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

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

Table S2. The Fits of Truncated Exponential 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
s1974PERUCE01HART	0.009	0.960	0.011	0.955	0.99	99.76	−2.90	0.86
s1978MIYAGI01YAMA	0.026	0.689	0.032	0.682	0.93	98.04	−1.81	1.22
s1978TABASI01HART	0.012	0.747	0.015	0.758	0.98	99.39	−2.58	2.60
s1979IMPERI01ARCH	0.039	0.123	0.044	0.133	0.90	96.79	−0.63	1.13
s1979IMPERI01HART	0.013	0.987	0.017	0.984	0.97	99.31	−3.23	0.97
s1979IMPERI01ZENG	0.012	0.268	0.014	0.261	0.98	99.59	−0.73	1.18
s1981PLAYAA01MEND	0.015	0.827	0.019	0.805	0.96	99.07	−2.35	1.31
s1983BORAHP01MEND	0.011	0.955	0.013	0.965	0.99	99.63	−3.03	1.99
s1984MORGAN01BERO	0.019	0.132	0.022	0.140	0.96	99.07	−0.28	2.72
s1984MORGAN01HART	0.025	0.326	0.032	0.258	0.88	96.77	−0.96	5.62
s1985CENTRA01MEND	0.013	0.762	0.015	0.810	0.98	99.55	−2.19	0.95
s1985MICHOA01MEND	0.013	0.840	0.016	0.850	0.98	99.49	−2.37	0.70
s1985ZIHUAT01MEND	0.013	0.956	0.017	0.932	0.98	99.52	−2.51	0.55
s1985NAHANN01HART	0.031	0.311	0.034	0.360	0.87	96.67	−1.16	1.20
s1985NAHANN02HART	0.029	0.409	0.035	0.404	0.86	96.35	−1.29	1.15
s1986NORTHP01HART	0.018	0.774	0.023	0.767	0.96	98.97	−2.10	5.34
s1986NORTHP01MEND	0.027	0.487	0.030	0.530	0.64	89.42	−2.46	12.63
s1987WHITTI01HART	0.015	0.862	0.019	0.842	0.98	99.41	−2.20	2.92
s1987SUPERS01LARS	0.011	0.997	0.014	0.996	0.99	99.68	−3.48	0.55
s1987SUPERS01WALD	0.026	0.302	0.030	0.315	0.94	98.48	−0.87	0.98
s1987ELMORE01LARS	0.024	0.824	0.029	0.832	0.95	98.63	−2.09	0.53
s1989LOMAPR01BERO	0.023	0.020	0.026	0.016	0.96	98.77	−0.25	0.51
s1989LOMAPR01EMOL	0.079	0.000	0.094	0.000	0.51	87.79	5.49	0.72
s1989LOMAPR01STEI	0.014	0.786	0.017	0.798	0.98	99.61	−1.96	0.46
s1989LOMAPR01WALD	0.020	0.709	0.025	0.706	0.95	98.81	−1.85	0.71
s1989LOMAPR01ZENG	0.008	0.341	0.009	0.318	0.99	99.79	−0.97	0.43
s1989UNGAVA01HART	0.030	0.599	0.035	0.616	0.91	97.55	−1.62	1.10
s1992JOSHUA01BENN	0.010	0.852	0.012	0.860	0.99	99.73	−2.34	1.89
s1992JOSHUA01HOUG	0.012	0.891	0.016	0.840	0.98	99.37	−2.43	1.89
s1992LANDER01COHE	0.010	0.911	0.013	0.905	0.98	99.57	−2.79	0.69
s1992LANDER01WALD	0.010	0.912	0.012	0.922	0.99	99.72	−2.78	0.38
s1992LANDER01ZENG	0.070	0.000	0.086	0.000	0.57	89.25	4.51	0.47
s1993HOKKAI01MEND	0.019	0.597	0.022	0.618	0.96	98.85	−1.86	1.55
s1994NORTHR01DREG	0.017	0.272	0.021	0.237	0.97	99.16	−0.58	0.99
s1994NORTHR01HART	0.026	0.265	0.031	0.254	0.94	98.59	−0.47	1.20
s1994NORTHR01HUDN	0.009	0.978	0.012	0.972	0.99	99.68	−3.02	0.70
