# Contrasting changes in hydrological processes of the Volta River basin under global warming

Moctar Dembélé, Mathieu Vrac, Natalie Ceperley, Sander Zwart, Josh Larsen, Simon Dadson, Grégoire Mariéthoz, Bettina Schaeфli

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Moctar Dembélé, Mathieu Vrac, Natalie Ceperley, Sander Zwart, Josh Larsen, et al. Contrasting changes in hydrological processes of the Volta River basin under global warming. Hydrology and Earth System Sciences, 2022, 26 (5), pp.1481-1506. 10.5194/hess-26-1481-2022. hal-03642655

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# Contrasting changes in hydrological processes of the Volta River basin under global warming

Moctar Dembélé<fnref n="1" />,<fnref n="2" />,<fnref n="7" />,<fnref n="8" />, Mathieu Vrac<fnref n="3" />, Natalie Ceperley<fnref n="7" />,<fnref n="8" />, Sander J. Zwart<fnref n="1" />, Josh Larsen<fnref n="4" />, Simon J. Dadson<fnref n="5" />,<fnref n="6" />, Grégoire Mariéthoz<fnref n="2" />, and Bettina Schaeftli<fnref n="2" />,<fnref n="7" />,<fnref n="8" />

**Correspondence:** Moctar Dembélé (moctar.dembele@cgiar.org)

Received: 19 October 2021 – Discussion started: 27 October 2021

Revised: 21 February 2022 – Accepted: 22 February 2022 – Published: 18 March 2022

**Abstract.** A comprehensive evaluation of the impacts of climate change on water resources of the West Africa Volta River basin is conducted in this study, as the region is expected to be hardest hit by global warming. A large ensemble of 12 general circulation models (GCMs) from the fifth Coupled Model Intercomparison Project (CMIP5) that are dynamically downscaled by five regional climate models (RCMs) from the Coordinated Regional-climate Downscaling Experiment (CORDEX)-Africa is used. In total, 43 RCM-GCM combinations are considered under three representative concentration pathways (RCP2.6, RCP4.5, and RCP8.5). The reliability of each of the climate datasets is first evaluated with satellite and reanalysis reference datasets. Subsequently, the Rank Resampling for Distributions and Dependences (R2D2) multivariate bias correction method is applied to the climate datasets. The bias-corrected climate projections are then used as input to the mesoscale Hydrologic Model (mHM) for hydrological projections over the 21st century (1991–2100).

Results reveal contrasting dynamics in the seasonality of rainfall, depending on the selected greenhouse gas emission scenarios and the future projection periods. Although air temperature and potential evaporation increase under all

RCPs, an increase in the magnitude of all hydrological variables (actual evaporation, total runoff, groundwater recharge, soil moisture, and terrestrial water storage) is only projected under RCP8.5. High- and low-flow analysis suggests an increased flood risk under RCP8.5, particularly in the Black Volta, while hydrological droughts would be recurrent under RCP2.6 and RCP4.5, particularly in the White Volta. The evolutions of streamflow indicate a future delay in the date of occurrence of low flows up to 11 d under RCP8.5, while high flows could occur 6 d earlier (RCP2.6) or 5 d later (RCP8.5), as compared to the historical period.

Disparities are observed in the spatial patterns of hydroclimatic variables across climatic zones, with higher warming in the Sahelian zone. Therefore, climate change would have severe implications for future water availability with concerns for rain-fed agriculture, thereby weakening the water-energy-food security nexus and amplifying the vulnerability of the local population. The variability between climate models highlights uncertainties in the projections and indicates a need to better represent complex climate features in regional models. These findings could serve as a guideline for both the scientific community to improve climate change projections and for decision-makers to elaborate adaptation

<footnote n="1">¹International Water Management Institute (IWMI), CSIR Campus, No. 6 Agostino Neto Road, Accra, Ghana</footnote>

<footnote n="2">²Institute of Earth Surface Dynamics (IDYST), Faculty of Geosciences and Environment, University of Lausanne, 1015 Lausanne, Switzerland</footnote>

<footnote n="3">³Laboratoire des Sciences du Climat et de l'Environnement (LSCE-IPSL), CEA/CNRS/UVSQ, Université Paris-Saclay Centre d'Etudes de Saclay, Orme des Merisiers, 91191 Gif-sur-Yvette, France</footnote>

<footnote n="4">⁴School of Geography, Earth and Environmental Sciences, University of Birmingham, Birmingham, UK</footnote>

<footnote n="5">⁵School of Geography and the Environment, University of Oxford, South Parks Road, Oxford OX1 3QY, UK</footnote>

<footnote n="6">⁶UK Centre for Ecology and Hydrology, Wallingford, Oxfordshire OX10 8BB, UK</footnote>

<footnote n="7">⁷Institute of Geography (GIUB), University of Bern, 3012 Bern, Switzerland</footnote>

<footnote n="8">⁸Oeschger Centre for Climate Change Research (OCCR), University of Bern, 3012 Bern, Switzerland</footnote>
and mitigation strategies to cope with the consequences of
climate change and strengthen regional socioeconomic de-
velopment.

# 1 Introduction

Climate warming is projected to occur faster in West Africa than the global average during the 21st century (Todzo et al., 2020). Anthropogenic greenhouse gas emissions have led to an unprecedented increase in surface air temperature, which has resulted in the intensification of the hydrological cycle (Sylla et al., 2016). Therefore, recurrent floods and droughts could persist in the future because rainfall is projected to decrease in frequency but increase in intensity (Aich et al., 2014; Dosio et al., 2020; Chagnaud et al., 2022). In the face of climate change and variability, West Africa is particularly vulnerable because of its high reliance on rain-fed agriculture and limited institutional capacities to cope with climate change and variability (Karambiri et al., 2011; Sultan and Gaetani, 2016; Yira et al., 2017). Climate change and anthropogenic pressures increase stress on water resources (Sood et al., 2013). Freshwater shortages that lead to a decline in basin-scale irrigation water availability could have dire consequences for sustainable agriculture (Sylla et al., 2018b). Consequently, global warming is a serious threat to water and food security in West Africa. However, addressing this threat is currently difficult given the high variability in climate projections, which can impose very different hydrological implications for West Africa (Dosio et al., 2020), thus imposing greater urgency for further investigations on the impacts of climate change on hydrological processes.

In the transboundary Volta River basin (VRB) located in West Africa, water resources are fundamental for agriculture, hydropower generation, fisheries, and other ecosystem services (Williams et al., 2016). Most of the agriculture is rain fed, but many regions rely on irrigated agriculture (Roudier et al., 2014). Hydropower is a major source of electricity production, with the potential to grant more access to energy in the region (Kling et al., 2016; Stanzel et al., 2018). Future water resource developments in the VRB focus primarily on hydroelectricity and irrigation (McCartney et al., 2012). However, severe impacts of climate change on water resources in the VRB will impede future socioeconomic development (Sood et al., 2013). Anticipation of the future evolution of the hydrological cycle in the VRB is essential to ensure the adaptive capacities of the riparian countries to the regional consequences of global warming (Jin et al., 2018). However, there is relatively little knowledge of the impacts of climate change on the future water resources in West Africa in general (e.g. Kasei, 2010; Oyerinde et al., 2016; Yira et al., 2017) and only a few studies targeted the VRB (Jung et al., 2012; Okafor et al., 2019; Roudier et al., 2014). These studies usually focused on climatic variables (i.e. precipitation

and temperature), and when considering hydrological mod-
elling, they usually focused on one variable (e.g. streamflow).
The limitations of climate change impacts studies on water
resources in West Africa arise from the lack of hydrologi-
cal and meteorological observations to drive models, in ad-
dition to uncertainties related to climate projection data and
hydrological models (Dembélé et al., 2019; Oyerinde et al.,
2016; Sylla et al., 2018a). Despite considerable progress in
improving climate projections and the efforts in investigat-
ing climate change in West Africa (e.g. Diallo et al., 2016;
Kebe et al., 2017; Mahé et al., 2013; Nikiema et al., 2017),
the need for understanding the future evolution of the hydro-
logical cycle under varying scenarios still exists (Eyring et
al., 2019; Sidibe et al., 2020; Sylla et al., 2016).

