Volume 3, Number 14, December 2022 e-ISSN: 2797-6068 and p-ISSN: 2777-0915
ANALYSIS OF SATELLITE
RAIN DATA USAGE
ON THE
RATIONALIZATION ACTIVITIES OF THE RAIN POST NETWORK (CASE STUDY: RATIONALIZATION OF THE JELAI WATERSHED RAIN POST NETWORK)
Ari Susanto, Wateno Oetomo,
Esti Wulandari
Universitas 17 Agustus 1945 Surabaya, Indonesia
Email: [email protected],
[email protected], [email protected]
KEYWORDS rainfall,
GPM, validation, Kagan |
ABSTRACT An alternative solution to the availability of inadequate rain data as
hydrological data input is with the help of Global Precipitation Measurement
(GPM) satellite rainfall data using remote sensing technology (satellite).
The purpose of this study was to find correlations and corrections of data
and validate GPM satellite data with rainfall data at rain stations and
observation data in the Jelai watershed. The corrected GP M rain data
validation results in Nash-Sutcliffe Efficiency (NSE), Root Mean Squared
Error (RMSE), Correlation Coefficient (R), and Relative Error (KR). The
validation results resulted in NSE values of 0.33, RMSE 48.54, Correlation
Coefficient (R) of 0.75, and Relative Error of 0.19 for 2019 and yielded NSE
values of -0.14, RMSE 100.24, Correlation Coefficient (R) of -0.36, and
Relative Error of 0.23 for 2020. The overall analysis shows that GPM data can
be used as an alternative to rain data if in a watershed there is a small
number of rain posts that do not meet the WMO criteria. As a suggestion for
further research, it is necessary to calibrate and validate by distinguishing
between rain data in wet years and dry years |
INTRODUCTION
Precipitation
data information is very important for various analysis of water resources.
Rainfall data can be temporal (time series) or spatial (Renaldhy et al., 2021). As one of the
important data in hydrological analysis, rainfall data is obtained from
measurements at the rain station post, so that the rainfall data obtained is
expected to have sufficient accuracy (Abdaa et al., 2021).
Rainfall data
in time series recording can provide trend information from the nature of rain
in a place whether it has increased or vice versa (Arrokhman et al., 2021). From this
description it can be said that rainfall data is quite important climatological
data. Accurate and timely regional and global precipitation observations and
forecasts are essential for a wide range of research and applications (Astuti et al., 2022).
In fact, to
obtain representative rainfall observation data that is both in terms of
quality and quantity or duration of observation data that is sufficient
according to the requirements is very difficult (Azka et al., 2018). It is difficult
to obtain rainfall data, due to the limited number of measuring instruments or
gauges, especially in remote areas, so it will be difficult to conduct a study
and analysis of water resources based on rainfall data in one place because not
all places have manual or automatic rainfall monitoring stations (Derin et al., 2016).
According to
Syaifullah, the latest technological developments, namely in the form of
satellite technology (remote sensing) are able to make breakthroughs in terms
of obtaining rainfall information (precipitation) because the current remote
sensing technology has been able to measure rainfall from a distance (Faisol & Bachri, 2021).
Areas that do not have adequate rain recording stations are almost impossible
to measure rainfall, but with this technology it is possible to obtain rainfall
data that is not limited in space and time, so that in simple terms it can be
said that with satellite technology rainfall data can be obtained at any time.
anywhere and anytime (Oktaverina et al., 2022).
On February
27, 2014, NASA and JAXA launched Global Precipitation Measurement (GPM) as a
successor to the TRMM satellite (Sarwanta & Abdulgani, 2021). The aim of this
satellite launch is to improve the quality of precipitation observations on a
global scale. GPM has a global coverage of 65o North Latitude to 65o South
Latitude with observations every 3 hours (Pangestu et al., 2021).
The GPM constellation can estimate the intensity and type of precipitation,
cloud structure in 3 dimensions, storm systems, microscopic ice and liquid in
clouds, and the amount of precipitation that falls on the earth's surface (Orfa & Samad, 2019).
However,
before the GPM satellite rain data can be used, it is necessary to evaluate
whether the rainfall data from the GPM satellite and from the existing rain
station post network will produce maximum information so that the amount of
rainfall can be obtained at all points with sufficient accuracy or even very
different (Tang et al., 2020). �In the Jelai River Basin with an area of 7,682
km2 there are three rain stations which are within the DAS (Prabawadhani et al., 2016).