s1994NORTHR01SHEN	0.016	0.684	0.019	0.718	0.97	99.23	−1.91	0.95
s1994NORTHR01WALD	0.030	0.192	0.033	0.212	0.94	98.40	−0.30	0.78
s1994NORTHR01ZENG	0.039	0.000	0.044	0.000	0.89	97.26	1.88	0.74
s1994SANRIK01NAGA	0.020	0.635	0.023	0.665	0.94	98.32	−2.08	1.12
s1994SANRIK01NAKA	0.011	0.821	0.015	0.775	0.98	99.49	−2.21	1.46
s1995KOBEJA01CHOx	0.013	0.985	0.016	0.985	0.97	99.31	−3.61	1.94
s1995KOBEJA01IDEx	0.011	0.045	0.014	0.019	0.99	99.65	0.68	0.73
s1995KOBEJA01KOKE	0.016	0.908	0.020	0.914	0.97	99.13	−2.83	0.98
s1995KOBEJA01WALD	0.025	0.374	0.029	0.382	0.93	98.19	−1.11	1.46
s1995KOBEJA01YOSH	0.017	0.930	0.022	0.902	0.95	98.78	−2.64	0.93
s1995KOBEJA01ZENG	0.012	0.009	0.014	0.007	0.99	99.61	0.66	1.05
s1995KOBEJA02SEKI	0.011	0.661	0.013	0.670	0.98	99.49	−2.26	1.36
s1995COPALA01COUR	0.051	0.038	0.059	0.033	0.45	85.68	0.06	1.61
s1995COLIMA01MEND	0.010	0.905	0.012	0.909	0.99	99.69	−2.65	0.68
s1996HYUGAx01YAGI	0.014	0.829	0.016	0.861	0.95	98.55	−2.98	2.56
s1996NAZCAR01SALI	0.020	0.873	0.024	0.877	0.94	98.21	−2.71	1.79
s1996NAZCAR01SPEN	0.017	0.451	0.019	0.481	0.96	99.05	−1.45	1.33
s1996HYUGAx02YAGI	0.024	0.523	0.029	0.523	0.94	98.44	−1.37	2.56
s1997KAGOSH02HORI	0.034	0.180	0.041	0.155	0.91	96.11	−1.51	2.95
s1997KAGOSH01HORI	0.006	0.998	0.008	0.998	0.99	99.85	−3.99	1.95
s1997KAGOSH01MIYA	0.011	0.995	0.014	0.995	0.98	99.51	−3.58	4.31
s1997YAMAGU01IDEx	0.051	0.121	0.060	0.106	0.87	96.64	0.42	2.32
s1997YAMAGU01MIYA	0.034	0.653	0.041	0.646	0.90	97.36	−1.62	7.76
s1998ANTARC01ANTO	0.011	0.717	0.012	0.768	0.99	99.65	−2.24	0.21
s1998ANTARC02ANTO	0.009	0.960	0.012	0.956	0.99	99.71	−3.00	0.20
s1998IWATEJ01NAKA	0.025	0.602	0.029	0.632	0.93	97.91	−1.88	1.71
s1999OAXACA01HERN	0.012	0.978	0.015	0.979	0.99	99.64	−3.07	1.23
s1999CHICHI01CHIx	0.027	0.143	0.032	0.129	0.94	98.41	−0.11	0.24
s1999CHICHI01SEKI	0.028	0.100	0.032	0.097	0.93	98.32	0.07	0.24
s1999CHICHI01ZENG	0.135	0.000	0.158	0.000	−1.21	42.05	6.50	0.77
s1999CHICHI02MAxx	0.028	0.333	0.034	0.318	0.93	98.26	−0.70	0.17
s1999HECTOR01JONS	0.018	0.181	0.020	0.187	0.96	99.10	−0.47	0.59
s1999HECTOR01KAVE	0.017	0.183	0.020	0.178	0.96	98.77	−0.73	0.97
s1999HECTOR01SALI	0.018	0.682	0.022	0.678	0.96	98.98	−1.84	0.53
s1999IZMITT01BOUC	0.114	0.000	0.137	0.000	−0.05	69.97	4.23	0.44
s1999IZMITT01CAKI	0.016	0.628	0.019	0.651	0.98	99.41	−1.67	0.39
s1999IZMITT01DELO	0.021	0.618	0.025	0.636	0.95	98.60	−1.76	0.43
s1999IZMITT01REIL	0.031	0.054	0.036	0.052	0.93	98.20	0.47	0.39
s1999IZMITT01SEKI	0.019	0.275	0.022	0.268	0.97	99.12	−0.65	0.61
s1999IZMITT01YAGI	0.023	0.509	0.026	0.551	0.96	98.96	−1.23	0.20
