The changing nature
of hydroclimatic risks
across Southern Africa
C. Adam Schlosser, Andrei Sokolov, Ken Strzepek, Tim
Thomas, Xiang Gao, and Channing Arndt
SA-TIED Working Paper #101 | March 2020
About the programme
Southern Africa –Towards Inclusive Economic Development (SA-TIED)
SA-TIED is a unique collaboration between local and international research institutes and the government of
South Africa. Its primary goal is to improve the interface between research and policy by producing cutting-edge
research for inclusive growth and economic transformation in the southern African region. It is hoped that the SATIED programme will lead to greater institutional and individual capacities, improve database management and
data analysis, and provide research outputs that assist in the formulation of evidence-based economic policy.
The collaboration is between the United Nations University World Institute for Development Economics Research
(UNU-WIDER), the National Treasury of South Africa, the International Food Policy Research Institute (IFPRI),
the Department of Monitoring, Planning, and Evaluation, the Department of Trade and Industry, South African
Revenue Services, Trade and Industrial Policy Strategies, and other universities and institutes. It is funded by
the National Treasury of South Africa, the Department of Trade and Industry of South Africa, the Delegation of
the European Union to South Africa, IFPRI, and UNU-WIDER through the Institute’s contributions from Finland,
Sweden, and the United Kingdom to its research programme.
Copyright © The Author(s) 2020
Corresponding author:
[email protected]
The views expressed in SA-TIED working papers are those of the author(s) and do not necessarily represent the
views of the programme partners or its donors.
Towards Inclusive Economic
Development in Southern Africa
SA-TIED | Working Paper #101 | March 2020
The changing nature of
hydroclimatic risks across
Southern Africa
C. Adam Schlosser, Andrei Sokolov, Ken Strzepek, Tim Thomas, Xiang Gao,
and Channing Arndt
ABSTRACT
This study presents results from a large ensemble of projected changes in seasonal precipitation and
near-surface air temperature changes for the nation of South Africa. The ensemble is based on a
combination of pattern-change responses derived from the Coupled Model Intercomparison Project
Phase 5 (CMIP-5) climate models along with the Massachusetts Institute of Technology Integrated
Global Systems Model (MIT-IGSM), an intermediate complexity earth-system model coupled to a
global economic model that evaluates uncertainty in socio-economic growth, anthropogenic
emissions, and global environmental response. Numerical experimentation with the MIT-IGSM
considered four scenarios of future climate and socio-economic development to span a range of
possible global actions to abate greenhouse gas emissions through the 21st century. We evaluate
distributions of surface-air temperature and precipitation change over three regions across South
Africa: western (WSoAfr), central (CSoAfr), and eastern (ESoAfr) South Africa. In all regions, by midcentury, we find a strong likelihood (greater than 50%) that temperatures will rise considerably higher
than the current climate’s range of variability (a threefold increase over the current climate’s twostandard deviation range of variability). In addition, scenarios that consider more aggressive global
climate targets (e.g. 2C and 15C scenarios) all but eliminate the risk of these acutely salient
temperature increases. For precipitation, there is a preponderance of risk toward decreased
precipitation (3 to 4 times higher than increased) for western and central parts of South Africa. There
is a clear benefit seen within the evolving hydroclimatic risks as a result of strong climate targets, such
as limiting the global climate warming to 1.5˚C by 2100. We find that the risk of precipitation changes
in the 15C scenario toward the end of this century (2065-2074) is nearly identical to that seen in the
REF scenario during the 2030s. Thus, the climate risk that may be experienced in a decade as a result
of current global actions to reduce emissions could be delayed by 30 years, and would provide
invaluable lead-time for national efforts to be put in place to prepare, fortify, and/or adapt to these
changing environments of risk.
The changing nature of hydroclimatic risks across Southern Africa
2
1
INTRODUCTION
Evidence is mounting that Africa’s climate is changing and that these trends will continue through the
21st century (e.g. Niang et al., 2014). However, a range of outcomes in climate-change projections
derived from individual assessments exist and studies performed with a small sample size of model
simulations remain somewhat inconclusive (e.g. Cretat et al., 2012). While current efforts to provide
more spatially refined climate-change information over Africa are ongoing (e.g. Lennard et al., 2018),
these efforts require computationally expensive and time consumptive models to be exercised.
Therefore, there remains a distinct need for efficient methods that provide comprehensive samples of
all the plausible model solutions to future climate. Further, these methods should also have the ability
to consider a number of different scenarios that consider a range of global emissions pathways and/or
climate targets and provide spatial details of climate that are commensurate to the needs of regional
impact studies. This study analyses the likelihood of changes in precipitation and surface-air
temperature in the coming decades and into the latter half of this century for the greater southern
Africa region with a regional emphasis over South Africa. We present a technique used to construct
pattern-kernels of climate change based on information of regional change from climate models
(Schlosser et al., 2012) and the application of these patterns of change to downscale the zonal output
of the MIT Integrated Global System Model (Reilly et al., 2018). Given the large-ensemble approach
employed by the IGSM, the fusion of these pattern-kernels to the IGSM simulations results in
frequency (or likelihood) distributions. We evaluate these distributions for temperature and
precipitation averaged over three selected regions over South Africa that are chosen to correspond
with important climatic classification. We evaluate and identify the salient shifts in these derived
distributions from a reference emission scenario to moderate to aggressive climate-stabilization
policies. We close with summary remarks and discussion of ongoing work and applications.
