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

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

Table S4. The Fits of Weibull Distribution Using Least-Squares 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	h
s1974PERUCE01HART	0.034	0.154	0.038	0.164	0.89	97.26	1.54	0.97	0.68
s1978MIYAGI01YAMA	0.018	0.906	0.024	0.875	0.96	98.86	−0.35	0.82	2.12
s1978TABASI01HART	0.017	0.495	0.020	0.520	0.97	98.94	−0.02	0.33	0.84
s1979IMPERI01ARCH	0.041	0.103	0.046	0.101	0.89	96.45	1.47	0.71	1.23
s1979IMPERI01HART	0.025	0.756	0.030	0.788	0.93	97.97	−0.15	0.74	1.35
s1979IMPERI01ZENG	0.005	0.855	0.006	0.860	1.00	99.92	−0.37	0.89	1.22
s1981PLAYAA01MEND	0.019	0.699	0.022	0.720	0.95	98.79	−0.08	0.79	1.02
s1983BORAHP01MEND	0.022	0.582	0.027	0.594	0.94	98.44	0.41	0.47	1.47
s1984MORGAN01BERO	0.040	0.001	0.049	0.000	0.81	95.33	3.34	0.28	0.56
s1984MORGAN01HART	0.030	0.121	0.035	0.119	0.86	96.25	1.19	0.10	0.43
s1985CENTRA01MEND	0.023	0.369	0.026	0.385	0.95	98.66	0.91	0.92	0.95
s1985MICHOA01MEND	0.010	0.965	0.011	0.975	0.99	99.75	−1.09	1.45	1.09
s1985ZIHUAT01MEND	0.054	0.099	0.062	0.092	0.76	93.82	2.04	0.81	0.77
s1985NAHANN01HART	0.019	0.551	0.025	0.483	0.93	98.22	0.22	0.59	0.56
s1985NAHANN02HART	0.023	0.441	0.030	0.391	0.90	97.36	0.39	0.58	0.50
s1986NORTHP01HART	0.028	0.471	0.030	0.551	0.94	98.26	0.43	0.16	1.08
s1986NORTHP01MEND	0.050	0.163	0.060	0.136	−0.47	56.45	0.95	0.10	2.63
s1987WHITTI01HART	0.029	0.393	0.035	0.379	0.92	98.01	1.02	0.29	0.97
s1987SUPERS01LARS	0.019	0.889	0.025	0.856	0.96	98.96	−0.29	1.29	1.22
s1987SUPERS01WALD	0.018	0.584	0.021	0.586	0.97	99.25	0.42	1.08	1.26
s1987ELMORE01LARS	0.049	0.280	0.060	0.254	0.78	94.13	1.36	1.05	0.80
s1989LOMAPR01BERO	0.018	0.070	0.022	0.057	0.98	99.17	1.36	1.87	1.19
s1989LOMAPR01EMOL	0.022	0.000	0.026	0.000	0.96	99.10	4.88	1.71	1.40
s1989LOMAPR01STEI	0.045	0.059	0.053	0.049	0.84	95.97	2.37	1.54	0.84
s1989LOMAPR01WALD	0.024	0.580	0.029	0.565	0.94	98.38	0.45	1.33	1.01
s1989LOMAPR01ZENG	0.022	0.004	0.024	0.004	0.95	98.64	2.90	2.52	1.51
s1989UNGAVA01HART	0.060	0.083	0.072	0.062	0.61	89.47	1.84	0.43	0.37
s1992JOSHUA01BENN	0.016	0.495	0.020	0.492	0.97	99.27	0.66	0.37	1.23
s1992JOSHUA01HOUG	0.034	0.176	0.039	0.171	0.86	96.42	1.32	0.38	0.55
