2.1. Description of Study Area
The SASB, extending approximately from 23 to 31° S and 28 to 32.5° E, is characterised by diverse land use types and livelihoods, including vegetation, water bodies, and crop and livestock production. Within this region, large-scale and small-scale sugarcane farmers primarily grow sugarcane for sugar production. This critical agricultural region is highly vulnerable to climate variability and change, which reduces water availability and consequently impacts annual sugarcane yields [
16]. The southern African vegetation fraction drops from east–west following rainfall characteristics [
24]. In the study area, the Normalised Difference Vegetation Index (NDVI) spectrum ranges between 0.2 and 0.8, but vegetation fraction equal to or greater than 0.6 is predominant [
16]. As shown in
Figure 1a, monthly mean precipitation over the SASB can reach up to 100 mm/month. A notable spatial difference can be observed, with the irrigated region (e.g., 26.8° S and 31.5° E) appearing wetter than the dryland region (e.g., 30.5° S and 30.9° E) from December to May. This may be partially attributed to rainfall-bearing mechanisms such as tropical cyclogenesis, active over the Mozambique Channel. Despite these heterogeneous seasonal rainfall characteristics between the dryland and irrigated regions of the SASB, the cloud cover fraction (CCF) remains uniform (50%) across the area (
Figure 1a,b). A high CCF (50%) was observed over the east coast of South Africa, while a steady decrease was observed from east–west in South Africa (
Figure 1b). These meteorological conditions favour sugarcane cultivation, especially in the lowland regions of the country. The top sugarcane-producing provinces in South Africa are KwaZulu-Natal (KZN) and Mpumalanga. However, parts of other provinces (e.g., Limpopo and Eastern Cape) with CCFs of 50% also have minimal contributions towards annual sugarcane yield in the country.
The SASB is also characterised by strong temperature gradients of maximum (Tmax) and minimum (Tmin) temperatures from the coast moving inland (
Figure 1c,d). During December to May the irrigated region of the SASB records high Tmax and Tmin values, averaging 30 °C and 18 °C, respectively. For the broader study area, the mean Tmax is 25 °C while the mean Tmin is 15°C in the study area from December to May (
Figure 1c,d). Although the irrigated region receives sufficient monthly rainfall (100 mm/month;
Figure 1a), scorching surface temperatures could accelerate potential evapotranspiration. In contrast, the inland advancement of the sea-breeze and onshore flow bring cool weather conditions in parts of the dryland region, especially Mount Edgecombe, Greater Durban, KZN.
2.2. Data and Methods
Climate Hazards group InfraRed Precipitation with Stations (CHIRPS) is a recent high-resolution (0.05°) rainfall dataset that is almost globally available since it covers 50° N to 50° S and across all longitudes [
25]. The CHIRPS dataset is particularly suitable for monitoring global climate change and agricultural drought over land [
25]. In this study, the CHIRPS rainfall dataset was employed to characterise the mean climate of the study area and for the detection of observed rainfall trends. The Climatic Research Unit gridded Time Series (CRU TS4.08) [
26], was used for CCF (%) and temperature analyses (e.g., mean temperatures, Tmax, and Tmin). Surface water levels (SWLs) for the Klipfontein and Nooigedacht Dams were obtained from South African National Department of Water and Sanitation. In this study, 19 GCMs of CMIP6 were locally downscaled to project future climate change and its socioeconomic consequences through innovative and nonparametric trend detection techniques over the SASB.
Table 1 below provides details of the GCMs of CMIP6 used in this study. Some of these models were previously used in Africa and elsewhere [
5,
27,
28]. We employed statistical downscaling, which is a robust technique used to assess the relationship between large- and local-scale climate parameters [
28]. This technique also allows for the downscaling of GCM projections to local or regional scales, e.g., the SASB in this case. Both the observed and simulated data for rainfall and temperature were derived from the Royal Netherlands Meteorological Institute (KNMI) Climate Explorer.