2
2.1
ASSESSMENT OF REGIONAL CLIMATE SHIFTS
Region of study
The overall area of study (Figure 1) is an extension and complement to prior work (Arndt et al., 2019;
Schlosser and Strzepek, 2015; Fant et al., 2015) that provides multi-sector socio-economicenvironmental assessments of climate risks for developing nations across Africa, and the effectiveness
of low-carbon pathways to reduce risks. This study will present a broad view of potential climate shifts
over southern Africa and focus on two hydro-climatic variables precipitation (P) and near-surface air
temperature (Ta), and these will be used as inputs for assessments of climate-change impacts to
agriculture yields (Thomas et al. 2020, forthcoming) within South Africa. In this vein, we focus on three
sub-regions across South Africa (denoted in Figure 1) and provide a more quantitative analysis of
climate risk and the impact of low-carbon pathways across three decadal epochs (2030s, 2050s, and
2065-75). A description of the model experimentation and methodology is provided in the next
section. Below we describe some of the distinct seasonal features of temperature and precipitation of
the current climate that are aligned and distinguish our three regional areas of focus: eastern, central,
and western South Africa (ESoAfr, CSoAfr, and WSoAfr, respectively). Our historical assessment is
based on the observations taken from the Global Precipitation Climatology Project (GPCP, Huffman et
al, 2009, and updates by Adler et al., 2018) as well as surface-air temperature from the Climate
Research Unit (CRU, e.g. Osborn et al., 2014).
The changing nature of hydroclimatic risks across Southern Africa
3
Figure 1. Map of the overall area of study – areas of regional focus within South Africa are indicated by red
boxes. These regions cover the western (WSoAfr), central (CSoAfr), and eastern (ESoAfr) sections of South
Africa. This map has been adapted from an image archive available at
https://www.worldatlas.com/webimage/countrys/afpoliticallg.htm.
The western South Africa (WSoAfr) region is primarily distinguished by the persistently lowest rates of
precipitation across all seasons (Figure 2 and Table 1). This also results in the weakest amplitude in the
seasonal cycle of precipitation. Further, due to the localized precipitation maxima over the Cape Town
area during JJA, the seasonal cycle of precipitation averaged over the WSoAfr region is opposite in
phase to the CSoAfr and ESoAfr regions. In contrast, the ESoAfr region experiences the highest
precipitation rates during the summer (DJF) season, and the transition to the wet season is abrupt as
the landscape of spring season (SON) precipitation is very similar to the winter (JJA). Given these strong
contrasts between the western and eastern flanks of South Africa, the CSoAfr region represents a
distinct transition region, with a seasonal cycle that is in phase with but an amplitude that is almost
half that of ESoAfr. The seasonality of surface-air temperature exhibits more consistency across these
regions compared to precipitation (Figure 3 and Table 1). The area-averaged, seasonal cycles are all in
phase and comparable in terms of magnitude. A notable distinction is that ESoAfr experiences the
warmest temperatures during the winter season (JJA), yet it contains the largest area of coolest
temperatures (along its inland western flank) as well as the location of the coolest temperature for the
region. However, this is more than offset by the warmest temperatures along its coastal boundary. In
contrast, the WSoAfr and CSoAfr regions do not experience as strong a contrast in surface-air
temperatures.In order to gauge a degree of salience to the changes produced by the ensemble
scenarios of change (described in the next sections), we have also assessed the interdecadal standard
deviation of the seasonal, area-averaged quantities (Table 1, in italics). For surface-air temperature,
the standard deviations are very consistent across seasons and the regions. For precipitation, the
highest variabilities follow the region and season of highest mean (CSoAfr and ESoAfr during DJF). In
our assessment of the distribution of changes across the 21st century (Section 2.4), we will highlight
the portions of the distributions that are in exceedance to these variance statistics, and in this way,
represent the risk of salient change.
The changing nature of hydroclimatic risks across Southern Africa
4
Figure 2: Seasonal averaged (1979-2009) maps of surface-air temperature for southern Africa. Results are
shown for: a) December-February; b) March-May; c) June-August; and d) September-November. Units are in
°C. Temperature data is based on the Climate Research Unit (CRU, Jones et al., 1999) data archive.
Table 1: Mean (bold) and standard deviations (italics) of area-averaged precipitation and surface-air
temperature for the western, central, and eastern South Africa regions (WSoAfr, CSoAfr, and ESoAfr
respectively) of study. Results are presented for two seasonal mean periods: December-February (DJF) and
June-August (JJA). The diagnostics of precipitation (units in mm/decads, decad=10 days) are based on the
Global Precipitation Climatology Project (units in ˚C), and surface-air temperature is based on observations
assembled by the Climate Research Unit (CRU). See text for citations to data. Statistics span the years 19792019, and note that the standard deviation estimates are based across decadal means for each season so as
to serve as a baseline for the decadal mean changes assessed in the 21st century scenario projections.
Precipitation
Temperature
WSoAfr
CSoAfr
ESoAfr
DJF
7.3 ± 0.7
23.3 ± 1.5
39.5 ± 1.7
JJA
10.0 ± 0.5
4.6 ± 1.0
5.2 ± 0.7
DJF
23.5 ± 0.3
23.0 ± 0.3
22.7 ± 0.2
JJA
11.9 ± 0.3
11.1 ± 0.3
13.9 ± 0.3
The changing nature of hydroclimatic risks across Southern Africa
5
Figure 3: Seasonal averaged maps (1979-2009) of precipitation (mm/day) for northern Africa. Results are
shown for: December-February (DJF, upper left panel); b) March-May (MAM, upper right panel); c) JuneAugust (JJA, lower left panel); and d) September-November (SON, lower right panel). Units are in mm/day.
Results are based on the data from the Global Precipitation Climatology Project (GPCP, Huffman et al., 2007).
