Africa - Central Africa - Sahel Africa - South Asia - East Siberia Asia - Indonesia Asia - North Central Asia - South Central Asia and China Asia - Southeast Asia and India Asia - West Siberia Australia Europe Globe Middle East and Sahara North America - Alaska and Northern Canada North America - Central America North America - Eastern United States North America - Southern Canada North America - Western United States South America - Amazon South America - Southeast South America - Southwest

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	2.49
CRUNCEPv7	[-]	2.99	3.04	1.99	2.49	2.68		0.542	1.00	2.48		0.39	0.31	0.59	0.96	0.61
GSWP3v1	[-]	2.59	2.64	1.72	2.49	2.68		0.133	0.875	2.96		0.51	0.29	0.49	0.98	0.63
WFDEI	[-]	2.41	2.46	1.76	2.49	2.68		-0.0314	0.872	3.04		0.51	0.29	0.49	0.97	0.64

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.21
CRUNCEPv7	[-]	1.93	1.94	0.629	1.20	2.59		0.735	1.12	0.767		0.54	0.49	0.87	0.95	0.72
GSWP3v1	[-]	1.85	1.86	0.733	1.20	2.59		0.652	1.11	1.14		0.57	0.46	0.78	0.90	0.71
WFDEI	[-]	1.84	1.85	0.664	1.20	2.59		0.648	1.15	1.07		0.56	0.45	0.80	0.90	0.72

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.67
CRUNCEPv7	[-]	2.01	2.01	1.96	1.67	2.05		0.348	0.850	1.09		0.60	0.53	0.87	0.98	0.71
GSWP3v1	[-]	1.95	1.96	1.76	1.67	2.05		0.294	0.852	1.37		0.62	0.51	0.80	0.96	0.71
WFDEI	[-]	1.93	1.92	1.90	1.67	2.05		0.263	0.883	1.44		0.64	0.48	0.78	0.98	0.69

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.851
CRUNCEPv7	[-]	0.444	0.453	0.313	0.851	1.06		-0.405	0.553	0.226		0.60	0.64	0.99	0.95	0.80
GSWP3v1	[-]	0.501	0.509	0.385	0.851	1.06		-0.346	0.540	0.354		0.65	0.63	0.98	0.92	0.81
WFDEI	[-]	0.305	0.311	0.247	0.851	1.06		-0.541	0.697	0.335		0.51	0.59	0.98	0.93	0.82

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	3.76
CRUNCEPv7	[-]	4.53	4.55	4.48	3.75	3.91		0.769	0.950	2.61		0.21	0.31	0.58	0.87	0.73
GSWP3v1	[-]	3.59	3.57	3.68	3.75	3.91		-0.160	0.512	2.31		0.55	0.34	0.63	1.0	0.75
WFDEI	[-]	3.64	3.60	3.86	3.75	3.91		-0.105	0.573	2.09		0.48	0.33	0.68	0.86	0.70

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.12
CRUNCEPv7	[-]	0.958	0.960	0.793	1.12	1.40		-0.157	0.458	0.465		0.85	0.66	0.97	0.95	0.73
GSWP3v1	[-]	0.866	0.865	0.803	1.12	1.40		-0.251	0.502	0.582		0.78	0.66	0.96	0.99	0.74
WFDEI	[-]	0.768	0.766	0.760	1.12	1.40		-0.350	0.534	0.716		0.70	0.68	0.95	0.99	0.76

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.17
CRUNCEPv7	[-]	1.00	1.12	0.481	1.18	0.658		-0.0463	0.618	1.12		0.73	0.48	0.91	0.99	0.72
GSWP3v1	[-]	0.867	0.969	0.407	1.18	0.658		-0.196	0.644	1.22		0.63	0.50	0.91	0.88	0.77
WFDEI	[-]	0.886	0.972	0.485	1.18	0.658		-0.191	0.704	1.24		0.62	0.49	0.90	0.90	0.77

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	2.11
CRUNCEPv7	[-]	2.50	2.59	1.78	2.11	3.39		0.562	0.962	1.20		0.46	0.41	0.79	0.98	0.62
GSWP3v1	[-]	2.08	2.15	1.54	2.11	3.39		0.113	0.838	1.72		0.54	0.41	0.70	0.94	0.70
WFDEI	[-]	2.25	2.32	1.68	2.11	3.39		0.284	1.02	1.67		0.46	0.40	0.70	0.90	0.74