This study
will examine how the correlation of postal rainfall station data with satellite
rainfall data. After obtaining the corrected GPM satellite data, it will then
be used to make an annual rainfall isohyet map with the location/network of
rainfall posts based on the Kagan Method (Suryaningtyas, 2019).
RESEARCH METHOD
Consistency
Test
A data consistency test was carried out to
find out whether there are deviations in the available rainfall data, so that
it can be seen whether the data is suitable for use in further hydrological
analysis or not. In this study, 2 (two) methods were carried out, namely (1)
multiple mass curves; (2) Rescaled Adjusted Partial Sums (RAPS).
Homogeneity
Test
A series of hydrological data presented
chronologically as a function at the same time is called a periodic series. The
data is arranged in a series of periodic forms, so that it must be tested
before being used for further analysis. The intended data tests are: (1) Test
for the Absence of Trend; (2) Stationary Test; (3) Persistence Test. The three
stages of testing are often referred to as data filtering.
GPM
Rainfall Data Validation Test
For validation tests, the Nash-Sutcliffe
Efficiency (NSE), Correlation coefficient (R), Root Mean Squared Error (RMSE)
and Relative Error (RE) methods are used. Two validation analyzes were carried
out, namely validation of GPM data that had not been corrected and validation
of GPM data that had been corrected.
Uncorrected GPM data validation using
uncorrected GPM and rain station rainfall data. The period used is monthly with
a data length of 11 years.
As for the validation of the corrected
TRMM data, a number of processes are carried out first, namely calibration,
verification and validation. Calibration and verification using the scatter
plot method. For calibration, a monthly period is used with a data length of 11
years (2007 and 2009-2018). While the verification and validation tests use a
monthly period with a data length of 2 years (2019-2020) excluding the
calibration year.
The validation method formula used in this study is:
1) ������� Nash-Sutcliffe
Efficiency (NSE)
This method shows how well it plots the
observed (measurement) values compared to the simulated-predicted values,
according to the 1:1 line, with a range of values ∞ to 1. In other words,
the closer to 1, the better the NSE value.
With:
Xi ������ =
observation data (actual data)
Yi ������ = estimated
data (estimated yield data)
Xi ������ = average
observation data
N ������� = amount of
data
Table 1
Nash-Sutcliffe Efficiency (NSE) Score Criteria
2) ������� Correlation
Coefficient
The purpose of this analysis is to obtain
patterns and close relationships between two or more variables.
With:
Xi ������ =
observation data (actual data)
Yi ������ = estimated
data (estimated yield data)
N ������� = amount of
data
Table 2.2 Correlation Coefficient Value Criteria
3) ������� Root Mean
Squared Error (RMSE)
With:
Xi ������ =
observation data (actual data)
Yi ������ = estimated
data (estimated yield data)
N ������� = amount of
data
4) ������� Relative
Error Test
This test is used to determine the
comparison between the magnitude of one variable to another variable that is
used as a benchmark for the actual variable.
With:
Xi ������ =
observation data (actual data)
Yi ������ = estimated
data (estimated yield data)
N ������� = amount of
data
Thiessen Polygon Method
This method is used to calculate the
area's average rainfall, where in a watershed there are several rain posts.
Kagan's method
With the Kagan method, the ideal distance
between the locations of the automatic rain posts and the distribution of the
locations of the automatic rain posts can be identified.
Isohyet Map
After the distribution of rainfall
stations is known based on the Kagan Method, an Isohyet Map will be made in the
Jelai watershed based on the rainfall data and the
corrected GPM satellite rain data, so that comparisons/differences can be
identified.
RESULTS AND DISCUSSION
Consistency
Test
Figure
1
The
Double Mass Curve of the Eye Sweet Rain Post, the Nibung
Island Rain Post and the Pasir River Rain Post
Table
2
Recapitulation of α values at each rain station post
No |
Rain Station Post |
Marka |
R value 2 |
1 |
Sweet
Eyes |
44.46
o |
0.9335 |
2 |
Nibung Island |
48.70o
_ |
0.9889 |
3 |
Sand
River |
43.89o
_ |
0.9295 |
Source:
Analysis results, 2022
Figure
2
�Grid-48, Grid-78 and Grid-90 Multiple Mass
Curves
Table
Error! No text of specified style in
document.
