HTML
-
The observational data of national and regional meteorological stations recorded between 2003 and 2015 were used in this study. This information includes hail and tornado datasets obtained from a manual observation database with no need for quality control, and thunderstorm gale and short-term heavy rainfall data sets obtained from a historical hourly meteorological observation database from the Climate Center of Guangdong Province. The quality control methods of the hourly precipitation and wind data include temporal, spatial, and factor consistency checks, climate boundary value checks, and manual checks.
-
(1) Determination of hazard-formative factors
Because short-term heavy rainfall, thunderstorm gales, hail, and tornadoes are the main hazard-formative factors for severe convective weather in Guangdong Province, these four factors were adopted accordingly in the present study.
Short-term heavy rainfall is defined as a precipitation event with cumulative rainfall ≥20 mm h-1. However, precipitation events with 3 h cumulative rainfall amounts ≥50 mm and ≥100 mm are also prone to cause disasters in Guangdong Province. Thus, precipitation cases with rainfall ≥20 mm h-1, ≥50 mm 3h-1, and ≥100 mm 3h-1 were adopted in this study as indicators for short-term heavy rainfall.
In this study, a thunderstorm gale was defined as a severe wind weather event with gusts reaching up to level 8, or ≥17.2 m s-1. Thus, severe wind events with gusts ≥17.2 m s-1, ≥24.5 m s-1, and ≥32.7 m s-1 were adopted as three indicators for thunderstorm gales.
The hail and tornado events were analyzed according to the frequency obtained from the manual observation database. Therefore, no indicators were set for these events.
(2) Normalization of hazard-formative factors
To eliminate the effects of different units and to facilitate calculation, the aforementioned hazard-formative factors were quantified into a non-vector index between 0 and 1 by using the following formula:
$$ D_{i j}=\frac{A_{i j}-\min _{i}}{\max _{i}-\min _{i}}, $$ (1) where Dij is the normalized value of the i th index in the j zone, Aij is the ith index in the j zone, and mini and maxi are the minimum and maximum values of the i th index, respectively.
(3) Weight determination
The coefficient of variation method, which objectively uses the information contained in each index to calculate the weight, was adopted in this study to determine the weights of the hazard-formative factors. In this evaluation index system, although indices with greater differences in value are more difficult to achieve, they can better reflect differences in the parameters to be evaluated.
Owing to the different dimensions of each index in the evaluation index system, direct comparison of the difference degree is not appropriate. To eliminate the influence of the different dimensions of each evaluation index, it is necessary to use the coefficient of variation of each index to measure the difference degree of each index value. The variation coefficient formula of each index is
$$ V_{i}=\frac{\sigma_{i}}{\bar{x}_{i}}(i=1, 2, \mathrm{~L}, n), $$ (2) where Vi is the coefficient of variation (coefficient of standard deviation) of the i th index, σi is the standard deviation of the i th index, and xi is the mean value of the i th index.
The weight of each index is
V i
$$ W_{i}=\frac{V_{i}}{\sum\limits_{i=1}^{n} V_{i}} $$ (3) Table 1 shows the standard deviation, mean value, and coefficient of variation of each hazard-formative factor, where R1, R2, and R3 are precipitation events with ≥20 mm h-1, ≥50 mm 3h-1, and ≥100 mm 3h-1 cumulative rainfall, respectively; W1, W2, and W3 are the severe wind weather events with maximum gusts reaching levels 8, 10, and 12, respectively; H and T represent hail and tornado events, respectively.
Index R1 R2 R3 W1 W2 W3 H T Sum Standard deviation 0.2019 0.0941 0.0589 0.1071 0.0559 0.0961 0.0898 0.0781 — Mean value 0.3009 0.0716 0.0110 0.0701 0.0210 0.0093 0.0129 0.0115 — Coefficient of variation 0.6711 1.3145 5.3536 1.5277 2.6624 10.3130 6.9789 6.8083 35.6295 Weight 0.0188 0.0369 0.1503 0.0429 0.0747 0.2895 0.1959 0.1911 1.000 Table 1. Weights of hazard-formative factors.
-
The model of the hazard-formative factors of severe convective weather was constructed according to the weights calculated above. The results were used to develop the integrated model of the hazard-formative factors of severe convective weather in Guangdong Province as
$$ \operatorname{IDRI}=D_{R 1}{ }* W_{R 1}+D_{R 2}{ }* W_{R 2}+D_{R 3} * W_{R 3}+D_{W 1} * W_{W 1}+ \\ D_{W 2} * W_{W 2}+D_{W 3} * W_{W 3}+D_{H} * W_{H}+D_{T} * W_{T}, $$ (4) where IDRI is the integrated hazard index of severe convective weather; DR1, DR2, and DR3 are the normalized hazard indices of three types of short-term heavy rainfall, respectively; DW1, DW2, and DW3 are the normalized hazard indices of three types of thunderstorm gale, respectively; DH and DT are the normalized hazard indices of hail and tornado, respectively; and W corresponds to the weight of each hazard-formative factor.
-
The kriging method was adopted in this study to determine the weights of the hazard-formative factors. This method is a regression algorithm for the spatial modeling and prediction (interpolation) of random process or random fields based on the covariance function [13]. Kriging is a typical statistical algorithm that has been applied in such fields as geography, environmental science, and atmospheric science.