Effective management of water resources is heavily dependent on accurate knowledge of rainfall patterns. Satellite rainfall estimates (SREs) have become increasingly popular due to their ability to provide spatial rainfall data. However, the accuracy of SREs is limited by a variety of factors including a lack of observations, inadequate evaluation techniques, and the use of short evaluation durations. To improve our understanding of SREs, this study evaluated the long-term performance of Tropical Rainfall Measuring Mission (TRMM) and PERSIANN-CDR by analyzing their spatiotemporal patterns. Daily, monthly, seasonal, and annual precipitation estimates were evaluated using statistical measures and data from 71 rain gauges across three critical cells in Jordan from 2000 to 2013. The results showed that while both SREs had low accuracy on a daily scale, TRMM 3B43 performed better than PERSIANN-CDR at the monthly level. Additionally, TRMM 3B43 exhibited superior performance during the heavy rainy season, whereas PERSIANN-CDR showed better results during other seasons. In annual studies, TRMM 3B43 was found to be more accurate than PERSIANN-CDR for the north and south cells, while PERSIANN-CDR had a higher correlation coefficient for the middle cell. These findings can contribute to the development of more reliable and accurate SREs, thereby improving water resource management studies.

  • A thorough assessment of PERSIANN-CDR and TRMM SREs’ long-term performance across temporal scales.

  • Highlighted seasonal performance variations, enhancing the understanding of SRE suitability in different climatic conditions.

  • Valuable insights for data-scarce regions, guiding decision-making and offering practical implications for future research.

Precipitation data are a crucial element in the study of water resource management, hydrological forecasting, and climate change. Current data collection methods, such as ground-based point stations, suffer from limitations in spatial and temporal coverage. To overcome these restrictions, several agencies have launched satellites that estimate rainfall over a gridded area using infrared and microwaves, converted into areal rainfall data through pretested algorithms. Despite their potential, the use of satellite-derived precipitation products is limited due to the lack of thorough quality assessment (Kidd & Levizzani 2011).

The main measuring methods for precipitation data collection are ground-based measurements: radar and point rain gauge stations. These classic recording methods are the most popular source of current hydro-meteorological rainfall data and are generally trusted in hydrological studies (Bernard & Gregoretti 2021). The measuring technology is well established and has been used for decades (Girons Lopez et al. 2015). However, the data are collected at specific sites and thus requires interpolation to obtain the areal rainfall (Camera et al. 2014).

On the contrary, satellite sensors use different techniques such as visible/infrared (VIS/IR) methods, active and passive microwave (MW) techniques, and combined VIS/IR and MW approaches to provide global and consistent measurements of precipitation (Qin et al. 2014). These methods employ unique algorithms, including PERSIANN-CDR and Tropical Rainfall Measuring Mission (TRMM), which offer long-term historical records of rainfall (Maggioni et al. 2016). Each of these used distinct approaches for estimating rainfall through satellite data, each characterized by unique data sources and methodologies (Tapiador et al. 2012; Sun et al. 2018).

TRMM 3B43 relies on both passive MW and radar data from the TRMM satellite, utilizing a combination of physical models and statistical techniques to estimate precipitation (Kofidou et al. 2023). In contrast, PERSIANN-CDR exclusively utilizes geostationary infrared satellite data and employs artificial neural networks to establish statistical relationships between cloud properties and rainfall (Gavahi et al. 2023).

In preceding research, rain gauge data exhibited spatial-temporal limitations. Evaluation of five satellite rainfall estimates (SREs) in Iran showed diverse performance, e.g., TRMM and PERSIANN-CDR, across climatic zones and time frames (Alijanian et al. 2017). In the Upper Huaihe River Basin, PERSIANN-CDR displayed stability but overestimated annual precipitation (Wei et al. 2023). Furthermore, an analysis of three high-resolution SREs – TRMM and PERSIANN-CDR among them – across varied Chinese basins highlighted their different accuracies in estimating precipitation and hydrological events. TRMM demonstrated superior performance in humid regions, while PERSIANN-CDR exhibited potential in arid areas. Nonetheless, both SREs require enhancement in hydrological (Zhang et al. 2022). Kesarwani et al. (2023) evaluated five SREs for drought monitoring capabilities in India, finding TRMM to have a higher correlation and lower errors compared to PERSIANN products. Multiple studies worldwide have examined SREs' potential to influence hydrology, water resource management, and flood forecasting and prevention (Beaufort et al. 2018; Ren et al. 2018; Eini et al. 2022; Dayal et al. 2023; Kumar et al. 2023b).

In Jordan, ground-based rainfall data covering the whole country are lacking and the accuracy of many of them is questionable due to reasons of station place (schools and police stations), collector's skills (reporting persons), timely reporting, and the measuring device, itself. Nevertheless, the stations report point values and are sparsely distributed. This research aimed to evaluate the performance of satellite-based rainfall estimation in comparison with ground-based measurements in Jordan in the long term from 2000 until 2013. In particular, the study utilized two of the most widely used satellite rainfall products, TRMM and PERSIANN-CDR, and compared them with ground-based data collected from rain gauge stations in three distinct regions: the north, middle, and south. The selection of these areas was based on their different climatic and geographical conditions and daily data availability. The north region, with its mountainous terrain and high annual precipitation, presented a favorable location to test the accuracy of satellite-based rainfall estimation. In contrast, the south region, characterized by low rainfall and sparse distribution, represented a challenging case to assess the performance of satellite-based estimation algorithms.

