3.1. Causal Loop Diagrams
Figure 2 shows a basic loop to determine domestic demand for all three sectors namely water, energy, and food. The projection of population can be calculated with the reinforcing loop that population forms with birth, and a balancing loop that it forms with death. Considering the average resource consumption per capita would be given by a particular value, the total domestic consumption of resources would increase or decrease in tandem with the change of the country’s population.
Figure 3 shows four balancing loops that involves electricity type, demand, and tariff for both domestic and industry. The logic behind the loop is that electricity demand will increase the electricity tariff due to the higher operational costs of maintaining more generation plants. This model forms an important junction and interface of the energy sector to other sectors, as energy usage from other sectors would determine the industrial usage of electricity. The building of new power plants is driven by the prediction of power generation needs from current usage. However, the magnitude of whether renewables or non-renewables will cause the tariff to increase in the long run is to be determined by SFD.
Figure 4 shows other dominant factors of the energy sector apart from electricity demand and tariff i.e., number of non-renewable power plants, power plant operational hours, emissions, and the need to reduce CO
2 emissions. The logic in constructing the reinforcing loop of operational hours of non-renewable and renewable power plants is that the energy service provider could opt to turn down power plants in the event of the power surplus (as a result from the power needed to forecast for any particular period). As such, for a constant amount of energy produced and consumed, more production from a non-renewable power plant could be less needed due to renewables, and vice versa. The emissions loop in this case acts as a balancing check to prevent indefinite growth of non-renewable power as compared to renewables. This is because the emissions condition may encourage environmental policies, which drive the building and use of renewable power plants.
Figure 5 shows an elaborative water-energy relationship loop. The important links in forming these two-closed reinforcing loops between water and energy lies in three important variables such as water withdrawal due to non-renewable power generation, water withdrawal due to renewable power generation, and power consumption due to water treatment. The water quality is a contributing factor to the need for water treatment, while power plants are a contributing factor to a lower water quality. Since power plants require water to cool the power plants, the water treatment plant requires power to treat the water.
3.2. Stock and Flow Diagrams
Population forms the primary group where their WEF securities are concerned. While the population may determine the usage of resources at any particular present time, the stock, “population in 5 years” has been included in the model to provide a basis of forecast for the initiation of new land, new generation capacities, and water facilities. The duration of five years has been selected in alignment with Malaysia national plans, which are usually developed and reviewed once every five years [
36], which shows that the planning is conducted by looking five years in advance on top of having a long-term plan. The structure in
Figure 6a has been seen several times in other studies [
37,
38,
39,
40,
41].
The estimation for the total requirement and usage can be performed in the SFD, as shown in
Figure 6b, by multiplying population with a per capita requirement. While energy and water are rather straightforward in resource identification, food has been broken down into four staple foods known as rice, wheat, sugar, and livestock. As such, these six variables would be used as one of the inputs in determining subsequent resource (water, energy, and food) expansions.
Figure 7 shows a generic SFD for electricity generation capacity, which is the backbone for the generation of electricity. From the figure, TYPE refers to the different energy type used to generate electricity. Five non-RE energy types are considered such as gas, coal, oil, diesel, and nuclear as well as five RE energy types that are considered such as hydro, solar, bio, marine, and wind.
A similar structure is seen from previous works of Ford and Eker et al. [
42,
43]. The structural idea has been adapted to suit the case of WEF where variables are further used to calculate important indicators in the WEF, such as the power produced yearly, the yearly CO
2 emissions, and the water used per power produced. In addition, to complete the loop of CLD, installed capacities and capacities under construction must also be used to consider and calculate the initiation of new power plants.
The initiation of new capacities is determined by the flow “initiation rate” where it is calculated from the forecast of future need. Two main stocks exist in this SFD such as the installed capacity and the capacity under construction. Due to a long construction time, as represented by the variable of average build time, capacity under construction is necessarily included as a delay element from an SD point of view. The rate at which the installed capacity decreases is determined by the retirement rate, which is calculated from knowing the average power plant lifespan.
On determining the total capacity for any energy type, it is important to consider the summation of both installed capacity and capacity under construction. This is to avoid over initiation of capacity based on demand projections, and would later be used in the forecast of the capacity requirement. Capacity under construction is a form of delay, which has to be considered to improve the accuracy of projection.
Figure 8 shows SFD to calculate the Levelised Cost of Electricity (LCOE), where it is the theoretically minimum of setting the electricity tariff before losses are incurred. An average LCOE is calculated by considering the total cost and total electricity generated from all generation types. This follows the rationale that, if there is only one electricity tariff that the users pay regardless of the source of electricity, then an average LCOE should be calculated before determining that tariff.
Figure 9 shows the entire sub-model for forecasting generation capacities, which subsequently lead to the initiation of capacities. In order to determine how much electricity generation capacity to initiate, the gap of the capacity requirement is calculated from considering the gap of the electricity requirement per year and the average operational hours of different generation types. An important decision variable that needs to be considered is the desired renewable penetration. This subsequently results in a resulting desired non-renewable penetration. The specific forecast for each generation type is then determined by a further step of deciding the breakdown of the energy type share. Subsequently, the calculated forecast for each energy type would be used in the energy capacities SFD.
Figure 10 shows the SFD to calculate the water used in electricity production. The water used in electricity production is calculated by computing the amount of electricity generated in a year and then multiplying it by the amount of water withdrawn per unit of electricity produced. As such, the size of generation capacity and operational hours are needed for this calculation. The water used per unit electricity generated varies according to the energy type. While most of the water used in the power plant are eventually returned to their local source, a small amount may be used up, or termed as consumed. As such, the fraction of water consumed because of electricity generation is added to the structure.
Figure 11 shows the relationships between electricity used and activity in the water sector. Electricity used in the water sector can be found in the stages of water supply treatment, distribution, and wastewater treatment. In this case, the energy used in water distribution has been absorbed into the water supply treatment.
Figure 12a shows the CO
2e emissions for each energy type while
Figure 12b shows the total emissions for the energy sector. CO
2e emissions for each energy type is calculated by considering the emissions per unit electricity production and the total production of electricity for each type. Consequently, the summation of CO
2e emissions is shown in
Figure 12b.