Future climate change was projected using representative low and high Shared Socioeconomic Pathways (SSPs; SSP2–4.5 and SSP5–8.5). This was imperative in the quest for Climate Action (Sustainable Development Goal [SDG] 13) in the SASB. Like other hydroclimatic fields, SSP2–4.5 and SSP5–8.5 were accessed through the KNMI Climate Explorer for the periods 1980–2022, 2025–2050, and 2050–2080. An 18-month low-pass filter was applied to the mean ensemble of these 19 GCMs of CMIP6 in order to remove seasonal cycles [
29]. Specific details about the GCMs used in this study are available on the CMIP6 webpage (
https://wcrp-cmip.org/cmip-model-and-experiment-documentation/#models (accessed on 12 March 2025)). We evaluated the relationship between the observed and projected rainfall, while both surface air temperature and rainfall were considered for trend detection, which was a focus of this study. Our study area (dryland and irrigated regions of the SASB) is partially gauged with hydrological stations, which do not measure meteorological components. For model performance evaluation, we used rainfall measurements from station-based (Global Precipitation Climatology Centre version 8 [GPCC8]), CRU TS4, and satellite products (CHIRPS). Due to sparse meteorological observations in our study area, we used PGCC8, CRU TS4, and CHIRPS data as “targets” for prediction. However, the model outputs from PGCC8 and CRU TS4 were statistically insignificant and not reported in this study. Additionally, since observed and projected rainfall had different units of measurement, both were expressed as novel standardised MAP values (see
Figure A1). In addition, Multivariate Linear Regression (MLR) was employed to predict rainfall, and the equation for this is shown below
where
is the dependent variable (observed rainfall) and the
values are the independent variables, projected rainfall from SSP2-4.5 and SSP5-8.5.
is the intercept from the model summary output, while
, …
are coefficients of the
terms and
denotes the standard error. MLR described the relationship between the dependent variable (“target”) and one or more independent variables. We also showed the comparison between observed and projected rainfall through correlation (
), mean absolute error (
), mean square error (
), and root mean square error (
), based on the following equations:
Note that
represents the simulation time in years,
is the total number of simulation years,
is the calibration point
,
is the observed MAP at location
at year
,
denotes the long-term mean of the observed MAP at location
for the simulation period, and
is the simulated MAP at location
at year
.
values equal to 1 indicate an accurate model, while
and
must be low, e.g., close to 0, to indicate an accurate model. In some instances,
values of 0.2 and 0.5 also demonstrate relatively accurate models. The validation period was between 1981 and 2022 because CHIRPS data is available from 1981 [
25]. Whilst we intended to test CHIRPS data (which is recent and quasi-global) in our study area, it was also imperative to use well-documented datasets such as PGCC8 and CRU TS4. It can be noted that GCMs, PGCC8, and CRU TS4 data have a coarse scale (180° W–180° E and 60° N–60° S), while CHIRPS data is quasi-global (50° N–50° S) across all longitudes. Hence, we downscaled them into a fine scale of 1 × 1 grid points over dryland (30.5° S and 30.9° E) and irrigated (26.8° S and 31.5° E) regions of the SASB.
It is important to note that GCMs and Regional Climate Models (RCMs) inherently contain uncertainties and biases [
30]. To address these challenges and analyse trends, the modified Mann–Kendall (mmky1lag) test and Innovative Trend Analysis (ITA) were employed in this study. The Mann–Kendall Trend Test (MKTT) is a nonparametric rank-based technique that is used to detect monotonic trends in geophysical time series. This technique is resistant to outliers in a dataset [
31,
32,
33]. Statistics (
) were calculated as shown below:
and
Note that the average value of statistic
is given by
and that the variance (
) can be calculated as shown below:
In Equation (8), above,
denotes the number of data points in a
tied group and
represents the number of tied groups in a time series. Considering the random and independent time series, statistic
can be assumed to be normally distributed [
34], and the
statistic is given by the following equation:
To relate the Kendall tau (
) and statistic
, the following equation is used:
Note that
is expressed as
Rainfall, temperature, Palmer Drought Severity Index (PDSI), and SWL trends were tested at a 95% confidence level, and the null hypothesis (e.g., no trend) was rejected if threshold. The modified MKTT was performed in R software version 4.4.2, following the relevant codes. Innovative Trend Analysis (ITA) was used in conjunction with the Modified MKTT in order to increase confidence in the results obtained in this study.
Here, the mmky1lag function for the modified MKTT, version 1.6, was used in this study. This version considers serially correlated data that involves a variance correction approach through using the lag-1 correlation coefficient only [
33]. Through this approach,
statistics and
p-value are recalculated based on corrected and old variances; hence, such robust techniques were desired for this type of research. It can be noted that the modified MKTT and ITA provided useful characteristics of hydroclimatic trends. Those characteristics are magnitude, strength, and direction, but both the modified MKTT and ITA do not indicate when trend changes start and/or end. Therefore, a sequential MKTT was applied to locate potential trend turning points (PTTPs; trend changes). The sequential MKTT uses forward/prograde
) time series and backward/retrograde
time series on the same plot to quantify trend characteristics [
34]. A PTTP is identified if the intersection between the prograde and retrograde trends is TRUE [
34], but the significance of the PTTP is only declared if they diverge beyond
threshold. On the other hand, to compare cases of
, these are normally counted and represented by
so that statistic
can be calculated from Equation (12), below:
The variance and mean of
are calculated using Equations (13) and (14) below.
Notably, standardised magnitudes of
) are calculated with Equation (15).