2.1 Experimental setup
To quantify the relative fraction of the severity of the hydrological drought attributable to anthropogenic climate change and Invasive Alien Tree (IAT) clearing or lack thereof, we applied a joint probabilistic event attribution framework (Fig. 1) to two shrubland subcatchments - Upper Berg Dam (78 km2) and Du Toits (46 km2) - which supply water impoundments of critical importance to the metropolitan area of Cape Town, the surrounding rural communities and irrigated agriculture in the region (Fig. 2).
We used a multi-model event attribution approach16,17 but extended this by using linked climate and hydrological model simulations, respectively, of plausible meteorological and hydrological drought conditions in today’s climate (referred to as ‘Actual’) with anthropogenic emissions and a counterfactual climate (referred to as ‘Natural‘) with human-induced drivers removed. We then adjusted the landscape states in the hydrological model to evaluate different combinations of climate and catchment IAT state (referred to as Climate-IAT states). Using this linked climate and hydrological simulation framework, allowed the assessment of: i) how the attributable human influence on the climate and meteorological drought propagate through the terrestrial hydrological system to alter hydrological drought severity; and ii) how subcatchment IAT management (or absence) can modulate the anthropogenic climatically driven drought severity (Fig. 1 and Table 1).
Table 1
A description of the Climate-Invasive Alien Tree states (Climate-IAT states). For the climate states, the Actual conditions represented the climate for the drought as we experienced it whereas the Natural conditions represented the drought as it might have been without human influence on atmospheric composition.
Climate-IAT states | Abbrev. | Description |
Natural + Current | NC | Natural (N) climate state with Current (C) (2019) levels of IATs (9% - Upper Berg; 40% Du Toits) |
Actual + Current | AC | Actual (A) climate state with Current (C) (2019) levels of IATs (9% Upper Berg; 40% Du Toits) |
Actual + Invaded | AI | Actual (A) climate state with subcatchments fully Invaded (I) with IATs in areas available for invasion (90% Upper Berg; 98% Du Toits) |
Actual + Cleared | ACL | Actual (A) climate state with subcatchments fully Cleared (CL) of IATs from the current state |
Climate simulations were derived from 68 ensemble members from the Hadley Centre Regional Model (HadRM3P) nested in the Hadley Centre Global Atmospheric Model (HadAM3P-N96) from the weather@home modelling system (referred to as W@home); 50 ensemble members from one model (ECHAM5.4) from the Climate of the 20th Century Plus (C20C+) Detection and Attribution project (referred to as C20C); and one ensemble member for each of 27 Coupled General Circulation Models from the fifth phase of the Coupled Models Intercomparison Project (referred to as CMIP5) (Sect. 2.4).
For the IAT states, the ‘Current‘ state (C), represented the observed IAT cover during the drought period, which was 9% for the Upper Berg and 40% for the Du Toits, as was derived from Sentinel 2 satellite imagery for January 2019 (described in30). The ‘Invaded‘ state (I) represented a scenario in which the subcatchment had become fully invaded, and this had persisted over the drought period; and the ‘Cleared‘ state (CL) represented a scenario where all the IATs in the subcatchments had been cleared prior to the drought years and the subcatchment remained free of IATs (Fig. 3).
Each coupled Climate-IAT state was represented through an ensemble of 145 simulations (alternative realisations) of the climate during the 2015–2017 drought with (Actual) and without (Natural) human influence on atmospheric composition for three different Invasive Alien Tree (IAT) states. For each coupled Climate-IAT state, we simulated daily streamflow in cubic meters per second (cumecs) for the drought period, 2015–2017 (Fig. 1 and Table 1, Supplementary Fig. 1). This resulted in a total of 580 simulations of the hydrological response of the system.
To determine how the severity of the drought changed between respective Climate-IAT states, we calculated a Severity Ratio (SR) (Table 2):
SR = S0/Si (1)
where S0 is the simulated mean daily streamflow during the drought period with Natural climate and Current IAT state (NC), and Si is the streamflow for different combinations of Actual-IAT states (-Current [AC], Invaded [AI] and Cleared [ACL]).