The goal of this study is to analyse the repercussions of
projected changes in rainfall and temperature on the seasonal
and annual trends of various components of the hydrological
cycle (i.e. streamflow, total runoff, potential and actual evap-
oration, groundwater recharge, soil moisture, and terrestrial
water storage) and water availability in the 21st century un-
der multiple future scenarios. Therefore, this study investi-
gates the evolutions of various hydrological processes in the
VRB under a changing climate and the implications for water
availability and extreme events like floods and droughts. The
results can inform research and water planning to develop
and implement adaptation and mitigation measures that alle-
viate the impacts of global warming in the VRB.

## 2 Study area

The Volta River basin (VRB) is a major transboundary basin in West Africa (Fig. 1), and the ninth-largest drainage basin in sub-Saharan Africa (UNEP-GEF, 2013). It is located between latitudes 5°40' and 14°55' N and longitudes 5°25' W and 2°20' E, and covers approximately 415,600 km² shared among six countries (Benin, Burkina Faso, Côte d'Ivoire, Ghana, Mali, and Togo). The population of the VRB was estimated to 23.8 × 10⁶ people in 2010, and it is projected to reach 56.1 × 10⁶ in 2050 (Williams et al., 2016). The altitude ranges from zero to 940 m a.s.l. (above sea level), but the topography is predominantly flat, with a mean altitude of about 255 m a.s.l., as most of the basin lies below 400 m a.s.l. (Dembélé et al., 2020c). The land cover of the basin area is composed of savannah (75%), cropland (13%), forest (9%), water bodies (2%), and bare land and settlements (1%). The climate is driven by the latitudinal and seasonal oscillation of the Intertropical Convergence Zone (ITCZ), which governs rainfall occurrence in the VRB. Rainfall depicts a south-north gradient of increasing aridity, with four eco-climatic zones (i.e. Sahelian, Sudano-Sahelian, Sudanian, and Guinean), and it is characterized by interannual and multidecadal variabilities (Nicholson et al., 2018). The Volta River flows north-south over 1850 km and drains into the Atlantic Ocean at the Gulf of Guinea after transiting into
the Lake Volta formed by the Akosombo Dam. The drainage system is composed of four sub-basins known as Black Volta (152 800 km²), White Volta (113 400 km²), Oti (74 500 km²), and Lower Volta (74 900 km²; Dembélé, 2020).

# 3 Data and methods

## 3.1 Overview of the methodology

The methodology adopted for assessing climate change impacts on water resources in the VRB is summarized in Fig. 2. The main steps consist of the bias correction of the RCMs forced by the GCMs, the modelling of hydrological processes based on the climate projection datasets, and the analysis of the future changes in the modelled hydrological processes.

Uncertainties in the climate projections are addressed by employing a large ensemble of 12 general circulation models (GCMs) downscaled by five regional climate models (RCMs) under three Representative Concentration Pathways (RCPs; Moss et al., 2010; Van Vuuren et al., 2011). The RCMs are obtained from the Coordinated Regional-climate Downscaling Experiment (CORDEX) for Africa (Giorgi et al., 2009). Only considering the highest RCP8.5 scenario as the business-as-usual scenario in climate change studies is increasingly criticized because the assumption of the heavy use of coal in RCP8.5 is unrealistic (Hausfather and Peters, 2020; Ritchie and Dowlatbadi, 2017). However, the current emissions are found to be in line with the RCP8.5 scenario (Peters et al., 2013), and there are suggestions for giving RCP8.5 a high priority (O'Neill et al., 2016).

The RCM-GCM datasets are first evaluated by comparing them to the best-performing satellite and reanalysis datasets of rainfall and temperature for hydrological modelling in the VRB. Subsequently, a multivariate bias correction is applied to the climate projection datasets using the Rank Resampling for Distributions and Dependences (R2D2) method (Vrac and Thao, 2020). Finally, the bias-corrected climate projection datasets are used as input in the fully distributed mesoscale Hydrologic Model (mHM) to assess the impact of climate change on multiple hydrological fluxes and state variables. Although the performance of a model during past and present conditions does not guarantee its reliability for future projections (Stanzel et al., 2018), having a well-performing model that simulates realistic hydrological processes is a prerequisite for any sound impact study (Krysanova et al., 2018).

## 3.2 Climate projection datasets

CORDEX generates high-resolution historical and future climate projections for regional domains, by downscaling GCMs participating in the fifth Coupled Model Intercomparison Project (CMIP5; Taylor et al., 2012). Based on data availability on the Earth System Grid Federa-

tion (ESGF) platform (https://esgf-data.dkrz.de, last access: 22 March 2020), 12 GCMs from CMIP5 dynamically downscaled with five RCMs available from the CORDEX-Africa initiative are selected for this study (Table 1). The spatial resolution of the RCMs is 0.44° (~50 km) in latitude and longitude. As the RCMs do not downscale all the GCMs, there are 21 RCM-GCM combinations available for the global runs in the historical period (1951–2005), while 43 RCM-GCM combinations are available for the future projections (2006–2100) under various representative concentration pathways (RCP2.6, RCP4.5, and RCP8.5). The RCPs correspond to different scenarios of future concentrations and emissions of greenhouse gases and air pollutants, and land use change until 2100, relative to the preindustrial times (Moss et al., 2010; Van Vuuren et al., 2011). The three RCPs used in this study are (i) RCP2.6, corresponding to a mitigation scenario with a very low radiative forcing level that peaks at ~3 W m⁻² (~490 ppm CO₂ eq.) and declines to ~2.6 W m⁻² by 2100; (ii) RCP4.5, representing a medium stabilization scenario without overshoot pathway to 4.5 W m⁻² (~650 ppm CO₂ eq.) at stabilization after 2100; and (iii) RCP8.5, corresponding to a very high emission scenario with rising radiative forcing pathway leading to 8.5 W m⁻² (~1370 ppm CO₂ eq.) by 2100. Approximately, RCP2.6 corresponds to a +2 °C global temperature stabilization by 2100, while RCP4.5 and RCP8.5 correspond to +3.5 and +5 °C increase in global temperature by 2100 (Konapala et al., 2020). The climate variables used in this study are daily data of rainfall and minimum, maximum, and average air temperature, which are obtained for the climate model realization r1i1p1.

## 3.3 Multivariate bias correction of climate data

Assessing the reliability of climate projections data for reproducing observations is a precondition to impact studies (Eyring et al., 2019). However, observations are also subject to uncertainties. To address these uncertainties, the climate projection datasets are evaluated with respect to 10 satellite-based and reanalysis-based rainfall datasets and six temperature datasets (Table 2). The selected satellite-based and reanalysis-based rainfall datasets demonstrated the best performances for large-scale hydrological modelling in the VRB, as shown by Dembélé et al. (2020c). Hereafter, the datasets composed of both satellite and reanalysis products will be referred to as observations.

As discrepancies are observed between the cumulative distribution functions of the observations and the climate projection datasets (Fig. 3), a bias correction is applied before using the climate datasets for hydrological modelling, as usually recommended (Hakala et al., 2018; Teutschbein and Seibert, 2012). The R2D2 method (Vrac and Thao, 2020) is adopted for a multivariate bias correction of the climatic variables. R2D2 is a rank analogue-based method that adjusts not only the univariate distributions of climatic variables but also
<figure><img src="image_2.png" /><figcaption>**Figure 1.** Physical and hydroclimatic characteristics of the Volta River basin. (a) Hydrographic network and climatic zones, (b) digital elevation model, and (c) land cover. Adapted from Dembélé et al. (2020b).</figcaption></figure>