The study's findings have important implications for water resources management, hydrological forecasting, and climate change research in Jordan. Accurate rainfall estimates are essential for managing water resources effectively and forecasting floods, droughts, and other extreme weather events (Alsilibe et al. 2023; Wei et al. 2023). With its unique challenges in obtaining reliable rainfall data, Jordan can benefit significantly from satellite-based rainfall estimation. We contribute valuable insights that address the specific data challenges faced by this region, thereby expanding the applicability and relevance of satellite-based rainfall estimates in a distinct setting.

Jordan is situated within the latitudinal range of 29° 11′ N to 33° 22′ N and the longitudinal range of 34° 19′ E to 39° 18′ E. Covering an expanse exceeding 89,000 km2, the country's landscape is predominantly arid, accounting for over 80% of its total area, and receiving an annual rainfall of under 100 mm (Al-Bakri et al. 2011). The distribution of rainfall is influenced by latitude, longitude, and elevation, creating variations across the territory (Wang et al. 2022).

Precipitation diminishes progressively from the northern to the southern regions, from west to east, and from higher altitudes to lower elevations. On average, the north experiences around 600 mm of rainfall annually, while the south and east receive less than 50 mm (Hadadin et al. 2010). Jordan's rainy period spans from October to May, with a substantial 80% of the yearly precipitation concentrated between December and March (Oweis & Hachum 2006; Renzi et al. 2023). Throughout this rainy season, a significant portion of the rainfall results from orographic effects, triggered by the passage of frontal depressions near Cyprus across the Mediterranean region (Al-Bakri & Suleiman 2004). Additionally, notably, Jordan is unaffected by the monsoon season, further delineating its unique precipitation patterns (Mehta & Yadav 2021; Singh et al. 2022). Because Jordan's rainfall varies appreciably from north to south in view of the orographic effect and distance from the center of the frontal system (Ziv et al. 2015; Marra et al. 2022), each cell was studied separately and was not lumped with other cells.

As mentioned before, three cells were selected (Figure 1), each covering an area of 0.25° ×0.25° (25.61 km × 25.61 km). The selection was based on the low variability of rainfall within the cell and the large variability with the other cells (Aldrian & Dwi Susanto 2003). Additionally, the location of each cell within the north, middle, or south area was maneuvered a little bit to enclose as many rainfall stations as possible. Such maneuvering allows valid comparison between the mean point rainfall and the satellite 0.25° × 0.25° cell size areal rainfall.
Figure 1

Digital elevation model in Jordan and station distribution over cell location. North cell situated between 35.75° and 36° E and 32.25° and 32.50° N (a). Middle cell located between 35.75° and 36° E and 31.75° and 32° N (b). South cell situated between 35.25° and 35.50° E and 30° and 30.25° N (c).

Figure 1

Digital elevation model in Jordan and station distribution over cell location. North cell situated between 35.75° and 36° E and 32.25° and 32.50° N (a). Middle cell located between 35.75° and 36° E and 31.75° and 32° N (b). South cell situated between 35.25° and 35.50° E and 30° and 30.25° N (c).

Close modal

North cell: This particular cell depends on 36 monitoring stations and occupies geographical coordinates ranging from 35.75° to 36° E longitude and 32.25° to 32.50° N latitude. Notably, this specific cell stands out due to its distinctively higher values in terms of recorded rainfall measurements when compared to the other groups of rainfall stations. Furthermore, an elevation gradient is clearly observable within this cell, gradually increasing from its eastern boundary to its western limit.

Middle cell: Serving as the central cell for a cluster of 24 stations, this cell finds its geographic position nestled between the coordinates of 35.75° and 36° E and 31.75° and 32° N. In contrast to other groups of monitoring stations, this cell showcases moderately measured values of rainfall gauges. Adding to its distinct characteristics, a noticeable elevation pattern unfolds within this cell, ascending progressively from its western extremity to its eastern border.

South cell spans across geographic extents that extend from 35.25° to 35.50° E and 30° to 30.25° N. It sets itself apart with the lowest recorded values of rainfall gauges among the three cells. Within this cell, a total of 11 rainfall stations are actively engaged in data collection efforts. Moreover, an evident elevation trend is observed within this cell, where the elevation rises incrementally from its western boundary to its eastern edge.

Dataset

Ground rainfall data

The ground-based rainfall data are collected from point stations within the zone. The data consist of daily rainfalls from 2000 to 2013 obtained from the Jordan Ministry of Water and Irrigation (MWI). The station data were first tested for consistency and correctness with other stations in proximity. About 36, 24, and 11 rainfall stations were used in the north, middle, and south cells, respectively (Figure 1).

The points of rainfall at daily, monthly, seasonal, and annual were interpolated over the cell by the inverse distance weighted (IDW) subroutine of the Geographic Information System (GIS) software and averaged thereby over the cell area (Luo et al. 2019; Sinta et al. 2022; Zhang et al. 2022; Setti et al. 2023). The monthly, seasonal, and annual rainfall data were computed from the daily values. The proposed process to find rainfall value over each cell in this study is illustrated in Figure 2.
Figure 2

A general approach to finding mean rainfall value over each cell.

Figure 2

A general approach to finding mean rainfall value over each cell.