For the Natural Current (NC) and Actual Current (AC) Climate-IAT combination, SR > 1 indicates that anthropogenic climate change has increased the severity of the hydrological drought. To determine the percentage change in the severity of the drought attributable to anthropogenic climate change, we calculated the Fraction of Attributable Severity (FAS) (Table 2):
FAS = (1–1/SR) * 100 (2)
For the Natural Current (NC) and Actual Current (AC) Climate-IAT combination, a FAS of 100% indicates that the drought is entirely attributable to anthropogenic climate change while 0% indicates no attributable influence. Negative values indicate that anthropogenic climate change has resulted in the decrease in the severity of the drought. This approach builds on31 but instead of the term magnitude (which they use for seasonal rainfall maxima) we use the term severity because our focus is on low flows.
Table 2
Severity Ratio (SR) and Fraction of Attributable Severity (FAS) equations for Climate-IAT states. This table presents the structure of the equations used to isolate the impact of Anthropogenic Climate Change (ACC) in relation to Invasive Alien Tree (IAT) clearing or lack thereof.
No. | Climate-IAT state names | Code | SR | FAS | Constant | Impact |
1 | Natural + Current /Actual + Current | NC/AC | S0/Si−AC | (1–1/(S0/Si−AC)) *100 | Current IAT | ACC only |
2 | Natural + Current /Actual + Invaded | NC/AI | S0/Si−AI | (1–1/(S0/Si−AI)) *100 | none | ACC + Invaded IAT |
3 | Natural + Current /Actual + Cleared | NC/ACL | S0/Si−CLA | (1–1/(S0/Si−CLA)) *100 | none | ACC + Cleared IAT |
The difference between the SR and FAS calculated for the Natural Current in relation to the Actual Current and the other two Climate-IAT states (Actual Invaded and Actual Cleared) shows the extent to which IAT clearing or the lack thereof could moderate or exacerbate the impact of anthropogenic climate change on the severity of the hydrological drought. It also shows the change in the Fraction of Attributable Severity given anthropogenic climate change that can be attributed to IAT clearing or the lack thereof (Table 3).
Table 3
Calculating the potential to modulate the impact of anthropogenic climate change. The equations used to determine the extent to which Invasive Alien Tree (IAT) clearing or the lack thereof could have played a role in moderating the impact of Anthropogenic Climate Change (ACC) on the severity of the drought (2 − 1 and 3 − 1 in the column Diff refers to Table 2 above).
Diff | SR diff | FAS diff | Impact Diff | SR diff description | FAS diff description |
2 − 1 (NC/AI – NC/AC) | S0/Si−AI - S0/Si−AC | ((1–1/(S0/Si−AI)) *100)) - ((1–1/(S0/Si−AC)) *100)) | (ACC + Invaded IAT) - ACC | Extent to which IATs exacerbated or reduced the impact of ACC | Change in the Fraction of Attributable Severity given ACC that can be attributed to the clearing of IATs or the lack thereof |
3 − 1 (NC/ACL – NC/AC) | S0/Si−ACL - S0/Si−AC | ((1–1/(S0/Si−ACL )) *100)) - ((1–1/(S0/Si−AC)) *100)) | (ACC + Cleared IAT) - ACC |
To calculate uncertainty for each simulated streamflow for each Climate-IAT state we used a bootstrapping approach to resample the simulations from each climate model experiment resulting in a sample size of 1000 for each Climate-IAT state per climate model experiment (Supplementary Sect. 2). To summarise the results, for each climate model experiment and Climate-IAT state we calculated the median and 95% quantiles (0.025–0.975 quantiles, referred to as 95% Confidence Intervals [95%CI]). We generated a synthesis of the results across climate model experiments using the mean of the medians for each climate model experiment, with equal weighting, along with 95% confidence intervals generated using the pooled standard deviation of the climate model experiments32. We also conducted the same attribution analysis and bootstrapping approach for the rainfall and reference evapotranspiration hydrological model input data. The SR equation for reference evapotranspiration was inverted to Si/S0 to account for the fact that greater reference evapotranspiration results in higher evaporative demand and more severe drought (Supplementary Sect. 3).