<figure><img src="image_3.png" /><figcaption>**Figure 2.** Overview of the procedure for assessing the impacts of climate change on hydrological processes.</figcaption></figure>
<table><caption>**Table 1.** List of the CORDEX-Africa general circulation models (GCMs) datasets downscaled by regional climate models (RCMs) and their availability per Representative Concentration Pathways (RCPs) marked with a cross (x).</caption><thead><tr><th>RCMs</th><th>GCMs</th><th>RCP2.6</th><th>RCP4.5</th><th>RCP8.5</th></tr></thead><tbody><tr><td rowspan="3">CCLM4-8-17</td><td>CNRM-CM5</td><td></td><td>x</td><td>x</td></tr><tr><td>HadGEM2-ES</td><td></td><td>x</td><td>x</td></tr><tr><td>MPI-ESM-LR</td><td></td><td>x</td><td>x</td></tr><tr><td rowspan="2">CRCM5</td><td>CanESM2</td><td></td><td>x</td><td></td></tr><tr><td>MPI-ESM-LR</td><td></td><td>x</td><td></td></tr><tr><td>RACMO22T</td><td>EC-EARTH</td><td></td><td>x</td><td>x</td></tr><tr><td rowspan="10">RCA4</td><td>CanESM2</td><td></td><td>x</td><td>x</td></tr><tr><td>CNRM-CM5</td><td></td><td>x</td><td>x</td></tr><tr><td>CSIRO-Mk3-6-0</td><td></td><td>x</td><td>x</td></tr><tr><td>EC-EARTH</td><td></td><td></td><td>x</td></tr><tr><td>IPSL-CM5A-MR</td><td></td><td>x</td><td>x</td></tr><tr><td>MIROC5</td><td>x</td><td>x</td><td>x</td></tr><tr><td>HadGEM2-ES</td><td>x</td><td>x</td><td>x</td></tr><tr><td>MPI-ESM-LR</td><td>x</td><td>x</td><td>x</td></tr><tr><td>NorESM1-M</td><td>x</td><td>x</td><td>x</td></tr><tr><td>GFDL-ESM2M</td><td></td><td>x</td><td>x</td></tr><tr><td rowspan="5">REMO2009</td><td>IPSL-CM5A-LR</td><td>x</td><td></td><td>x</td></tr><tr><td>MIROC5</td><td>x</td><td></td><td>x</td></tr><tr><td>HadGEM2-ES</td><td>x</td><td></td><td>x</td></tr><tr><td>MPI-ESM-LR</td><td>x</td><td>x</td><td>x</td></tr><tr><td>GFDL-ESM2G</td><td>x</td><td></td><td></td></tr></tbody></table>

the inter-variable and inter-site dependence structures (Vrac, 2018). Bias correction with the R2D2 approach is achieved in two steps. First, the marginal distributions of univariate time series are adjusted using any univariate bias correction method. Here, the cumulative distribution function transform (CDF-t) approach (e.g. Vrac et al., 2012) is used to adjust the marginal properties of the univariate time series. Second, R2D2 is used to adjust the dependence structure between several variables, independently of their marginal distribution (i.e. empirical copula function). R2D2 has performed better compared to other bias correction methods, as demonstrated by François et al. (2020).

In the current multivariate bias correction, rainfall and temperature datasets are corrected simultaneously to preserve the temporal and spatial dependences between the climatic variables. The bias correction is done using only one of the observational datasets as reference data, the WFDEI, because it has both rainfall and temperature data over a long period (1979–2016). Furthermore, the WFDEI dataset previously demonstrated good performances in the VRB (Dembélé et al., 2020b). Therefore, it is chosen as reference data to limit uncertainties in the bias correction (Tarek et al., 2021). The period 1981–2005 is taken as the reference period for training the bias correction of the climate projection datasets, whose time series are divided into several 25-year periods over the period 1951–2100 to correspond to the length of the reference period. The multivariate bias correction is applied

by grouping the data per calendar month in each sub-period of 25 years, which improves seasonality in the corrected data.

## 3.4 Hydrological modelling

### 3.4.1 Model set-up and modelling period

The fully distributed mesoscale Hydrologic Model (mHM) simulates dominant hydrological processes with seamless spatiotemporal patterns in the modelling domain (Kumar et al., 2013; Samaniego et al., 2010, 2017). Telteu et al. (2021) provide a description of the formulation of hydrological processes in mHM. The model configuration is similar to the study of Dembélé et al. (2020b), which provides full details on the model set-up, calibration, evaluation, and performance across scales (see Fig. 8). The study also demonstrates the ability of the mHM model to reproduce reliable spatiotemporal patterns of various hydrological processes after a robust multivariate model calibration with streamflow and satellite data of evaporation, soil moisture, and water storage.

The calibrated model is run over the entire data availability period (1951–2100) of the RCM–GCM datasets, with 1951–1960 as spin-up period. The baseline or historical period for climate change impact assessment is 1991–2020, which is chosen to have a more recent context for understanding climate change (Hawkins and Sutton, 2016). Projections are assessed for the near-term future (2021–2050), the long-term future (2051–2080), and the late century (2071–2100). In total, 21 RCM–GCM combinations are available for the historical runs, while for future projections, 9 RCM–GCM combinations are available for the RCP2.6, 16 for RCP4.5, and 18 for RCP8.5 (Table 1). Although future land use and land cover (LULC) scenarios are not used in this study, the temporal dynamic of LULC is accounted for by using different maps over the modelling period. Based on high-resolution LULC data available between 1992 and 2015 from the European Space Agency Climate Change Initiative (ESA, 2017), LULC maps for 1992, 2005, and 2015 are used for the periods 1951–1990, 1991–2020, and 2021–2100, respectively. The Hargreaves and Samani (1985) method is used to calculate potential evaporation. Here, the term evaporation involves all sources of evaporation, including transpiration (Miralles et al., 2020; Savenije, 2004).

### 3.4.2 Model reliability

The realism of the hydrological simulations is verified with the Budyko framework (Budyko, 1974), which helps to estimate mean annual water availability as a function of aridity. The supply–demand framework, which is increasingly used in hydrological modelling (Greve et al., 2020; Wang et al., 2016), is valid for large catchments under a steady state, considering long-term water balance and energy balance (Donohue et al., 2010; McVicar et al., 2012). The exercise consists of verifying if the ratio of the long-term mean annual poten-
<table><caption>**Table 2.** Satellite- and reanalysis-based rainfall and temperature products for climate projection data evaluation. Note: *P* rainfall; *T* – temperature; NP – near present.</caption><thead><tr><th>Datasets</th><th>Name/URL</th><th>Used variables</th><th>Temporal coverage</th><th>References</th></tr></thead><tbody><tr><td>TAMSAT v3.0</td><td>Tropical Applications of Meteorology using SATellite data and ground-based observations (TAMSAT); African Rainfall Climatology and Time series (TARCAT) http://www.tamsat.org.uk/</td><td>P</td><td>1983-NP</td><td>Maidment et al. (2017); Tarnavsky et al. (2014)</td></tr><tr><td>CHIRPS v2.0</td><td>Climate Hazards group InfraRed Precipitation with Stations (CHIRPS) V2.0 https://chc.ucsb.edu/data/chirps</td><td>P</td><td>1981-NP</td><td>Funk et al. (2015)</td></tr><tr><td>ARC v2.0</td><td>Africa Rainfall Climatology (ARC 2.0) https://www.cpc.ncep.noaa.gov/products/international/data.shtml</td><td>P</td><td>1983-NP</td><td>Novella and Thiaw (2013)</td></tr><tr><td>MSWEP v2.2</td><td>Multi-Source Weighted-Ensemble Precipitation (MSWEP) V2.2 http://www.gloh2o.org/</td><td>P</td><td>1979-NP</td><td>Beck et al. (2017)</td></tr><tr><td>PERSIANN-CDR v1r1</td><td>Precipitation Estimation from Remotely Sensed Information using Artificial Neural Networks (PERSIANN) Climate Data Record (CDR) V1R1 https://www.ncei.noaa.gov/data/precipitation-persiann/access/</td><td>P</td><td>1983-2016</td><td>Ashouri et al. (2015)</td></tr><tr><td>WFDEI-CRU</td><td>WATCH Forcing Data ERA-Interim (WFDEI) corrected using the Climatic Research Unit (CRU) dataset https://rda.ucar.edu/datasets/ds314.2/</td><td>P</td><td>1979-2018</td><td>Weedon et al. (2014)</td></tr><tr><td>WFDEI-GPCC</td><td>WATCH Forcing Data ERA-Interim (WFDEI) corrected using the Global Precipitation Climatology Centre (GPCC) dataset ftp://rfdata.forceDATA@ftp.iiasa.ac.at/</td><td>P, T</td><td>1979-2016</td><td>Weedon et al. (2014)</td></tr><tr><td>PGF v3</td><td>Princeton University Global Meteorological Forcing (PGF) http://hydrology.princeton.edu/data/pgf/</td><td>P, T</td><td>1948-2012</td><td>Sheffield et al. (2006)</td></tr><tr><td>ERA5</td><td>European Centre for Medium-range Weather Forecasts ReAnalysis 5 (ERA5) hourly data on single levels https://cds.climate.copernicus.eu/</td><td>P, T</td><td>1979-NP</td><td>Hersbach et al. (2020)</td></tr><tr><td>MERRA-2</td><td>Modern-Era Retrospective Analysis for Research and Applications 2 (rainfall - M2T1NXFLX_V5.12.4; temperature - M2SDNXSLV_V5.12.4) https://disc.gsfc.nasa.gov/datasets/</td><td>P, T</td><td>1980-NP</td><td>Gelaro et al. (2017); Reichle et al. (2017)</td></tr><tr><td>EWEMBI v1.1</td><td>EartH2Observe, WFDEI, and ERA-Interim data Merged and Bias-corrected for ISIMIP (EWEMBI) https://doi.org/10.5880/pik.2016.004</td><td>T</td><td>1976-2013</td><td>Lange (2016)</td></tr><tr><td>JRA-55</td><td>Japanese 55-year ReAnalysis (JRA-55); rainfall - fcst_phy2m125; temperature - anl_surf125 https://jra.kishou.go.jp/JRA-55/index_en.html</td><td>T</td><td>1959-NP</td><td>Kobayashi et al. (2015)</td></tr></tbody></table>