2.2
Scenarios of global change
The set of scenarios for this exercise was selected from the 2018 Food, Energy, Water, and Climate
Outlook produced by the MIT Joint Program on the Science and Policy of Global Change (Reilly et al.,
2018). The scenarios, each run under a large ensemble of 400 members, consider a broad range of
uncertainties Earth systems’ behavior and response to natural and anthropogenic drivers (e.g. Sokolov
et al., 2018 and Libardoni et al., 2018), and also span a range of global emissions policies and are based
on a regionally detailed, multi-sector, economy-wide model that includes pricing of fossil fuels, fossil
resources, and vintage capital in capital intensive sectors (e.g. Chen et al., 2016). Under policy
scenarios, prematurely retired capital stock and the need to replace conventional energy sources with
more expensive, low-carbon options draw investment resources away from other sectors of the
economy and, thus, have an impact on GDP growth in mitigation scenarios. The reduced GDP thereby
reduces investment overall in the mitigation scenarios. However, it is reallocated toward those energy
sources that meet the emissions reduction targets at least cost.
Four scenarios, developed to span a range of possible global actions to abate greenhouse gas emissions
over the coming century, were used to explore climate-change risks.
Reference (REF)
This scenario has no explicit climate mitigation policies anywhere in the world. Thus, it represents a
world in which there is no Paris Agreement and no alternative action towards reducing emissions for
the sake of limiting climate change. However, it includes some energy policies such as fuel economy
standards, renewable electricity requirements, and the gradual phase-out of old coal power plants that
are presently occurring with various motivations. These motivations include reducing imported oil
The changing nature of hydroclimatic risks across Southern Africa
6
dependence, using less of exhaustible resources, or to reducing conventional pollutants. Such efforts
may in part reflect concerns about climate change, but the policies have no specific greenhouse gas
emissions targets. The REF serves as a baseline scenario because of its simplicity. Metrics from the
other scenarios are often presented as the difference between another scenario and the REF scenario.
It provides the upper assessment of our modeled physical risks.
Paris forever (PF)
Countries meet the mitigation targets in their Nationally Determined Contributions (NDCs) and
continue to abide by them through the end of the century. The Paris Agreement includes NDCs
submitted at the 2015 Paris Conference of the Parties (COP) of the Framework Convention on Climate
Change (FCCC). These NDCs—aimed at the reduction of CO2 and other GHG emissions—generally
deepened and extended through 2030 those made at the 2009 Copenhagen COP through 2020. These
reductions are typically expressed as (1) an absolute emissions target (ABS), measured as an annual
level of emissions measured in Mt, (2) a percentage reduction from a pre-determined baseline, which
can easily be converted into an absolute emissions target, or (3) an emissions intensity target (INT),
measured as emissions in relation to GDP.
2C
This scenario aims to limit climate warming to no higher than a 2˚C global average at 2100. This is
achieved by implementing a globally coordinated, smoothly rising carbon price – such that emissions
are reduced. Variations in mitigation policies result in the overall uncertainty of different patterns of
resource and energy use, different choices of technology, and drag on overall economic growth. This
is also combined with the uncertainty of the global climate response that is represented in the MIT
Earth System Model (MESM, Sokolov et al., 2019). As described in Reilly et al. (2018) – these coevolving uncertainties projected within a Latin-hypercube sampling results in an overall probability of
achieving the target at 66%.
15C
Similar to the 2C, this scenario aims to limit climate warming to no higher than 1.5˚C global average at
2100. Under the similar Latin-hypercube sampling of structural uncertainties within the Earth and
human model systems, this results in a 50% probability of achieving the climate target (i.e. 200 of the
400-member ensemble meets the target).
These scenarios result in distinct distributions of global averaged changes in key climate variables
(Figure 4, shown are results for decadal mean changes in the 2050s). The mid-century impact of the
more aggressive climate-based targets (i.e. 15C and 2C scenarios) is distinguished by the majority of
their distribution of outcomes falling outside the distribution of the REF scenario. In addition, shifts in
the modal value of change, the percentage of the distribution at the modal value, as well as the total
range of outcomes (i.e. width of the distribution) highlight the notable impact of the aggressive climate
targets at reducing (and eliminating) the risk of strongest changes. The PF scenario, which captures the
current global commitments to reduce emissions (under the Paris Agreement), shows a discernible
shift toward lower risks of change, yet considerable overlap (particularly for surface-air temperature)
with the REF distributions remain by mid-century. Given all these considerations, we can then gauge
the extent of how these global results translate into regional features of risk through a procedure
described in the next section.
The changing nature of hydroclimatic risks across Southern Africa
7
Figure 4. Global averaged results (Antarctica and Arctic Ocean excluded) from the MIT Earth-System Model
(MESM) show the distribution of mid-century decadalaveraged changes (2050-2059) in surface-air
temperature (left panel) and precipitation (right panel) relative to the end of the 20th-century. Shown are the
results from the four scenarios of change performed by the MIT Integrated Global System Model (IGSM)
framework: Reference (REF), Paris Forever (PF), and the 2°C and 1.5°C climate targets (2C and 15C,
respectively). Refer to text for a description of the scenarios. Note for visual clarity (to highlight the impact of
the scenarios), these distributions are shown as curve fits to the binned distributions of outcome values
(denoted by the abscissa values).