Close modal

TRMM products

In 1997, TRMM was jointly launched by the National Aeronautics and Space Administration (NASA) and the Japan Aerospace Exploration Agency (JAXA) to estimate precipitation for latitudes ranging from 50° S to 50° N. The TRMM satellite was equipped with various instruments including the Visible Infrared Radiometer (VIRS), TRMM Microwave Imager (TMI), Cloud and Earth Radiant Energy Sensor (CERES), Lightning Imaging Sensor (LIS), and the first spaceborne precipitation radar. These instruments provided indirect measurements of precipitation, and the data gathered were subsequently used to develop several precipitation retrieval techniques. The global precipitation measurement (GPM) satellite is one such technique that has replaced TRMM in recent years.

The precipitation retrieval algorithms use data obtained from MW and infrared sensors on board the satellite, as well as rainfall measurements obtained from ground-based gauges. These algorithms create 3-hourly rainfall estimates at a spatial resolution of 0.25°. Multiple studies, including those conducted by Zhang et al. (2022) and Brasil Neto et al. (2022), have employed these algorithms to yield valuable insights into precipitation patterns.

The TRMM satellite analysis algorithm generated two primary products: the TRMM 3B42 and TRMM 3B43. Daily comparisons were made using TRMM 3B42 Version 7, while monthly comparisons were made using TRMM 3B43 Version 7. The data are readily available online via https://giovanni.gsfc.nasa.gov/giovanni/. The seasonal and annual estimates were calculated based on the monthly values derived from the TRMM algorithms. Due to the long-term nature of this study, spanning from 2000 to 2013, TRMM was chosen over GPM as GPM was not yet available during this time period. The use of TRMM highlights the importance of this study in enhancing our understanding of precipitation patterns in Jordan, especially within the critical cells analyzed.

PERSIANN-CDR

The Climate Data Record (CDR) program, a collaboration between the National Oceanic and Atmospheric Association (NOAA) and the University of California, Irvine, produced the PERSIANN-CDR product, a retrospective satellite-based precipitation dataset that spans from 1983 to the present day. This dataset offers daily precipitation estimates with a spatial resolution of 0.25° × 0.25°, making it a valuable source of information for long-term studies (Ashouri et al. 2015).

The PERSIANN-CDR product is a multi-satellite, high-resolution precipitation dataset that utilizes infrared satellite data from global geosynchronous satellites to retrieve precipitation data (Sun et al. 2019). The model is calibrated using National Centers for Environmental Prediction stage IV hourly precipitation data and subsequently run on the entire GridSat-B1 IR data archive (Nguyen et al. 2018). The resulting estimates are further refined using the Global Precipitation Climatology Project (GPCP) monthly 2.5° precipitation products to minimize any predicted precipitation biases (Ashouri et al. 2015).

This product is a crucial resource for studying precipitation patterns, and it is available for download at https://chrsdata.eng.uci.edu/. The product's high spatial and temporal resolutions, coupled with its multi-satellite approach, make it an excellent tool for analyzing precipitation patterns on a global scale.

Statistical validation

To assess the concurrence between ground-based and satellite-derived rainfall data (Figure 3), several indices were employed using Python. These indices encompassed metrics such as the correlation coefficient (CC), mean absolute error (MAE), relative error (RE%), root mean square error (RMSE), and mean bias error (MBE) (Table 1) (Lemenkova & Debeir 2022; Shaikh et al. 2022; Gavahi et al. 2023; Kumar et al. 2023a; Setti et al. 2023; Sharma et al. 2023).
Figure 3

Dataset TRMM, PERSIANN-CDR, and ground data within study areas. Red color is the boundary for each cell.

Figure 3

Dataset TRMM, PERSIANN-CDR, and ground data within study areas. Red color is the boundary for each cell.

Close modal

Daily comparisons

The daily rainfall values of TRMM 3B42 and PERSIANN-CDR datasets were plotted against the cell-averaged ground station data for the three cells (Figure 4). With respect to daily precipitation, these products exhibited low accuracy and great divergence from the ground data. In general, the figures showed that the values accumulated close to the x-axis, and this gave the impression that most of the satellite values were less than the ground values (underestimation), so the slope of the best line was much less than 1 because there was no convergence of values.
Table 1

Statistical metrics used in this study, where Pi and are the ground-based data and its mean, respectively; Oi and are the satellite-measured data and its mean, respectively; and N is the number of data points

