Electronic Supplement to
Evidence for Truncated Exponential Probability Distribution of Earthquake Slip

by Kiran K. S. Thingbaijam and P. Martin Mai

Table S3. The Fits of Exponential Distribution Using LeastSquares Technique to the Empirical Probability Distribution of Slip Derived for Each Rupture Model

evTAG	MAE	p Value (MAE)	rmse	p Value (rmse)	R2	VR	AIC	c
s1974PERUCE01HART	0.010	0.905	0.012	0.917	0.99	99.71	−2.70	1.13
s1978MIYAGI01YAMA	0.038	0.404	0.043	0.438	0.87	96.40	−1.20	0.68
s1978TABASI01HART	0.011	0.819	0.013	0.831	0.99	99.55	−2.88	0.36
s1979IMPERI01ARCH	0.055	0.024	0.062	0.024	0.81	93.66	0.05	0.66
s1979IMPERI01HART	0.030	0.607	0.036	0.621	0.89	97.01	−1.77	0.68
s1979IMPERI01ZENG	0.014	0.197	0.016	0.202	0.98	99.50	−0.52	0.83
s1981PLAYAA01MEND	0.014	0.849	0.018	0.832	0.97	99.17	−2.46	0.75
s1983BORAHP01MEND	0.021	0.586	0.024	0.634	0.95	98.69	−1.77	0.42
s1984MORGAN01BERO	0.019	0.132	0.022	0.142	0.96	99.07	−0.28	0.37
s1984MORGAN01HART	0.024	0.367	0.031	0.296	0.89	97.04	−1.04	0.18
s1985CENTRA01MEND	0.019	0.477	0.023	0.492	0.96	98.98	−1.37	0.95
s1985MICHOA01MEND	0.015	0.786	0.017	0.802	0.98	99.41	−2.22	1.41
s1985ZIHUAT01MEND	0.038	0.290	0.046	0.272	0.87	96.71	−0.59	0.92
s1985NAHANN01HART	0.029	0.370	0.032	0.418	0.89	97.15	−1.31	0.82
s1985NAHANN02HART	0.029	0.406	0.034	0.400	0.86	96.43	−1.31	0.87
s1986NORTHP01HART	0.029	0.419	0.033	0.458	0.93	97.84	−1.36	0.15
s1986NORTHP01MEND	0.027	0.483	0.030	0.530	0.64	89.43	−2.46	0.08
s1987WHITTI01HART	0.027	0.426	0.032	0.422	0.93	98.28	−1.13	0.29
s1987SUPERS01LARS	0.029	0.618	0.037	0.582	0.91	97.70	−1.49	1.20
s1987SUPERS01WALD	0.027	0.289	0.031	0.289	0.94	98.37	−0.80	0.99
s1987ELMORE01LARS	0.038	0.474	0.046	0.464	0.87	96.58	−1.18	1.10
s1989LOMAPR01BERO	0.032	0.001	0.036	0.001	0.93	97.64	0.40	1.74
s1989LOMAPR01EMOL	0.047	0.000	0.054	0.000	0.84	96.06	4.36	1.55
s1989LOMAPR01STEI	0.034	0.180	0.039	0.181	0.91	97.80	−0.24	1.60
s1989LOMAPR01WALD	0.025	0.547	0.029	0.558	0.94	98.35	−1.53	1.31
s1989LOMAPR01ZENG	0.011	0.153	0.012	0.164	0.99	99.66	−0.48	2.26
s1989UNGAVA01HART	0.026	0.669	0.029	0.722	0.94	98.33	−2.00	0.79
s1992JOSHUA01BENN	0.025	0.225	0.031	0.186	0.93	98.22	−0.44	0.35
s1992JOSHUA01HOUG	0.010	0.951	0.014	0.904	0.98	99.53	−2.73	0.52
s1992LANDER01COHE	0.009	0.943	0.011	0.940	0.99	99.66	−3.01	1.42
s1992LANDER01WALD	0.015	0.639	0.020	0.592	0.97	99.20	−1.73	2.31
s1992LANDER01ZENG	0.040	0.000	0.046	0.000	0.88	96.90	3.27	2.46
s1993HOKKAI01MEND	0.019	0.607	0.022	0.625	0.96	98.85	−1.86	0.64
s1994NORTHR01DREG	0.016	0.311	0.019	0.289	0.97	99.30	−0.77	0.93