All links were last accessed on 14 March 2022.
tial evaporation to precipitation (aridity index) and the ratio of long-term mean actual evaporation to precipitation (evaporative index) of the climate projections are coherent with the energy and water limits for a given climate (Sposito, 2017; Donohue et al., 2011). The Budyko curve is formulated with Eq. (1), after Budyko (1974), as follows:

$$ \overline{E_a}/\overline{P} = \left[ \phi \tan h \left( \frac{1}{\phi} \right) (1 - \exp(-\phi)) \right]^{1/2}, \quad (1) $$

where $\overline{P}$ is the long-term mean annual precipitation, $\overline{E_a}$ is the long-term mean annual actual evaporation, and $\phi$ is the aridity index.

### 3.4.3 Timing of high and low flows

The streamflow ($Q$) projections at the outlets of the sub-basins in the VRB are used for the analysis of high and low flows. Here, high flows correspond to streamflow with a return period of 10 years, i.e. streamflow peaks that are equalled or exceeded for 10% of the time ($Q_{10}$). Low flows represent streamflow that is equalled or exceeded for 90% of the time ($Q_{90}$). Therefore, $Q_{90}$ and $Q_{10}$ are the 10th and 90th percentiles of daily streamflow, corresponding to the 90% and 10% probability of exceedance, respectively. An increase in $Q_{10}$ implies an increase in flood risk, whereas a decrease in $Q_{90}$ represents a higher risk for river drought (Aich et al., 2014). The streamflow gauges are Bui-Amont, Daboya, and Saboba at the outlets of the Black Volta, White Volta, and Oti sub-basins (Fig. 1), respectively. No gauge at the outlet of the Lower Volta sub-basin was available for the study.

The timing of high and low flows is assessed by first estimating the dates on which the annual $Q_{10}$ and $Q_{90}$ occurred for each of the individual 30-year historical period and future periods. Subsequently, the method of circular statistics (Mardia, 1972, 1975) is used to calculate the mean date of occurrence (measure of average seasonality) and the interannual variation in the date of occurrence (measure of dispersion of events) of $Q_{10}$ and $Q_{90}$ (e.g. Blöschl et al., 2017; Laaha and Blöschl, 2006; Vlach et al., 2020). The approach of circular statistics converts Julian dates into angular values corresponding to locations on the circumference of a circle and avoids problems with calculating the mean date when the dates of occurrence fall around the end or the beginning of a calendar year (Chen et al., 2013; Young et al., 2000; Hanus et al., 2021). The calendar date of occurrence is converted to an angular value as follows:

$$ \theta_i = D_i \cdot \frac{2\pi}{m_i}, \quad 0 \le \theta_i \le 2\pi, \quad (2) $$

where $\theta_i$ is the angular date of occurrence in radians, $D_i$ varies between 1 and 365 (366 for leap years) and corresponds to the Julian date of occurrence of the flow event (e.g. $Q_{10}$ or $Q_{90}$) in the calendar year $i$, and $m_i$ is the number of days in that year.

The average date of occurrence $\overline{D}$ is calculated as follows:

$$ \overline{D} = \begin{cases} \tan^{-1}\left(\frac{\overline{y}}{\overline{x}}\right) \cdot \frac{\overline{m}}{2\pi}, & \overline{x} > 0, \overline{y} \ge 0 \\ \tan^{-1}\left(\frac{\overline{y}}{\overline{x}}\right) \cdot \frac{\overline{m}}{2\pi} + \pi, & \overline{x} \le 0 \\ \tan^{-1}\left(\frac{\overline{y}}{\overline{x}}\right) \cdot \frac{\overline{m}}{2\pi} + 2\pi, & \overline{x} > 0, \overline{y} < 0 \end{cases}, \quad (3) $$

with the following:

$$ (\overline{x}, \overline{y}) = \left( \frac{1}{n} \sum_{i=1}^{n} \cos \theta_i, \frac{1}{n} \sum_{i=1}^{n} \sin \theta_i \right) \quad (4) $$

$$ \overline{m} = \frac{1}{n} \sum_{i=1}^{n} m_i, \quad (5) $$

where $\overline{x}$ and $\overline{y}$ represent the cosine and sine components of the average date, respectively, $\overline{m}$ is the average number of days per year, and $n$ is the total number of years.

The concentration of the dates of occurrence around the average date is given by the mean resultant $R$, as follows:

$$ R = \sqrt{\overline{x}^2 + \overline{y}^2}, \quad 0 \le R \le 1. \quad (6) $$

When $R$ approaches 1, the timing of the flow event ($Q_{10}$ or $Q_{90}$) is highly seasonal (the events occur on the same day of the year), but a small value of $R$ near 0 indicates a high interannual variability of the date of occurrence (events are evenly distributed over the year).

## 3.5 Analysis of changes and variability

Variability in the model inputs and outputs resulting from different climate models are assessed using the second-order coefficient of variation ($V_2$), which addresses the limitations of the classical coefficient of variation (Kvålseth, 2017), and is defined as follows:

$$ V_2 = \left( \frac{s^2}{s^2 + \overline{x}^2} \right)^{1/2}, \quad (7) $$

where $s$ is the standard deviation, and $\overline{x}$ is the mean of a sample data $x = (x_1, \dots, x_n) \in R^n$. $V_2$ represents the distance between $x$ and $\overline{x}$ relative to the distance between $x$ and the origin zero, and it varies from 0 to 1 or 0% to 100%.

The relative changes in hydroclimatic variables between the various future periods and the historical period are calculated as follows:

$$ \Delta X_{\text{future}} = \frac{\overline{X}_{\text{future}} - \overline{X}_{\text{baseline}}}{\overline{X}_{\text{baseline}}}, \quad (8) $$

where $\Delta X$ corresponds to the relative future change in the average variable $X$ over a given future period (2021–2050; 2051–2080; 2071–2100) as compared to the baseline or historical period (1991–2020). Only the numerator of Eq. (8) is considered for the calculation of absolute changes.

Finally, the percentage of the RCM–GCM agreement is calculated as the number of models agreeing on the same
direction of change (i.e. increase or decrease) relative to the total number of models, which shows the robustness of the ensemble of climate projections.

# 4 Results

## 4.1 Multivariate bias correction

The raw RCM–GCM datasets are evaluated by comparing their cumulative distribution functions to those of the observations over the period 1983–2005 corresponding to the concomitant availability period of all the observation datasets (Fig. 3). The distribution of most of the raw RCM–GCM datasets presents discrepancies with the observations, with larger gaps for temperature than rainfall. The multivariate bias correction with the R2D2 method visually performs well by adjusting the distributions of the RCM–GCM datasets to the WFDEI reference dataset for all the climatic variables. Therefore, the corrected RCM–GCM datasets are expected to provide reliable hydrological simulations in the VRB.

## 4.2 Plausibility of hydrological simulations

The general plausibility, here used to mean water and energy balance consistency within the Budyko framework, of the hydrological simulations using various RCM–GCM datasets as inputs to the mHM model under various RCPs and various periods is illustrated in Fig. 4.

All the RCM–GCM datasets provide plausible hydrological simulations, at least in terms of water and energy balance, as they respect the water and energy limits imposed within the Budyko framework. On average, the evaporative index ($E_a/P$) is between 0.86 and 0.97, while the aridity index ($E_p/P$) is between 2.2 and 4.4, which corresponds to expected values for sub-humid and semi-arid environments such as the VRB (Gunkel and Lange, 2017). It is noteworthy that future projections are shifted towards a lower evaporative index, and they have larger model-dependent variability in aridity ranges, particularly under RCP4.5 and RCP8.5.