s1992LANDER01COHE	0.011	0.859	0.014	0.860	0.98	99.50	−0.62	1.45	0.96
s1992LANDER01WALD	0.017	0.579	0.023	0.467	0.96	98.91	0.58	2.31	0.96
s1992LANDER01ZENG	0.015	0.004	0.017	0.002	0.98	99.57	3.28	2.71	1.41
s1993HOKKAI01MEND	0.018	0.636	0.020	0.697	0.97	99.03	−0.03	0.67	1.09
s1994NORTHR01DREG	0.046	0.000	0.055	0.000	0.78	94.32	3.32	0.65	0.50
s1994NORTHR01HART	0.014	0.673	0.017	0.709	0.98	99.60	0.28	0.81	1.37
s1994NORTHR01HUDN	0.023	0.522	0.027	0.549	0.94	98.39	0.58	1.21	1.76
s1994NORTHR01SHEN	0.018	0.577	0.021	0.612	0.96	99.03	0.33	0.85	1.15
s1994NORTHR01WALD	0.013	0.758	0.014	0.807	0.99	99.70	0.02	1.18	1.51
s1994NORTHR01ZENG	0.014	0.143	0.016	0.169	0.99	99.65	1.84	1.39	1.50
s1994SANRIK01NAGA	0.027	0.407	0.034	0.377	0.86	96.23	0.73	0.90	1.18
s1994SANRIK01NAKA	0.029	0.161	0.033	0.167	0.90	97.54	1.36	0.53	0.58
s1995KOBEJA01CHOx	0.012	0.988	0.015	0.989	0.98	99.36	−1.69	0.52	1.06
s1995KOBEJA01IDEx	0.020	0.001	0.022	0.001	0.96	99.10	3.63	0.92	1.84
s1995KOBEJA01KOKE	0.020	0.826	0.025	0.826	0.96	98.67	−0.41	0.95	1.37
s1995KOBEJA01WALD	0.010	0.934	0.012	0.948	0.99	99.66	−0.79	0.77	1.58
s1995KOBEJA01YOSH	0.030	0.575	0.034	0.617	0.89	96.98	0.26	0.87	1.23
s1995KOBEJA01ZENG	0.032	0.000	0.035	0.000	0.92	97.62	4.47	0.81	0.81
s1995KOBEJA02SEKI	0.016	0.436	0.020	0.407	0.96	98.88	0.53	0.82	1.44
s1995COPALA01COUR	0.218	0.000	0.253	0.000	−9.32	−167.36	4.99	1.54	1.17
s1995COLIMA01MEND	0.013	0.794	0.016	0.779	0.98	99.48	−0.13	1.47	1.25
s1996HYUGAx01YAGI	0.104	0.001	0.119	0.000	−2.16	16.65	3.07	0.44	4.42
s1996NAZCAR01SALI	0.014	0.948	0.019	0.935	0.96	98.95	−1.24	0.42	0.66
s1996NAZCAR01SPEN	0.023	0.259	0.026	0.268	0.93	98.26	1.15	0.78	1.13
s1996HYUGAx02YAGI	0.024	0.562	0.032	0.490	0.93	98.13	0.81	0.43	1.89
s1997KAGOSH02HORI	0.010	0.940	0.012	0.955	0.99	99.68	−2.02	0.22	2.81
s1997KAGOSH01HORI	0.017	0.677	0.020	0.718	0.97	99.08	−0.20	0.39	1.60
s1997KAGOSH01MIYA	0.027	0.649	0.035	0.610	0.90	97.20	0.17	0.20	0.86
s1997YAMAGU01IDEx	0.021	0.671	0.024	0.718	0.98	99.47	0.58	0.25	2.36
s1997YAMAGU01MIYA	0.046	0.387	0.051	0.430	0.85	95.96	0.80	0.12	0.68
s1998ANTARC01ANTO	0.031	0.056	0.037	0.042	0.87	96.72	1.99	3.54	0.53
s1998ANTARC02ANTO	0.023	0.407	0.026	0.442	0.94	98.58	0.60	4.34	0.74
s1998IWATEJ01NAKA	0.025	0.586	0.028	0.623	0.93	97.99	0.08	0.51	1.25