s1999DUZCET01BIRG	0.020	0.884	0.024	0.890	0.94	98.37	−2.76	0.93
s1999DUZCET01DELO	0.062	0.140	0.069	0.150	0.18	79.57	−0.72	0.72
s2000KLEIFA01SUDH	0.013	0.970	0.016	0.962	0.98	99.34	−2.95	1.99
s2000TOTTOR01IWAT	0.010	0.984	0.013	0.981	0.98	99.59	−3.34	1.27
s2000TOTTOR01PIAT	0.020	0.491	0.022	0.552	0.96	98.93	−1.65	0.73
s2000TOTTOR01SEKI	0.010	0.937	0.013	0.927	0.98	99.60	−2.87	1.86
s2000TOTTOR01SEMM	0.010	0.918	0.012	0.931	0.99	99.71	−3.04	1.47
s2001BHUJIN01ANTO	0.018	0.564	0.023	0.510	0.95	98.62	−1.54	0.38
s2001BHUJIN01COPL	0.024	0.534	0.028	0.538	0.92	97.83	−1.62	0.24
s2001BHUJIN01YAGI	0.017	0.813	0.021	0.796	0.97	99.25	−1.96	0.14
s2001GEIYOJ01KAKE	0.010	0.994	0.013	0.991	0.98	99.51	−3.74	1.56
s2001GEIYOJ01SEKI	0.010	0.996	0.012	0.993	0.99	99.65	−3.57	1.13
s2002DENALI01ASAN	0.034	0.090	0.038	0.098	0.92	97.99	0.18	0.14
s2003COLIMA01YAGI	0.015	0.559	0.018	0.556	0.97	99.12	−1.71	1.63
s2003BOUMER01SEMM	0.061	0.032	0.071	0.026	0.78	94.40	0.91	0.60
s2003MIYAGI01MIUR	0.013	0.974	0.016	0.973	0.99	99.61	−2.91	1.22
s2003TOKACH01KOKE	0.024	0.466	0.030	0.443	0.92	98.02	−1.30	0.31
s2003TOKACH01YAGI	0.007	0.979	0.009	0.967	0.99	99.77	−3.32	0.62
s2003TOKACH01YAMA	0.021	0.652	0.026	0.638	0.96	98.91	−1.58	0.33
s2004PARKFI01CUST	0.014	0.670	0.018	0.630	0.97	99.20	−1.81	12.88
s2004PARKFI01DREG	0.012	0.951	0.016	0.925	0.98	99.54	−2.71	6.28
s2004PARKFI01JIxx	0.016	0.665	0.019	0.674	0.97	99.21	−1.89	10.89
s2004SUMATR01AMMO	0.021	0.051	0.023	0.055	0.97	99.19	0.43	0.23
s2004SUMATR01JIxx	0.020	0.199	0.023	0.183	0.97	99.18	−0.22	0.12
s2005SUMATR01JIxx	0.026	0.204	0.030	0.204	0.94	98.45	−0.41	0.28
s2005SUMATR01KONC	0.008	0.917	0.012	0.854	0.98	99.26	−3.93	0.35
s2005SUMATR01SHAO	0.009	0.919	0.012	0.901	0.99	99.75	−2.50	0.27
s2005FUKUOK01ASAN	0.014	0.805	0.018	0.805	0.97	99.24	−2.32	1.62
s2005NORTHE01SHAO	0.032	0.385	0.039	0.357	0.87	96.48	−1.00	0.81
s2005HONSHU01SHAO	0.012	0.982	0.015	0.976	0.98	99.48	−3.20	2.85
s2005KASHMI01KONC	0.012	0.838	0.013	0.869	0.99	99.43	−3.24	0.28
s2005KASHMI01SHAO	0.020	0.841	0.023	0.865	0.96	98.99	−2.28	0.24
s2006JAVAIN01YAGI	0.076	0.000	0.088	0.000	0.67	91.33	2.07	1.11
s2006SOUTHE01JIxx	0.021	0.491	0.025	0.484	0.96	98.92	−1.20	1.86
s2006SOUTHE01KONC	0.026	0.185	0.032	0.144	0.93	97.11	−1.92	0.65
s2006KURILI01JIxx	0.009	0.967	0.011	0.974	0.99	99.78	−3.10	0.34
s2006KURILI01LAYx	0.033	0.277	0.039	0.275	0.91	97.65	−0.54	0.19
s2006KURILI01SLAD	0.014	0.611	0.017	0.611	0.98	99.14	−2.57	0.49
s2006PINGTU02YENx	0.046	0.224	0.051	0.243	0.71	92.19	−0.81	5.41