## 4.3 Seasonal changes in hydroclimatic variables

The annual cycles of climatic and hydrological variables are illustrated in Fig. 5 for RCP8.5 (see Figs. S1–S10 for other RCPs). The hydroclimatic variables analysed are rainfall (P), average air temperature ($T_{avg}$), potential evaporation ($E_p$), actual evaporation ($E_a$), root zone soil moisture ($S_u$), terrestrial water storage ($S_t$), total runoff ($Q_{run}$), and groundwater recharge ($R_f$). It is noteworthy that $T_{avg}$ and $E_p$ show a clear bimodal annual cycle in the VRB, with the first mode peaking between March and April, corresponding to the hottest period, while the second mode starts in September and peaks around October and November. For the hydroclimatic variables depicting a unimodal annual cycle, the peak of the cy-

cle is observed around August and September, corresponding to the rainiest period.

The hydroclimatic variables depict contrasting seasonal changes across the RCPs over the future projection periods (Figs. 6 and 7). The mean monthly changes are calculated as the differences between the future periods and the historical period. Figures S11–S30 illustrate the distribution of changes in the seasonal cycle of the hydroclimatic variables across RCM–GCM combinations. Overall, monthly P is projected to increase between +2.9% (RCP2.6) and +136.7% (RCP8.5), on average, in the dry months (November–March) and decrease between -14% (RCP8.5) and -0.6% (RCP2.6) in the wet months (May–September) over the 21st century. However, the reduction in rainfall over the wet months is more accentuated from the beginning to the middle of the rainy season (May–July), whereas there is an increase in rainfall intensity over the late rainy season (August–September). Consequently, monthly rainfall is projected to be more concentrated at the end of the rainy season, i.e. in August and September, as compared to the baseline period. All RCM–GCM models agree for air temperature on the increasing trend across all RCPs over the 21st century. There is a clear increase for $T_{avg}$ in all months with a similar pattern for each month, depicting an increase with time from 2021 to 2100 and with increasing radiative forcing level from RCP2.6 to RCP8.5. On average, $T_{avg}$ increases between +2.4% and 16.3% (i.e. +0.6 and +4.4°C) across RCPs and over the 21st century. Similar to future projections of $T_{avg}$, monthly $E_p$ also shows a consistent increase across RCPs and for different periods in the 21st century. The average changes in $E_p$ are projected from +1.1% in 2021–2050 for RCP2.6 to +10.2% in 2071–2100 under RCP8.5 (Fig. 6). The changes in simulated monthly $E_a$ follow a similar pattern to P, with an average increase between +0.2% under RCP2.6 and +8.1% under RCP8.5 for $E_a$ in the dry months and a reduction of -0.2% and -9.9%, respectively, under RCP2.6 and RCP8.5 in the wet months (Fig. 7).

Projected monthly $S_u$ and monthly $S_t$ (the sum of all water stored below and above land) denote a clear decline in the future for all RCPs, except for some months in the period 2021–2050 and in the period 2071–2100 under RCP8.5 (Fig. 7). The average decrease varies between -4.1% and -0.1% for $S_u$ and between -3.6% and -0.2% for $S_t$. The monthly $Q_{run}$ and $R_f$ mainly increase, with the exception of some scenarios in some months. The projected monthly changes vary between -16.5% and +173.9% for $Q_{run}$ and between -21.8% and +344.3% for $R_f$. The strong increases in $Q_{run}$ and $R_f$ are identified in April, when all RCM–GCMs project a decrease in $E_a$ (Fig. 7).

Overall, the inter-model (i.e. RCM–GCMs) variability is lower for the historical period than for the future periods and increases with increasing radiative forcing level from RCP2.6 to RCP8.5 (Fig. 8). Among the climatic variables, low inter-model variabilities are simulated for monthly temperatures and potential evaporation, with an average $V_2$ vary-
<figure><img src="image_4.png" /><figcaption>**Figure 3.** Cumulative distribution functions (CDFs) of daily rainfall (*P*) and average, maximum, and minimum daily air temperature (*T*<sub>avg</sub>, *T*<sub>max</sub>, and *T*<sub>min</sub>) before and after multivariate bias correction of various RCM–GCM datasets over the 1983–2005 historical period. The black line and grey shaded area represent the mean and the 90 % confidence interval of the satellite and reanalysis datasets of rainfall (10 datasets) and temperature (six datasets).</figcaption></figure>

ing from 1% to 4% over the 21st century. However, *P* shows higher inter-model variabilities with *V*₂ ranging between 30% and 44%, which have a direct repercussion on the simulated hydrological variables. The highest inter-model variabilities are observed for groundwater recharge, which exceed *V*₂ of 48%. The monthly inter-model variability for all the hydroclimatic variables and all the RCPs are illustrated in Fig. S31. It is noteworthy that the inter-model variability for monthly rainfall, actual evaporation, total runoff, and groundwater recharge is lower during the wet months (May–September) than the dry months (November–March), while an almost constant trend across months is simulated for the other variables (Fig. S31).

## 4.4 Annual changes in hydroclimatic variables and water availability

Considering all RCPs over the historical period in the VRB, the multi-model ensemble mean of long-term annual estimates of climatic variables is as follows: *T*<sub>avg</sub> = 28.4 °C, *E*<sub>p</sub> = 2580 mm yr<sup>-1</sup>, *P* = 994 mm yr<sup>-1</sup>. The trends in annual estimates of projected hydroclimatic variables and water availability are illustrated in Fig. S32. Water availability is assessed as the net water flux into the land surface, using a proxy metric that is the difference between rainfall and actual evaporation (*P* − *E*<sub>a</sub>) (Konapala et al., 2020; Greve and Seneviratne, 2015; Mishra et al., 2017).
<figure><img src="image_5.png" /><figcaption>**Figure 4.** Plausibility of hydrological processes with the Budyko framework representing the evaporative index, i.e. the ratio of actual evaporation to rainfall ($E_a/P$), as a function of the aridity index, i.e. ratio of potential evaporation to rainfall ($E_p/P$). The black dashed line represents the limit where precipitation equals potential evaporation.</figcaption></figure>

The changes in the future projections of annual climatic and hydrological processes over the 21st century (2021–2100), as compared to the historical period (1991–2020) show contrasting trends between RCPs and between projection periods (Fig. 9). All climatic variables (rainfall, temperature, and potential evaporation) are projected to increase over the 21st century for all RCPs and projection periods, with the exception of rainfall that is expected to decrease under RCP2.6 and RCP4.5 and increase under RCP8.5.

The median annual changes in climatic variables over 2021–2100 are amplified with increasing radiative forcing levels and vary between RCP2.6 ($T_{\text{avg}} = +1$ °C; $E_p = +2.3\%$; $P = -1.6\%$), RCP4.5 ($T_{\text{avg}} = +1.6$ °C; $E_p = +3.5\%$; $P = -0.5\%$), and RCP8.5 ($T_{\text{avg}} = +2.7$ °C; $E_p = +5.3\%$; $P = +2.82\%$). More importantly, there is a 100% agreement among the RCM–GCM models concerning the increase in air temperature across all the RCPs and projection periods. Therefore, there is a high confidence in future climate warming of the VRB region in West Africa during the 21st century. These findings align with previous studies in West Africa (Dosio et al., 2020; Todzo et al., 2020; Jin et al., 2018; Yeboah et al., 2022). Similar to Dosio et al. (2019), a lower RCM–GCM agreement of 63% is found for future changes in rainfall, thereby highlighting the

complexity of modelling climate in West Africa (Fitzpatrick et al., 2020; Panthou et al., 2012).

In contrast to the climatic variables, the hydrological variables (total runoff, actual evaporation, ground-water recharge, soil moisture, and terrestrial water storage) decrease under RCP2.6 and RCP4.5, and only increase under the RCP8.5 scenario during the period 2021–2100 (Fig. 9), thereby following the patterns of the projected changes in rainfall. The multi-model ensemble mean of long-term annual estimates of hydrological variables for all RCPs over the historical period is as follows: $E_a = 929 \text{ mm yr}^{-1}$, $Q_{\text{run}} = 71 \text{ mm yr}^{-1}$, $R_f = 11.4 \text{ mm yr}^{-1}$, $S_u = 0.58 \text{ mm mm}^{-1}$, and $S_t = 490 \text{ mm}$ (Fig. S32). The median annual changes in hydrological variables over 2021–2100 vary between RCP2.6 ($E_a = -1.2\%$; $Q_{\text{run}} = -9.9\%$; $R_f = -10.9\%$; $S_u = -1.7\%$; $S_t = -1.9\%$), RCP4.5 ($E_a = -0.8\%$; $Q_{\text{run}} = -2.9\%$; $R_f = -4.2\%$; $S_u = -1.9\%$; $S_t = -1.7\%$), and RCP8.5 ($E_a = +1.3\%$; $Q_{\text{run}} = +21.4\%$; $R_f = +18.3\%$; $S_u = +0.3\%$; $S_t = +1.1\%$). It can be concluded from these findings that an intensification of the hydrological cycle (i.e. increase in the magnitude of hydrological variables) in the VRB is projected only under the RCP8.5 scenario.

