1R: K = IRT latent & \_P & 0.175$^{**}$ & 0.082 & 100 \\2R: D = log population only & \_P & 0.279$^{**}$ & 0.109 & 76 \\3R: K = PC1 of blocks & \_P & 0.247$^{***}$ & 0.084 & 93 \\4R: D at lower bounds & \_P & 0.237$^{***}$ & 0.087 & 93 \\5R: D at upper bounds & \_P & 0.244$^{***}$ & 0.085 & 93 \\6R: inferred codes dropped & \_P & 0.131$^{**}$ & 0.060 & 77 \\7R: standardized within era & \_P & 0.265$^{***}$ & 0.091 & 93 \\8R: standardized within macro-region & \_P & 0.224$^{***}$ & 0.085 & 93 \\9R: rank-based P & \_P & 0.185$^{**}$ & 0.076 & 93 \\10R: D without settlement hierarchy & \_P & 0.249$^{***}$ & 0.074 & 84 \\11R: K without administrative levels & \_P & 0.250$^{***}$ & 0.088 & 94 \\12R: both hierarchy indicators removed & \_P & 0.247$^{***}$ & 0.068 & 85 \\13R: quasi-polities dropped & P\_main\_z & 0.205$^{**}$ & 0.101 & 87 \\14R: crises starting $\geq$25 years after polity start & P\_main\_z & 0.305$^{***}$ & 0.095 & 79 \\15R: $\geq$12 of 14 items coded & P\_main\_z & 0.250$^{***}$ & 0.091 & 88 \\16R: no era FE & P\_main\_z & 0.296$^{***}$ & 0.111 & 93 \\17R: no region FE & P\_main\_z & 0.277$^{***}$ & 0.079 & 93 \\18R: no FE & P\_main\_z & 0.288$^{***}$ & 0.095 & 93 \\19R: SE clustered by NGA & P\_main\_z & 0.243$^{***}$ & 0.074 & 93 \\20R: SE clustered by polity & P\_main\_z & 0.243$^{***}$ & 0.088 & 93 \\21