(color online) Topological sources of reconstruction errors and impact of coupling strenghts.

(Unspecified parameters as in Fig 1) (a,b) Regions of reconstructible (shaded gray) and non-reconstructible networks (white shading) are non-linearly separated for (a) common cause structures and (b) relay structures (Regimes computed by interpolating analytic results using (3) and (5), details see S1 Supplementary Material). (c) Non-local effect renders larger networks non-reconstructible: Each circle would be reconstructible alone, but the joint network is not (α = 2).