2.3
Regional climate-change pattern kernels
Our construction of the regional distributions of change follows previous work presented by Schlosser
et al. (2012). The underlying motivation for this approach is driven by the MIT Earth Systems Model
(MESM, Sokolov et al., 2018) providing probabilistic projections of Ta and precipitation at the zonal
level of detail. In to provide regional texture to these outcomes, we must expand this information
across longitudes. The technique employs a Taylor expansion technique. This transformation results in
the construction of climate-change pattern kernels - and these kernels are scaled by global
temperature change, and the numerical relationship can be expressed as:
(1)
where
is the climatological downscaling transformation coefficient (altering the zonal mean
value to assign a particular value for a longitudinal point along the zonal band) for any reference time
period, and we base this climatological coefficient on observational data. The observational data
sources are the same as those used in the prior section that summarized the historical climates for our
study region (GPCP and CRU). The projected change in globally averaged temperature, ∆TGlobal, is
relative to a reference or climatological period (1980-1999). The derivative of these transformation
coefficients,
, for any point (x,y) are discretely estimated from climate model information (for
further details, see Schlosser et al., 2012). Therefore, the
terms serve as “pattern-change
kernels” (PCKs) of regional climate shifts. We construct a set of these PCKs based on the results from
the Coupled Model Intercomparison Project Phase 5 (CMIP5, Taylor et al., 2012), and as a result, this
provides the regional basis for the large ensembles that allow us to construct distributions of change.
The CMIP5 model archive provides a comprehensive set of outputs from climate and Earth-system
models that have been developed at institutes across the international scientific community. In some
cases, these institutes submitted multiple results that were conducted by their model under a variety
of different configurations (e.g. different spatial resolutions and/or various parameterization
prescriptions). In constructing this meta-ensemble, we did not incorporate “sibling” model results and
The changing nature of hydroclimatic risks across Southern Africa
8
instead selected only one set of model results per institute to determine a representative PCK. This
was done in order to avoid biasing in the meta-distribution that would result from using “sibling” PCKs
(and thereby inappropriately stacking a regional pattern of change). Given the problematic nature of
assessing the relative fidelity climate model projections (e.g. Reifen and Toumi, 2009), there was no
preferential selection to one model result (e.g. the highest spatial resolution) when multiple
configurations were available from an institute. This was also done so as to avoid any other possible
sources of biasing when deriving these PCKs across all the models/institutes, and to achieve a diverse
sampling of outcomes. As a result, the model results from 17 distinct institutes that participated in the
CMIP5 exercise were used. Each of the PCKs were constructed at the native model resolution, and then
interpolated to a 2˚x2.5˚ common grid, which was commensurate with the coarsest model grid from
the CMIP5 model pool. Combined with the 400 members of a MESM model scenario via (1) to obtain
patterns of change results in a meta-ensemble of 6,800 members per scenario. This 6,800 member
meta-ensemble we refer to as a “hybrid frequency distribution” (HFD), and it is this set of results that
is used as the basis of our risk quantification, and the impact of global policy and climate targets, in
the regional analysis. As a precursory assessment, we summarize the model-mean, consensus and
diversity of the PFKs across the CMIP5 models as well as the corresponding results from the MESM
simulations.
2.3.1 Temperature
Overall, the CMIP5 model-mean of
(or PCK) for Ta (Figure 5) exhibits a distinct "colder ocean
and warmer land" (COWL) pattern (e.g. Broccoli et al., 1998) across all seasons. This overall pattern is
seen for all seasons, but the extent and geographic center of the maxima varies. Although not shown,
the MESM scenarios’ ensembles produce zonal profiles of warming that are fairly constant across the
latitude bands that span this region. As described in the prior section, the effect of this PCK is to then
produce an enhanced warming over land as global (and zonal) temperatures rise. This relative warming
is at its greatest spatial extent in the spring (SON), and at its weakest during summer (DJF) with
commensurate conditions into the fall season (MAM). While the model-mean PCKs suggest that this
enhanced warming is consistent across all land areas, a closer inspection of the individual model PCKs
(Figure 6) indicates there are locations where a local buffering effect would be imposed upon the global
(and zonal) warming profiles produced. In two particular model cases (for DJF), this opposing relative
trend spans almost the entirety of the ESoAfr region for one model and the WSoAfr region for the
other. With respect to our regional focus over South Africa, other models show isolated buffering
patterns to warming that are confined to a shallow inland extent from a coastline.
2.3.2 Precipitation
The model-mean as well as inter-model features of the PCKs for precipitation (Figure 7) show a greater
degree of heterogeneity (as compared to temperature) across all seasons and regions. However, the
most persistent feature is the PCKs imposing a relatively weaker precipitation rate as climate warms
across all of the WSoAfr region for all seasons. In contrast, the WSoAfr region exhibits varying degrees
of a dipole-like pattern across seasons (except MAM), in which the model-mean PCK would impart a
relative enhancement across its southern half and a relative weakening in the northern half of
precipitation rates. The CSoAfr region shares features with either ESoAfr or WSoAfr depending on the
season. In the cold season (JJA), the model-mean pattern imparts relatively weaker precipitation rates
(similar to WSoAfr), and for the remaining seasons its PCK predominantly resembles the landscape of
the ESoAfr in sign and/or overall pattern orientation (i.e. north-south oriented gradient).
Notwithstanding these common features in the model-mean results, the prominent feature to the
precipitation PCKs (particularly in light of the temperature PCKs) lies in the explicit inter-model features
(summarized by Figures 8-10).
The changing nature of hydroclimatic risks across Southern Africa
9
Figure 5: Maps of the pattern-change kernel (PCK) coefficients, dCx,y/dTGlobal (units of K-1) over southern
Africa for surface-air temperature averaged over the results from the CMIP5 climate models. Shown are the
seasonally averaged pattern shifts for: December-February (DJF, upper left), March-May (MAM, upper right),
June-August (JJA, lower left), and September-November (SON, lower right). In each frame, the three regions
of focus over South Africa (WSoAfr, CSoAfr, and ESoAfr) are denoted.
Figure 6: Maps of the pattern-change kernels (PCKs) coefficients, dCx,y/dTGlobal (units of K-1) over southern
Africa for surface-air temperature. Shown are the results for each model of the CMIP5 collection of the
seasonally averaged pattern shifts for December-February (DJF).