s1999OAXACA01HERN	0.021	0.723	0.025	0.739	0.96	98.96	0.00	0.72	0.90
s1999CHICHI01CHIx	0.015	0.478	0.018	0.512	0.98	99.50	0.73	4.42	1.20
s1999CHICHI01SEKI	0.008	0.855	0.011	0.832	0.99	99.81	−0.12	4.18	1.67
s1999CHICHI01ZENG	0.027	0.000	0.031	0.000	0.91	97.75	5.25	3.17	2.82
s1999CHICHI02MAxx	0.049	0.062	0.055	0.060	0.82	95.43	2.27	4.94	0.78
s1999HECTOR01JONS	0.009	0.598	0.011	0.557	0.99	99.72	0.36	1.48	0.87
s1999HECTOR01KAVE	0.009	0.547	0.011	0.547	0.99	99.65	0.02	0.86	0.71
s1999HECTOR01SALI	0.013	0.829	0.017	0.776	0.97	99.34	−0.27	1.56	0.83
s1999IZMITT01BOUC	0.015	0.016	0.018	0.010	0.98	99.48	2.17	3.54	2.00
s1999IZMITT01CAKI	0.035	0.118	0.046	0.067	0.87	96.67	2.06	1.82	0.76
s1999IZMITT01DELO	0.025	0.410	0.030	0.415	0.93	98.05	0.57	1.72	0.62
s1999IZMITT01REIL	0.016	0.405	0.017	0.474	0.98	99.59	0.98	2.34	1.98
s1999IZMITT01SEKI	0.012	0.582	0.014	0.618	0.99	99.65	0.43	1.75	1.22
s1999IZMITT01YAGI	0.040	0.157	0.044	0.173	0.88	97.02	1.82	2.92	1.22
s1999DUZCET01BIRG	0.020	0.859	0.025	0.855	0.93	98.20	−0.67	1.00	0.89
s1999DUZCET01DELO	0.031	0.425	0.036	0.444	0.77	94.35	−0.01	0.68	0.49
s2000KLEIFA01SUDH	0.028	0.520	0.032	0.541	0.90	97.43	0.40	0.33	0.97
s2000TOTTOR01IWAT	0.023	0.676	0.026	0.722	0.94	98.42	0.01	0.85	1.35
s2000TOTTOR01PIAT	0.028	0.280	0.034	0.257	0.90	97.29	1.27	1.40	2.31
s2000TOTTOR01SEKI	0.011	0.923	0.014	0.912	0.98	99.53	−0.71	0.57	1.21
s2000TOTTOR01SEMM	0.020	0.436	0.023	0.466	0.96	98.83	0.36	0.61	0.80
s2001BHUJIN01ANTO	0.023	0.348	0.026	0.370	0.93	98.23	0.70	2.46	0.70
s2001BHUJIN01COPL	0.013	0.870	0.017	0.854	0.97	99.23	−0.65	3.63	0.86
s2001BHUJIN01YAGI	0.025	0.545	0.029	0.556	0.95	98.60	0.68	3.84	1.60
s2001GEIYOJ01KAKE	0.023	0.752	0.028	0.754	0.93	97.89	−0.28	0.69	1.45
s2001GEIYOJ01SEKI	0.010	0.992	0.013	0.991	0.99	99.62	−1.48	0.87	1.25
s2002DENALI01ASAN	0.014	0.585	0.016	0.634	0.99	99.62	0.52	4.97	1.78
s2003COLIMA01YAGI	0.018	0.396	0.020	0.439	0.96	98.84	0.56	0.55	0.94
s2003BOUMER01SEMM	0.027	0.390	0.031	0.413	0.96	98.92	1.26	1.45	1.92
s2003MIYAGI01MIUR	0.046	0.217	0.051	0.231	0.85	95.93	1.43	0.60	0.73
s2003TOKACH01KOKE	0.038	0.221	0.052	0.130	0.77	94.04	1.81	3.18	3.58
s2003TOKACH01YAGI	0.020	0.422	0.024	0.395	0.94	98.36	0.66	1.60	1.27
s2003TOKACH01YAMA	0.045	0.147	0.052	0.140	0.83	95.77	1.78	2.13	0.94
