Research Article | | Peer-Reviewed

Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM

Received: 16 May 2024    Accepted: 6 June 2024    Published: 19 June 2024
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Abstract

The study of extreme precipitation is a significant aspect for investigating rainstorms, flash floods, and unpredictable disasters. Qinba mountain, Shaanxi province, China, is sensitive to extreme climate and rainstorm events. It is crucial to investigate the feature of precipitation extremes in this region with satellite data. According to this, the paper using the 1Day extreme precipitation datasets of TRMM and rain-gauge to calculate the mountain rainstorm, then the statistical metrics (CC, MBE, RMSE) was used in validation as the performance measure. The 1Day, 3Day, 5Day, and 7Day extreme precipitation was identified by the 95th percentile method. Thus to determine the Mountain Equivalent Rainstorm (MER). As the results, (1) Based on the comparison, the TRMM satellite product can capture the extreme precipitation mostly at the station below 433m (R2 >0.5) for 5Day datasets, while 7Day datasets reveal contrast patterns. (2) By applying the MER concept, the TRMM-based and gauge-based ratio revealed a similar pattern of mountain rainstorms at higher elevations and slightly different in the middle region. The mountain rainstorm amount was double the extreme rainfall at a higher elevation. Therefore, the defined extreme precipitation characteristics can assist the disaster risk reduction and mitigation strategy in the Qinba mountain of Shaanxi Province, China, and also provide a reference for improving the satellite algorithm in extreme precipitation measurement.

Published in Journal of Water Resources and Ocean Science (Volume 13, Issue 2)
DOI 10.11648/j.wros.20241302.13
Page(s) 55-62
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Mountain Equivalent Rainfall, Extreme Precipitation, TRMM, Validation, Qinba Mountain Area