Recapitulation of α values in each gris (GPM data)
No |
Grid Number |
Marka |
R value 2 |
1 |
Grid-48 |
47.32o
_ |
0.9990 |
2 |
Grid-78 |
44.39
o |
0.9988 |
3 |
Grid-90 |
43.22o
_ |
0.9996 |
Source:
Analysis results, 2022
Information:
Grid-48
�GPM grid
that corresponds to the location of the Sweet Rain Eye Post
Grid-78
�GPM grid
corresponding to the location of the Nibung Island
Rain Post
Grid-90
�grid GPM
which corresponds to the location of the Pasir Sungai
Rain Post
Table
4
Recapitulation of Consistency Test Results
No |
Name |
Curve
Method |
RAPS
method |
Ket. |
|||
Post |
Double
Mass |
||||||
|
Corner |
Q/n
0.5 count |
Q/n
0.5 table |
R/n
0.5 count |
R/n
0.5 table |
||
1 |
Sweet
Eyes |
44,46 |
0.413 |
1.172 |
0.778 |
1,340 |
Consistent |
2 |
Nibung Island |
48,70 |
0.731 |
1.116 |
1,080 |
1.235 |
Consistent |
3 |
Sand
River |
43.89 |
0.505 |
1.116 |
0.947 |
1.235 |
Consistent |
4 |
Grid-48 |
47,32 |
0.577 |
1.172 |
0.888 |
1,340 |
Consistent |
5 |
Grid-78 |
44,39 |
0.412 |
1.172 |
0.787 |
1,340 |
Consistent |
6 |
Grid-90 |
43,22 |
0.628 |
1.172 |
0.993 |
1,340 |
Consistent |
Source:
Analysis results, 2022
Based on Figure 1 and Figure 2 as well as Table 1 and
Table 2, it can be said that the post rainfall data of the rain station and the
GPM data used after being tested using the Multiple Mass Curve Method are
consistent because the resulting angles are in the range of values 42o <
α < 48o .
Meanwhile, based on Table 3, the rainfall data consistency test using the RAPS
method also meets the test requirements because the Q count <Q table
and R count <R table so that the results can be
considered consistent.
The results of this test indicate that the selected
data can be used for further hydrological testing and analysis.
Homogeneity
Test
In this study, the annual
rainfall data of rainfall stations were tested for no trend using the Spearman
method using a 2-tailed T-Test. Recapitulation of test results is presented as
follows.
Table
5
Summary of Absence Test Results for Annual Period
No |
Post
Name |
t
count |
a |
t
c |
Information |
1 |
Sweet Eyes |
-1,582 |
5% |
2,179 |
Does
not show a trend |
2 |
Nibung Island |
-2,840 |
5% |
2,571 |
Does
not show a trend |
3 |
Sand River |
-1.419 |
5% |
2,571 |
Does
not show a trend |
4 |
GPM Grid-48 |
0.206 |
5% |
2,179 |
Does
not show a trend |
5 |
GPM Grid-78 |
0.175 |
5% |
2,179 |
Does
not show a trend |
6 |
GPM Grid-90 |
0.659 |
5% |
2,179 |
Does
not show a trend |
Source:
Analysis results, 2022
Based on Table 5 it can be seen
that all data does not show a trend by showing t count <t table
at the 5% confidence level. Thus, the data can be analyzed further.
Table
6
Summary of Variance Stability Test Results (Test F)
Annual Period
No |
Post
Name |
F
count |
a |
Fc
_ |
Information |
1 |
Sweet
Eyes |
1.013 |
5% |
4,280 |
The
variance value is stable |
2 |
Nibung Island |
0.095 |
5% |
19,160 |
The
variance value is stable |
3 |
Sand
River |
0.496 |
5% |
19,160 |
The
variance value is stable |
4 |
Grid-48 |
1,638 |
5% |
3,410 |
The
variance value is stable |
5 |
Grid-78 |
0.743 |
5% |
3,410 |
The
variance value is stable |
6 |
Grid-90 |
1,339 |
5% |
3,410 |
The
variance value is stable |
Source:
Analysis results, 2022
Table
7
Summary of Average Stability Test Results (t test) Annual
Period
No |
Post
Name |
t
count |
a |
t
c |
Information |
1 |
Sweet
Eyes |
-0.400 |
5% |
2,179 |
The
average value is stable |
2 |
Nibung Island |
-1,713 |
5% |
2,571 |
The
average value is stable |
3 |
Sand
River |
-2,407 |
5% |
2,571 |
The
average value is stable |
4 |
Grid-48 |
0.216 |
5% |
2,179 |
The
average value is stable |
5 |
Grid-78 |
0.328 |
5% |
2,179 |
The
average value is stable |
6 |
Grid-90 |
0.363 |
5% |
2,179 |
The
average value is stable |
Source:
Analysis results, 2022
From Table 6 and Table 7 above it
can be seen that the calculated F value < F table value
and the t calculated value < t table value , so it can
be concluded that the rainfall data from the three rain station posts and the
GPM rainfall data used have variance and average stable average. The
persistence test is an independent test for each value in the periodic series.
