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tokens: This research was supported by NASA grants NNX13AF99G, NNX10AE46G, and NNX12AH44G, and by NSF grant AGS-0955700. X.G. was also supported by the 973 program 2012CB825602, NNSFC grant 41231067, and in part by the Specialized Research Fund for State Key Laboratories of China. We are grateful for the use of the Neutron Monitor Database at http://www.nmdb.eu , the Wilcox Solar Observatory, and the OMNI data obtained through the GSFC/SPDF OMNIWeb interface at http://omniweb.gsfc.nasa.gov .