2.2 Subcatchments
The Du Toits and Upper Berg are upland shrubland covered subcatchments draining into the Berg and Breede Rivers in the southwestern Cape of South Africa (Table 4). Both subcatchments are extremely mountainous and form part of South Africa’s strategic water source areas providing high natural runoff and supporting the region’s population and economy. Strategic water source areas only cover 8% of South Africa but contribute substantially to development needs33. The Upper Berg and Du Toits provide a critical source of water to the Western Cape Water Supply System, an integrated system of six large water impoundments which supply the City of Cape Town metropolis (58%), the agriculture sector (26%), smaller towns and nearby municipalities (6%), with ~ 10% lost to evaporation34. The Upper Berg subcatchment is the main source for the Berg Dam while the Du Toits is one of the main sources for the Theewaterskloof Dam. The Berg and Theewaterskloof Dams account for 15 and 53% of the Western Cape Water Supply System respectively35. The lack of rainfall experienced during 2015–2017 in both subcatchments manifested as hydrological drought with streamflow diminishing by 33% (Du Toits) and 54% (Upper Berg) of the long-term average. Both subcatchments were invaded to differing degrees by IATs during the drought period (Fig. 2 and Table 4).
The native vegetation of the region is known as fynbos, which is dominated by sclerophyllous, evergreen shrubs and graminoids, with no tree element except in ravines. Geology is typical of the mountains of the Cape Folded Belt of the Table Mountain Group and soils consist largely of sandstone-quartzitic soils which are highly leached and nutrient poor36. The climate is Mediterranean and characterized by winter rainfall. The subcatchments are relatively untransformed and undeveloped except for the IAT invasions which consist mostly of Acacia mearnsii; Pinus spp, and Acacia longifolia (Table 4).
2.3 Hydrological model set-up and validation
2.3.1 Model set up
The details of the model set up and evaluation are described in37. We provide a summary here. We set up MIKE-SHE coupled with MIKE HYDRO River system to simulate the hydrological response of subcatchments to the four coupled Climate-IAT states at a daily time step. MIKE SHE is a physically based modelling system, which can be coupled to MIKE-Hydro River to simulate channel flow. MIKE SHE has five process-oriented components of relevance to our two subcatchments: evapotranspiration (ET), overland and channel flow, unsaturated and saturated subsurface flows, and exchange between aquifers and rivers.
We used a fully-distributed implementation of MIKE SHE for both subcatchments to represent these major hydrological processes and their interactions. This entailed horizontally and vertically discretizing the subcatchments into an orthogonal network of three-dimensional grid squares (referred to as finite difference cells) to represent the spatial horizontal and vertical variability of subcatchment characteristics and input data. The model cell discretization was 60m with a total of 32 400 and 48 400 cells for the Du Toits and Upper Berg respectively. The vertical depth of the saturated zone on average was 700m and 900m respectively for the Berg and Du Toits but this was distributed spatially based on existing estimated depth information on the Peninsula formation of the Table Mountain Aquifer Group for the region38–40.
Table 4
Subcatchment characteristics. Characteristics of the two subcatchments for which the coupled climate-IAT states were modelled.