First, the number of serial correlation coefficients must be calculated using
the Spearman method, then the persistence test is calculated using the T-Test.
Recapitulation of test results is presented as follows.
Table
8
Summary of Annual Period Persistence Test Results
No |
Post
Name |
t
count |
a |
t
c |
Information |
1 |
Sweet
Eyes |
0.492 |
5% |
2,179 |
Data
is random |
2 |
Nibung Island |
1.116 |
5% |
2,571 |
Data
is random |
3 |
Sand
River |
1.007 |
5% |
2,571 |
Data
is random |
4 |
Grid-48 |
-0.038 |
5% |
2,179 |
Data
is random |
5 |
Grid-78 |
-0.437 |
5% |
2,179 |
Data
is random |
6 |
Grid-90 |
0.099 |
5% |
2,179 |
Data
is random |
Source:
Analysis results, 2022
Table 8 it can be seen that almost all of the data is random by showing tcount
<ttable at the 5% level of confidence. Thus, the data can be analyzed
further.
Table
9
Recapitulation of Correlation Results for Annual,
Monthly, and Monthly Average Data
Source:
Analysis results, 2022
Table 9 and Table 10 show the
results of the regression equation and the resulting coefficient of
determination (R 2 ). From the regression equation that has been
obtained to obtain the corrected GPM rain data, then the regression equation
with the largest R value is used. The results of the GPM rainfall regression
equation in the Jelai watershed with R� = 0.6120 with the intercept linear
equation (when using monthly rainfall data) and R 2 = 0.9788 with
the intercept linear equation (when using monthly average rainfall data).
Because the value of R2 with monthly average data is greater than
using monthly data, then to correct the GPM rain data use the equation: y =
0.4762x.
Table
10
Tabulation of GPM Monthly Rainfall Regression Equation
Results in Jelai Watershed
No |
Regression Equation |
�y� value |
Value �R 2 � |
1 |
linear |
y =
0.3796x + 27.555 |
0.1625 |
2 |
Linear Intercepts |
y =
0.4684x |
0.6120 |
3 |
Logarithmic |
y =
65.631ln(x) � 228.26 |
0.1609 |
4 |
Polynomial |
y =
-0.0007x 2 + 0.744x - 9.1964 |
0.1730 |
5 |
Polynomial
Intercept |
y =
-0.0006x2 + 0.6746x |
0.1728 |
6 |
rank |
- |
- |
Source:
Analysis results, 2022
Table
11
Tabulation of GPM Monthly Mean Rainfall Regression
Equation Results in Jelai Watershed
No |
Regression Equation |
�y� value |
Value �R 2 � |
1 |
linear |
y =
0.3464x + 35.98 |
0.7580 |
2 |
Linear
Intercepts |
y =
0.4762x |
0.9788 |
3 |
Logarithmic |
y =
73.743ln(x) � 280.32 |
0.6869 |
4 |
Polynomial |
y =
0.0012x 2 � 0.2393x + 99.385 |
0.8025 |
5 |
Polynomial
Intercept |
y =
-0.0005x2 + 0.6175x |
0.7214 |
6 |
rank |
y =
4.0806x 0.6167 |
0.7341 |
Source:
Analysis results, 2022
For verification, rain data for
2019 and 2020 was used. The following is a graph of rain data for 2019 and 2020
for the Sweet Rain Post and the corrected GPM data (grid-48).
Figure
Error! No text of specified style in
document.