The multi-model ensemble mean of water availability is $65 \text{ mm yr}^{-1}$ over the historical period. The changes in water
<figure><img src="image_6.png" /><figcaption>**Figure 5.** Annual cycles of climatic and hydrological variables over the historical and future periods (under RCP8.5). Each box plot represents the spread among the RCM-GCMs combinations (18 models). *P* – rainfall; *T*<sub>avg</sub> – average air temperature; *E*<sub>p</sub> – potential evaporation; *E*<sub>a</sub> – actual evaporation; *S*<sub>u</sub> – root zone soil moisture; *S*<sub>t</sub> – terrestrial water storage; *Q*<sub>run</sub> – total runoff; *R*<sub>r</sub> – groundwater recharge. *P* and *T*<sub>avg</sub> are RCM-GCM simulated, while the other variables come from the hydrological model.</figcaption></figure>

availability are driven by the variations in rainfall, with a pro-
jected median increase of +20.3% only under RCP8.5 over
the 21st century, and a reduction of –11.3% under RCP2.6
and –0.6% under RCP4.5.

**4.5 Spatial patterns of hydroclimatic variables across climatic zones**

The spatial patterns of the inter-model median of annual cli-
matic variables show a north–south gradient of increasing
rainfall and decreasing air temperature and decreasing po-
tential evaporation (Fig. 10), which is in line with the arid-
ity gradient of the eco-climatic zones in the VRB (Fig. 1).
The spatial average of the multi-model ensemble of hydro-
climatic variables per climatic zones in the VRB, considering
all RCPs over the historical period, is given in Table 3.

The changes in spatial patterns of climatic variables un-
der RCP8.5 illustrate a clear increase in air temperature and
potential evaporation over the 21st century, with higher in-
crease rates in the Sahelian zone and the northern regions of
the VRB (Fig. 10; see other RCPs in Figs. S33–S37). The
future projections show a decrease in rainfall under RCP2.6
and RCP4.5 from the Sahelian to the Sudanian zones, which
correspond to the northern and central parts of the VRB
(Figs. S33–S37). The increase in rainfall is projected mainly

under RCP8.5, with higher increase rates localized from the
Guinean to the Sudano-Sahelian zones, which correspond to
the south and central regions of the VRB (Fig. 10).

The spatial patterns of the hydrological variables under RCP8.5 are depicted in Fig. 11 (see Figs. S38–S43 for other RCPs). Changes in annual actual evaporation, total runoff, and groundwater recharge depict similar spatial patterns to those of rainfall, with the exception that total runoff and groundwater recharge tend to increase in the Sahelian zone. Soil moisture and terrestrial water storage projections show a persistent decrease over most of the VRB area and particularly over the eastern regions. The analysis of projected future water availability per climatic zones in the VRB reveals an opposite pattern to the “dry gets drier, wet gets wetter” paradigm (Byrne and O’Gorman, 2015; Greve et al., 2014). The dry regions of the VRB (Sahelian and Sudano-Sahelian zones) are projected to become wetter, while the wet (Sudanian and Guinean zones) are projected to become drier under RCP2.6 and RCP4.5. However, all climatic zones in the VRB are projected to become wetter under RCP8.5.

The spatial inter-model variability depicts different pat-
terns across hydroclimatic variables and across RCPs and
projection periods (Figs. S44–S54). The highest differences
among the simulations from climatic models are found gen-
erally in the northern dry regions (Sahelian zone) and in the
<figure><img src="image_7.png" /><figcaption>**Figure 6.** Mean seasonal changes (%) in climatic variables (*P*, *T*<sub>avg</sub>, and *E*<sub>p</sub>) over the future periods (2021–2050, 2051–2080, and 2071–2100) relative to the historical period (1991–2020).</figcaption></figure>

<table><caption>**Table 3.** Annual average of hydroclimatic variables per climatic zones corresponding to the median of all RCM–GCM combinations and all RCPs over the historical period.</caption><thead><tr><th rowspan="2"></th><th rowspan="2">VRB</th><th colspan="4">Climatic zones in the VRB</th></tr><tr><th>Sahelian</th><th>Sudano-Sahelian</th><th>Sudanian</th><th>Guinean</th></tr></thead><tbody><tr><td>Aridity index (E<sub>p</sub>/P)</td><td>2.6</td><td>5.6</td><td>3.6</td><td>2.5</td><td>1.8</td></tr><tr><td>P (mm yr<sup>-1</sup>)</td><td>991</td><td>516</td><td>782</td><td>1035</td><td>1243</td></tr><tr><td>T<sub>avg</sub> (°C)</td><td>28.4</td><td>29.7</td><td>29.0</td><td>28.3</td><td>27.8</td></tr><tr><td>E<sub>p</sub> (mm yr<sup>-1</sup>)</td><td>2580</td><td>2915</td><td>2849</td><td>2577</td><td>2248</td></tr><tr><td>E<sub>a</sub> (mm yr<sup>-1</sup>)</td><td>927</td><td>498</td><td>754</td><td>977</td><td>1110</td></tr><tr><td>Q<sub>run</sub> (mm yr<sup>-1</sup>)</td><td>69</td><td>17</td><td>27</td><td>57</td><td>132</td></tr><tr><td>S<sub>u</sub> (mm mm<sup>-1</sup>)</td><td>0.58</td><td>0.32</td><td>0.50</td><td>0.59</td><td>0.67</td></tr><tr><td>S<sub>t</sub> (mm)</td><td>490</td><td>148</td><td>408</td><td>506</td><td>593</td></tr><tr><td>R<sub>r</sub> (mm yr<sup>-1</sup>)</td><td>11</td><td>5</td><td>5</td><td>10</td><td>21</td></tr><tr><td>P - E<sub>a</sub> (mm yr<sup>-1</sup>)</td><td>70</td><td>17</td><td>28</td><td>59</td><td>133</td></tr></tbody></table>
<figure><img src="image_8.png" /><figcaption>**Figure 7.** Mean seasonal changes (%) in hydrological variables (*E*<sub>a</sub>, *Q*<sub>run</sub>, *R*<sub>f</sub>, *S*<sub>u</sub>, and *S*<sub>t</sub>) over the future periods (2021–2050, 2051–2080, and 2071–2100) relative to the historical period (1991–2020).</figcaption></figure>
<figure><img src="image_9.png" /><figcaption>**Figure 8.** Average inter-model (i.e. RCM–GCMs) variability expressed with the second-order coefficient of variation ($V_2$) for monthly hydroclimatic variables ($T_{max}$, $T_{min}$, $T_{avg}$, $P$, $E_p$, $E_a$, $Q_{run}$, $R_r$, $S_u$, and $S_t$) over the historical period (1991–2020) and the future period (2021–2100) under various RCPs.</figcaption></figure>

<figure><img src="image_10.png" /><figcaption>**Figure 9.** Annual changes in future hydroclimatic variables and water availability ($P - E_a$) relative to the historical period for RCP2.6 (9 models), RCP4.5 (16 models), and RCP8.5 (18 models).</figcaption></figure>

forested southwestern wet region (Guinean zone) of the VRB under RCP8.5.

## 4.6 Changes in high and low flows

The projected future changes in high and low flows are summarized in Fig. 12 (Fig. S55 illustrates historical and future changes). Changes in low flows indicate an overall median increase in $Q_{90}$ in all the sub-basins under RCP8.5 as follows: Black Volta (+30%), White Volta (+16%) and Oti (+14%), with an RCM–GCM agreement on the direction of change of 69%, 63%, and 57%, respectively. It is noteworthy that median $Q_{90}$ is projected to decrease by -4% in the White Volta over the period 2051–2080 under RCP8.5. The

trends in the median changes in $Q_{90}$ are contrasted across the future periods for RCP2.6 and RCP4.5. Tables S1–S2 provide details on the direction of change between the RCM–GCM combinations, which, on average, varies between 50% and 78% for $Q_{90}$ and between 56% and 75% for $Q_{10}$, depending on RCPs and climate projection periods.