Statistical metricDefinitionEquation
Correlation coefficient (CC) It is also called as ‘Pearson's correlation coefficient’. It is the most widely used statistical measure of dependency between two quantities with a range value , and +1 means a perfect correlation strength (Emerson 2015).  
Mean absolute error (MAE) It is the average absolute difference (magnitude) between two sets of data (Willmott & Matsuura 2005) range of , where 0 means no difference.  
Relative error (RE%) It is also known as the ‘Relative Bias in Percent’. The negative sign value means the satellite-estimated data are being underestimated, while the positive sign means the opposite (overestimated).  
Root mean square error (RMSE) It is a widely used statistical measure for correlation between two datasets. It measures the average error magnitude and has a range of , with zero means no difference (Willmott & Matsuura 2005 
Mean bias error (MBE) It is the average difference between two sets of data. It measures the total bias and has a range , with zero means no difference.  
Relative mean absolute error (RMAE) A variation of MAE that attempts to normalize the error by dividing it by the mean of the values (Kouadio et al. 2018). MAE/mean 
Relative root mean square error (RRMSE) A variation of RMSE that attempts to normalize the error by dividing it by the mean of values (Kouadio et al. 2018). RMSE/mean 
Relative mean bias error (RMBE) A variation of MBE that attempts to normalize the bias by dividing it by the mean of the actual values (Rincón et al. 2018). MBE/mean 
Statistical metricDefinitionEquation
Correlation coefficient (CC) It is also called as ‘Pearson's correlation coefficient’. It is the most widely used statistical measure of dependency between two quantities with a range value , and +1 means a perfect correlation strength (Emerson 2015).  
Mean absolute error (MAE) It is the average absolute difference (magnitude) between two sets of data (Willmott & Matsuura 2005) range of , where 0 means no difference.  
Relative error (RE%) It is also known as the ‘Relative Bias in Percent’. The negative sign value means the satellite-estimated data are being underestimated, while the positive sign means the opposite (overestimated).  
Root mean square error (RMSE) It is a widely used statistical measure for correlation between two datasets. It measures the average error magnitude and has a range of , with zero means no difference (Willmott & Matsuura 2005 
Mean bias error (MBE) It is the average difference between two sets of data. It measures the total bias and has a range , with zero means no difference.  
Relative mean absolute error (RMAE) A variation of MAE that attempts to normalize the error by dividing it by the mean of the values (Kouadio et al. 2018). MAE/mean 
Relative root mean square error (RRMSE) A variation of RMSE that attempts to normalize the error by dividing it by the mean of values (Kouadio et al. 2018). RMSE/mean 
Relative mean bias error (RMBE) A variation of MBE that attempts to normalize the bias by dividing it by the mean of the actual values (Rincón et al. 2018). MBE/mean 
Figure 4

Scatterplot of daily rainfall in the north, middle and south cells from 2000 to 2013. (a) TRMM 3B42 and cell-averaged ground rainfall. (b) PERSIANN-CDR and cell-averaged ground rainfall.

Figure 4

Scatterplot of daily rainfall in the north, middle and south cells from 2000 to 2013. (a) TRMM 3B42 and cell-averaged ground rainfall. (b) PERSIANN-CDR and cell-averaged ground rainfall.

Close modal

The correlation between the ground-based data and satellite data on a daily basis is presented in Table 2. Because satellites measure rainfall by infrared and MW reflections from clouds and those measurements are sensitive to clouds' content of rain, it was decided to divide the rainfall depth into three, light (less than 5 mm/day), moderate (5–20 mm/day), and heavy (≥20 mm/day). On this basis, the ground-based north cell number of light, moderate, and heavy rainy days was 873, 304, and 58 days, respectively, of the total 1,235 rainy days. Similarly, in the middle cell, the number was 858, 204, and 60 of the total 1,122 rainy days. And, in the south cell, it was 446, 75, and 8 of the total 529 rainy days. For TRMM 3B42 satellite data, the north cell had 1,087, 89, and 59 light, moderate, and heavy rainy days, respectively, of the total 1,235 rainy days. The middle cell had 1,008, 84, and 30 of them, respectively, of the total 1,122 rainy days; and in the south cell, there were 502, 22, and 5 light, moderate, and heavy rainy days of the total 529 rainy days. For PERSIANN-CDR satellite data, the north cell light, moderate, and heavy rainy days were 1,098, 125, and 10 days, respectively, of the total of 1,233 rainy days; in the middle cell, they were 1,025, 89, and 7, respectively, of the total 1,121 rainy days and in the south cell, they were 501, 26, and 2 of the total 529 rainy days.

Table 2

The number of light, moderate, and heavy rainy days and the daily correlation measures of satellite data with ground-based ones for the three cells

SREGround-based
TRMM 3B42
PERSIANN-CDR
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Total no. of rainy days
No. of light rainy days
No. of moderate rainy days
No. of heavy rainy days 
1,235
873
304
58 
1,122
858
204
60 
529
446
75
1,235
1,087
(25%)
89
(−71%)
59(−1.7%) 
1,122
1,008
(17%)
84
(−59%)
30(−50%) 
529
502
(13%)
22
(71%)
5(−38%) 
1,233
1,098
(26%)
125
(−59%)
10(−80%) 
1,121
1,025
(19%)
89
(−56%)
7(−88%) 
529
501
(12%)
26
(−65%)
2(−75%) 
Mean (mm/day) 4.61 4.37 2.57 2.54 2.03 0.79 1.74 1.39 0.90 
Max (mm/day) 98.87 104.16 32.6 86.04 93.51 26.91 49.61 43.38 23.11 
RMSE (mm/day)    9.08 10.51 5.39 8.02 9.04 5.15 
RRMSE    3.57 5.18 6.82 4.61 6.5 5.72 
RE (%)    −44.97 −53.5 −69.35 −62.3 −68.2 −65.06 
CC    0.32 0.19 0.17 0.22 0.18 0.12 
MBE (mm/day)    −2.07 −2.33 −1.78 −2.87 −2.98 −1.67 
RMBE    −0.81 −1.15 −2.25 −1.65 −2.14 −1.86 
MAE (mm/day)    4.96 4.93 2.76 4.47 4.42 2.74 
RMAE    1.95 2.43 3.49 2.57 3.17 3.04 
SREGround-based
TRMM 3B42
PERSIANN-CDR
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Total no. of rainy days
No. of light rainy days
No. of moderate rainy days
No. of heavy rainy days 
1,235
873
304
58 
1,122
858
204
60 
529
446
75
1,235
1,087
(25%)
89
(−71%)
59(−1.7%) 
1,122
1,008
(17%)
84
(−59%)
30(−50%) 
529
502
(13%)
22
(71%)
5(−38%) 
1,233
1,098
(26%)
125
(−59%)
10(−80%) 
1,121
1,025
(19%)
89
(−56%)
7(−88%) 
529
501
(12%)
26
(−65%)
2(−75%) 
Mean (mm/day) 4.61 4.37 2.57 2.54 2.03 0.79 1.74 1.39 0.90 
Max (mm/day) 98.87 104.16 32.6 86.04 93.51 26.91 49.61 43.38 23.11 
RMSE (mm/day)    9.08 10.51 5.39 8.02 9.04 5.15 
RRMSE    3.57 5.18 6.82 4.61 6.5 5.72 
RE (%)    −44.97 −53.5 −69.35 −62.3 −68.2 −65.06 
CC    0.32 0.19 0.17 0.22 0.18 0.12 
MBE (mm/day)    −2.07 −2.33 −1.78 −2.87 −2.98 −1.67 
RMBE    −0.81 −1.15 −2.25 −1.65 −2.14 −1.86 
MAE (mm/day)    4.96 4.93 2.76 4.47 4.42 2.74 
RMAE    1.95 2.43 3.49 2.57 3.17 3.04 