1. Introduction
Severe precipitation is constantly related to various disasters , especially in mountain area, and generated natural disasters in recent years more than ever before with direct or indirect detrimental consequences . Tragic landslides, devastated soil erosion, destruction of infrastructures, ruining of agricultural production, and damaging infrastructure is often the destroyed consequences of the variation of extreme events. One of the extreme events which are the most sensitive to climate change is the trend and pattern of excessive precipitation . And analyzing extreme precipitation events is beneficial to recognize both the intense hazard region and preparation of water-related disaster management . Particularly, understanding extreme precipitation is an essential factor for projecting the frequency and intensity, and for limiting the damage caused by extreme events. In addition, mountainous extreme precipitation is defined as the most dangerous hazard worldwide .
The Qinba mountain, a sensitive place to climate change, is located in China’s transitional north and south climate zone and is also the water source of the Middle Route Project of South to North Water Transfer in China . Qinba mountain area in southern Shaanxi province has many advantages in resources, tourism, and agriculture, which are important areas of economic development in Shaanxi Province . So, being a traditional mountainous agglomeration region and most influenced by extreme precipitation events, it is necessary to reveal the characteristics of extreme precipitation of this area. The characteristic of extreme precipitation in the Qinba mountain area will improve understanding and prediction of trends of future extreme climate change.
2. Data and Method
Figure 1. The spatial distribution of gauge station and the geographical elevation pattern at the Qinba area.
2.1. Study Area
Located at the boundary line between the north and south parts of China, the Qinba Mountain (31º42’-35ºN, 105º46’-111º15’ E) particularly lies in the Southern part of Shaanxi Province and it is formed at an early Mesozoic progeny by the collision between the Yangtze River in South China and North China (Figure 1). This mountain region dominates approximately 77,000 km2 of the Shaanxi province. The terrain is undulating, with an altitude of 164 to 3748m, an average of 1175m, and a standard deviation of 486m . And the digital elevation model (DEM) data with 90m spatial resolution was downloaded from: https://srtm.csi.cgiar.org/.
2.2. Data Collection
2.2.1. Rain Gauge Data
The rain gauge datasets is the observation in which used for ground validation against with corresponding down-scaled precipitation. The whole daily-timescale datasets is originally from the Shaanxi Water Resource Exploration Bureau. There are 19 hydrology stations, which were recorded from January 1st 1998 to December 31st 2014, and were arranged through Excel and MATLAB software.
2.2.2. TRMM Satellite Precipitation Data
The cooperated project between NASA of the United States and JAXA (the Japan Aerospace Exploration Agency) initiated the satellite precipitation products, namely, TRMM (Tropical Rainfall Measuring Mission) in late 1997 and ceased the operation in April 2015, then reactivated into the earth orbit later that year to observe the global precipitation. The TRMM version 7 was attached with precipitation- detection equipment during the quasi-global monitoring mission, including VIRS (the Visible Infrared Radiometer), TMI (TRMM Microwave Image), CERES (Cloud and Earth Radiant Energy Sensor), LIS (Lightning Imaging Sensor), and PR (the first space borne precipitation radar). Among several precipitation retrieval algorithms, TMPA (Tropical Rainfall Measuring Mission Multi-Satellite Precipitation Analysis products) has been developed through a synthesis of observation from rainfall gauge analyses and satellite-based microwave and infrared sensors. The TMPA algorithm performed the precipitation monitoring on the earth coverage of 50oN-S with a spatial resolution of 0.25o x 0.25o (16 Km) precipitation estimate . In this study, the first decommission period of TRMM is selected for the study with the TRMM products, named, TRMM-3B42. The satellite-based precipitation datasets was obtained from the data archive of the GES DISC website: https://disc. gsfc.nasa.gov/.
Since the operation of TRMM has been finished, the related inquiry may propose why this research is conducting that the TRMM-3B42 datasets is no further continued. There are several explanations related to this: (1) there are few verification in confirming the down-scaling method for satellite-based precipitation products with local-spatial variation explanatory variables, and (2) the consequence of the research could be the hypothesis for strengthening the utilizing satellite products in hydrology, meteorology and water resources management, and (3) this study could be valuable guidance for other research in evaluating or applying satellite precipitation product, especially in term of satellite development. Thus, this research strongly supports improving the satellite resolution for further study in this region and platform down scaling for hydrology issues in other areas.
2.3. Research Method
2.3.1. Determine Extreme Precipitation
The definition of extreme precipitation is identified by precipitation threshold, in which the daily precipitation amount exceeds the precipitation threshold is identified as extreme precipitation; However, the selection of threshold acquires the probability distribution function for extreme precipitation. The long-term percentile of daily precipitation series from 1998 to 2014 for both gauge station and satellite data were accumulated to form the 1Day, 3Day, 5Day, and 7Day. These datasets are applied based on the Bonsal percentile method ADDIN EN.CITE <EndNote><Cite><Author>B. R. BONSAL</Author><Year>2001</Year><RecNum>238</RecNum><DisplayText>(B. R. BONSAL 2001)</DisplayText><record><rec-number>238</rec-number><foreign-keys><key app="EN" db-id="0wasprf275ftroeve9nxstvg5vvepr52f9da" timestamp="1635744743">238</key><key app="ENWeb" db-id="">0</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author>B. R. BONSAL, X. ZHANG, L.A.VINCENT, W. D. HOGG</author></authors></contributors><titles><title>Characteristics of Daily and Extreme Temperatures over Canada</title></titles><dates><year>2001</year></dates><urls></urls></record></Cite></EndNote>to define the threshold for this study. In addition, the distribution of extreme 5Day and 7Day datasets was further analyzed to compare the satellite in capturing extreme precipitation.
The formula of this method is expressed as:
(1)
Where, P is the probability of which random number is less than or equal to the critical value Ym; n is the total number of precipitation data; m is also a critical point divided the data series into two parts where the rank order of Ym is located.
In the study, the long-term 95th percentile method is selected to define a threshold value for four different extreme precipitation scenarios, as 1Day (daily), 3Day, 5Day, and 7Day precipitation. According to the Bonsal percentile method, the extreme precipitation identification is designed as the following procedure:
1) The n precipitation data series are first ranked in ascending order Y1, Y2, Y3,…..., Y(m-1), Ym, Y(m+1)……, Yn according to the precipitation value itself.
2) Define the critical point (Ym), which separated data into two different parts, depending on percentile value.
3) Calculation of linear interpolation between the Y(m+1) and Y(m-1) if Ym isn’t located on the specific rank value. Then, the threshold value is defined.
4) The extreme precipitation datasets of 1D, 3D, 5D, and 7D are prepared according to the defined threshold.
2.3.2. Mountain Rainstorm Validation
Heavy rain is the main reason for the formation of landslides and debris flow, and the critical value of heavy rain that induces landslide and debris flow is varied according to different locations. In this study, the mountain equivalent rainfall concept is used to observe and verify the presence of mountain equivalent rainstorms according to the result of the extreme precipitation datasets. Both satellite and gauge measurement precipitation were applied with the mountain equivalent rainfall concept to define the number of mountainous natural hazards.
The concept of Mountain Equivalent Rainfall described the relationship between rainstorms, which leads to natural disasters, between plain and mountainous regions . Topography is the potential energy basis of landslide and debris flow, especially in the transition area of the first and second steps and the large area of the second steps. To express the contribution of altitude and the probability of occurrence of landslides and mudslides, the Gaussian expression is applied:
(2)
Where h: is the altitude of rainfall station (m).
Topography is the static spatial effect of landslide and debris flow, while the time effect is more dynamic. Affected by the monsoon climate, mountain rainfall has continuity, and potential rainfall is closely related to landslides and debris flows . The potential rainfall can express as:
(3)
Where RPR: the potential rainfall of landslides and debris flows caused by continuous rainfall at rainfall station (mm); Rd: current rainfall at the specific data (Rd=0: rainfall of present-day, Rd=1: rainfall of one day before the present day, and Rd=4: rainfall of four days before present day).
The relationship between rainfall at different altitudes, current rainfall, previous rainfall, and altitude as factors forms a non-linear function expression. This expression is called Mountain Equivalent Rainfall:
(4)
Where RMER: mountain equivalent rainfall (mm); RCR (current rainfall): rainfall for 24 hours measures at the rainfall station (mm); RPR: potential rainfall (mm); G(h): the Gaussian expression.
3. Extreme Precipitation Induced Disasters Based on Gauge Datasets
Extreme precipitation is one of the consequences of climate change and global warming. Disasters, landslides, and debris flow happen frequently due to the affection of the number of extreme precipitations, mostly in mountain areas. Plus, the geographical condition, altitude, is also a crucial factor leading to landslide and debris flow. Figure 2 demonstrated the average ratio value of gauge-based extreme precipitation to gauge-based mountain rainstorm amount over the long-term timescale from 1998 to 2014 in the Qinba mountain area. According to the figure, it can be indicated that after applying the mountain equivalent rainfall (MER) concept the gauge extreme precipitation value is double the amount of precipitation in higher elevation, and lower elevation has a slight variation of precipitation amount. It can be assumed that the same amount of mountain rainstorm at lower elevations cannot produce debris and landslide in mountain areas; however, it can affect the locals in that area with its extreme characteristics. Based on the figure, the higher ratio value was found in the west part due to the higher elevation of this region, while the east part of Qinba found.
Table 1. The value of extreme precipitation and mountain equivalent rainfall based on gauge datasets.