For high flows, $Q_{10}$ is projected to increase in all the sub-basins under RCP8.5, on average, by +20% in the Black Volta, +2% in the White Volta, and +6% in the Oti over the period 2021–2100, with an RCM–GCM agreement on the direction of change of 65%, 63%, and 59%, respectively. However, it is noteworthy that $Q_{10}$ for the period 2051–2080 under RCP8.5 is projected to decrease by -14% in the White Volta and by -10% in the Oti. Under RCP2.6 and RCP4.5,
<figure><img src="image_11.png" /><figcaption>**Figure 10.** Spatial patterns of the long-term average of annual climatic variables over the historical period (1991–2020) and changes over future periods (2021–2100) under RCP8.5 (median of 18 models).</figcaption></figure>

a decrease in $Q_{10}$ is projected from 2051 to 2100 in all the sub-basins. The highest median decrease in $Q_{10}$ over the 21st century in the sub-basins is –6% in the Black Volta under RCP4.5, –16% in the White Volta under RCP2.6, and –20% in the Oti under RCP2.6. Both high and low flows are projected to increase with different magnitudes under all RCPs in the Black Volta and the White Volta over the period 2021–2050, while low flows are projected to increase under all RCPs in the Oti over the period 2051–2080.

Among the sub-basins, the Black Volta presents the highest probability of an increase in the 10-year flood over the 21st century. The White Volta is prone to an increase in flood risk in the period 2021–2050, while river drought risk is projected to increase over the period 2051–2100.

The evolutions of the dates of occurrence and the concentration of the date of occurrence of $Q_{10}$ and $Q_{90}$ are illustrated in Figs. 13 and S57. The median date of occurrence of $Q_{10}$ ($D_{Q_{10}}$) varies between the Julian calendar days 254 and 261 (second dekad of September), on average, across the three sub-basins (Black Volta, White Volta, and Oti) over the historical period, and it is projected to drop by –2 d under RCP2.6 and RCP4.5 and increase by +2 d under RCP8.5 over the 21st century. However, higher changes are projected in the Black Volta ($\Delta D_{Q_{10}}$ = –4 d under RCP2.6), White Volta ($\Delta D_{Q_{10}}$ = –6 d under RCP2.6), and the Oti ($\Delta D_{Q_{10}}$ = +5 d under RCP8.5) over 2051–2080. The concentration of the date of occurrence (R) of $D_{Q_{10}}$ shows a high season-

ality in the occurrence of high flows ($R_{Q_{10}}$ = 0.94) across sub-basins, which does not change considerably over the 21st century (Fig. S57).

In contrast to $D_{Q_{10}}$, the median $D_{Q_{90}}$ varies between 126 and 132 (first to second dekad of May) over the historical period and rises on average by +5 d over future periods and across sub-basins. However, notable rises in $D_{Q_{90}}$ are observed in each sub-basins during 2071–2100 as follows: Black Volta ($\Delta D_{Q_{90}}$ = +9 d under RCP8.5), White Volta ($\Delta D_{Q_{90}}$ = +11 d under RCP8.5), and Oti ($\Delta D_{Q_{90}}$ = +10 d under RCP2.6), which might be explained by the forward shift of the rainy season. The median $R_{Q_{90}}$ is 0.74 on average across sub-basins and slightly drops in the future, denoting a higher variation in the seasonality of low flows.

## 4.7 Climate sensitivity

The sensitivity of selected hydrological variables to changes in climatic variables over the historical and future periods is illustrated in Fig. 14 (see Fig. S58 for additional variables). The relative changes in hydroclimatic variables are estimated in percentage over the three future periods compared to the historical period. Larger changes in hydroclimatic variables are simulated with increasing radiative forcing levels over the future period.
<figure><img src="image_12.png" /><figcaption>**Figure 11.** Spatial patterns of the long-term average of annual hydrological variables and water availability over the historical period (1991–2020) and changes over future periods (2021–2100) under RCP8.5 (median of 18 models).</figcaption></figure>

The VRB illustrates highly nonlinear behaviour. An increase in annual rainfall by 10% results in an increase in total runoff by ~50% and an increase in actual evaporation by ~6%. A 10% decrease in annual rainfall leads to ~30% decrease in total runoff and ~7% decrease in actual evaporation. Annual actual evaporation represents 93% of annual rainfall, while total runoff represents 7% of annual rainfall. However, small changes in the rainfall regime might strongly affect the total runoff regime. A 5% increase in annual

average air temperature leads to an increase of ~3% in potential evaporation. However, heteroscedasticity is observed for changes in air temperature and potential evaporation as the variability increases with higher rates of change (Fig. 14f). This analysis reveals a high sensitivity of major fluxes ($Q_{run}$ and $E_a$) to even small changes in $P$ in the VRB, a finding consistent with previous studies in the region (Roudier et al., 2014), and more generally in dryland regions globally (Berghuijs et al., 2017).
<figure><img src="image_13.png" /><figcaption>**Figure 12.** Changes in future high flows (Q₁₀) and low flows (Q₉₀) in the major sub-basins of the VRB (Black Volta, White Volta, and Oti). The changes in percentage over the future periods are relative to the historical period (1991–2021).</figcaption></figure>

<figure><img src="image_14.png" /><figcaption>**Figure 13.** Mean Julian dates of occurrence (D) of annual high flows (Q₁₀) and low flows (Q₉₀) over the historical (1991–2020) and future periods in the major sub-basins of the VRB (Black Volta, White Volta, and Oti).</figcaption></figure>

# 5 Discussion

A direct comparison of our results to previous studies in the region is restricted by the differences in the choice of RCM-GCM models, RCPs, future projections periods, and the baseline period, which alone might lead to different outcomes (Liersch et al., 2020). However, our results generally corroborate with comparable previous studies in the region (Aich et al., 2016; Roudier et al., 2014; Sidibe et al., 2020; Rameshwaran et al., 2021). It is noteworthy that total runoff is projected to increase, while rainfall decreases under the RCP2.6 and RCP4.5 during the period 2021–2050. This paradoxical phenomenon of rainfall-runoff negative correlation is commonly referred to as the Sahelian paradox (Mahé and Paturel, 2009). The percentage of agreement of 63% for hydrological projections between the climate models is similar to that of rainfall, which supports that rainfall is the key driver of hydrological processes in the VRB, thereby

confirming the findings of Roudier et al. (2014). Vetter et al. (2015) also found a high variability in rainfall projections among climate models in the Upper Niger basin. Therefore, the improvement in the rainfall representation in climate models, which hardly represent the West African monsoon (Akinsanola et al., 2020; Philippon et al., 2010; Xue et al., 2010), would ultimately enhance the reliability of the assessment of climate change impacts on water resources (Dosio et al., 2021). The development of convection-permitting climate models to better capture complex climate features in the region at higher resolutions would help (Berthou et al., 2019; Kendon et al., 2017, 2019). The projected decrease of rainfall under RCP2.6 and RCP4.5, whereas an increase is projected under RCP8.5, can be explained by the higher warming level under RCP8.5. Higher warming would lead to increased evaporation, resulting in increased water vapour in the atmosphere, which would turn into increased precipitation (Donat et al., 2016; Trenberth, 2011). As the num-
<figure><img src="image_15.png" /><figcaption>**Figure 14.** Climate sensitivity of hydrological processes in the VRB over the historical period (a, c, e) with the associated future changes (b, d, f). The coloured dots represent RCM–GCM combinations per RCP, and the coloured dashed lines represent the fitted linear regression.</figcaption></figure>

The large ensemble of RCM and GCM datasets used in this study allows the quantification of model-related projection uncertainties in terms of inter-model variabilities. In general, the selection of the best-performing climate models for hydrological modelling is not straightforward (Dosio et al., 2019; Hakala et al., 2019). Therefore, all the RCM–GCM combinations are used in this study without weighting or excluding models because the performance of models in the future is not necessarily related to their performance in the present (Dosio et al., 2020). More detailed analyses using methods for climate model selection (Kiesel et al., 2020; Ross and Najjar, 2019; Merrifield et al., 2020; Abramowitz et al., 2019; Ahmed et al., 2019) with the updated CMIP6 models (Eyring et al., 2016) and the new Shared Socioeconomic
Pathways (SSPs; O'Neill et al., 2014, 2017; Riahi et al., 2017) are left for future work. For uncertainty dependence on ensemble composition, further attention should be given to single-model initial condition large ensembles (SMILES; Milinski et al., 2020; Maher et al., 2021).

