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Correlation Between Fire Attendance Time and Burned Area Based on Fire Statistical Data of Japan and China

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Abstract

This paper studies the statistical law of fire attendance time and analyzes the correlation between fire attendance time and burned area based on the urban fire statistical data of Japan from 1995 to 2003 and in Jiangxi Province (China) from 2000 to 2010. The frequency of fire attendance time was better modeled by a lognormal distribution, and the probability density function for both Japan and China were formulated. The expectation of the lognormal distribution reflects the average level of fire attendance time. This study is the first to report that the distribution law of the burned area in each fire attendance time observes power function. And they are valid within 12 min of fire attendance time. The larger absolute value of the exponent of the power law function subjects to the larger probability of small-scale fire and the smaller probability of large-scale fire. It decreases as the fire attendance time increases. This indicates that the fire control ability becomes poor with longer fire attendance time.

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Abbreviations

t a :

Fire attendance time (FAT), the difference between reach time and detection time in one sample of fire statistical data

x c :

Lognormal distribution expectations

w :

Coefficient of lognormal distribution

R square (R 2):

Fitting relation coefficient

A(t a):

Coefficient of the burned area distribution law

B(t a):

Coefficient of the burned area distribution law

X :

Discrete random variable of the burned area

x i :

The possible values of X, i = 1, 2, 3……2,000

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Acknowledgments

The author would like to express their thanks to National Research Institute of Fire and Disaster of Japan and Fire Bureau of Jiangxi Province (China) for their support in carrying out all the fire data and the investigators who collected data. This work was sponsored by the National Natural Science Foundation of China under Grants No. 30972380, the Major Research Plan of the National Natural Science Foundation of China under Grants No. 91024027, the National Key Technology R&D Program of China under Grants No. 2011BAK07B01, and the Fundamental Research Funds for the Central Universities under Grants No. WK2320000010.

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Authors and Affiliations

  1. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, 230026, Anhui, People’s Republic of China

    Lu Lu, Chen Peng, Jiping Zhu, Kohyu Satoh, Deyong Wang & Yunlong Wang

  2. National Research Institute of Fire and Disaster, 4-35-3 Jindaiji-Higashi-Machi Chofu, Tokyo, 182-8508, Japan

    Kohyu Satoh

Authors
  1. Lu Lu
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  2. Chen Peng
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  3. Jiping Zhu
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  4. Kohyu Satoh
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  5. Deyong Wang
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  6. Yunlong Wang
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Corresponding author

Correspondence to Jiping Zhu.

Appendix

Appendix

Proportion of the data set of all urban fire incidents used at each stage of this analysis (Figures 14 and 15).

Figure 14
figure 14

Proportion of the data set from Japan

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Figure 15
figure 15

Proportion of the data set from Jiangxi Province (China)

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Lu, L., Peng, C., Zhu, J. et al. Correlation Between Fire Attendance Time and Burned Area Based on Fire Statistical Data of Japan and China. Fire Technol 50, 851–872 (2014). https://doi.org/10.1007/s10694-012-0306-5

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