Stations

Elevation (m)

Extreme precipitation (mm)

Mountain Equivalent Rainstorm (mm)

Ratio value

Shuhe

207

44.86

47.59

1.06

Baiyan

234

48.64

52.36

1.08

Changqingpu

253

50.45

57.83

1.09

Guihuayuan

261

45.02

49.1

1.09

Hongchun

349

59.74

69.84

1.17

Gaotan

369

63.42

75.47

1.19

Shiquan

386

53.81

65.22

1.21

Machi

397

50.2

60.67

1.21

Zhulinguan

420

47.08

57.69

1.23

Xixiang

433

48.99

61.33

1.25

Nankuanping

584

48.15

67.74

1.42

Qingniwan

585

43.21

64.8

1.52

Madao

672

46.66

75.68

1.64

Zhenba

699

75.34

135.51

1.83

Tiesuoguan

741

51.89

93.26

1.83

Foping

831

52.74

104.29

2.00

Jiangkou

889

41.47

84.14

2.06

Lianghekou

1336

49.8

123.53

2.53

Taibai

1558

45.39

99.97

2.23

The station with elevations from 831 to 1558m (Foping, Jiangkou, Lianghekou, Taibai) showed the mountain equivalent rainstorm between 104.29 mm, 84.14 mm, 123.53mm, 99.97 mm for station-based datasets, respectively, and the ratio value between 2 to 2.53, which indicated the mountain rainstorm amount was twice the gauge extreme precipitation amount. Meanwhile, the station with elevations of 585 m to 699 m showed the equivalent mountain rainstorm of 64.8mm, 75.68 mm, and 78.5 mm at Qingniwan, Madao, and Zhenba, respectively, and the ratio ranged between 1.52 to 1.83. The stations at elevations 349 to 584m were defined the mountain equivalent rainstorm with 69.84 mm, 75.47 mm, 65.22 mm, 65.22 mm, 60.67 mm, 57.69 mm, 61.33 mm, 67.74 mm at Hongchun, Gaotan, Shiquan, Machi, Zhulinguan, Xixiang, Nankuanping, and ratios between 1.17 to 1.42, while the ratio value between 1.06 to 1.09 was found at the lowest part of the Qinba area (207 to 253m).
Figure 2. The spatial distribution of ratio value between extreme precipitation and mountain rainstorm over the Qinba region.
4. Extreme Precipitation Induced Disasters Based on Satellite Datasets
The satellite algorithm is crucial for measuring precipitation due to its vast variety of temporal and spatial scales globally. In addition, the assessment of satellite capability to capture extreme precipitation is also taken into account for this study. The average ratio value of rainstorm to satellite extreme precipitation between 1998 to 2014 at Qinba mountain was shown in Figure 3. According to the plot below, the overall ratio value fluctuated between 1.1 to 2.33. The results expressed that the extreme precipitation of the western Qinba region turned into twice the amount of precipitation after the application of the MER concept. The capturing precipitation of the satellite was lower than the ground measurement, so the satellite-based ratio value was also lower. The higher ratio value was found in the west part of the study area, while the east part of Qinba with lower elevation found lower ratio.
Figure 3. The spatial distribution of ratio value between extreme precipitation and mountain rainstorm over the Qinba region.
Table 2. The value of extreme precipitation and mountain equivalent rainstorm based on satellite data.