s1994NORTHR01HART	0.034	0.121	0.040	0.105	0.91	97.62	0.06	0.73
s1994NORTHR01HUDN	0.027	0.379	0.031	0.394	0.92	97.88	−1.14	1.05
s1994NORTHR01SHEN	0.014	0.729	0.019	0.649	0.97	99.17	−1.84	0.83
s1994NORTHR01WALD	0.042	0.055	0.046	0.058	0.88	96.94	0.34	1.05
s1994NORTHR01ZENG	0.044	0.000	0.049	0.000	0.86	96.49	2.13	1.25
s1994SANRIK01NAGA	0.018	0.666	0.021	0.701	0.95	98.54	−2.22	0.88
s1994SANRIK01NAKA	0.011	0.816	0.015	0.772	0.98	99.50	−2.23	0.68
s1995KOBEJA01CHOx	0.012	0.985	0.015	0.986	0.98	99.32	−3.64	0.51
s1995KOBEJA01IDEx	0.041	0.000	0.048	0.000	0.84	95.91	3.14	0.78
s1995KOBEJA01KOKE	0.026	0.635	0.030	0.664	0.93	97.97	−1.99	0.88
s1995KOBEJA01WALD	0.026	0.350	0.030	0.355	0.92	98.05	−1.03	0.67
s1995KOBEJA01YOSH	0.024	0.708	0.031	0.671	0.91	97.63	−1.98	0.85
s1995KOBEJA01ZENG	0.017	0.001	0.019	0.000	0.98	99.29	1.27	0.90
s1995KOBEJA02SEKI	0.012	0.598	0.014	0.606	0.98	99.42	−2.13	0.72
s1995COPALA01COUR	0.050	0.039	0.058	0.033	0.46	85.94	0.04	0.62
s1995COLIMA01MEND	0.011	0.842	0.014	0.815	0.98	99.57	−2.33	1.35
s1996HYUGAx01YAGI	0.013	0.828	0.015	0.859	0.95	98.58	−3.00	0.39
s1996NAZCAR01SALI	0.020	0.871	0.024	0.875	0.94	98.23	−2.72	0.56
s1996NAZCAR01SPEN	0.014	0.572	0.016	0.603	0.97	99.34	−1.81	0.73
s1996HYUGAx02YAGI	0.026	0.448	0.031	0.453	0.93	98.20	−1.22	0.38
s1997KAGOSH02HORI	0.068	0.004	0.076	0.004	0.68	86.66	−0.27	0.16
s1997KAGOSH01HORI	0.028	0.296	0.035	0.264	0.91	97.19	−1.08	0.34
s1997KAGOSH01MIYA	0.019	0.868	0.023	0.891	0.96	98.82	−2.69	0.21
s1997YAMAGU01IDEx	0.077	0.013	0.086	0.012	0.73	93.12	1.14	0.23
s1997YAMAGU01MIYA	0.033	0.655	0.040	0.644	0.91	97.44	−1.65	0.13
s1998ANTARC01ANTO	0.011	0.723	0.012	0.772	0.99	99.65	−2.25	4.74
s1998ANTARC02ANTO	0.009	0.959	0.011	0.957	0.99	99.72	−3.03	4.87
s1998IWATEJ01NAKA	0.021	0.694	0.023	0.741	0.95	98.62	−2.30	0.47
s1999OAXACA01HERN	0.014	0.928	0.018	0.931	0.98	99.49	−2.71	0.73
s1999CHICHI01CHIx	0.027	0.141	0.032	0.124	0.94	98.38	−0.09	4.13
s1999CHICHI01SEKI	0.037	0.023	0.042	0.021	0.88	97.09	0.62	3.64
s1999CHICHI01ZENG	0.047	0.000	0.054	0.000	0.74	93.28	4.35	2.38
s1999CHICHI02MAxx	0.033	0.222	0.038	0.225	0.91	97.79	−0.46	5.45
s1999HECTOR01JONS	0.012	0.380	0.014	0.404	0.98	99.56	−1.18	1.60
s1999HECTOR01KAVE	0.016	0.224	0.019	0.214	0.96	98.95	−0.89	1.02
s1999HECTOR01SALI	0.014	0.835	0.016	0.857	0.98	99.45	−2.45	1.72
s1999IZMITT01BOUC	0.057	0.000	0.066	0.000	0.75	92.95	2.78	2.96
s1999IZMITT01CAKI	0.020	0.470	0.027	0.381	0.96	98.86	−1.01	1.97
s1999IZMITT01DELO	0.015	0.832	0.018	0.836	0.97	99.29	−2.45	2.18
