# Analysis of Characteristics of Hydrological and Meteorological Drought Evolution in Southwest China

^{1}

^{2}

^{3}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Study Area and Data

#### 2.1. Study Area

^{4}km

^{2}, and the mean annual precipitation for 1968–2017 was 1058 mm, with a standard deviation of 58 mm. It belongs to the humid and semi humid subtropical monsoon climate with a mean annual daily temperature of around 16.25 °C, affected by the Southwest monsoon. The study area is shown in Figure 1. There are six hydrological stations in the study area, and the basins controlled by the six hydrological stations are Yunjinghong Basin (YJHB), Wutongqiao Basin (WTQB), Sanhui Basin (SHB), Wulong Basin (WLB), Jiangbianjie Basin (JBJB) and Wanxian Basin (WXB).

#### 2.2. Dataset

#### 2.3. Methodology

^{−7}I

^{3}− 7.71 × 10

^{−5}I

^{2}+ 1.79 × 10

^{2}I + 0.492; and K is a correction coefficient computed as a function of the latitude and month:

_{0}= 2.515517, C

_{1}= 0.802853, C

_{2}= 0.010328, d

_{1}= 1.432788, d

_{2}= 0.189269, and d

_{3}= 0.001308.

_{0}: $\rho =0$, H

_{1}: $\rho \ne 0$, α = 0.01.

_{0}is true, then t obeys the t-distribution, whose degree of freedom is n−2.

_{0}is denied, otherwise H

_{0}is accepted.

## 3. Results

#### 3.1. The Characteristics of Meteorological Drought

#### 3.2. The Characteristics of Hydrological Drought

#### 3.3. Historical Droughts

## 4. Discussion

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 1.**Geographical location and distribution of meteorological and hydrological stations in the study area.

**Figure 2.**The annual variation of SPEI (

**a**) and frequency curve of SPEI-12 in different periods (

**b**). The solid line in (

**a**) shows the change of SPEI in given years, and the dotted line shows the downward trend of SPEI. The three lines in (

**b**), respectively, show the frequency curves of SPEI in three time periods, indicating the probability that SPEI is lower than a certain value in the time period.

**Figure 3.**The annual variation of SPEI in spring (

**a**), summer (

**b**), autumn (

**c**) and winter (

**d**) in Southwest China.

**Figure 5.**Frequency distribution of meteorological drought in different periods. This shows the distribution of drought frequency before the 21st century (

**a**) and since the 21st century (

**b**), as well as the change of drought frequency between the two periods (

**c**).

**Figure 6.**The variation of SRI in Wanxian hydrological station: The change of SRI-1 (

**a**), SRI-3 (

**b**), SRI-12 (

**c**), SRI-24 (

**d**).

**Figure 7.**The frequency of drought at hydrological stations. The blue and red bar charts respectively show the frequency before the 21st century and during the 21st century.

**Figure 8.**The annual variation trend of drought affected area (

**a**) and the decadal variation of drought affected area in different regions (

**b**), i.e., Southwest China, Sichuan, Guizhou and Yunnan.

**Figure 9.**Relationship between drought affected area and the two indices: (

**a**) is the meteorological drought index and (

**b**) is the hydrological drought index.

**Figure 10.**The M-K value of precipitation and temperature: (

**a**) is the M-K value of annual precipitation from 1968 to 2017 and (

**b**) is the M-K value of annual average temperature from 1951 to 2018.

Basins | Hydrological Stations | Longitude | Latitude | Area (km^{2}) | Average Annual Runoff (10^{8} m^{3}) |
---|---|---|---|---|---|

YJHB | Yunjinghong | 100°47′ E | 22°1′ N | 72,625 | 564 |

WTQB | Wutongqiao | 103°49′ E | 29°20′ N | 120,905 | 766 |

SHB | Sanhui | 106°29′ E | 30°1′ N | 33,155 | 111 |

WLB | Wulong | 107°43′ E | 29°19′ N | 76,101 | 487 |

JBJB | Jiangbianjie | 103°36′ E | 24°3′ N | 31,608 | 60 |

WXB | Wanxian | 108°25′ E | 30°45′ N | 630,822 | 4066 |

Grade | Degree | SPEI/SRI |
---|---|---|

1 | No drought | −0.5< |

2 | Light drought | −1.0–−0.5 |

3 | Moderate drought | −1.5–−1.0 |

4 | Severe drought | −2.0–−1.5 |

5 | Extreme drought | ≤−2.0 |

Value Range | Correlation Description |
---|---|

0.8–1.0 | Very strong correlation |

0.6–0.8 | Strong correlation |

0.4–0.6 | Moderate correlation |

0.2–0.4 | Weak correlation |

0.0–0.2 | Very weak correlation or no correlation |

Statistics | r | n | α | t | ${\mathit{t}}_{\mathit{\alpha}/2}{\mathit{t}}_{\mathit{\alpha}/2}$ |
---|---|---|---|---|---|

0.28 | 51 | 0.05 | 2.023 | 1.676 |

Statistics | r | n | α | t | ${\mathit{t}}_{\mathit{\alpha}/2}{\mathit{t}}_{\mathit{\alpha}/2}$ |
---|---|---|---|---|---|

Between affected area and SPEI | −0.01 | 45 | 0.05 | −0.085 | 1.679 |

Between affected area and SRI | −0.29 | 45 | 0.05 | −1.973 | 1.679 |

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**MDPI and ACS Style**

Tang, H.; Wen, T.; Shi, P.; Qu, S.; Zhao, L.; Li, Q. Analysis of Characteristics of Hydrological and Meteorological Drought Evolution in Southwest China. *Water* **2021**, *13*, 1846.
https://doi.org/10.3390/w13131846

**AMA Style**

Tang H, Wen T, Shi P, Qu S, Zhao L, Li Q. Analysis of Characteristics of Hydrological and Meteorological Drought Evolution in Southwest China. *Water*. 2021; 13(13):1846.
https://doi.org/10.3390/w13131846

**Chicago/Turabian Style**

Tang, Han, Tong Wen, Peng Shi, Simin Qu, Lanlan Zhao, and Qiongfang Li. 2021. "Analysis of Characteristics of Hydrological and Meteorological Drought Evolution in Southwest China" *Water* 13, no. 13: 1846.
https://doi.org/10.3390/w13131846