Introduction

Environmental deterioration is causing global warming, and this issue has gotten a lot of attention at the national and global level. Many governments and global organizations are trying to control the rising greenhouse gas (GHG) emissions worldwide. In December 2015, around 164 countries across the globe embraced a global climate protocol at the United Nations Framework Convention on Climate Change (UNFCCC) in Paris. In this agreement, they publicly outlined their intended mitigation actions to climate change, known as the Intended Nationally Determined Contributions (INDCs). Achieving the INDC target will symbolize the serious efforts of a country towards the issue (Wu et al. 2016; Zeshan and Ko 2016; Rogelj et al. 2016; Jackson et al. 2015).

The two main accounting approaches addressing environmental issues are the production-based and consumption-based approaches. The former method allocates GHG emissions to the place of production while the latter method allocates it to the final consumption (Peters 2008). However, the quantification of GHG emissions through the consumption-based method is getting more attention because it offers complementary evidence for an effective policy-making process (Wiedmann and Lenzen 2018; Miehe et al. 2016), which is not easy in case of production-based method (Barrett et al. 2013). Further, rising global trade along with increasing demand in the developed countries both have led to a higher level of GHG emissions from the production process in exporting countries (Fernzndez-Amador et al. 2017; Mi et al. 2019). Hence, the literature emphasizes that the final users are more responsible for the rising GHG emissions than the producers (Table 1).

Table 1 Environmentally extended input-output table (EEIOT)

Life cycle assessment (LCA) and input-output (IO) models are widely used to analyze the consumption-based environmental policies (Zhang et al. 2018; Aguilar-Hernandez et al. 2018; Hertwich 2005; Ghertner and Fripp 2007). However, there are two main challenges associated with the LCA method, i.e., defining a concrete boundary of analysis and circularity effects. The former needs to specify what is included or ignored in the analysis to keep the analysis manageable, which, however puts limitations to the results and generates an underestimated life cycle of a product. The latter indicates that the production of output requires other machinery, and a complete life cycle assessment is required for all related materials used in the production process. Hence, the LCA model requires many assumptions to make it less complicated and time-consuming. On the other hand, the input-output-based LCA method solves these issues. First, it specifies how much output of a sector is needed as input in the same sector and other sectors, which properly documents all the sales of a sector. Secondly, it provides the total (direct and indirect) effects of changes to the economy if there is any change in final demand.

The input-output tables (IOTs) provide a snapshot of an economic structure (Dietzenbacher et al. 2013; Miller and Blair 2009). They explain macroeconomic interactions of a region in an accounting framework by tracing the financial flows from activities using the goods and services to other sectors supplying these resources (Zeshan and Nasir 2019). IOTs state the sale and purchase accounts between various sectors in an economy. Many sectors of the economy are highly interdependent as different industries purchase various inputs from other industries, while the rest is imported. Other industries sell their products to domestic and foreign consumers. To make all these economic records consistent, economic flows are uniformly recorded in an IOT following a product-by-product or industry-by-industry approach.

These monetary tables can be supplemented with satellite data accounts describing the GHG emissions. The resulting models are helpful to examine the economy-wide environmental implications of final demand for goods and services by final consumers. It links the GHG emissions with the final demand and provides a basis for mitigation policy. The EEIOA is a widely used tool in literature to examine carbon footprints (Baumann 2013; Zeshan 2013; Peters et al. 2011; Lenzen 2011).

This paper develops an input-output life cycle assessment (IO-LCA) for Pakistan, and this task is achieved in three phases. In phase 1, the Pakistan IOT is constructed. In phase 2, the GHG environmental satellite accounts are created for each sector in the economy. The GHG environmental accounts are maintained for carbon dioxide (CO2), methane (CH4), nitrous oxide (N2O), carbon monoxide (CO), and non-methane volatile organic compound (NMVOC). These emissions are generated by different production activities such as agriculture, land, energy, chemicals, metals, manufacturing, and other products, known as the carbon footprints.Footnote 1 Wiedmann (2009), Druckman and Jackson (2009), Wiedmann and Minx (2008), and Wiedmann et al. (2007) provide a brief review of this topic.