s2004PARKFI01CUST	0.051	0.011	0.063	0.003	0.63	90.55	2.66	0.06	0.44
s2004PARKFI01DREG	0.027	0.433	0.032	0.430	0.92	98.02	0.75	0.15	0.79
s2004PARKFI01JIxx	0.026	0.262	0.033	0.213	0.90	97.52	1.25	0.08	0.67
s2004SUMATR01AMMO	0.011	0.334	0.014	0.311	0.99	99.72	1.35	4.02	1.31
s2004SUMATR01JIxx	0.008	0.780	0.010	0.790	0.99	99.86	0.05	7.64	1.44
s2005SUMATR01JIxx	0.010	0.845	0.013	0.850	0.99	99.74	−0.19	3.87	1.59
s2005SUMATR01KONC	0.014	0.554	0.016	0.610	0.97	98.60	−1.30	2.23	0.72
s2005SUMATR01SHAO	0.020	0.409	0.022	0.458	0.97	99.12	0.76	3.59	0.93
s2005FUKUOK01ASAN	0.027	0.420	0.032	0.427	0.91	97.59	0.83	0.69	1.55
s2005NORTHE01SHAO	0.036	0.271	0.043	0.244	0.83	95.63	1.22	0.88	0.74
s2005HONSHU01SHAO	0.073	0.033	0.088	0.020	0.37	83.29	2.26	0.23	0.36
s2005KASHMI01KONC	0.013	0.763	0.015	0.770	0.98	99.26	−0.96	3.24	1.08
s2005KASHMI01SHAO	0.030	0.525	0.036	0.524	0.91	97.57	0.59	2.55	0.98
s2006JAVAIN01YAGI	0.029	0.117	0.035	0.099	0.95	98.60	2.25	0.86	2.35
s2006SOUTHE01JIxx	0.044	0.067	0.050	0.058	0.83	95.76	2.17	0.48	0.74
s2006SOUTHE01KONC	0.022	0.301	0.025	0.320	0.96	98.20	−0.39	1.64	2.29
s2006KURILI01JIxx	0.007	0.989	0.009	0.992	0.99	99.84	−1.44	2.79	1.14
s2006KURILI01LAYx	0.012	0.911	0.014	0.931	0.99	99.67	−0.51	5.05	1.64
s2006KURILI01SLAD	0.010	0.847	0.014	0.800	0.99	99.48	−1.08	1.89	1.65
s2006PINGTU02YENx	0.292	0.000	0.345	0.000	−12.29	−254.30	5.01	0.50	1.66
s2007BENKUL01JIxx	0.054	0.005	0.062	0.003	0.79	94.73	3.22	1.25	0.81
s2007BENKUL02GUSM	0.013	0.865	0.017	0.861	0.97	99.26	−0.62	1.73	0.97
s2007BENKUL02KONC	0.136	0.000	0.175	0.000	−3.44	−50.40	3.82	3.66	1.22
s2007KURILI01JIxx	0.010	0.934	0.012	0.927	0.99	99.79	−0.41	8.28	1.73
s2007KURILI01SLAD	0.026	0.255	0.030	0.263	0.94	97.92	0.43	4.57	1.09
s2007SOLOMO01JIxx	0.029	0.283	0.034	0.292	0.95	98.66	1.55	1.85	1.58
s2007PAGAII01JIxx	0.029	0.220	0.037	0.159	0.89	97.12	1.54	0.75	0.74
s2007PAGAII01KONC	0.016	0.521	0.019	0.491	0.95	97.57	−1.11	0.52	0.56
s2007PAGAII01SLAD	0.011	0.886	0.015	0.840	0.97	98.90	−1.48	0.81	0.85
s2007NIIGAT01CIRE	0.010	0.844	0.014	0.772	0.98	99.45	−0.53	0.53	0.77
s2007PISCOP01JIxx	0.013	0.750	0.016	0.778	0.98	99.48	−0.21	2.01	0.92
s2007PISCOP01KONC	0.024	0.202	0.027	0.231	0.93	97.77	−0.20	0.62	0.64
