About the Authors

Yong Liu

liuyong@sxu.edu.cn

Affiliation Institute of Loess Plateau, Shanxi University, Taiyuan, Shanxi Province, China

Chao Su

Affiliation Institute of Loess Plateau, Shanxi University, Taiyuan, Shanxi Province, China

Hong Zhang

Affiliation Institute of Loess Plateau, Shanxi University, Taiyuan, Shanxi Province, China

Xiaoting Li

Affiliation Institute of Loess Plateau, Shanxi University, Taiyuan, Shanxi Province, China

Jingfei Pei

Affiliation School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi Province, China

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: YL CS. Performed the experiments: XTL YL. Analyzed the data: CS HZ JFP. Contributed reagents/materials/analysis tools: YL HZ. Wrote the paper: YL CS.