Subcatchment | Upper Berg | Du Toits | Source |
Area (square kilometers) | 78 km2 | 46 km2 | Calculated for subcatchments derived from41 and42 |
Altitude (masl) | 761 | 957 | ALOS DSM: Global 30m42 |
Mean slope (degrees) | 27 | 23 |
Relief roughness (‰): > 160 = extremely dissected | 279 | 246 | 43,44 |
Mean annual rainfall (mm) | 2553 | 1648 | Estimated from various rainfall gauges and a distributed lapse rate37 |
Observed mean daily streamflow at gauges 2004–2017, 2015–2017 (% diff) (m3/s) | 2.2, 1.2 (-45%) | 1.2, 0.8 (-33%) | H6H007 Du Toits for subcatchment G1H076 Berg for one tributary45 |
Simulated daily streamflow at gauges 2004–2017, 2015–2017 (% diff) (m3/s) | 2.2, 1.3 (-45%) | 1.0, 0.7 (-30%) | Section 2.3 and 37 |
Simulated streamflow at subcatchment outlet 2004–2017, 2015–2017 (m3/s) | 4.2, 2.4 (-46%) | See above - gauge is at the outlet |
Observed reference evapotranspiration 2004–2017 (station) (mm/day) | 4.1 | Observed: Penman Monteith reference evapotranspiration (local automatic weather station data ARC 30890) |
Invasive Alien Tree infestation during drought years (%) | 9 | 40 | Derived at a 20m X 20m resolution from Sentinel 2 imagery30 |
Native Fynbos Shrubland high density during drought years (%) | 36 | 23 |
Native Fynbos Shrubland low density during drought years (%) | 43 | 35 |
Other land cover (bare, indigenous forest, wetland, urban, water, rock) (%) | 7.7 (0.6; 0.5; 0.9; 0; 5.1; 0.6) | 2.9 (0.1; 0.3; 0.1; 0.2; 0; 2.2) |
The overland flow zone was characterised based on land use and land cover data derived from Sentinel 2 imagery30. Three main computational layers were used with variable thicknesses to describe vertical variations in the subsurface and their respective hydrogeological characteristics within each grid square. This included the unsaturated soil zone (1.5 m deep), the saturated zone (15m deep), including a perched talus and weathered sandstone aquifer to mimic subsurface piston flow typical of these subcatchments46, and a spatially distributed deep Peninsula Aquifer.
Characteristics and parameterisations for the overland flow zone and subsurface layers were derived from various approaches including field sampling and laboratory analyses (unsaturated zone soil properties including soil depths, parameter values for the van Genuchten model, river channel cross sections, and Leaf Area Indices) and literature review combined with calibration processes (saturated zone layers, depths, horizontal and vertical hydraulic properties, specific storage and yields). Algorithms used included the Kristensen and Jensen equations to calculate actual transpiration and soil evaporation based on several evapotranspiration parameters; diffusive wave approximation of the Saint Venant equations based on the finite difference formulation for overland flow, vertical flow in the soil zone was modeled using Richards’ Equation, which solves for pressure head variation in the unsaturated zone; and groundwater flow in the saturated zone was modelled using the three dimensional Darcy equation.
We linked the overland flow and groundwater flow modules in MIKE SHE to a channel network by coupling with the MIKE Hydro River hydrodynamic river module. This coupling enabled one-dimensional simulation of river flows and water levels using the fully dynamic Saint Venant equations.
2.3.2 Hydrological model validation
Both Upper Berg and Du Toits subcatchment models performed satisfactorily47, with less than 9% difference in daily mean flow compared to observations and including Nash-Sutcliffe efficiencies of above 0.58 (logged: 0.74), r values greater than 0.77 and PBIAS between − 4 and − 10 for daily data (Supplementary Fig. 7, Table 4; for the full description of the model set up and parameterisations see37).
2.4 Climate change attribution hydrological inputs
2.4.1 Climate models and states
We used 29 General Circulation Models (GCMs); 27 Coupled and 2 Atmospheric, and from these 290 simulations of the south-western Cape drought (1 January 2015 to 31 December 2017). Simulations represented two climate states: i) Actual (145 simulations); and ii) Natural (145 simulations) (Table 5).
Atmospheric General Circulation Models (AGCMs) are prescribed with Sea Surface Temperatures (SSTs) to isolate the component of atmospheric variability driven by oceanic boundary forcing by eliminating the influence of the atmosphere on the ocean. They are useful for determining how the atmospheric circulation and land-surface climate might respond to a given set of surface boundary conditions48,49. On the other hand, Coupled General Circulation Models (CGCMs) allow a dynamically interacting ocean, although simulated SSTs do not necessarily track those observed50.
Both the C20C and Climate Prediction.net experiments involve running many simulations of AGCMs differing only in their initial conditions and so representing possible trajectories of the climate system under a given set of time-evolving boundary conditions. We used simulations from ECHAM5.4 from the C20C experiment51,52 as it was the only AGCM in C20C that fully covered the drought period. The Weather@home model from the Climate Prediction.net experiment is a 50km Hadley Centre Regional Model (HadRM3P) for the southern African regional domain nested in the Hadley Centre Global Atmospheric Model (HadAM3P-N96)53,54.