The changing nature of hydroclimatic risks across Southern Africa
10
Figure 7: Maps of the pattern-change kernel (PCK) coefficients, dCx,y/dTGlobal (units of K-1) over southern
Africa for surface-air temperature averaged over the results from the CMIP5 climate models. Shown are the
seasonally averaged pattern shifts for: December-February (DJF, upper left), March-May (MAM, upper right),
June-August (JJA, lower left), and September-November (SON, lower right). In each frame, the three regions
of focus over South Africa (WSoAfr, CSoAfr, and ESoAfr) are denoted.
Figure 8: Maps of the pattern-change kernels (PCKs) coefficients, dCx,y/dTGlobal (units of K-1) over southern
Africa for precipitation. Shown are the results for each model of the CMIP5 collection of the seasonally
averaged pattern shifts for December-February (DJF).
The changing nature of hydroclimatic risks across Southern Africa
11
Figure 9: Maps of the inter-model standard deviations of pattern-change kernel (PCK) coefficients,
dCx,y/dTGlobal (units of K-1) over southern Africa for precipitation averaged over the results from the CMIP5
climate models. Shown are the seasonally averaged pattern shifts for: December-February (DJF, upper left),
March-May (MAM, upper right), June-August (JJA, lower left), and September-November (SON, lower right).
In each frame, the three regions of focus over South Africa (WSoAfr, CSoAfr, and ESoAfr) are denoted.
Figure 10. Maps that summarize the sign-agreement in pattern-change kernel (PCK) coefficients,
dCx,y/dTGlobal (units of K-1) over southern Africa for precipitation averaged over the results from the CMIP5
climate models. The color shading indicates the fraction of the models whose value of PCK agrees in sign with
the model-mean value (shown in Figure 7). Shown are the seasonally averaged results for: DecemberFebruary (DJF, left panel) and June-August (JJA, right panel).
Looking at the PCKs across the individual models (Figure 8 provides the results for DJF as an example),
there are subsets of models that present qualitatively similar large-scale orientations of relative
increases and decreases – but each model PCK carries with it important, unique features that are
commensurate in spatial scale to the South Africa sub-regions of interest. From the remaining pool of
CMIP5 models, there are PCKs that indicate a very distinct model response. These considerations raise
a question as to the overall pattern of model “consensus”. To assess a landscape of consensus, we first
perform a point-wise calculation of the standard deviation across the CMIP5 models’ PCK values we
obtained on the 2˚x2.5˚ common grid resolution (Figure 9). For all seasons across the South Africa
regions, we find that this metric of consensus follows an east-west gradient with the lowest values of
The changing nature of hydroclimatic risks across Southern Africa
12
inter-model standard deviation confined to the WSoAfr region. The ESoAfr region consistently displays
the largest degree of model differences, that can be up to an order of magnitude larger than values
typically found across the WSoAfr region. The CSoAfr region is typically oriented along a distinct
gradient between these contrasting features along its eastern and western flanks. Given this, the
consistency in the sign of the PCKs (Figure 10) is also considered. In alignment with the relatively low
inter-model standard deviations, the strongest extent of “consensus” in the sign of precipitation
change is located over the WSoAfr region (seen in JJA) with over 75% of the models in agreement (to
the sign of the model-mean). While all the regions show that at least 50% of the models agree in sign
for JJA, in DJF the CSoAfr region as well as the northern portion of ESoAfr show a lack of sign agreement
(i.e. less than 50% of the models agree in sign to the model-mean value).
Taken altogether within the construct of the HFD framework (summarized by Eq. 1), the presented
regional distinctions in PKCs essentially underscore the inherent risk-based nature of climate change
and its effect on regional precipitation change. An additional consideration is the contribution of the
MESM’s zonal-based projections of change, and in particular, their alignment with the landscapes of
the PCKs (Figures 11 and 12 summarize for DJF and JJA, respectively). For the summer season (DJF),
the preponderance of MESM’s zonal projections (i.e. most if not all the inter-quartile range) produces
a decrease in precipitation rates. The only exception is the southern-most latitude of the MESM model
that covers South Africa, yet even for this zonal band the interquartile range spans both increased and
decreased precipitation – and will play an important factor into the resultant meta-ensemble
outcomes. Conversely, for JJA the MESM profiles predominantly project increased precipitation rates,
with the exception of the northern-most latitudes that intersect with the ESoAfr region. Here, a
complex combination exists of predominantly decreased zonal precipitation rates with a model-mean
PCK indicating an enhanced reduction in precipitation rate, but with large inter-model scatter and
weak sign agreement of PCKs. Further, the preponderance of the zonal trends to one sign of change is
minimized and the central tendency of change is decreased by the scenarios of stronger climate targets
(i.e. the 2C and 15C scenarios). This again underscores the risk-based nature of this assessment
framework, and the next section presents a more quantitative inspection of how these compounding
effects result in a distribution of outcomes across the regions of interest.
The changing nature of hydroclimatic risks across Southern Africa
13
Figure 11: Summary of the contributing model elements of the Hybrid Frequency Distribution (HFD)
framework – highlighting the results obtained for the three regions of interest across South Africa (WSoAfr,
CSoAfr, and ESoAfr). The right frame shows the model-averaged pattern-change kernel (PCK) for the
December-February seasonal mean (also shown in Figure 7). The left frames summarize the distribution of
outcomes from the MIT Earth System Model (MESM). Shown are the results from the four scenarios of
change performed by the MIT Integrated Global System Model (IGSM) framework: Reference (REF), Paris
Forever (PF), and the 2°C and 1.5°C climate targets (2C and 15C, respectively). Each panel on the left
corresponds to a latitude band of the MESM outputs and is aligned by the brackets to the left of the PCK
map. The ensemble results of each MESM scenario are presented as whisker plots shown the median,
interquartile, and min/max – with “outliers” (exceeding 2.5 times the interquartile range from the median)
denoted by cross-hairs.