s2007BENKUL01JIxx	0.025	0.217	0.028	0.236	0.96	98.92	−0.37	0.61
s2007BENKUL02GUSM	0.018	0.727	0.020	0.773	0.96	98.91	−2.23	0.48
s2007BENKUL02KONC	0.031	0.155	0.038	0.129	0.79	93.05	−1.26	0.53
s2007KURILI01JIxx	0.032	0.210	0.038	0.184	0.92	98.00	−0.17	0.11
s2007KURILI01SLAD	0.008	0.967	0.011	0.947	0.99	99.74	−3.65	0.16
s2007SOLOMO01JIxx	0.034	0.205	0.039	0.210	0.93	98.22	−0.16	0.31
s2007PAGAII01JIxx	0.012	0.833	0.014	0.841	0.98	99.58	−2.38	1.25
s2007PAGAII01KONC	0.015	0.640	0.019	0.619	0.95	97.70	−3.16	1.18
s2007PAGAII01SLAD	0.016	0.664	0.018	0.726	0.95	98.35	−3.07	1.13
s2007NIIGAT01CIRE	0.018	0.484	0.021	0.537	0.96	98.79	−1.73	1.61
s2007PISCOP01JIxx	0.009	0.939	0.011	0.953	0.99	99.74	−2.88	0.45
s2007PISCOP01KONC	0.021	0.357	0.026	0.304	0.94	97.84	−2.24	1.16
s2007PISCOP01SLAD	0.027	0.365	0.032	0.374	0.85	95.00	−1.80	0.60
s2007TOCOPI01JIxx	0.014	0.640	0.018	0.606	0.97	99.25	−1.73	1.35
s2007TOCOPI01MOTA	0.007	0.817	0.008	0.844	1.00	99.88	−2.30	1.22
s2007TOCOPI01SLAD	0.048	0.031	0.056	0.021	0.90	95.65	−0.86	0.72
s2007TOCOPI01ZENG	0.008	0.931	0.010	0.922	0.99	99.80	−2.75	1.55
s2007TOCOPI03BEJA	0.018	0.707	0.022	0.694	0.96	98.78	−2.08	1.67
s2008SIMEUL01HAYE	0.035	0.084	0.050	0.024	0.70	92.47	0.34	3.37
s2008SIMEUL01SLAD	0.033	0.215	0.052	0.082	0.76	90.55	−0.81	2.21
s2008WENCHU01JIxx	0.024	0.417	0.027	0.452	0.96	98.87	−1.04	0.21
s2008WENCHU01SLAD	0.018	0.611	0.021	0.632	0.96	99.00	−2.28	0.18
s2008WENCHU01YAGI	0.017	0.480	0.021	0.447	0.98	99.39	−0.91	0.17
s2008WENCHU03FIEL	0.024	0.315	0.027	0.358	0.93	98.25	−1.62	0.23
s2009LAQUIL01GUAL	0.013	0.893	0.017	0.885	0.98	99.46	−2.51	2.71
s2009LAQUIL02CIRE	0.016	0.768	0.019	0.803	0.98	99.40	−2.23	1.96
s2008IWATEx01CULT	0.006	0.968	0.008	0.955	0.99	99.85	−3.06	0.52
s2008IWATEx01HAYE	0.029	0.303	0.034	0.305	0.88	96.85	−0.93	0.90
s2009FIORDL01HAYE	0.025	0.498	0.029	0.524	0.91	97.73	−1.54	0.58
s2009GULFOF01HAYE	0.016	0.889	0.018	0.911	0.97	99.27	−2.69	1.32
s2009PADANG02SLAD	0.012	0.981	0.016	0.977	0.98	99.48	−3.29	0.36
s2009VANUAT01HAYE	0.031	0.212	0.035	0.228	0.87	96.79	−0.70	2.01
s2009VANUAT01SLAD	0.026	0.370	0.031	0.354	0.93	97.94	−2.16	0.69
s2008SULAWE01SLAD	0.013	0.857	0.016	0.843	0.98	99.55	−3.47	1.08
s2009PAPUAx01HAYE	0.025	0.348	0.028	0.366	0.90	97.51	−1.25	1.26
s2010MAULEC01DELO	0.011	0.982	0.016	0.952	0.98	99.38	−2.97	0.29
s2010MAULEC01HAYE	0.018	0.594	0.021	0.635	0.97	99.18	−1.62	0.16
s2010MAULEC01LUTT	0.022	0.296	0.026	0.299	0.96	99.00	−0.67	0.17
s2010MAULEC01SHAO	0.031	0.236	0.036	0.229	0.93	98.33	−0.28	0.12
