2.3.1 Drought Indices
Table 2
The summary of vegetation and drought indices.
Product
|
Data Used
|
Spatial Resolution
|
Temporal Resolution
|
Formula
|
LST
|
MOD11A2
|
1*1 km
|
8-day
|
\(\:LST=DN\times\:0.02-273.15\)
|
EVI
|
MCD43A4
|
463.313m
|
16-Day
|
\(\:EVI=2.5\text{*}\frac{NIR-Red}{(NIR+C1\text{*}Red-C2\text{*}BLUE+L)}\)
|
SPI
|
CHIRPS precipitation
|
0.05°×0.05°
|
Monthly
|
\(\:=\frac{X-Xm}{\sigma\:}\)
|
SPEI
|
CSIC/SPEI/2_8
|
0.5°
|
Monthly
|
\(\:SPEI=W-\frac{c0+\text{c}1\text{W}+\text{c}2{W}^{2}}{1+d1W+d2{W}^{2}+d3{W}^{3}}\)
|
KBDI
|
WTLAB/KBDI/v1
|
4*4km
|
Daily
|
\(\:\text{K}\text{B}\text{D}\text{I}=\text{Q}+\frac{\left(800-Q\right).\left(0.968.{e}^{0.0486.T\:}-8.30\right).\varDelta\:t}{1+10.88.{e}^{0.0486.T\:}}\:.\:{10}^{-3}\)
|
Summary of the vegetation and drought indices is given in the Table 2 along with the formula of each index. Spatial and temporal resolution of indices are different as mentioned in the table.
The Enhanced Vegetation Index (EVI) is one of the most commonly used RS indexes for estimating vegetation cover. It is measured using the reflectance values of near-infrared (NIR), red, and blue light from the Earth's surface [16]. In this study area, research was conducted on the MODIS/MCD43A4 surface reflectance variables on Google Earth Engine (GEE) using EVI. Its ranges typically remain from − 1.0 to 1.0, and higher values show more vegetation. By combining the blue band into the calculation, EVI is less sensitive to atmospheric effects, and its ability to differentiate variations in vegetation cover is improved.
$$\:EVI=2.5\text{*}\frac{NIR-Red}{(NIR+C1\text{*}Red-C2\text{*}BLUE+L)}$$
1
LST is an essential parameter for observing the surface temperature of the Earth and its variations over time. For LST on GEE, the MODIS/061/MOD11A2 dataset was used in the study area giving an average of 8-day 1x1 km LST products.
$$\:LST=DN\times\:0.02-273.15$$
2
ML algorithms find associations and patterns in data, permitting software to recover its performance over time [17]. The standardized precipitation index (SPI) is widely used to characterize agricultural drought across different timescales [18]. SPI was computed in the study area of Ningxia by using CHIRPS precipitation data. The script was accomplished through GEE, and the work was split into SPI (SPI-1, SPI-3, SPI-6, SPI-9, and SPI-12) calculations. The first calculation was based on the "common" SPI, computed on an n-month basis. A SPI computed on one month would then be referred to as "SPI-1", on six months, "SPI-6," and so on [19]. The second SPI was computed based on dates of MODIS captures to illustrate changes in precipitation and thus in how the Earth's precipitation is affected by the changes of climate that the globe is currently undergoing [20]. SPI classification category is given in Table 3.
$$\:SPI=\:-\left(t-\:\frac{{c}_{0}+{c}_{1}t+{c}_{2}{t}^{2}}{1+{d}_{1}t+{d}_{2}{t}^{2}+{d}_{3}{t}^{3}}\right)$$
3
Table 3
lists SPI Classification [21]
SPI Category
|
Value
|
Less than − 2
|
Extremely dry
|
Between − 1.5 & -2
|
Severely dry
|
Between − 1 & -1.5
|
Dry
|
Between − 0.5 & -1
|
Moderately dry
|
Between 0.5 & -0.5
|
Normal
|
Between 0.5 & 1
|
Wet
|
Between 1 & 1.5
|
Moderately wet
|
Between 1.5 & 2
|
Severely wet
|
More than 2
|
Extremely wet
|
SPEI is an index based on precipitation and evapotranspiration data, recognized as the Standardised Precipitation Evapotranspiration Index (SPEI) [22], used for the study area, Ningxia. The CSIC/SPEI dataset gives global SPEI data for the entire Earth at a spatial resolution of 0.5º [23]. A 1-month, 3-month, 6-month, 9-month, and 24-month monitoring was done in the study area, Ningxia. The dataset monitored drought fluctuations (wet and dry spells) from 2003 to 2023 in the study area. Different categories of SPEI are classified as discussed in Table 4.
$$\:SPEI=W-\frac{{c}_{0}+{c}_{1}\text{W}+{c}_{2}{W}^{2}}{1+{d}_{1}W+{d}_{2}{W}^{2}+{d}_{3}{W}^{3}}$$
4
Where:
\(\:W=\:\sqrt{-2\text{ln}\left(P\right)\:\:}\) for P ≤ 0.5 (5)
P = probability of exceeding a determined D value, \(\:p=1-f\left(x\right);\) When P > 0.5, \(\:p=1-P,\) constants are:
\(\:{c}_{0}\:=\:2.515517\)
|
\(\:{d}_{1}\:=\:1.432788\)
|
\(\:\:{c}_{1}\:=\:0.802853\)
|
\(\:{d}_{2}\:=\:0.189269\)
|
\(\:\:{c}_{2}=\:0.010328\)
|
\(\:{d}_{3}=\:0.001308\)
|
Table 4. SPEI Classification (Fu et al. 2022).