Stations

Elevation (m)

Extreme precipitation (mm)

Mountain Equivalent Rainstorm (mm)

Ratio value

Shuhe

207

45.58

48.32

1.06

Baiyan

234

41.74

44.66

1.07

Changqingpu

253

53.96

58.65

1.09

Guihuayuan

261

45.94

49.97

1.09

Hongchun

349

56.63

65.63

1.16

Gaotan

369

58.73

69.19

1.18

Shiquan

386

56.67

67.13

1.18

Machi

397

56.33

67.65

1.20

Zhulinguan

420

39.95

48.7

1.23

Xixiang

433

56.50

69.64

1.23

Nankuanping

584

41.48

57.52

1.40

Qingniwan

585

41.75

60.4

1.46

Madao

672

43.62

68.56

1.58

Zhenba

699

54.96

91.96

1.68

Tiesuoguan

741

49.95

85.67

1.74

Foping

831

44.75

84.65

1.91

Jiangkou

889

43.48

83.81

1.94

Lianghekou

1336

47.69

109.27

2.33

Taibai

1558

36.35

80.42

2.23

Meanwhile, the ratio value was increased according to the increase in elevation. The elevation 207 m to 253 m showed a slight increase of mountain equivalent rainstorm amount with 48.32 mm, 44.66 mm, and 58.65 mm at Shuhe, Baiyan, and Changqingpu, respectively, which ratio value ranges from 1.06 to 1.09; while higher elevations from 349m to 420m indicated the ratio value between 1.16 to 1.23 and the mountain equivalent rainstorm found at Hongchun, Gaotan, Shiquan, Machi, Zhulinguan with 65.63 mm, 69.19 mm, 67.13 mm, 67.65 mm, and 58.78 mm, respectively. The medium elevation between 584 m to 884 m showed a ratio between 1.4 to 1.94 with mountain equivalent rainstorms of 60.4mm, 68.56mm, 91.96mm, 85.67 mm, 84.65 mm, and 83.81 mm, respectively. Lianghekou station was the station with a high ratio value and had a mountain equivalent rainstorm of 109.27 mm.
5. Conclusion
The Mountain Equivalent Rainfall concept was applied to determine the mountain equivalent rainstorm of both gauge-based and satellite-based datasets. Results received as:
1) Both datasets revealed that the mountain equivalent rainstorm is related to the elevation of the stations. The higher elevation indicated the higher mountain equivalent rainstorm amounts.
2) MER concept demonstrated that the ratio between extreme precipitation and mountain rainstorm amounts range from 1.1 to 2.05 and 1.1 to 2.04 for gauge-based and satellite-based datasets. The ratio showed a higher value at the higher elevation for both datasets. The difference between those was the satellite ratio value lower than the gauge in the middle area of the study.
3) The west part of Qinba found a higher ratio value and a lower ratio found in the east part of the Qinba mountain.
Abbreviations

MER

Mountain Equivalent Rainstorm.

TRMM

Tropical Rainfall Measuring Mission

NASA

National Aeronautics and Space Administration, USA

JAXA

Japan Aerospace Exploration Agency

VIRS

Visible Infrared Radiometer

TMI

TRMM Microwave Image

CERES

Cloud and Earth Radiant Energy Sensor

LIS

Lightning Imaging Sensor

PR

Precipitation Radar

TMPA

TRMM’ Multi-Satellite Precipitation Analysis Products

Acknowledgments
The authors thank Pro. Song Songbai for assistance with partly theoretical work. The research was supported by the National Natural Science Foundation of China Project "Research on the Random Modeling and Prediction Method of the Non-stationary and Strong fluctuation sequence of Hydrology in a Changing Environment" (52079110).
Author Contributions
Khem Chunpanha: Conceptualization, Data curation, Formal Analysis, Software, Writing – original draft
Yan Baowen: Funding acquisition, Methodology, Project administration, Resources, Supervision, Writing – review & editing
Conflicts of Interest
The authors declare no conflicts of interest.
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  • APA Style