s1999IZMITT01REIL	0.045	0.004	0.051	0.004	0.86	96.35	1.18	2.00
s1999IZMITT01SEKI	0.020	0.237	0.023	0.239	0.96	99.05	−0.57	1.61
s1999IZMITT01YAGI	0.052	0.057	0.058	0.057	0.80	94.92	0.35	2.77
s1999DUZCET01BIRG	0.020	0.879	0.023	0.896	0.94	98.42	−2.80	1.06
s1999DUZCET01DELO	0.061	0.142	0.068	0.150	0.20	79.94	−0.74	1.40
s2000KLEIFA01SUDH	0.025	0.590	0.030	0.580	0.91	97.74	−1.73	0.34
s2000TOTTOR01IWAT	0.011	0.979	0.013	0.980	0.98	99.59	−3.33	0.77
s2000TOTTOR01PIAT	0.031	0.187	0.034	0.207	0.90	97.30	−0.73	1.14
s2000TOTTOR01SEKI	0.010	0.942	0.012	0.937	0.99	99.62	−2.91	0.53
s2000TOTTOR01SEMM	0.010	0.884	0.012	0.910	0.99	99.68	−2.95	0.66
s2001BHUJIN01ANTO	0.016	0.625	0.021	0.580	0.96	98.86	−1.73	2.63
s2001BHUJIN01COPL	0.018	0.701	0.023	0.683	0.95	98.61	−2.07	3.88
s2001BHUJIN01YAGI	0.052	0.094	0.058	0.094	0.79	94.41	0.06	3.33
s2001GEIYOJ01KAKE	0.012	0.974	0.015	0.977	0.98	99.38	−3.51	0.60
s2001GEIYOJ01SEKI	0.015	0.910	0.018	0.915	0.97	99.26	−2.82	0.81
s2002DENALI01ASAN	0.057	0.004	0.064	0.003	0.78	94.23	1.24	4.29
s2003COLIMA01YAGI	0.013	0.633	0.016	0.632	0.97	99.29	−1.93	0.60
s2003BOUMER01SEMM	0.073	0.008	0.083	0.006	0.70	92.29	1.23	1.29
s2003MIYAGI01MIUR	0.025	0.655	0.028	0.686	0.95	98.77	−1.76	0.67
s2003TOKACH01KOKE	0.038	0.172	0.044	0.175	0.84	95.77	−0.54	2.46
s2003TOKACH01YAGI	0.007	0.979	0.008	0.980	0.99	99.81	−3.51	1.52
s2003TOKACH01YAMA	0.041	0.197	0.048	0.195	0.86	96.46	−0.40	2.17
s2004PARKFI01CUST	0.014	0.669	0.018	0.626	0.97	99.21	−1.83	0.08
s2004PARKFI01DREG	0.012	0.943	0.016	0.918	0.98	99.53	−2.68	0.16
s2004PARKFI01JIxx	0.015	0.683	0.018	0.706	0.97	99.28	−2.00	0.09
s2004SUMATR01AMMO	0.033	0.002	0.037	0.001	0.92	97.90	1.37	3.72
s2004SUMATR01JIxx	0.036	0.013	0.040	0.012	0.90	97.59	0.86	6.88
s2005SUMATR01JIxx	0.030	0.143	0.034	0.147	0.92	98.09	−0.21	3.41
s2005SUMATR01KONC	0.008	0.936	0.011	0.872	0.98	99.30	−3.99	2.81
s2005SUMATR01SHAO	0.012	0.789	0.014	0.789	0.99	99.64	−2.14	3.52
s2005FUKUOK01ASAN	0.014	0.829	0.017	0.816	0.97	99.29	−2.39	0.60
s2005NORTHE01SHAO	0.033	0.329	0.038	0.351	0.87	96.68	−1.06	1.02
s2005HONSHU01SHAO	0.011	0.987	0.014	0.987	0.98	99.59	−3.44	0.34
s2005KASHMI01KONC	0.015	0.661	0.018	0.637	0.97	98.94	−2.61	3.05
s2005KASHMI01SHAO	0.024	0.672	0.033	0.595	0.93	98.04	−1.62	2.68
s2006JAVAIN01YAGI	0.084	0.000	0.095	0.000	0.61	89.75	2.24	0.74
s2006SOUTHE01JIxx	0.024	0.371	0.028	0.383	0.95	98.68	−1.00	0.52
s2006SOUTHE01KONC	0.041	0.027	0.044	0.034	0.87	94.58	−1.29	1.28
s2006KURILI01JIxx	0.013	0.826	0.014	0.861	0.98	99.59	−2.48	2.67
s2006KURILI01LAYx	0.043	0.122	0.049	0.127	0.85	96.19	−0.06	4.48