Table 5
Climate model data underpinning to two climate states. Model experiments and number of models and ensemble members used in this study to represent the drought period (2015–2017).
Model experiments | Model name/s | Models | Climate states (Actual & Natural) | Ensemble members per scenario | Total drought simulations |
Atmospheric General Circulation Models (AGCMs) |
Climate Prediction.net distributed computing platform (referred to as W@home) | Weather@home | 1 | 2 | 68 | 136 |
Climate of the 20th Century Plus (C20C+) Detection and Attribution project (referred to as C20C) | ECHAM5.4 | 1 | 2 | 50 | 100 |
Coupled General Circulation Models (CGCMs) |
Fifth phase of Coupled Model Intercomparison Project (referred to as CMIP5) | Supplementary Table 5 | 27 | 2 | 27 | 54 |
Totals | | 29 | | 145 | 290 |
For the AGCMs, Actual simulations represented plausible realisations of the drought (in this case precipitation and daily temperature data) under 2015–2017 observed boundary conditions. This included simulations forced by observed sea surface temperature (SST), sea ice concentration (SIC), greenhouse gases (GHG) and aerosols. In contrast, Natural simulations represented possible realisations of the drought in the absence of anthropogenic interference with the climate system. This included naturalised (detrended and adjusted) sea surface temperatures and sea ice concentrations without an anthropogenic climate change signal and pre-industrial greenhouse gases and aerosols (e.g., boundary conditions representing the 1880s) (see https://portal.nersc.gov/c20c/data.html; https://www.climateprediction.net/).
For the CMIP5 CGCMs, we used a combination of the historical runs and future runs from the first ensemble member (r1i1p1) of each of 27 models from the Coupled Model Intercomparison Project 5 (CMIP5) under a high emission scenario (representative concentration pathway 8.5, RCP8.5)55,56. To minimise the effect of unforced interannual variability, we extracted 2 periods of 31 years each, 1869–1899 and 2001–2031, representing the Natural and the Actual climate states respectively. For each of these 31 year periods, we then extracted the driest three years based on a three-year running average to represent the drought periods across the models.
2.4.2 Climate model evaluation for the hydrological modelling domain
All climate models were evaluated specifically for the southwestern Cape modelling domain using precipitation observations from the University of East Anglia Climate Research Unit (CRU) and reanalysis data from the European Centre for Medium-Range Weather Forecasts (ECMWF – ERA version 5: ERA5). We found that the models were able to reproduce seasonal and spatial variations of the observed rainfall to a satisfactory level, and that bias correction (see below) addressed any major deficiencies affecting the inputs to the hydrological model (Supplementary Fig. 8, 9).
2.4.3 Bias correction
We extracted daily precipitation and daily minimum and maximum temperature from each climate model simulation from the corresponding nearest grid point to each rainfall or reference evapotranspiration observed station used to drive the hydrological model. Data were extracted for a period of 15 years (2004–2018) for the AGCMs and 31 years (1869–1899 and 2001–2031) for the CGCMs for both the Actual and Natural climate states. We derived reference evapotranspiration from the temperature data following57.
Before isolating the drought years (see 2.4.1) for analysis from the climate data and running these in the hydrological models, we bias corrected the climate model data using a standard quantile-quantile bias correction approach58,59 based on the nearest observed station driving the baseline hydrological model and a 20-day moving window. For the Actual climate state, quantile-quantile bias correction was performed by using a 20-day moving window around each day in all years to generate empirical cumulative distribution functions (ECDF) for the data for both observed station and climate model data. The quantiles for the observed station data were then mapped onto the corresponding model quantiles and the value for the observed data extracted as the new bias corrected daily value. For the Natural climate state, we aligned the daily quantiles for each of the simulations with the corresponding daily quantiles in the climate model data from the Actual climate state, and then used the corresponding observed station quantile value as the bias corrected value. Bias correction further improved the correlations with inter-annual and seasonal variations of local rainfall observation stations (Supplementary Fig. 10, 11).