    Chunpanha, K., Baowen, Y. (2024). Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM. Journal of Water Resources and Ocean Science, 13(2), 55-62. https://doi.org/10.11648/j.wros.20241302.13

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    ACS Style

    Chunpanha, K.; Baowen, Y. Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM. J. Water Resour. Ocean Sci. 2024, 13(2), 55-62. doi: 10.11648/j.wros.20241302.13

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    AMA Style

    Chunpanha K, Baowen Y. Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM. J Water Resour Ocean Sci. 2024;13(2):55-62. doi: 10.11648/j.wros.20241302.13

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  • @article{10.11648/j.wros.20241302.13,
      author = {Khem Chunpanha and Yan Baowen},
      title = {Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM
    },
      journal = {Journal of Water Resources and Ocean Science},
      volume = {13},
      number = {2},
      pages = {55-62},
      doi = {10.11648/j.wros.20241302.13},
      url = {https://doi.org/10.11648/j.wros.20241302.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20241302.13},
      abstract = {The study of extreme precipitation is a significant aspect for investigating rainstorms, flash floods, and unpredictable disasters. Qinba mountain, Shaanxi province, China, is sensitive to extreme climate and rainstorm events. It is crucial to investigate the feature of precipitation extremes in this region with satellite data. According to this, the paper using the 1Day extreme precipitation datasets of TRMM and rain-gauge to calculate the mountain rainstorm, then the statistical metrics (CC, MBE, RMSE) was used in validation as the performance measure. The 1Day, 3Day, 5Day, and 7Day extreme precipitation was identified by the 95th percentile method. Thus to determine the Mountain Equivalent Rainstorm (MER). As the results, (1) Based on the comparison, the TRMM satellite product can capture the extreme precipitation mostly at the station below 433m (R2 >0.5) for 5Day datasets, while 7Day datasets reveal contrast patterns. (2) By applying the MER concept, the TRMM-based and gauge-based ratio revealed a similar pattern of mountain rainstorms at higher elevations and slightly different in the middle region. The mountain rainstorm amount was double the extreme rainfall at a higher elevation. Therefore, the defined extreme precipitation characteristics can assist the disaster risk reduction and mitigation strategy in the Qinba mountain of Shaanxi Province, China, and also provide a reference for improving the satellite algorithm in extreme precipitation measurement.
    },
     year = {2024}
    }
    

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  • TY  - JOUR
    T1  - Determination of Mountain Equivalent Rainstorm (MER) in Qinba Maintain Area Based on TRMM
    
    AU  - Khem Chunpanha
    AU  - Yan Baowen
    Y1  - 2024/06/19
    PY  - 2024
    N1  - https://doi.org/10.11648/j.wros.20241302.13
    DO  - 10.11648/j.wros.20241302.13
    T2  - Journal of Water Resources and Ocean Science
    JF  - Journal of Water Resources and Ocean Science
    JO  - Journal of Water Resources and Ocean Science
    SP  - 55
    EP  - 62
    PB  - Science Publishing Group
    SN  - 2328-7993
    UR  - https://doi.org/10.11648/j.wros.20241302.13
    AB  - The study of extreme precipitation is a significant aspect for investigating rainstorms, flash floods, and unpredictable disasters. Qinba mountain, Shaanxi province, China, is sensitive to extreme climate and rainstorm events. It is crucial to investigate the feature of precipitation extremes in this region with satellite data. According to this, the paper using the 1Day extreme precipitation datasets of TRMM and rain-gauge to calculate the mountain rainstorm, then the statistical metrics (CC, MBE, RMSE) was used in validation as the performance measure. The 1Day, 3Day, 5Day, and 7Day extreme precipitation was identified by the 95th percentile method. Thus to determine the Mountain Equivalent Rainstorm (MER). As the results, (1) Based on the comparison, the TRMM satellite product can capture the extreme precipitation mostly at the station below 433m (R2 >0.5) for 5Day datasets, while 7Day datasets reveal contrast patterns. (2) By applying the MER concept, the TRMM-based and gauge-based ratio revealed a similar pattern of mountain rainstorms at higher elevations and slightly different in the middle region. The mountain rainstorm amount was double the extreme rainfall at a higher elevation. Therefore, the defined extreme precipitation characteristics can assist the disaster risk reduction and mitigation strategy in the Qinba mountain of Shaanxi Province, China, and also provide a reference for improving the satellite algorithm in extreme precipitation measurement.
    
    VL  - 13
    IS  - 2
    ER  - 

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