A further potential limitation arises from the imposed stationarity of the dependences between variables related to the used bias-correction method, although the used R2D2 method assumes some non-stationarity in the marginals (i.e. univariate distributions). However, predicting non-stationarity of dependence biases under climate change is not straightforward. With advances in multivariate bias correction methods (François et al., 2020), the added value of methods that consider non-stationarity in climate (e.g. dOTC; Robin et al., 2019) could be investigated in climate impact studies on water resources (Y. Yang et al., 2021).

Although multiple RCMs, GCMs, and RCPs are used in this study, a single hydrological model is used for the hydrological projections. Therefore, the results are also subject to potential deficiencies of the mHM model, as hydrological models are known to be a source of uncertainty in climate change impact studies (Vetter et al., 2017; Hattermann et al., 2018; Mendoza et al., 2015; Giuntoli et al., 2015; Hagemann et al., 2013). For instance, mHM does not explicitly consider the effect of vegetation dynamics associated with climate change that would modify runoff processes, which can be a limitation that is also observed in previous studies (Duethmann et al., 2020; Hanus et al., 2021; Wu et al., 2016). However, the mHM model used in this study has been thoroughly calibrated to provide realistic simulations of hydrological state variables and fluxes in the VRB (Dembélé et al., 2020a).

In addition to the hydrological model itself, the choice of the method for the calculation of potential evaporation can introduce uncertainties in the hydrological projections as reported in previous studies (Prudhomme and Williamson, 2013; Seiller and Anctil, 2016). The lack of atmospheric coupling between purely temperature-driven potential evaporation and the hydrological cycle in the hydrological model projections means some important feedbacks, such as surface resistance, may be missing (Milly and Dunne, 2016; Yang et al., 2019) and will not incorporate other mechanisms important in atmospheric demand. However, it is worth noting that the importance of this missing feedback has thus far only been evaluated for conditions in which water availability is not a limiting factor, a condition that is rarely met in the VRB. Moreover, even a more suitable method for estimating potential evaporation (e.g. Penman-Monteith), which can also be adjusted for surface resistance changes in future climates (Yang et al., 2019), is, to the first order, still expected to generate potential evaporation rates higher than precipitation. Therefore, the increase in soil moisture and actual evaporation will likely still be very large in response to the increase in precipitation. Nonetheless, the long-term CO₂-vegetation-driven evaporation feedbacks not considered here

could be very important for lower flow and drought conditions and need consideration in future work. The use of RCMs to downscale, which generally do not have the appropriate CO₂-vegetation feedbacks in contrast to GCMs, is also an issue that needs to be addressed in future downscaling projects.

Furthermore, the hydrological projections generated in this study focus on changes in climate and do not explicitly account for land use and land cover change or changes in water management practices in the VRB. Although, land use and land cover changes play an important role in the hydrological processes, the primary focus in this study is constraining the impact of climate change alone. However, land use changes are assumed to be accounted for to some extent in the RCPs, as their development is based on assumptions regarding future evolution of land use and land cover (Van Vuuren et al., 2011). Nevertheless, given the dominance of the evaporation response, future work accounting for potential land use and land cover changes in response to the climate scenarios provided here will be needed. Finally, large basin studies of climate change impacts on water resources need to consider human interactions with the hydrological cycle to better integrate the co-evolution of the human-water systems across scales (D. Yang et al., 2021).

## 6 Conclusion

A large ensemble of 12 GCMs from CMIP5 and 5 RCMs from CORDEX-Africa is used to investigate the impacts of climate change on water resources in the Volta River basin under 3 RCPs. The climate projection datasets are used to force the fully distributed mesoscale Hydrologic Model (mHM) over the 21st century. Changes in hydrological processes over the future periods 2021–2050, 2051–2080, and 2071–2100 are estimated relatively to the historical period 1991–2020. The results reveal contrasting changes in the hydrological cycle, depending on RCPs and future projection periods. The key findings are summarized as follows:

- Climate warming is projected in the Volta basin as all RCM-GCM projections predict an increase in air temperature under all RCPs, accompanied by an increase in annual potential evaporation.

- Rainfall is projected to decrease under RCP2.6 and RCP4.5, while an increase is projected under RCP8.5, with a direct correlated and contrasting impact on water availability in the Volta River basin. Compared to temperature, there are more uncertainties in the trend of the changes in rainfall projections as there is only an agreement of 63% on the direction of change between the RCM-GCM models, which leads to more uncertainty in the prediction of hydrological variables.

- The seasonality of rainfall is projected to shift forward in the future, with the concentration period of the
rainy season moving towards the months of August and September.

- Annual actual evaporation, total runoff, groundwater recharge, soil moisture, and terrestrial water storage decline under RCP2.6 and RCP4.5, while they increase under RCP8.5 following the trends in rainfall. In fact, a strong sensitivity of hydrological processes to climate variability is found.

- The analysis of high and low flows suggests an increased risk for floods under RCP8.5 over the 21st century, while an increased risk for hydrological drought is projected under RCP2.6 and RCP4.5 from the mid-21st century.

- There is a higher variation in the seasonality of low flows as compared to high flows, with a delay of up to 11 d in the future occurrence of low flows. High flows could occur on average 6 d earlier or later under RCP2.6 and RCP8.5, respectively.

- The spatial projections of future water availability per climatic zones depict a “dry gets wet, wet gets dry” pattern under RCP2.6 and RCP4.5.

- Contrary to the other RCPs, under RCP8.5, the projected climate changes lead to a clear intensification of the entire hydrological cycle, i.e. an increase in the magnitude of hydroclimatic variables.

- The changes in the hydrological cycle have important implications for future floods and droughts in the Volta basin, thereby amplifying the vulnerability of the local population to climate change. These findings can contribute to the elaboration of regional adaptation and mitigation strategies of climate change. However, significant inter-model variabilities of the climate models and low to moderate agreement between RCM-GCM combinations on the direction of changes highlight the complexity and uncertainties related to the assessment of climate change impacts on water resources. Therefore, more work is required to improve climate modelling in West Africa. A strong collaboration between climate and water resources scientists, practitioners, and policymakers is key for advancing knowledge and development.

**Code availability.** The source code of the mHM model is available at https://doi.org/10.5281/zenodo.1299584 (Samaniego et al., 2018).

**Data availability.** CORDEX data can be accessed from the ESGF database at https://esgf-data.dkrz.de (ESGF, 2020). The hydrological modelling database is accessible at https://doi.org/10.5281/zenodo.3531873 (Dembélé, 2019).

**Supplement.** The supplement related to this article is available online at: https://doi.org/10.5194/hess-26-1481-2022-supplement.

**Author contributions.** MD designed the experiment and carried out the analyses. MV provided guidance for the use of the R2D2 method. MD drafted the paper, and all co-authors contributed to the writing, review and editing. BS and GM supervised the work.

**Competing interests.** At least one of the (co-)authors is a member of the editorial board of *Hydrology and Earth System Sciences*. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.

**Disclaimer.** Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

**Acknowledgements.** We are grateful to the developers of mHM at CHS/UFZ (Germany), for their open-source model. We thank the providers of the streamflow data obtained from the Volta Basin Authority (VBA), the Direction Générale des Ressources en Eau (DGRE) of Burkina Faso, the Hydrological Services Department (HSD) of Ghana, and the Direction Générale de l’Eau et de l’Assainissement (DGEA) of Togo. We thank the developers of the global and regional climate models participating in the CORDEX initiative.

**Financial support.** Moctar Dembélé has been supported by the Swiss Government Excellence Scholarship (grant no. 2016.0533/Burkina Faso/OP), the Doc.Mobility fellowship (SNF; grant no. P1LAP2_178071) of the Swiss National Science Foundation, and the Hydro-JULES visiting scientist fellowship (UKCEH; grant no. NERC NE/S017380/1). Bettina Schaefli has been supported by a research grant of the Swiss National Science Foundation (SNF; grant no. PP00P2_157611). Mathieu Vrac has been supported by the CoCLI Serv project, which is part of ERA4CS, an ERA-NET initiated by JPI Climate and co-funded by the European Union (grant no. 690462).

**Review statement.** This paper was edited by Yi He and reviewed by two anonymous referees.

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