Page 198 - AJWEP-v22i2
P. 198

Sefolo, et al.

                   loss and GHG emissions  was modeled  using        Table 4. Equations defining the relationship
                   the equation derived from the regression  graph   between the variables
                   (Equation I):                                     Equation                Description
                y = 0.0083x − 2.4587                          (I)     Ait                   Economic Modeling Equation

                  where y represents GDP loss (%) and x represents    Ait   git  δ  Tit  δ1  2 Rit
                GHG emissions (expressed in tCO e).                  δ  SPTit  δ3  4 SPRit
                                              2
                (iii) Modeling the relationship between GHG emissions   y=0.083x−2.4587      GDP loss versus GHG
                   (x) and temperature  (t). The  relationship  between                      emission
                   GHG emissions and temperature was modeled and     y=0.025x−6.5745         GHG emission versus
                   observed using Equation II:                                               temperature
                x = 0.0254t − 6.5745                          (II)   Abbreviations: GDP: Gross domestic product; GHG: Greenhouse
                  where represents temperature (°C).                 gas.
                (iv) SD simulation.  The  important  moments  in  the   (v)  Policy  formulation  and evaluation:  In this  phase,
                   system’s lifecycle  were considered instantaneous,   decisions  are  made  regarding the  redesign  of the
                   indivisible events. All changes in the system were   model or the adjustment values of parameter values
                   associated  with these  climate  events.  The  system   to improve the performance of the system.
                   was observed for 10 years into the future using the
                   SD simulation.                                      The DES and SD models were implemented in the
                The SD steps are summarized into five phases:       AnyLogic  software  environment  (version  8.2.3).  The
                                                                    software employed the stock-and-flow diagram as the
                (i)  Problem  definition:  This  phase  involves  tracking   visual modeling language, with the input variable being
                   climate  events or activities  (such as temperature,   the City of Tshwane’s climate change policy. The model
                   rainfall,  and GHG  emissions) and capturing  the   variables influenced by this policy included: (i) Average
                   state of infrastructure performance and the average   rainfall,  (ii) infrastructure  performance,  (iii) average
                   loss of GDP at different points in time without any   loss of GDP, (iv) GHG effects, and (v) the number of
                   gap over a period of 10 years. This phase helps to   extreme weather events in the City of Tshwane.
                   define and formulate the policies required to address   The model was simulated  using the  policy
                   the identified problem.                          implementation  serving  as  a  mitigation  strategy.
                (ii)  Dynamics  hypothesis: In  this phase, a theory  is   Multiple  simulation  runs were conducted, which
                   formulated regarding the emergence of the problem,   resulted in improvements in GHG emissions and GDP
                   and a causal loop diagram is created to provide insight   performance.  Two SD models  were  developed:  the
                   into the causal relationships between variables. The   first,  without  climate  change  policy  implementation
                   causal loop diagram is then converted into a level and   (Figure 7), and the second, with policy implementation
                   rate (stock and flow) diagram. For example, heavy   (Figure 8).
                   rainfall  causes  flooding,  while  extreme  weather   To  assess  the  effect  of  climate  change  policy
                   events (such as an increase in temperature) lead to an   implementation  in  the  SD  model,  the  first  model
                   increase in the emission of GHGs.                (Figure  7)  was  modified  by  incorporating  a  feedback
                (iii) Formulation:  This phase presents the equations   loop and a policy parameter. This modification produced
                   that define the relationships between the variables,   a scenario different from the one generated without the
                   including  the  estimation  of parameters  and the   climate  change  policy  implementation.  The resulting
                   determination  of initial  conditions  (Table  4). The   scenario enabled an understanding of potential future
                   equations that define the relationships between the   conditions by evaluating simulated forecasts. The main
                   variables were obtained from regression analysis.  objective of the scenario was to examine the impact of
                (iv) Testing:  This phase involves validating  the   climate change policy on the performance of road and
                   developed  model  by observing its behavior  and   stormwater infrastructure, GHG emissions, amount of
                   determining whether the model behavior accurately   rainfall, and the number of extreme events, to effectively
                   represents  real  systems.  The  model’s behavior   mitigate the impacts of climate change. The DES model
                   and outputs were visualized  over time  to ensure   advanced  in increments  of 0.5-time  units to balance
                   consistency with real-world observations.        computational  efficiency  and  simulation  accuracy  by




                Volume 22 Issue 2 (2025)                       192                           doi: 10.36922/AJWEP025080049
   193   194   195   196   197   198   199   200   201   202   203