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.785
CRUNCEPv7	[-]	0.470	0.505	0.211	0.785	0.741		-0.285	0.522	0.426		0.70	0.59	0.97	0.95	0.69
GSWP3v1	[-]	0.519	0.551	0.274	0.785	0.741		-0.238	0.593	0.457		0.74	0.52	0.97	0.97	0.64
WFDEI	[-]	0.280	0.308	0.0783	0.785	0.741		-0.480	0.662	0.398		0.54	0.56	0.97	0.94	0.58

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.787
CRUNCEPv7	[-]	1.17	1.13	1.87	0.779	2.20		0.390	0.646	1.80		0.51	0.47	0.86	0.97	0.67
GSWP3v1	[-]	1.18	1.14	1.84	0.779	2.20		0.399	0.650	1.96		0.51	0.48	0.84	0.95	0.70
WFDEI	[-]	1.13	1.09	1.83	0.779	2.20		0.346	0.672	1.98		0.52	0.44	0.85	0.95	0.74

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.32
CRUNCEPv7	[-]	1.29	1.31	1.20	1.31	1.43		-0.0148	0.484	0.281		0.81	0.61	0.98	0.95	0.69
GSWP3v1	[-]	1.18	1.19	1.13	1.31	1.43		-0.127	0.453	0.358		0.78	0.65	0.98	0.97	0.83
WFDEI	[-]	1.04	1.04	1.07	1.31	1.43		-0.269	0.573	0.440		0.69	0.62	0.97	0.92	0.79

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.56
CRUNCEPv7	[-]	1.35	1.72	0.335	1.56	2.29		0.183	0.730	1.14		0.55	0.45	0.82	0.94	0.70
GSWP3v1	[-]	1.21	1.54	0.304	1.56	2.29		0.00549	0.695	1.26		0.60	0.46	0.81	0.98	0.73
WFDEI	[-]	1.20	1.51	0.342	1.56	2.29		-0.0234	0.769	1.28		0.55	0.44	0.81	0.97	0.71

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.603
CRUNCEPv7	[-]	0.259	0.728	0.144	0.603	0.485		0.136	0.549	1.92		0.58	0.29	0.79	0.95	0.75
GSWP3v1	[-]	0.270	0.708	0.163	0.603	0.485		0.117	0.548	1.84		0.58	0.30	0.80	0.94	0.75
WFDEI	[-]	0.311	0.800	0.193	0.603	0.485		0.205	0.670	2.04		0.54	0.25	0.78	0.92	0.77

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.876
CRUNCEPv7	[-]	0.417	0.507	0.186	0.875	1.04		-0.373	0.558	0.455		0.61	0.60	0.97	0.94	0.73
GSWP3v1	[-]	0.481	0.561	0.276	0.875	1.04		-0.318	0.552	0.580		0.65	0.59	0.96	0.98	0.65
WFDEI	[-]	0.336	0.420	0.118	0.875	1.04		-0.457	0.639	0.637		0.54	0.58	0.96	0.97	0.68

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	2.12
CRUNCEPv7	[-]	2.22	2.20	2.48	2.12	2.78		0.209	0.771	1.30		0.47	0.34	0.77	0.98	0.61
GSWP3v1	[-]	2.08	2.08	2.19	2.12	2.78		0.0515	0.665	1.21		0.57	0.40	0.82	0.98	0.66
WFDEI	[-]	2.09	2.07	2.31	2.12	2.78		0.0670	0.724	1.15		0.54	0.37	0.83	0.98	0.67

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.88
CRUNCEPv7	[-]	1.91	1.92	1.89	1.88	2.11		0.0609	0.556	0.361		0.86	0.63	0.97	0.98	0.79
GSWP3v1	[-]	1.76	1.76	1.80	1.88	2.11		-0.0978	0.511	0.366		0.84	0.67	0.97	1.0	0.82
WFDEI	[-]	1.79	1.80	1.84	1.88	2.11		-0.0580	0.672	0.349		0.79	0.61	0.97	0.99	0.82

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.14
CRUNCEPv7	[-]	1.04	1.04	1.10	1.14	1.29		-0.0921	0.454	0.0887		0.85	0.63	0.99	0.99	0.74
GSWP3v1	[-]	0.960	0.958	1.07	1.14	1.29		-0.176	0.474	0.0909		0.80	0.63	0.99	0.99	0.72
WFDEI	[-]	0.880	0.878	0.980	1.14	1.29		-0.257	0.521	0.146		0.74	0.64	0.99	0.99	0.66