SPEI Category
|
Value
|
Extremely wet
|
More than 2.00
|
Very wet
|
1.50 to 1.99
|
Moderately wet
|
1.00 to 1.49
|
Near Normal
|
-0.99 to 0.99
|
Moderately dry
|
-1.00 to -1.49
|
Severely dry
|
-1.50 to -1.99
|
Extremely dry
|
Less than − 2.00
|
Daily maximum temperature and precipitation measurements determine the Keetch-Byram drought index (KBDI) that bears on evapotranspiration [24]. The daily maximum temperature enables calculating the amount of water evaporated from the soil surface evaporative demand and total precipitation, from which KBDI, the soil moisture deficit, and the amount needed to bring a site's soil moisture to field capacity can be determined. The UTOKYO/WTLAB/KBDI/v1 dataset, which provides a continuous reference scale that divides the moisture regime of the soil and duff layers into eight classes from 0.0 (no moisture deficit) to 800.0 (extreme drought) by the cumulative drying that occurs during each day of no rain (Table 5), the rate of which, in turn, depends on the daily highs [25]. KBDI values provide a relative measure of soil moisture and fire risk, making them valuable indicators in assessing the impact of drought on potential wildfire hazards.
Table 5
Lists KBDI Classification [26].
KBDI Value
|
Category
|
0 to 200
|
Indicates high soil moisture, suggesting a lower risk of wildfire in the presence of ample water content.
|
200 to 400
|
It represents moderate soil moisture, signifying a moderate wildfire risk, especially in regions experiencing drought.
|
400 to 600
|
Reflects low soil moisture, indicating an elevated wildfire risk, particularly in drought areas.
|
600 to 800
|
It signifies deficient soil moisture, highlighting an extreme wildfire risk, particularly in regions undergoing severe drought.
|
$$\:\text{K}\text{B}\text{D}\text{I}\:=\text{Q}+\frac{\left(800-Q\right).\left(0.968.{e}^{0.0486.T\:}-8.30\right).\varDelta\:t}{1+10.88.{e}^{0.0486.T\:}}\:.\:{10}^{-3}$$
6
Q, which represents the previous day's KBDI adjusted by the net rainfall in inches per hundred (cf. details below); T, the air temperature in degrees Fahrenheit; Δt, the time increase (typically one day); and P, signifying the mean annual precipitation in inches.
$$\:Q={KBDI}_{t-1\:}-\:\text{P}{net}_{t}\:.\:100$$
7
$$\:\text{P}{net}_{t}=\text{m}\text{a}\text{x}[0,{P}_{t\:}-\text{m}\text{a}\text{x}(0,{P}_{\text{l}\text{i}\text{m}\:}-{\sum\:}_{i=1}^{rr-1}{P}_{\text{t}-\text{i}\:})$$
8
With "rr" denoting the count of consecutive days on which rain has occurred.
The agricultural drought disaster model summary using the machine learning model (MLM) is in Table 6. Various MLMs are used for drought prediction, depending on the available data. For example, meteorological data and a combination of CART and SVM models are used to predict SPEI annually. In contrast, CART Cubist models can use MODIS data to predict SPI on a seasonal basis, including early, growing, middle, and late seasons. LSTM models can predict SPEI for up to 12 months based on soil moisture, LST, ET, EVI, and precipitation [27].
Table 6
lists the Agricultural drought prediction summary using machine learning models (MLMs).
Model
|
Data type
|
Forecaster variables
|
Response variable
|
Predicting lead time
|
Outcome
|
CART and SVM
|
MODIS
|
EVI, NDVI, LST
|
SPEI
|
Seasonal
|
Increased drought area prediction
|
SVM
|
Meteorological data
|
Slope, aspect, elevation, annual precipitation
|
SPI
|
-
|
Agricultural drought prediction
|
Cubist
|
MODIS, TRMM and climate data
|
EVI, LST
|
SPI
|
Seasonal
|
Severe Drought Index Mapping
|
SVM
|
Soil Moisture
|
LST, ET, EVI, precipitation
|
SPEI and crop yield
|
12-months
|
Drought severity distribution maps
|
2.3.2 Change Evaluation and Future Prediction using SPI and SPEI
In this study, the MOLUSCE plugin in QGIS was employed to simulate the SPI and SPEI change between their classes (extremely dry, severely dry, moderately dry, normal, and wet) and estimate spatiotemporal changes of drought for the periods 2003 to 2023. SPI (SPI-1, SPI-3, SPI-6, SPI-9, and SPI-12) and SPEI (SPEI-1, SPEI-3, SPEI-6, SPEI-9, and SPEI-12) maps of each year were produced. The 2003 and 2023 drought (SPI and SPEI) created area variation and transition probability matrixes. The artificial neural network (ANN) multilayer perception strategy was implemented. Precipitation, temperature, and PET were taken as the determinant factors for future drought variation prediction. In drought change analysis and prediction, these variables are frequently used because they deliver verifiable information on the effect of anthropogenic and natural factors on SPI and SPEI variations.