Graph of Corrected GPM Rainfall in 2019 and 2020
Source:
Analysis results, 2022
Figure
3
��GPM Rainfall
Verification for 2019 and 2020
Based on Figure 3 and Figure 4 it
can be seen that for 2019 it produces a greater correlation value than in 2020.
Validation is carried out on data
outside of the data used for calibration (2019 and 2020). To be able to measure
the magnitude of the difference in the results of corrected GPM rainfall
calculations against postal rainfall data, a mathematical model validation test
can be used using Nash Sutcliffe Efficiency (NSE), Root Mean Square
Error (RMSE), Correlation Coefficient, and Relative Error. The smaller the
RMSE value, the closer the simulated data is to the observed data, conversely
the greater the NSE value (maximum equal to 1), the closer the simulation
results to the observations.
Table
12
GPM Data Validation Test Recapitulation Before and After
Correction
2019 year |
2020 year |
||||
|
Before |
After |
|
Before |
After |
NSE |
-3.61 |
0.33 |
NSE |
-2.31 |
-0.14 |
RMSE |
127,26 |
48,54 |
RMSE |
170.38 |
100.24 |
KR |
-0.70 |
0.19 |
KR |
-0.61 |
0.23 |
R |
0.75 |
0.75 |
R |
-0.36 |
-0.36 |
Source:
Analysis results, 2022
Based on the results of Table 12,
it is known that the results of the corrected GPM data are better than before
being corrected. The validation results in 2019 were better than in 2020. Thus
the other grid GPM data will be corrected using the equation y = 0.4762x.
Based on several ways of
determining existing rainfall postal networks, Kagan's method is relatively
simple, both in terms of understanding and calculation procedures. Besides
being able to produce the required number of posts with a certain level of accuracy,
the Kagan method can also provide a clear pattern of placement of rainfall
posts. Based on the WMO criteria, it is known that with the condition of the
plains and the area of the Jelai watershed 7,682 km 2 , a minimum of
9 automatic rain posts and a maximum of 13 automatic rain posts are needed.
Using the Kagan formula (l =
Source:
Analysis results, 2022
Figure
4
�Kagan
Triangle For Number of Rain Post 9 Units
Source:
Analysis results, 2022
Figure
5
��Kagan Triangle For Rain Post Number 13 Units
Regional average rainfall analysis
or regional rainfall analysis in this study was carried out on postal rain data
and corrected GPM data. Regional rainfall analysis in this study uses the
Thiessen polygon method, which in principle is to create an area of influence
for each rain station post on the watershed area under review.
Source:
Analysis results, 2022
Figure
6
��Thiessen Polygon
Existing Rain Post
Source:
Analysis results, 2022
Figure
7
��Thiessen Polygon 9 Recommended
Rain Post
Source:
Analysis results, 2022
Figure
8
��Thiessen Polygon 13
Recommended Rain Posts
Table 13
Rain Region With Rain Post Data
Source: Analysis
results, 2022
Table 14
Regional Rain with GPM Data 9 Kagan Recommendation Posts
Source: Analysis
results, 2022
Table 15
Regional Rain with GPM Data 13 Kagan Recommendation Posts
Source:
Analysis results, 2022
Based on Tables 13 to 15 it can
be seen that the rainfall in areas with postal rain data is greater than using
corrected GPM rain data.
Isohyet is a line on the map to
connect positions that have the same rainfall value. The following isohyet map
based on rain post data and corrected GPM rain data (with rain post locations
according to Kagan's recommendations).
Source:
Analysis results, 2022
Figure
10
��Map of Annual Average Rainfall Isohyet Rain Post Data
Source:
Analysis results, 2022
Figure
9
��Map of Annual Average
Rainfall Isohyet GPM Data 9 Pos
Source:
Analysis results, 2022
CONCLUSION
The results of the correlation
analysis of GPM satellite rainfall data and rainfall data from the rain station
post have good results when using annual rainfall data and monthly average rainfall
data. The results of the validation of rainfall data for the Manis Mata station
post with the GPM show that the results of the corrected data validation have
better results than the GPM data before being corrected. The validation for
2019 is better than for 2020. This shows that the validation of rain data does
not always produce good results for all validation years, and further research
is needed regarding the validation of rain data which are included in the
category of wet years and dry years.
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Copyright holders:
Ari Susanto, Wateno Oetomo, Esti Wulandari (2022)
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Devotion - Journal of Research and Community Service
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