The changing nature of hydroclimatic risks across Southern Africa
14
Figure 12: Summary of the contributing model elements of the Hybrid Frequency Distribution (HFD)
framework – highlighting the results obtained for the three regions of interest across South Africa (WSoAfr,
CSoAfr, and ESoAfr). The right frame shows the model-averaged pattern-change kernel (PCK) for the JuneAugust seasonal mean (also shown in Figure 7). The left frames summarize the distribution of outcomes from
the MIT Earth System Model (MESM). Shown are the results from the four scenarios of change performed by
the MIT Integrated Global System Model (IGSM) framework: Reference (REF), Paris Forever (PF), and the 2°C
and 1.5°C climate targets (2C and 15C, respectively). Each panel on the left corresponds to a latitude band of
the MESM outputs and is aligned by the brackets to the left of the PCK map. The ensemble results of each
MESM scenario are presented as whisker plots shown the median, interquartile, and min/max – with
“outliers” exceeding 2.5 times the interquartile range from the median) denoted by cross-hairs.
2.4
Hybrid frequency distributions
2.4.1 Mid-century changes
For all the regions considered and (averaged) through the mid-century, there is a very high likelihood
that seasonally-averaged surface-air temperatures will warm to a level that is salient relative to
historical variations (Figure 13). As previously discussed (Section 2.1), the threshold of salience is
judged against observed climatological variability (Table 1), and we set a value of 2 standard deviations
to the seasonally-averaged decadal-mean quantities (blue shaded regions in Figure 13) – at or beyond
which any change is regarded as “salient”. In the strict sense, this is not an indication of statistical
significance but when considering any variable that is aligned with a Gaussian distribution (such as
surface-air temperature) the ±2 standard deviation range would span 95% of the total population of
values. Therefore, by this measure, a temperature change of this magnitude (and higher) directly
associated with anthropogenic emissions lies among the severe-to-extreme climatological population.
The changing nature of hydroclimatic risks across Southern Africa
15
Figure 13. Hybrid frequency distributions (HFDs) of decadal averaged December-February (DJF, left panels)
and June-August (JJA, right panels) surface-air temperature change (units in ˚C). The HFDs are constructed
for area-averaged quantities of the three sub-regions of South Africa (WSoAfr – top panels, CSoAfr – middle
panels, and ESoAfr – bottom panels). Shown are the decadal-averaged changes spanning 2050-2059 relative
to the last decade of the 20 century. In each panel, results are provided for the four future scenarios
performed by the MIT Integrated Global System Model (IGSM) framework: Reference (REF), Paris Forever
(PF), as well as the 2˚C and 1.5˚C climate targets (2C and 15C, respectively). Refer to text for details of the
IGSM scenarios performed. In addition, the blue shaded region denotes the bin for which changes in
temperature are less than 2 times the standard deviation estimated from observations spanning the 19792019 period (presented in Table 1).
In view of this, the results from the HFDs indicate that in all futures considered except the 15C scenario,
over 95% of the total population of outcomes result in temperature changes above the level of salience
(Figure 13, all panels). Most notably, in all but one of regions and seasons considered (ESoAfr in
summer), the REF and PF scenarios show that at least 50% of their distributions result in temperature
changes that are at least triple in magnitude to the salience threshold. These likelihoods are
substantially reduced in the 2C scenario, with most regions and seasons showing at most 10% of the
population remaining (in one case only, CSoAfr in winter, remains at 25%) within the tripled-salience
regime. For the 15C scenario, the likelihood of these conditions is nearly eliminated (total portion of
distribution at or below 5%). Among the more striking of results is that for the 15C scenario, the most
likely temperature change (with greater than 50% of all the outcomes for all regions) is just above the
The changing nature of hydroclimatic risks across Southern Africa
16
level of salience and more closely aligned with historical temperature variations. In addition, at least
10% of the population of the regional, seasonal temperature changes from the 15C scenario have
values that are commensurate to historical variability (i.e. below salience level).
Figure 14. Hybrid frequency distributions (HFDs) of decadal averaged December-February (DJF, left panels)
and June-August (JJA, right panels) precipitation change (units in mm/decad, decad=10 days). The HFDs are
constructed for area-averaged quantities of the three sub-regions of South Africa (WSoAfr – top panels,
CSoAfr – middle panels, and ESoAfr – bottom panels). Shown are the decadal-averaged changes spanning
2030-2039 (2030s), 2050-2059 (2050s), and 2065-74 relative to the last decade of the 20 century. Results are
presented for the Reference (REF) scenario performed by the MIT Integrated Global System Model (IGSM)
framework. Refer to text for details of the IGSM scenarios performed. In addition, the blue shaded region
denotes the bin for which changes in precipitation are less than 2 times the standard deviation estimated
from observations spanning the 1979-2019 period (presented in Table 1).