s2006KURILI01SLAD	0.032	0.119	0.037	0.107	0.90	96.11	−1.06	1.57
s2006PINGTU02YENx	0.045	0.228	0.051	0.245	0.71	92.31	−0.82	0.18
s2007BENKUL01JIxx	0.041	0.033	0.045	0.035	0.89	97.18	0.59	1.29
s2007BENKUL02GUSM	0.012	0.907	0.014	0.921	0.98	99.46	−2.93	1.81
s2007BENKUL02KONC	0.031	0.170	0.037	0.142	0.80	93.25	−1.29	1.88
s2007KURILI01JIxx	0.047	0.045	0.053	0.045	0.85	96.17	0.48	7.28
s2007KURILI01SLAD	0.031	0.167	0.037	0.157	0.91	96.92	−1.18	4.40
s2007SOLOMO01JIxx	0.063	0.012	0.072	0.008	0.76	93.87	1.07	1.67
s2007PAGAII01JIxx	0.012	0.822	0.014	0.826	0.98	99.56	−2.34	0.79
s2007PAGAII01KONC	0.015	0.643	0.019	0.621	0.95	97.73	−3.17	0.85
s2007PAGAII01SLAD	0.016	0.655	0.018	0.722	0.95	98.35	−3.07	0.88
s2007NIIGAT01CIRE	0.015	0.623	0.017	0.678	0.97	99.19	−2.13	0.60
s2007PISCOP01JIxx	0.010	0.897	0.012	0.919	0.99	99.69	−2.73	2.11
s2007PISCOP01KONC	0.018	0.444	0.023	0.378	0.95	98.32	−2.49	0.83
s2007PISCOP01SLAD	0.027	0.371	0.032	0.380	0.85	95.13	−1.82	1.65
s2007TOCOPI01JIxx	0.014	0.644	0.018	0.632	0.97	99.31	−1.81	0.74
s2007TOCOPI01MOTA	0.011	0.518	0.012	0.574	0.99	99.75	−1.54	0.78
s2007TOCOPI01SLAD	0.061	0.006	0.067	0.007	0.86	93.93	−0.53	1.22
s2007TOCOPI01ZENG	0.007	0.943	0.010	0.933	0.99	99.81	−2.80	0.64
s2007TOCOPI03BEJA	0.017	0.733	0.020	0.761	0.96	99.03	−2.31	0.57
s2008SIMEUL01HAYE	0.032	0.106	0.040	0.082	0.82	95.34	−0.14	0.26
s2008SIMEUL01SLAD	0.014	0.784	0.019	0.717	0.97	98.79	−2.87	0.33
s2008WENCHU01JIxx	0.042	0.085	0.045	0.107	0.87	96.76	0.01	3.45
s2008WENCHU01SLAD	0.019	0.522	0.024	0.474	0.94	98.61	−1.96	4.64
s2008WENCHU01YAGI	0.046	0.017	0.053	0.012	0.85	96.29	0.89	3.41
s2008WENCHU03FIEL	0.019	0.465	0.021	0.512	0.95	98.89	−2.07	4.12
s2009LAQUIL01GUAL	0.015	0.816	0.019	0.812	0.97	99.30	−2.24	0.35
s2009LAQUIL02CIRE	0.023	0.533	0.026	0.572	0.96	98.89	−1.61	0.47
s2008IWATEx01CULT	0.012	0.594	0.014	0.622	0.98	99.53	−1.91	1.76
s2008IWATEx01HAYE	0.027	0.358	0.032	0.346	0.89	97.28	−1.08	1.09
s2009FIORDL01HAYE	0.020	0.625	0.024	0.640	0.94	98.42	−1.90	1.64
s2009GULFOF01HAYE	0.012	0.960	0.014	0.976	0.98	99.58	−3.23	0.71
s2009PADANG02SLAD	0.022	0.737	0.028	0.695	0.95	98.38	−2.15	2.07
s2009VANUAT01HAYE	0.029	0.249	0.033	0.263	0.89	97.13	−0.81	0.49
s2009VANUAT01SLAD	0.023	0.428	0.027	0.430	0.95	98.48	−2.46	1.08
s2008SULAWE01SLAD	0.016	0.712	0.019	0.708	0.98	99.36	−3.12	0.81
s2009PAPUAx01HAYE	0.024	0.354	0.028	0.373	0.90	97.54	−1.26	0.79
s2010MAULEC01DELO	0.011	0.985	0.016	0.955	0.98	99.42	−3.02	3.47
s2010MAULEC01HAYE	0.029	0.258	0.034	0.250	0.92	97.83	−0.64	5.07