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	0.787
CRUNCEPv7	[-]	0.829	0.842	0.881	0.786	1.92		0.0623	0.588	1.65		0.64	0.29	0.82	0.94	0.74
GSWP3v1	[-]	0.819	0.833	0.879	0.786	1.92		0.0547	0.620	1.66		0.61	0.29	0.83	0.92	0.78
WFDEI	[-]	0.953	0.967	0.941	0.786	1.92		0.186	0.776	1.77		0.56	0.24	0.82	0.91	0.79

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	3.61
CRUNCEPv7	[-]	4.09	4.10	3.67	3.61	3.16		0.475	0.920	2.19		0.37	0.28	0.68	0.91	0.70
GSWP3v1	[-]	3.36	3.36	3.10	3.61	3.16		-0.258	0.732	1.82		0.48	0.33	0.75	0.96	0.74
WFDEI	[-]	3.26	3.26	3.13	3.61	3.16		-0.363	0.807	1.84		0.40	0.32	0.75	0.97	0.68

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.96
CRUNCEPv7	[-]	2.53	2.51	2.81	1.96	2.09		0.555	1.17	0.999		0.50	0.47	0.89	0.97	0.70
GSWP3v1	[-]	2.30	2.29	2.48	1.96	2.09		0.334	1.10	1.33		0.54	0.46	0.82	0.87	0.71
WFDEI	[-]	2.48	2.46	2.60	1.96	2.09		0.505	1.20	1.20		0.51	0.44	0.85	0.93	0.70

	Download Data	Period Mean (original grids) [mm d-1]	Model Period Mean (intersection) [mm d-1]	Model Period Mean (complement) [mm d-1]	Benchmark Period Mean (intersection) [mm d-1]	Benchmark Period Mean (complement) [mm d-1]		Bias [mm d-1]	RMSE [mm d-1]	Phase Shift [months]		Bias Score [1]	RMSE Score [1]	Seasonal Cycle Score [1]	Spatial Distribution Score [1]	Interannual Variability Score [1]
Benchmark	[-]	1.17
CRUNCEPv7	[-]	0.807	0.905	0.411	1.17	1.34		-0.248	0.661	1.79		0.46	0.42	0.80	0.93	0.58
GSWP3v1	[-]	0.843	0.950	0.389	1.17	1.34		-0.225	0.647	1.88		0.46	0.45	0.78	0.91	0.64
WFDEI	[-]	0.733	0.813	0.371	1.17	1.34		-0.368	0.766	1.97		0.37	0.43	0.75	0.82	0.66

Africa - Central Africa - Sahel Africa - South Asia - East Siberia Asia - Indonesia Asia - North Central Asia - South Central Asia and China Asia - Southeast Asia and India Asia - West Siberia Australia Europe Globe Middle East and Sahara North America - Alaska and Northern Canada North America - Central America North America - Eastern United States North America - Southern Canada North America - Western United States South America - Amazon South America - Southeast South America - Southwest

	Download Data
CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

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CRUNCEPv7	[-]
GSWP3v1	[-]
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CRUNCEPv7	[-]
GSWP3v1	[-]
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CRUNCEPv7	[-]
GSWP3v1	[-]
WFDEI	[-]

Africa - Central Africa - Sahel Africa - South Asia - East Siberia Asia - Indonesia Asia - North Central Asia - South Central Asia and China Asia - Southeast Asia and India Asia - West Siberia Australia Europe Globe Middle East and Sahara North America - Alaska and Northern Canada North America - Central America North America - Eastern United States North America - Southern Canada North America - Western United States South America - Amazon South America - Southeast South America - Southwest Relationship with Precipitation Relationship with diff_Precipitation Relationship with func_Precipitation

  creation_date: Fri May 16 15:29:34 PDT 2014

  Conventions: Please contact Prof. James Randerson (Email: jranders@uci.edu) or Dr. Mingquan Mu (mmu@uci.edu) for any question

  source_file: This product is generated from monthly MODIS ET in 0.5x0.5 observations

  title: derived MODIS ET in 0.5x0.5

  Approach: I used gdal tool to convert the original tif file to netcdf file. Meanwhile I also converted the original unit to the standard one (Kg/m2/mon --> Kg/m2/s) and saved the final file in netcdf format. Derived Data Code: http://redwood.ess.uci.edu/mingquan/www/ILAMB/Download/CODES/CODES/subroutines/convert/convert-et-modis.ncl

  Temporal resolution: monthly

  General information: This product was derived from MODIS MOD16A2 monthly 0.5 degree CMG dataset.

  Spatial resolution: 0.5x0.5 degree