s2007PISCOP01SLAD	0.007	0.991	0.009	0.989	0.99	99.62	−2.36	1.19	0.62
s2007TOCOPI01JIxx	0.024	0.234	0.027	0.252	0.94	98.34	1.06	0.55	0.58
s2007TOCOPI01MOTA	0.035	0.006	0.039	0.005	0.89	97.25	2.87	0.70	0.71
s2007TOCOPI01SLAD	0.045	0.043	0.051	0.039	0.92	96.51	0.92	1.29	1.20
s2007TOCOPI01ZENG	0.017	0.428	0.019	0.464	0.97	99.22	0.62	0.62	0.81
s2007TOCOPI03BEJA	0.026	0.374	0.032	0.350	0.91	97.48	0.64	0.45	0.64
s2008SIMEUL01HAYE	0.032	0.054	0.036	0.052	0.85	96.09	1.68	0.13	0.44
s2008SIMEUL01SLAD	0.028	0.253	0.034	0.231	0.90	96.07	0.31	0.23	0.61
s2008WENCHU01JIxx	0.043	0.079	0.047	0.089	0.86	96.44	2.11	3.52	0.98
s2008WENCHU01SLAD	0.021	0.464	0.023	0.515	0.95	98.73	−0.04	4.84	1.09
s2008WENCHU01YAGI	0.013	0.665	0.016	0.646	0.99	99.64	0.55	3.79	1.52
s2008WENCHU03FIEL	0.033	0.081	0.039	0.065	0.84	96.14	1.17	2.58	0.47
s2009LAQUIL01GUAL	0.031	0.317	0.037	0.296	0.90	97.28	1.12	0.32	0.74
s2009LAQUIL02CIRE	0.023	0.517	0.026	0.556	0.96	98.85	0.42	0.48	1.00
s2008IWATEx01CULT	0.012	0.662	0.015	0.625	0.98	99.49	0.17	1.93	1.35
s2008IWATEx01HAYE	0.024	0.338	0.028	0.337	0.92	97.92	0.65	0.76	0.56
s2009FIORDL01HAYE	0.018	0.653	0.024	0.590	0.94	98.43	0.09	1.38	0.67
s2009GULFOF01HAYE	0.041	0.213	0.049	0.200	0.81	94.90	1.26	0.55	0.54
s2009PADANG02SLAD	0.020	0.793	0.025	0.765	0.96	98.67	−0.35	2.09	1.04
s2009VANUAT01HAYE	0.032	0.114	0.037	0.101	0.86	96.45	1.40	0.26	0.43
s2009VANUAT01SLAD	0.033	0.181	0.039	0.160	0.88	96.71	0.31	0.91	0.75
s2008SULAWE01SLAD	0.026	0.340	0.032	0.321	0.94	98.28	−0.13	0.75	0.81
s2009PAPUAx01HAYE	0.022	0.386	0.028	0.336	0.90	97.51	0.75	0.79	0.78
s2010MAULEC01DELO	0.019	0.757	0.022	0.773	0.96	98.88	−0.37	3.09	0.70
s2010MAULEC01HAYE	0.026	0.318	0.032	0.286	0.92	98.04	1.26	5.18	1.03
s2010MAULEC01LUTT	0.031	0.126	0.034	0.129	0.93	98.20	1.92	5.67	0.99
s2010MAULEC01SHAO	0.012	0.873	0.014	0.882	0.99	99.75	−0.17	6.21	1.75
s2010MAULEC02LORI	0.007	0.986	0.008	0.991	0.99	99.67	−2.85	4.75	0.95
s2009OFFSHO01HAYE	0.046	0.012	0.053	0.009	0.79	94.72	2.66	0.65	0.58
s2010ELMAYO01WEIx	0.017	0.336	0.019	0.376	0.97	98.89	−0.11	1.06	0.76
s2010NORTHE01HAYE	0.025	0.189	0.031	0.164	0.88	96.82	0.87	0.24	0.39
s2010NORTHE02HAYE	0.068	0.014	0.080	0.009	0.63	90.40	2.84	0.35	0.52
s2010DARFIE01ATZO	0.036	0.002	0.042	0.001	0.90	97.43	3.35	3.34	1.03