s2010MAULEC01LUTT	0.027	0.175	0.031	0.177	0.94	98.51	−0.27	5.49
s2010MAULEC01SHAO	0.053	0.026	0.060	0.023	0.81	95.29	0.76	5.49
s2010MAULEC02LORI	0.005	1.000	0.006	1.000	1.00	99.85	−5.64	4.93
s2009OFFSHO01HAYE	0.024	0.237	0.027	0.262	0.95	98.63	−0.69	0.86
s2010ELMAYO01WEIx	0.010	0.688	0.013	0.697	0.99	99.49	−2.89	1.18
s2010NORTHE01HAYE	0.031	0.208	0.035	0.227	0.84	95.81	−0.85	0.54
s2010NORTHE02HAYE	0.031	0.309	0.037	0.298	0.92	97.92	−0.69	0.45
s2010DARFIE01ATZO	0.038	0.002	0.044	0.001	0.89	97.19	1.44	3.27
s2010DARFIE01HAYE	0.012	0.590	0.015	0.588	0.98	99.56	−1.61	0.96
s2010BONINI01HAYE	0.010	0.933	0.011	0.951	0.99	99.76	−2.90	1.03
s2010VANUAT01HAYE	0.021	0.570	0.024	0.605	0.95	98.79	−1.66	0.98
s2010HAITIx01CALA	0.033	0.124	0.038	0.115	0.91	97.78	0.01	2.37
s2010HAITIx01HAYE	0.023	0.267	0.030	0.203	0.91	97.35	−1.20	0.80
s2011PAKIST01HAYE	0.019	0.792	0.023	0.813	0.95	98.73	−2.37	0.92
s2011PAKIST02HAYE	0.026	0.522	0.031	0.533	0.90	97.46	−1.59	0.81
s2011TOHOKU01AMMO	0.032	0.087	0.040	0.062	0.90	97.55	0.28	19.12
s2011TOHOKU01HAYE	0.008	0.954	0.009	0.966	0.99	99.82	−3.12	9.92
s2011TOHOKU01YAGI	0.017	0.531	0.020	0.554	0.97	99.30	−1.47	16.98
s2011TOHOKU01YAMA	0.013	0.844	0.017	0.798	0.98	99.43	−2.23	18.08
s2011TOHOKU01YUEx	0.032	0.430	0.041	0.387	0.90	97.50	−0.93	27.80
s2011TOHOKU03WEIx	0.017	0.559	0.021	0.519	0.97	98.80	−2.35	15.15
s2011TOHOKU04SHAO	0.010	0.945	0.014	0.918	0.98	99.60	−2.75	21.22
s2011VANUAT01HAYE	0.019	0.634	0.023	0.637	0.96	99.09	−1.68	0.32
s2011VANTUR01HAYE	0.022	0.550	0.027	0.543	0.93	98.09	−1.64	1.09
s2011VANTUR01SHAO	0.015	0.908	0.020	0.872	0.96	99.06	−2.60	1.10
s2012SUMATR03HAYE	0.024	0.685	0.026	0.758	0.94	98.37	−2.20	2.14
s2012OAXACA01HAYE	0.047	0.076	0.059	0.047	0.34	82.76	−0.18	0.92
s2012SUMATR01SHAO	0.017	0.729	0.020	0.751	0.96	99.01	−2.15	19.76
s2012SUMATR01YUEx	0.007	0.992	0.008	0.994	0.99	99.87	−3.50	8.78
s2012SUMATR02HAYE	0.027	0.365	0.031	0.402	0.93	98.32	−1.05	16.14
s2013OKHOTS01WEIx	0.015	0.315	0.021	0.184	0.96	98.48	−2.82	1.63
s2013SANTAC01LAYx	0.019	0.533	0.021	0.599	0.96	98.89	−1.77	2.80
s2012EASTOF01HAYE	0.023	0.552	0.028	0.551	0.94	98.38	−1.54	1.15
s2012COSTAR01HAYE	0.021	0.544	0.026	0.514	0.92	97.98	−1.64	0.48
s2012COSTAR01YUEx	0.006	0.992	0.008	0.990	0.99	99.83	−3.53	0.86
s2013BALOCH01AVOU	0.036	0.098	0.040	0.102	0.89	96.62	−0.81	2.85
s2012MASSET01LAYx	0.026	0.484	0.032	0.449	0.92	97.90	−1.26	2.91
s2012MASSET01SHAO	0.028	0.658	0.036	0.597	0.92	97.82	−1.55	2.49

The notations are the same as in Table S2.

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