In phase 3, these emissions are linked to different categories of final demand, including household consumption expenditure (HC), collective consumption expenditure of government (CCEG), individual consumption expenditure of government (ICEG), gross fixed capital formation (GFCF), changes in inventories (CI), net exports of goods (EXPG), and net exports of services (EXPS). This approach is helpful to design abatement policies to fulfill the INDC targets committed in the Paris Summit (2015) as it provides the total (direct and indirect) amount of GHG emissions caused by activity during all the stages of production.

At present, there is a severe knowledge gap in Pakistan and there is a dire need for research work which could facilitate the formulation of environmental policies based on environmental economics. To achieve this goal, this paper combines two accounting frameworks such as Pakistan IOT based on the most recent 2008 System of National Accounts (SNA) and the System of Environmental-Economic Accounting (SEEA). Hence, it develops national accounts of environmental indicators providing a detailed interrelationship between the economy and environment.Footnote 2 This goal is achieved by combining the standard IOT (measuring the economic activities of key industries) and the relevant physical flow of GHG emissions.

Supply-use data accounts and emission inventory

The present IO-LCA is based on the environmental data compiled by the Pakistan Ministry of Climate Change (Mir and Ijaz 2016) and the supply and use tables (SUTs) prepared by the Pakistan Bureau of Statistics (Asian Development Bank 2017). The 4th revision of the Pakistan Standard Industrial Classification (PSIC) is used to define the industries/sectors/activities (Pakistan Bureau of Statistics 2010), whereas the 2nd version of the Central Product Classification (CPC) is used to describe commodities/goods/services in these SUTs (United Nations 2015).

The 2008 SNA prefers the basic prices over producers’/purchasers’ prices for valuing production in national accounts. Hence, the SUTs are transformed from purchasers’ prices to basic prices. The basic price is defined as the amount receivable by a producer for one unit of goods/services from a purchaser, excluding taxes paid and including all the subsidies received on the products. Producers’ price is defined as the price of goods/services at the factory gate including all the taxes less subsidies on different products. Further, purchasers’ price is defined as the price paid by purchasers, including all the remaining taxes, trade margins, and transportation costs, also called the market price.

The data on trade and transport margins, imports, taxes, and subsidies are adjusted accordingly during the conversion to basic prices. This task is easier in case of the supply table; however, such a conversion process is relatively complicated in case of the use table. Each component of the use table needs to be adjusted for this conversion. Other than the margins, all elements discussed above are labeled separately in the row form. However, this practice does not involve margins as they are reallocated across the related services.

Normally, the source data of all margin types, taxes, subsidies, and imports are available in the supply and use tables. However, such data is not available in the case of Pakistan. Therefore, the present paper estimates the values of these components as they are important for the conversion process. This estimation assumes that these components change in proportion to an industry’s total output spread across different markets.

Methodology

The main characteristics of an IOT are transparency, comparability, inputs, resources, timeliness, and analytical potential (Raa 2017). Transparency dictates that industry-by-industry IOTs are better than the product-by-product IOTs. The former is based on the fixed product sales structure assumption, which does not produce negative values in an IOT. On the other hand, the latter is based on the product technology assumption, which needs balancing of negative values. It implies that the results in the latter are lesser transparent than the former.

Comparability defines that industry-by-industry IOTs can be compared with national accounts, whereas the product-by-product IOTs cannot. Nevertheless, the latter promises better comparability between different products across different countries. The product-by-product IOTs state a clear input structure whereas the industry-by-industry IOTs state a mixed group of goods and services.

Resources and timeliness indicate that the IOT built on product technology assumption requires more time (and resources) as it needs balancing of the negative elements. Conversely, an industry-by-industry IOT does not necessitate any such treatment, which saves time (and resources). Further, analytical potential clarifies that industry-by-industry IOTs are more suitable for policy analysis (such as tax reforms, monetary and fiscal policies). In contrast, the product-by-product IOTs are mainly used to examine the homogeneous production units for instance productivity, employment effects, and cost structure.

