0.34813 [0.34808, 0.34818], 0.64640 [0.64629, 0.64650], 1.50043 [1.50002, 1.50084], 4.31097 [4.30851, 4.31343]; reactive-mode IPR = 0.05445 [0.05443, 0.05446], 0.16513 [0.16509, 0.16517], 0.27506 [0.27502, 0.27511], 0.33637 [0.33632, 0.33641]; effective reactive support fraction falls from 0.26017 [0.26013, 0.26020] to 0.03940 [0.03940, 0.03941], with high-minus-low window gain +3.96284 [3.96038, 3.96530] and heterogeneity-reactive-IPR corr +0.81775 [0.81767, 0.81782].
CONFIRMED. Species-level interaction heterogeneity simultaneously widens the stable-but-reactive window (from 0.35 to 4.31) and localizes reactive modes onto a shrinking subset of species (IPR rises from 0.05 to 0.34), with correlation r=0.82 between the two effects. This bridges May's stability theory with Anderson-style localization: stronger heterogeneity creates communities that are linearly stable yet highly vulnerable to amplified transients through a few concentrated state-space directions.
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