Note: %Numbers in parenthesis represent the relative deviation or error of satellite data rainy days from ground-based ones.

Along with the above, Table 2 presents the comparison in percent relative deviation between the number of light, moderate, or heavy rainy days in satellite data and the ground-based data. On light rainy days, the deviation in the three cells varies between 13 and 25% in TRMM 3B42 data, and 13 and 26% in PERSIANN-CDR data; on moderate rainy days, it varies between −71 and −59% in TRMM 3B42 data and −65 and −56% in PERSIANN-CDR data; and in heavy rainy days, it varies between −1.7 and −50% in TRMM 3B42 data and −75 and −88% in PERSIANN-CDR data. Based on these numbers, it seems that the satellite's detection of light rainy days is more successful than moderate or heavy rainy days.

To compare the satellite rainfall depths with the ground-based ones, various correlation measures were calculated and presented in Table 2. In summary, the RMSE ranges between 5.39 and 9.08 mm/day for TRMM data and 5.15 and 8.02 mm/day for PERSIANN-CDR data. RE ranges between −62.3 and −68.2% for TRMM data and −44.97 and −69.35% for PERSIANN-CDR data. The CC ranges between 0.17 and 0.32 for TRMM data and 0.12 and 0.22 for PERSIANN-CDR data. MBE ranges between −1.78 and −2.07 mm/day for TRMM data and −1.67 and −2.87 mm/day for PERSIANN-CDR data. MAE ranges between 2.76 and 4.96 mm/day for TRMM data and 2.74 and 4.47 mm/day for PERSIANN-CDR data. Irrespective of other measures, the RE high value and the CC low value for both datasets indicate a low correlation with the ground-based data and a weak fit to a straight line between the two (Figure 4). Multiple studies have assured that the accuracy of the TRMM 3B42 and PERSIANN-CDR daily data is poor relative to other scales (Tan et al. 2015; Hamza et al. 2020).

Monthly comparisons

The monthly ground-based rainfalls in the study area were calculated for the 71 stations along with the 2 satellites' rainfall data. The results for north, middle, and south cells are shown in Figure 5. It was noticed that both satellite data follow the ground-based data trend very well; however, TRMM 3B43 data are closer than PERSIANN-CDR data to the ground-based data over the whole period.
Figure 5

Monthly rainfall data of the three datasets from January 2000 to December 2013, (a) north cell, (b) middle cell, and (c) south cell.

Figure 5

Monthly rainfall data of the three datasets from January 2000 to December 2013, (a) north cell, (b) middle cell, and (c) south cell.

Close modal

The correlation measures of the two monthly satellite datasets were calculated and presented in Table 3. The negative values mean that the satellite data are less than the ground-based ones. As noticed in the table, the RRMSE, RMBE, and RMAE measures of the TRMM data are lower than those of the PERSIANN-CDR data, and the CC is higher, which means the TRMM data fit the ground-based data better than PERSIANN-CDR data. The fitness of both datasets is good as reflected in the values of all correlation measures, particularly CC, which range between 0.83 and 0.95 for TRMM data and 0.69 and 0.88 for PERSIAN-CDR data. In comparison to the daily error measures in Table 2, the monthly data fitness is superior and can be considered multiple times better. To secondly confirm this superiority, the relative RMSE, MBE, and MAE (scaled to the mean) for monthly data were calculated too (Table 3) and they were found multiple times lower than those in the daily data in Table 2. As noted by CC values in Table 3, the fit to ground-based is better for north and south cells (0.95, 0.94, 0.87, and 0.88) than the south cell (0.83 and 0.69). This means that a better fit of satellite data to ground-based data is proportional to rainfall depth.

