scheme,model,median_log_resid,mdape,mdape_relevelled,mape_relevelled,rmse_ln_centered random,A1 Linear (levels),0.003941579311327104,18.247735441468322,18.23004891488436,35.69297195166703,0.4202401848567488 random,A2 Semi-log,0.05718358954988467,19.034569938583708,18.231160761954637,34.0869684129567,0.3949373865541228 random,A3 Log-log,0.058544005681735456,18.00422814105048,16.999353648099166,32.573565774441384,0.380703144661566 random,A4 Box-Cox,0.04130325060083884,18.567718342220903,17.954579371141705,34.12392448255233,0.3943404790319506 random,A5 Semi-log + quadratics,0.060482363271615824,19.15743025152905,18.11709775973182,34.346470692604235,0.39562549011238385 random,A6 Semi-log + splines,0.05992694422787537,17.6216157169721,16.524937550487323,32.09956942745145,0.37640447767238644 random,B1 No time effects,0.05783820151938279,22.038141454991422,21.21973153779817,37.60444848077603,0.42017760445683755 random,B2 Year FE,0.060634056819226956,19.12497097548873,18.120790003428947,34.4190972555926,0.39595399652847946 random,B3 Quarter FE,0.060482363271615824,19.15743025152905,18.11709775973182,34.346470692604235,0.39562549011238385 random,B4 Month FE,0.05989058589285712,19.342062726308214,18.354164512138155,34.515768803825544,0.39693480132805525 random,C1 No spatial controls,0.064660279848761,28.785665634746415,28.084183838836008,46.280530679601654,0.4873531649156765 random,C2 Municipality FE,0.060482363271615824,19.15743025152905,18.11709775973182,34.346470692604235,0.39562549011238385 random,C3 Grid-cell FE (~5.5 km),0.06211418728747908,18.703553400119855,17.560654074769303,33.92747210229044,0.3913354959102772 random,C4 Grid-cell FE (~1.1 km),0.07346052233407185,20.962941599826827,19.37902139629324,37.526713965938505,0.41837214294707703 random,D1 OLS (muni + month FE),0.05989058589285712,19.342062726308214,18.354164512138155,34.515768803825544,0.39693480132805525 random,D2 Ridge (cross-validated),0.05859458753725022,17.684559394393904,16.68303730586329,32.182831210501654,0.377254725760277 random,D3 Random forest,0.059849487924283906,14.62750218203232,13.315627506545855,29.149851711862564,0.3571621747065756 random,D4 Gradient boosting,0.06070519978533717,14.388300681085338,12.968025826820522,28.70404274157882,0.3522826247099593 random,"D5 Gradient boosting, no coordinates",0.06518367898153521,23.225090677534933,22.231894512368584,40.34607372325065,0.4445804591769491 random,D6 Spatial k-NN comparables,0.031091961266028534,21.18226600985226,21.08883377849876,37.76094936816919,0.43809139600270497 temporal,A1 Linear (levels),0.1023593997120793,20.369511213481317,17.983628345464886,34.78005470885447,0.4002842762670569 temporal,A2 Semi-log,0.1537984152326084,23.154885105735325,19.250951132236665,34.93065853825993,0.39945237558539437 temporal,A3 Log-log,0.15909109773775665,21.769614210046917,17.266368727247855,32.391262877862694,0.377692222226945 temporal,A4 Box-Cox,0.1258160183976118,20.957181720703545,17.619997411558572,33.74049661940829,0.3889147051380237 temporal,A5 Semi-log + quadratics,0.17129196839132454,23.30291738895638,18.276550062146548,33.989570593169596,0.39008182451924517 temporal,A6 Semi-log + splines,0.1614247324548579,21.722504213272607,16.82576888128111,32.08286270087081,0.37439667304872754 temporal,B1 No time effects,0.2826557411184121,29.296772516609654,19.01095994641687,34.65256914399475,0.3950407735178907 temporal,B2 Year FE,0.17007926384480498,23.651696383010147,18.99713708925793,34.63025036534526,0.39482039546313313 temporal,B3 Quarter FE,0.17129196839132454,23.30291738895638,18.276550062146548,33.989570593169596,0.39008182451924517 temporal,B4 Month FE,0.15736851631187143,22.8719130040602,18.68918931880011,34.336746664507935,0.3927079521397681 temporal,C1 No spatial controls,0.16321364030035745,29.015774167241894,25.986670604102326,42.99352712008042,0.4606526213784797 temporal,C2 Municipality FE,0.17129196839132454,23.30291738895638,18.276550062146548,33.989570593169596,0.39008182451924517 temporal,C3 Grid-cell FE (~5.5 km),0.18220234989278072,24.2625431905187,18.814878020376376,34.76783893858608,0.3949793249194573 temporal,C4 Grid-cell FE (~1.1 km),0.1709061348026415,25.324930433263678,20.522125855535506,38.230322256162516,0.42231730885691315 temporal,D1 OLS (muni + month FE),0.15736851631187143,22.8719130040602,18.68918931880011,34.336746664507935,0.3927079521397681 temporal,D2 Ridge (cross-validated),0.17022474494589535,22.257318062238202,17.037619921036498,32.23095939217706,0.3756435542037618 temporal,D3 Random forest,0.18360250057646788,21.340119821052188,13.905947637222784,29.094464580355663,0.3542908632942389 temporal,D4 Gradient boosting,0.18339005785301854,21.21243467837447,13.865439528037044,29.06582352581495,0.35369501531983066 temporal,"D5 Gradient boosting, no coordinates",0.18807982851052696,26.207233073287274,21.276298850287766,38.44281213948979,0.431047370174503 temporal,D6 Spatial k-NN comparables,0.22093905599935848,25.63120139114109,19.23963333094165,34.78903287000047,0.41913080372044065