s2010MAULEC02LORI	0.005	1.000	0.006	1.000	1.00	99.83	−5.50	0.19
s2009OFFSHO01HAYE	0.022	0.309	0.026	0.319	0.95	98.76	−0.79	1.07
s2010ELMAYO01WEIx	0.011	0.650	0.013	0.660	0.98	99.44	−2.80	0.84
s2010NORTHE01HAYE	0.031	0.211	0.035	0.226	0.84	95.76	−0.84	1.84
s2010NORTHE02HAYE	0.017	0.784	0.020	0.778	0.98	99.37	−1.89	1.60
s2010DARFIE01ATZO	0.018	0.156	0.022	0.131	0.97	99.31	0.03	0.22
s2010DARFIE01HAYE	0.011	0.703	0.012	0.753	0.99	99.72	−2.05	0.97
s2010BONINI01HAYE	0.011	0.871	0.013	0.906	0.99	99.68	−2.59	0.93
s2010VANUAT01HAYE	0.022	0.560	0.029	0.513	0.94	98.34	−1.35	0.87
s2010HAITIx01CALA	0.007	0.989	0.008	0.992	1.00	99.90	−3.13	0.28
s2010HAITIx01HAYE	0.025	0.225	0.031	0.185	0.90	97.08	−1.10	1.22
s2011PAKIST01HAYE	0.021	0.739	0.026	0.745	0.94	98.36	−2.11	1.03
s2011PAKIST02HAYE	0.029	0.457	0.034	0.476	0.89	97.01	−1.43	1.20
s2011TOHOKU01AMMO	0.008	0.940	0.009	0.956	0.99	99.87	−2.66	0.03
s2011TOHOKU01HAYE	0.007	0.981	0.009	0.975	0.99	99.82	−3.12	0.10
s2011TOHOKU01YAGI	0.011	0.841	0.013	0.864	0.99	99.70	−2.31	0.05
s2011TOHOKU01YAMA	0.012	0.903	0.016	0.858	0.98	99.52	−2.40	0.05
s2011TOHOKU01YUEx	0.026	0.629	0.030	0.659	0.95	98.65	−1.55	0.03
s2011TOHOKU03WEIx	0.007	0.981	0.009	0.987	0.99	99.80	−4.12	0.05
s2011TOHOKU04SHAO	0.015	0.789	0.020	0.749	0.97	99.16	−2.01	0.04
s2011VANUAT01HAYE	0.013	0.880	0.018	0.833	0.98	99.46	−2.20	2.91
s2011VANTUR01HAYE	0.026	0.460	0.030	0.466	0.91	97.57	−1.40	0.89
s2011VANTUR01SHAO	0.014	0.944	0.019	0.913	0.97	99.13	−2.68	0.75
s2012SUMATR03HAYE	0.031	0.538	0.035	0.592	0.89	97.10	−1.62	0.40
s2012OAXACA01HAYE	0.048	0.072	0.059	0.046	0.33	82.46	−0.16	1.09
s2012SUMATR01SHAO	0.016	0.793	0.020	0.801	0.96	99.09	−2.23	0.04
s2012SUMATR01YUEx	0.009	0.967	0.011	0.974	0.99	99.79	−3.05	0.11
s2012SUMATR02HAYE	0.019	0.648	0.021	0.689	0.97	99.18	−1.77	0.06
s2013OKHOTS01WEIx	0.014	0.343	0.021	0.196	0.96	98.49	−2.83	0.61
s2013SANTAC01LAYx	0.022	0.428	0.025	0.469	0.94	98.42	−1.42	0.34
s2012EASTOF01HAYE	0.010	0.981	0.012	0.989	0.99	99.72	−3.28	0.68
s2012COSTAR01HAYE	0.021	0.543	0.026	0.513	0.92	97.96	−1.63	2.10
s2012COSTAR01YUEx	0.023	0.347	0.027	0.358	0.93	98.07	−1.13	1.04
s2013BALOCH01AVOU	0.011	0.859	0.012	0.882	0.99	99.67	−3.14	0.24
s2012MASSET01LAYx	0.014	0.896	0.018	0.874	0.97	99.33	−2.39	0.23
s2012MASSET01SHAO	0.028	0.692	0.032	0.733	0.94	98.28	−1.78	0.29

evTAG, rupture model (see Data and Resources); MAE, mean absolute error; rmse, root mean square error;
VR, variance reduction (in %); AIC, Akaike information criterion; c, scale parameter.

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