Journal of Mountain Science

, Volume 16, Issue 6, pp 1289–1299 | Cite as

Magnitude-frequency relationship of debris flows in the Jiangjia Gully, China

  • Yan-chao Gao
  • Ning-sheng ChenEmail author
  • Gui-sheng Hu
  • Ming-feng Deng


The magnitude-frequency (MF) relationship of debris flows is the basis for engineering designs and risk quantification. However, because of the lack of debris flow monitoring data, research progress in this area has been relatively slow. The MF relationship of debris flows in Jiangjia Gully, Yunnan Province was evaluated based on a regression analysis of 178 debris flow events that occurred from 1987–2004. The magnitude-cumulative frequency (MCF) relationship of the debris flows in the Jiangjia Gully is consistent with the linear logarithmic transformation function. Moreover, observed data for debris flows in Hunshui Gully of Yunnan Province and Huoshao Gully, Liuwan Gully, and Niwan Gully of Gansu Province were used to verify the function. The results showed that the MCF relationship of high-frequency debris flows is consistent with the power law equation, although the regression coefficients in the equation are considerably different. Further analysis showed a strong correlation between the differences in the constants and the drainage area and daily maximum precipitation.

Key words

Debris flow Magnitude Cumulative frequency Drainage area Precipitation Jiangjia Gully 


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This study was supported by The National Key Research and Development Program of China (Grant No. 2018YFC1505406), the National Natural Science Foundation of China (Grant Nos. 41502337, 41671112, 41661134012, 41501012) and the China Geological Survey (Grant Nos. DD20160274, DD20190640). The observation data were recorded by the Dongchuan Debris Flow Observation and Research Station, Chinese Academy of Sciences. In addition, the authors would like to express our heartfelt gratitude to the reviewers and editors who provided valuable suggestions and helped us improve the content and presentation of the manuscript.


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Copyright information

© Science Press, Institute of Mountain Hazards and Environment, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Key Laboratory of Mountain Hazards and Land Surface ProcessInstitute of Mountain Hazards and Environment, CASChengduChina
  2. 2.Chengdu CenterChina Geological SurveyChengduChina
  3. 3.University of Chinese Academy of SciencesBeijingChina

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