As previously noted in Section 2.3.2, the precipitation pattern-changes across the CMIP5 models differ
in sign and structure both across and within the sub-regions of interest. Therefore, the resultant HFDs
will (necessarily) reflect likelihoods of both increased and decreased change. Similar to precipitation,
we prescribe a degree of salience in order to provide a quantitative judgement on the magnitude of
change. Additionally, the relative preponderance of “salient” changes toward drier or wetter
The changing nature of hydroclimatic risks across Southern Africa
17
precipitation rates is also gauged under the recognition that equal chances of a dry or wet future would
be the equivalent to a proverbial “coin-toss” as to how one should view the risk of change. Under these
considerations, the expected changes in precipitation by mid-century (Figure 14, “2050s” results) and
into the latter half of the 21st century (Figure 15) indicate that there is a greater risk of a “salient”
decrease in precipitation for the WSoAfr and CSoAfr regions for both the summer (DJF) and winter
seasons (JJA). In the REF scenario by mid-century, the portion of the distribution with decreased DJF
precipitation change is about 3 times that of increased precipitation. For JJA precipitation, this relative
preponderance is more pronounced with the distributions’ portion of precipitation decreases
quadruple to that of decreases. For ESoAfr, these distinctions are largely absent at mid-century (Figure
14, 2050s results) with only a marginally elevated number of outcomes with decreased precipitation
(as opposed to increases) during the winter season (JJA), and for the summer the likelihood of
decreased or increased precipitation is nearly equal. This feature of the ESoAfr results persists through
all of the scenarios considered (not shown). Going into the latter half of the 21st century the likelihood
of decreased precipitation change becomes prevalent, yet the largest likelihood of salient decrease
has magnitude of change just slightly larger than historical variability.
2.4.2 The evolution of risk and impact of climate targets to abatement
As shown for the temperature change risks at mid-century (Figure 13), there is a very clear impact of
the more aggressive climate target scenario at reducing (and nearly eliminating) the risk of the very
salient (as given by our metrics) temperature changes. Stemming from the diversity in the modeled
precipitation response patterns (Section 2.3), and that precipitation change is not a positive definite
change process as the case for temperature, the impacts of climate-target scenarios reducing risks in
precipitation change exhibit different characteristics in their behavior. Whether considering the timedependent (e.g. Figure 14) or scenario-dependent (e.g. Figs. 13 and 15) behavior, the HFDs of
precipitation-change primarily respond by broadening and/or tightening of the range of outcomes, and
as previously noted, in a number of cases the skewness (or relative preponderance toward positive or
negative change) is distinctly altered. Consistent to this behavior is the substantial portion of the
distribution still contained within the range of changes that are not regarded as “salient” (within the
construct of our analyses). This is quite consistent with the variety and diversity of landscapes in the
strength and sign of the precipitation PCKs (Section 2.3) across and within the three regions of focus.
Because of this, there will exist a portion of the distribution that will contain weak PCKs, as well as
weak sensitivities and trends – all contributing to a fraction of the HFDs with a persistently weaker and
more slowly evolving change in the regionally-averaged precipitation. Looking into the latter half of
the 21st century (Figure 14 shows results for 2065-2074 seasonal averages), the impact of the more
aggressive climate targets to reducing the evolving risks in the REF and PF scenarios is evident. For
both the WSoAfr DJF and CSoAfr JJA cases, 45-50% of their REF and PF distributions indicate salient
decreases in precipitation. This first underscores that even going into the latter half of the 21st century,
current international commitments put forth by the Paris Agreement does not have any impact to
reducing this risk. It is with the more aggressive climate target scenarios (2C and 15C) that considerable
reductions in risk are seen. Under the 15C scenario, only 5% of CSoAfr JJA precipitation change remains
outside the salience regime – a nearly tenfold decrease in the likelihood of change from the REF
scenario. The 2C scenario still results in a sizable decrease down to 15% (a threefold decrease). For
WSoAfr DJF precipitation, the overall impact of the risk in salient change is not as prominent (likelihood
is halved), however both the 2C and 15C scenarios eliminate the occurrence of the largest decreases
in precipitation. Overall, the impact of the 15C scenario to reducing risk is most prominently seen when
comparing its evolution of risk to that seen in the REF scenario (Figure 16). For all regions and in both
summer and winter, the HFDs of precipitation change between the REF scenario in the 2030s
compared to the 15C scenario in the 2065-2074 period are nearly identical, and in most cases the
likelihood of precipitation changes that aren’t considered salient are more likely in the 15C scenario.
Thus, this underscores a striking aspect of the 15C scenarios, in that the overall risks to precipitation
change, are delayed by about three decades.
The changing nature of hydroclimatic risks across Southern Africa
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Figure 15. Hybrid frequency distributions (HFDs) of decadal-averaged precipitation change (units in
mm/decad, decad=10 days) spanning 2065-2074 relative to the last decade of the 20th century. Top panel
presents results for the seasonal averaged December-February (DJF) and areaaveraged WSoAfr region, and
the bottom panel presents the seasonal average June-August (JJA), area-averaged CSoAfr region. In each
panel, results are provided for the four future scenarios performed by the MIT Integrated Global System
Model (IGSM) framework: Reference (REF), Paris Forever (PF), as well as the 2°C and 1.5°C climate targets (2C
and 15C, respectively). Refer to text for details of the IGSM scenarios performed. In addition, the blue shaded
region denotes the bin for which changes in precipitation are less than 2 times the standard deviation
estimated from observations spanning the 1979-2019 period (presented in Table 1).
The changing nature of hydroclimatic risks across Southern Africa
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Figure 16. Hybrid frequency distributions (HFDs) of decadal averaged December-February (DJF, left panels)
and June-August (JJA, right panels) precipitation change (units in mm/decad, decad=10 days) with respect to
the last decade of the 20th century. The HFDs are constructed for area-averaged quantities of the three subregions of South Africa (WSoAfr – top panels, CSoAfr – middle panels, and ESoAfr – bottom panels). In each
panel, a comparison is presented between the HFDs from two scenarios simulated by the MIT Integrated
Global System Model (IGSM) and spanning different decadal periods: the Reference (REF) scenario for the
2030-2039 (2030s) decadal-averaged change versus that from the 1.5˚C (15C) scenario for the 2065-2074
decadal-averaged change. Refer to text for details of the IGSM scenarios performed.