Table 3

Monthly validation statistics of the two rainfall estimates over three cells in Jordan from 2000 to 2013

SRETRMM 3B43
PERSIANN-CDR
Ground-based data
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Mean (mm/month) 39.20 34.34 10.73 26.34 21.29 10.17 45.1 38.86 10.79 
Max (mm/month) 190.36 158.72 56.09 180.7 79 65.91 270.85 209.33 80.65 
RMSE (mm/month) 20.39 19.32 9.41 40.92 36.93 11.78    
RRMSE 0.52 0.56 0.88 1.55 1.73 1.16    
RE (%) −13.07 −11.64 −0.54 −41.6 −45.2 −5.77    
CC 0.95 0.94 0.83 0.87 0.88 0.69    
MBE (mm/month) −5.90 −4.52 − 0.06 − 18.76 −17.57 −0.62    
RMBE −0.15 −0.13 −0.01 −0.71 −0.83 −0.06    
MAE (mm/month) 11.66 10.86 5.66 23.59 21.67 6.57    
RMAE 0.3 0.32 0.53 0.9 1.02 0.65    
SRETRMM 3B43
PERSIANN-CDR
Ground-based data
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Mean (mm/month) 39.20 34.34 10.73 26.34 21.29 10.17 45.1 38.86 10.79 
Max (mm/month) 190.36 158.72 56.09 180.7 79 65.91 270.85 209.33 80.65 
RMSE (mm/month) 20.39 19.32 9.41 40.92 36.93 11.78    
RRMSE 0.52 0.56 0.88 1.55 1.73 1.16    
RE (%) −13.07 −11.64 −0.54 −41.6 −45.2 −5.77    
CC 0.95 0.94 0.83 0.87 0.88 0.69    
MBE (mm/month) −5.90 −4.52 − 0.06 − 18.76 −17.57 −0.62    
RMBE −0.15 −0.13 −0.01 −0.71 −0.83 −0.06    
MAE (mm/month) 11.66 10.86 5.66 23.59 21.67 6.57    
RMAE 0.3 0.32 0.53 0.9 1.02 0.65    

Seasonal comparisons

Because rainfall varies appreciably in winter months in Jordan, the rainfall season was divided for correlation analysis into three periods, September, October, and November (SON), December, January, and February (DJF), and March, April, and May (MAM). Based on such division, the monthly precipitation in the 3 months was added and plotted in Figure 6, and the correlation measures were consequently calculated (Table 4). As noted in the table, CC of both satellite data has its highest values in the north cell (0.89, 0.86, and 0.94) and lowest values in the south cell (0.7, 0.81, and 0.92). These CC values are larger for TRMM data (0.89, 0.86, and 0.94) than for PERSSIAN-CDR data (0.83, 0.72, and 0.75) in the north cell. This result is true for other cells. Though it may not be true, it is observed that CC apparently increases when going from DJF to SON period. Those conclusions are true using other correlation measures. In summary, the monthly satellite data correlates well with ground-based ones, and the correlation increases in areas of high rainfall and during the SON rainfall periods.
Table 4

DJF, MAM, and SON validation statistics of the two rainfall estimates over three cells in Jordan from 2000 to 2013

CellSRESeasonMeanMaxRMSERE (%)CCMBEMAE
North Actual DJF 274.47 479.71      
MAM 75.15 190.58      
SON 43.73 91.35      
TRMM DJF 274.47 479.71 53.32 (0.19) −14.23 0.89 −39.06 (−0.14) 40.28 (0.15) 
MAM 59.48 134.22 33.17 (0.56) −20.85 0.86 −15.67 (−0.26) 25.97 (0.44) 
SON 51.07 103.08 11.64 (0.23) +16.79 0.94 7.34 (0.14) 9.388 (0.18) 
PERSIANN-CDR DJF 152.1 239.01 133.22 (0.88) −44.58 0.83 −122.37 (−0.8) 122.37 (0.8) 
MAM 48.29 98.8 48.4 (1.00) −35.74 0.72 −26.86 (−0.56) 38.35 (0.79) 
SON 35.79 74.15 18.3 (0.51) −18.16 0.75 −7.94 (−0.22) 15.90 (0.44) 
Middle Actual DJF 255.49 352.97      
MAM 56.61 128.44      
SON 32.79 116.57      
TRMM DJF 214.33 342.49 55.53 (0.26) −16.11 0.74 −41.16 (−0.19) 42.54 (0.2) 
MAM 55.58 106 19.53 (0.35) −1.82 0.88 −1.032 (−0.02) 16.32 (0.29) 
SON 38.24 108.34 13.77 (0.36) +16.63 0.90 5.45 (0.14) 11.44 (0.3) 
PERSIANN-CDR DJF 122.1 164.95 140.34 (1.15) −52.21 0.64 −133.39 (−1.09) 133.39 (1.09) 
MAM 39.6 76.24 34.45 (0.87) −30.05 0.65 −17.01 (−0.43) 27.04 (0.68) 
SON 30.79 80.09 15.59 (0.51) −6.11 0.89 −2 (−0.07) 10.86 (0.35) 
South Actual DJF 72.72 139.17      
MAM 16.77 43.67      
SON 6.68 23.09      
TRMM DJF 65.92 100.33 29.67 (0.45) −9.35 0.70 −6.80 (−0.1) 23.11 (0.35) 
MAM 21.74 42.07 8.24 (0.38) +29.66 0.81 4.97 (0.23) 6.39 (0.29) 
SON 9.52 29.84 4.25 (0.45) +42.6 0.92 2.85 (0.3) 3.21 (0.34) 
PERSIANN-CDR DJF 64.15 102.55 33.12 (0.52) −11.78 0.48 −8.57 (−0.13) 27.05 (0.42) 
MAM 15.02 45.99 4.55 (0.3) −10.46 0.93 −1.75 (−0.12) 3.75 (0.25) 
SON 10.59 24.37 5.57 (0.53) +58.66 0.83 3.92 (0.37) 4.88 (0.46) 
CellSRESeasonMeanMaxRMSERE (%)CCMBEMAE
North Actual DJF 274.47 479.71      
MAM 75.15 190.58      
SON 43.73 91.35      
TRMM DJF 274.47 479.71 53.32 (0.19) −14.23 0.89 −39.06 (−0.14) 40.28 (0.15) 
MAM 59.48 134.22 33.17 (0.56) −20.85 0.86 −15.67 (−0.26) 25.97 (0.44) 
SON 51.07 103.08 11.64 (0.23) +16.79 0.94 7.34 (0.14) 9.388 (0.18) 
PERSIANN-CDR DJF 152.1 239.01 133.22 (0.88) −44.58 0.83 −122.37 (−0.8) 122.37 (0.8) 
MAM 48.29 98.8 48.4 (1.00) −35.74 0.72 −26.86 (−0.56) 38.35 (0.79) 
SON 35.79 74.15 18.3 (0.51) −18.16 0.75 −7.94 (−0.22) 15.90 (0.44) 
Middle Actual DJF 255.49 352.97      
MAM 56.61 128.44      
SON 32.79 116.57      
TRMM DJF 214.33 342.49 55.53 (0.26) −16.11 0.74 −41.16 (−0.19) 42.54 (0.2) 
MAM 55.58 106 19.53 (0.35) −1.82 0.88 −1.032 (−0.02) 16.32 (0.29) 
SON 38.24 108.34 13.77 (0.36) +16.63 0.90 5.45 (0.14) 11.44 (0.3) 
PERSIANN-CDR DJF 122.1 164.95 140.34 (1.15) −52.21 0.64 −133.39 (−1.09) 133.39 (1.09) 
MAM 39.6 76.24 34.45 (0.87) −30.05 0.65 −17.01 (−0.43) 27.04 (0.68) 
SON 30.79 80.09 15.59 (0.51) −6.11 0.89 −2 (−0.07) 10.86 (0.35) 
South Actual DJF 72.72 139.17      
MAM 16.77 43.67      
SON 6.68 23.09      
TRMM DJF 65.92 100.33 29.67 (0.45) −9.35 0.70 −6.80 (−0.1) 23.11 (0.35) 
MAM 21.74 42.07 8.24 (0.38) +29.66 0.81 4.97 (0.23) 6.39 (0.29) 
SON 9.52 29.84 4.25 (0.45) +42.6 0.92 2.85 (0.3) 3.21 (0.34) 
PERSIANN-CDR DJF 64.15 102.55 33.12 (0.52) −11.78 0.48 −8.57 (−0.13) 27.05 (0.42) 
MAM 15.02 45.99 4.55 (0.3) −10.46 0.93 −1.75 (−0.12) 3.75 (0.25) 
SON 10.59 24.37 5.57 (0.53) +58.66 0.83 3.92 (0.37) 4.88 (0.46) 