s2010DARFIE01HAYE	0.042	0.007	0.049	0.004	0.81	95.18	2.78	0.72	0.58
s2010BONINI01HAYE	0.035	0.116	0.042	0.095	0.87	96.57	1.77	0.84	0.59
s2010VANUAT01HAYE	0.035	0.200	0.046	0.138	0.84	95.74	1.59	0.81	0.63
s2010HAITIx01CALA	0.038	0.071	0.044	0.065	0.89	97.09	2.28	2.31	0.93
s2010HAITIx01HAYE	0.030	0.084	0.033	0.094	0.89	96.72	1.02	0.50	0.53
s2011PAKIST01HAYE	0.033	0.343	0.043	0.280	0.83	95.45	0.91	0.71	0.55
s2011PAKIST02HAYE	0.027	0.410	0.033	0.376	0.89	97.11	0.54	0.55	0.52
s2011TOHOKU01AMMO	0.021	0.303	0.027	0.247	0.96	98.89	1.50	20.18	1.18
s2011TOHOKU01HAYE	0.015	0.582	0.019	0.562	0.97	99.23	0.34	9.45	0.85
s2011TOHOKU01YAGI	0.010	0.881	0.012	0.885	0.99	99.74	−0.45	17.79	1.14
s2011TOHOKU01YAMA	0.015	0.766	0.018	0.806	0.98	99.38	−0.15	20.02	1.29
s2011TOHOKU01YUEx	0.069	0.042	0.079	0.036	0.65	90.71	2.38	20.28	0.52
s2011TOHOKU03WEIx	0.019	0.465	0.023	0.442	0.96	98.52	−0.14	15.14	0.97
s2011TOHOKU04SHAO	0.012	0.887	0.017	0.826	0.98	99.41	−0.37	21.29	0.96
s2011VANUAT01HAYE	0.055	0.041	0.063	0.035	0.74	93.26	2.32	0.27	0.60
s2011VANTUR01HAYE	0.029	0.293	0.037	0.244	0.87	96.49	0.97	0.87	0.55
s2011VANTUR01SHAO	0.019	0.773	0.024	0.753	0.95	98.61	−0.21	1.03	0.91
s2012SUMATR03HAYE	0.025	0.592	0.035	0.487	0.89	97.02	0.40	1.79	0.67
s2012OAXACA01HAYE	0.041	0.048	0.047	0.042	0.58	88.96	1.38	0.20	0.36
s2012SUMATR01SHAO	0.024	0.526	0.029	0.505	0.92	97.99	0.56	19.33	1.12
s2012SUMATR01YUEx	0.031	0.206	0.036	0.202	0.91	97.62	1.40	7.80	0.68
s2012SUMATR02HAYE	0.012	0.894	0.015	0.894	0.98	99.59	−0.47	17.31	1.29
s2013OKHOTS01WEIx	0.094	0.000	0.101	0.000	0.19	65.37	2.31	0.31	0.21
s2013SANTAC01LAYx	0.019	0.491	0.022	0.524	0.95	98.73	0.36	2.74	1.01
s2012EASTOF01HAYE	0.039	0.198	0.045	0.190	0.83	95.64	1.45	1.06	0.78
s2012COSTAR01HAYE	0.017	0.646	0.020	0.657	0.95	98.78	−0.14	0.43	0.71
s2012COSTAR01YUEx	0.017	0.564	0.020	0.594	0.96	98.96	0.26	0.91	1.21
s2013BALOCH01AVOU	0.021	0.394	0.025	0.380	0.96	98.67	0.26	3.11	1.29
s2012MASSET01LAYx	0.019	0.698	0.023	0.719	0.96	98.96	0.04	3.12	1.27
s2012MASSET01SHAO	0.033	0.518	0.041	0.488	0.89	97.17	0.71	2.37	0.89

The notations are same as in Table S2. Additionally, the scale and rate parameters are denoted by c and h.

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