3
SUMMARY REMARKS
In this study, we have presented risk-based results derived from large ensembles of projected changes
in seasonal precipitation and near-surface air temperature over South Africa. The ensemble procedure
combines, via a Taylor expansion, regional patterns of emerging climate responses from the CMIP5
climate models with the MIT-IGSM, an intermediate complexity earth-system model coupled to a
global economic model that evaluates uncertainty in socio-economic growth, anthropogenic
emissions, and global environmental response. Given its computational efficiency, the IGSM can be
run for large ensembles (e.g. 400 members in this study) to explore the range of possible global climate
responses that result from human and natural forcings. In this study, the numerical experimentation
with the IGSM included four scenarios of future climate and socio-economic development in order to
span a range of possible global actions to abate greenhouse gas emissions over the coming century.
When combined with the CMIP5 regional patterns of climate response (i.e. pattern-change kernels),
the resultant meta-ensembles (1,000s of members) are used to create "hybrid frequency distributions"
The changing nature of hydroclimatic risks across Southern Africa
20
(HFDs) in order to examine the evolution of climate and the extent to which global actions can abate
or avoid changes that are regarded as hazardous.
In terms of the regional patterns of climate model responses to anthropogenic drivers (i.e. emissions),
the CMIP5 behavior is largely consistent in the land-sea contrast to their surface-air temperature
response patterns. The majority of models impose a relatively stronger warming over land. There are,
however, isolated exceptions that primarily stem from the influence of maritime climate, which tend
to buffer the warming, and these impacts are seen along coastlines. Precipitation exhibits much more
diversity in the CMIP5 patterns of response, and this underscores the necessity of taking a risk-based
approach in order to identify the preponderant and salient changes.
We evaluated the HFDs of surface-air temperature and precipitation averaged over three regions
across South Africa: western (WSoAfr), central (CSoAfr), and eastern (ESoAfr) South Africa. These
regions were drawn to align with some of the key features in the observed climate as well as the
characteristics and model consensus of the CMIP5 patterns of response. Across all these regions, we
find that by mid-century unless stronger measures are put into force that set stricter climate targets,
summer and winter averaged temperatures will increase (i.e. over 95% of the REF and PF scenario
member simulations) beyond the current climate’s variability. In addition, there is a strong likelihood
(nearly 50% and higher of the REF and PF scenario member simulations) that temperatures will rise
considerably higher than the current climate’s range of variability (threefold increase over the current
climate’s two-standard deviation range of variability). The HFD scenarios that consider more aggressive
global climate targets (e.g. 2C and 15C scenarios) all but eliminate the risk of these acutely salient
temperature increases. For precipitation, the evolving nature of the regional risks exhibits more
distinct features across the regions considered. Most notably, for western South Africa, the
preponderance of summer precipitation change across the HFD members indicates that there is a
considerably greater likelihood that the region will experience reduced precipitation (as opposed to
increased) by mid-century even under current global agreements to reduce emissions. However,
without these national commitments (under the Paris Agreement) the likelihood of strong decreases
in precipitation (i.e. greater than 3 times the current range of variability) is notable (nearly 20% of the
REF ensemble simulations, or a 1-in-5 chance). Given the recent severe drought this region has
experienced (e.g. Sousa et al, 2018) and the widespread water-efficiency measures put into action to
combat the extreme water shortage, the increasing risk of depleted precipitation that these results
imply would indicate that such efficiency measures will become more frequently strained and relied
upon. Conversely, across eastern parts of South Africa, the distributions of precipitation change show
no clear preponderance toward an increase or decrease through mid-century, and it is only towards
the end of the 21st century action under the REF scenario are there indications of a greater risk to
decreased precipitation.
There is a clear benefit seen within the evolving hydroclimatic risks as a result of strong climate targets,
such as limiting the global climate warming to 1.5˚C by 2100. In all of the regions considered, we find
that the risk of precipitation changes in the 15C scenario toward the end of this century (2065-2074)
is nearly identical to that seen in the REF scenario during the 2030s. The distributions that result from
the 15C scenario toward the end of this century indicate that not all risks of salient changes are
removed. Yet, an important aspect of this scenario is that there is a 30-year delay in these risks, relative
to the trajectory that is more aligned with the scale of current actions to reduce emissions. This 30year delay would likely prove to be invaluable toward any national efforts that would be assessed as
necessary to prepare and adapt to these heightened risks.
The results of these large ensembles are part of an ongoing analyses to assess the risks of climate
change on agriculture yield and production, and the intent is to apply these to other impact sectors of
the economic, energy, and infrastructure systems as warranted.
The changing nature of hydroclimatic risks across Southern Africa
21
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Acknowledgments
This work was funded by the IFPRI SA-TIED project with additional support from the Policies,
Institutions, and Markets Research Program of the CGIAR. The authors gratefully acknowledge this as
well as additional financial support for this work provided by the MIT Joint Program on the Science and
Policy of Global Change through a consortium of industrial sponsors and Federal grants. Development
of the IGSM applied in this research was supported by the U.S. Department of Energy, Office of Science
(DE-FG02-94ER61937); the U.S. Environmental Protection Agency, EPRI, and other U.S. government
agencies and a consortium of 40 industrial and foundation sponsors. For a complete list see
https://globalchange.mit.edu/sponsors/current.
About the authors
C. Adam Schlosser, Andrei Sokolov, Ken Strzepek, and Xiang Gao are researchers at the Joint Program
on the Science and Policy of Global Change, MIT, Cambridge, MA. Tim Thomas and Channing Arndt are
at the International Food Policy Research Institute in Washington D.C., where Channing is the Director
of the Environment and Production Technology Division.
INTERNATIONAL FOOD POLICY RESEARCH INSTITUTE
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This paper was prepared as an output for the Towards Inclusive Economic Development in Southern Africa (SA-TIED) project
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