Note: Numbers in parenthesis are the measure scaled to the mean.

Figure 6

Seasonal rainfall data of the three datasets from January 2000 to December 2013, (a) north cell, (b) middle cell, and (c) south cell. SON stands for September, October, and November, DJF stands for December, January and February, and MAM stands for March, April, and May.

Figure 6

Seasonal rainfall data of the three datasets from January 2000 to December 2013, (a) north cell, (b) middle cell, and (c) south cell. SON stands for September, October, and November, DJF stands for December, January and February, and MAM stands for March, April, and May.

Close modal

Annual comparisons

The annual rainfall of the ground-based and satellite data was plotted in Figure 7, and the correlation measures were calculated and presented in Table 5. The same conclusions obtained from the monthly data can be reached here. The TRMM data are more accurate to the ground-based data than PERSSIANN-CDR data and both satellite data in the north cell are more accurate than in the south cell.
Table 5

Annual validation statistics of the two rainfall estimates over three cells in Jordan from 2000 to 2013

SRETRMM
PERSIANN-CDR
Ground stations
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Mean(mm/year) 352.83 309.04 96.59 237.03 191.65 91.51 405.88 349.73 97.12 
Max(mm/year) 486.88 430.62 132.99 328.76 269.58 124.07 590.47 536.89 210.97 
RMSE (mm/year) 74.71 69.94 33.53 184.14 169.41 44.44    
RE (%) −13.07 −11.64 −0.54 −41.6 −45.2 −5.77    
CC 0.89 0.69 0.73 0.81 0.73 0.22    
MBE (mm/year) − 53.05 −40.69 −0.53 −168.86 −158.08 −5.61    
MAE (mm/year) 58.28 51.85 22.53 168.86 158.08 34.31    
SRETRMM
PERSIANN-CDR
Ground stations
CellNorthMiddleSouthNorthMiddleSouthNorthMiddleSouth
Mean(mm/year) 352.83 309.04 96.59 237.03 191.65 91.51 405.88 349.73 97.12 
Max(mm/year) 486.88 430.62 132.99 328.76 269.58 124.07 590.47 536.89 210.97 
RMSE (mm/year) 74.71 69.94 33.53 184.14 169.41 44.44    
RE (%) −13.07 −11.64 −0.54 −41.6 −45.2 −5.77    
CC 0.89 0.69 0.73 0.81 0.73 0.22    
MBE (mm/year) − 53.05 −40.69 −0.53 −168.86 −158.08 −5.61    
MAE (mm/year) 58.28 51.85 22.53 168.86 158.08 34.31    
Figure 7

Annual rainfall data of the three datasets from 2000 to 2013, (a) north cell, (b) middle cell, and (c) south cell.

Figure 7

Annual rainfall data of the three datasets from 2000 to 2013, (a) north cell, (b) middle cell, and (c) south cell.

Close modal

For the north cell, recognized for its significant rainfall, TRMM exhibits superior performance with a higher CC value of 0.89 compared to PERSIANN-CDR's 0.81. TRMM's lower RMSE, MBE, MAE, and RE% values demonstrate its enhanced accuracy in estimating heavy rainfall, possibly attributed to its advanced technology tailored for higher precipitation levels.

Conversely, within the middle cell characterized by moderate rainfall, TRMM displays less favorable performance compared to PERSIANN-CDR, indicated by its lower CC value of 0.69 in contrast to PERSIANN-CDR's 0.73. Higher RMSE and MBE values and slightly less favorable MAE and RE% further underscore TRMM's relatively reduced accuracy in estimating moderate rainfall. This performance discrepancy might be due to technological constraints affecting TRMM's precision in this specific precipitation range. In the south cell with the lowest rainfall, TRMM showcases more effective performance compared to PERSIANN-CDR. TRMM's higher CC value of 0.73 in contrast to PERSIANN-CDR's 0.22, along with lower RMSE, MBE, MAE, and RE% values, suggests TRMM's technological adeptness at detecting lower rainfall levels. This proficiency reflects its more precise estimations in lighter rain, emphasizing the technology's optimization for such conditions.

Summary

All correlation measures in various locations and periods were presented in a summary figure (Figure 8). Based on their values, the following can be noticed.
  • •  Both TRMM 3B42 and PERSIANN-CDR daily data are inaccurate when compared with the ground-based data of the three cells. As presented in Figure 7 the RRMSE varies between 3.57 and 6.82, RE between −44.97 and 69.35%, CC between 0.12 and 0.32, etc. The correlation increased appreciably for monthly data, RRMSE decreased multiple times (0.52–1.73), RE decreased appreciably and reached values like −0.54%, CC improved to high values like 0.95 and similarly, RMBE and RMAE decreased too. The convergence of statistical results (RMSE, MBE, and MAE) indicates that both products exhibit a similar level of error on a daily scale. After categorizing the number of rainy days as light, moderate, or heavy over each cell, we notice that the TRMM 3B42 indicated a closer number of rainy days than the PERSIANN-CDR in light and heavy cases. By contrast, the number of rainy days in PERSIANN-CDR was closer to the actual than in TRMM 3B42 in a moderate case.

  • •  Although the PERSIANN-CDR and TRMM 3B43 satellites showed good results at the monthly level, the performance of TRMM 3B43 was better than that of PERSIANN-CDR over three cells for monthly values. Also, the monthly values in TRMM 3B43 and PERSIANN-CDR were underestimated and followed the climatology of the ground stations well over the north and middle cells of the study period. However, the south cell fluctuated between overestimation and underestimation for the same period.

  • •  For the seasonal scale, TRMM 3B43 and PERSIANN-CDR are underestimated in the DJF season for the north and middle cells. During the SON season and over the same cells, TRMM 3B43 is also an overestimation. The results indicate that in the heavy rainy season (DJF), the TRMM3B43 gives better results (lower RMSE, MAE, and RE%) than the PERSIANN-CDR. But both products exhibited a level of error with different seasons. For annual studies, TRMM was found to have better results over the north and south cells than PERSIANN-CDR. For the middle cell, PERSIANN-CDR had a higher CC value than TRMM. But RMSE, RE, MBE, and MAE in PERSIANN-CDR were worse than TRMM.

Figure 8

The correlation values (CC, RMBE, RRMSE, RE, and RMAE) of the two satellite datasets at various locations and periods.

Figure 8

The correlation values (CC, RMBE, RRMSE, RE, and RMAE) of the two satellite datasets at various locations and periods.

Close modal

The research analyzed the precision of satellite data in detecting and measuring rainfall by comparing two products, TRMM and PERSIANN-CDR, with ground-based data across three distinct geographic areas. The results revealed that daily, both satellite products exhibited less accuracy and higher discrepancies with ground data, with a better ability to detect light rainfall compared to moderate or heavy rainfall. However, at the monthly level, both products showed good results, with TRMM 3B43 performing better than PERSIANN-CDR. Additionally, TRMM 3B43 was more effective in the heavy rainy season, while PERSIANN-CDR had a higher CC value in the middle cell.

The study concludes that satellite data may not be as dependable in detecting and measuring rainfall daily but can still be useful on other scales, with variations in accuracy depending on the specific satellite product and geographic area.

The study was limited by the lack of freely available dense ground observations. Including additional gauge observations would have enhanced the evaluation of rainfall in TRMM and PERSIANN-CDR sub-daily products within other cells. Moreover, future studies could evaluate the performance of other SREs, such as the GPM satellite-based rainfall dataset. Further research is needed to examine the ability of satellite-based rainfall products to simulate hydro-meteorological phenomena such as floods and droughts in Jordan.

These findings contribute significantly to the understanding of the accuracy and limitations of satellite-based rainfall estimation products in Jordan, particularly in critical cells. These findings can be used as a basis for future research to develop improved techniques for estimating rainfall using satellite data, which could provide valuable information for water resources management and disaster risk reduction in the region.

The authors of this paper are grateful to Jordan University of Science and Technology for their support fund.

Data cannot be made publicly available; readers should contact the corresponding author for details.

The authors declare there is no conflict.

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