From the above analysis (also see Fig. 1), the fixed product sale structure assumption serves our purpose better. It assumes that each product follows a specific sales structure, irrespective of the industry where it is produced (World Bank 2009). It results in an industry-by-industry transformation matrix, such that:

Fig. 1
figure 1

Transformation of the SUTs into IOTs. Source: World Bank 2009

$$ T={Vx}^{\hbox{-} 1} $$
(1)

where V and x denote domestic make matrix and a diagonal matrix of product output, respectively. Further, T transforms the domestic use and final demand matrices into a symmetric IOT. Henceforth, the matrix of coefficients is defined as:

$$ \overset{\_}{A}={TUx}^{\hbox{-} 1} $$
(2)

where U and \( \overset{\_}{\mathrm{A}} \) denote domestic use matrix and inputs required per unit of production (matrix), respectively. The latter encompasses two parts, where the top segment is a square matrix of domestic intermediates used by different industries and the bottom segment comprises the matrix of primary inputs and GHG Emission satellite accounts.

Cost and market shares

This section discusses the input coefficients, backward linkages, output coefficients, and forward linkages of Pakistan’s economy. Input coefficients state inputs required per unit of output, and they are obtained by dividing each cell of the EEIOT by the relative column total. They also indicate the relative cost shares for different sectors and primary inputs in the total production. From Table 2, it is obvious that 1 unit of agricultural output requires 0.2079 units of inputs from the agriculture industry, 0.2564 units of compensation of employees (CE), 0.4256 units of operating surplus, net.

Table 2 Input coefficients and direct backward linkages (%)

Further, examining the linkages of a sector with its suppliers is very crucial. If a sector k boosts its output level, it will enhance the demand of many other sectors whose products are consumed as inputs in production, also known as the direct backward linkage of an industry. An industry with stronger direct backward linkages is considered more important in the economy compared with another industry. Energy, manufacturing, and metal sectors are the top three sectors with stronger direct backward linkages compared with other sectors in Pakistan (Table 2).

The output coefficients indicate the market shares of total output in different industries. These coefficients can be obtained by dividing each cell of the EEIOT by its relative row total. The results in Table 3 show that the manufacturing sector is the biggest market (42%) for agricultural products, whereas 21% of agriculture output is distributed in the agriculture sector. On the other hand, private consumption has a 27.7% market share in agriculture production.

Table 3 Output coefficients and direct forward linkages (%)

The supply of output in the market has many implications, and direct forward linkages are really important in this regard. Higher production activity in the k industry increases its output supply in the market, also known as the direct forward linkage. Hence, a sector with higher forward linkage has more significance in an economy compared with another sector as one additional unit of output in that sector would provide it a comparative advantage (economies of scale) compared with other sectors. In the present situation, chemicals, minerals, and agriculture sectors have stronger direct forward linkages compared with other sectors (Table 3).

Input-output life cycle assessment model

An IO-LCA facilitates us to examine the impact of a change in final demand on total demand and how the change in final demand is related to the GHGs emitted (extended Leontief inverse) at all the stages of production in various sectors. The standard Leontief inverse is used, such that:

$$ x={\left(I-A\right)}^{-1}y $$
(3)

In matrix algebra, matrices and vectors are denoted by capital and small letters, respectively. In the above equations, Ax, y, and x denote the vectors of intermediates, final demand, and total production, respectively. For a specific sector, the output multiplier is stated as the sum of all outputs from each domestic sector to produce an extra unit of production, denoted by the column sum of the Leontief inverse matrix (Table 4).

Table 4 Output multipliers (million PKR)

In the present case, the energy sector has the highest output multiplier (2.39), see Table 4. It indicates that PKR 1 million increase in the final demand of the energy sector would enhance the total production by 2.39 million. The overall (direct and indirect) increase in energy output is 1.74 million, whereas the remaining increase is added from higher production levels in other industries. In other words, a unit increase in final demand requires 0.74 units of energy sector output indirectly in its production process to meet the final demand. In addition, if the final demand for the energy sector elevates by 1.0 million, it would raise the cumulative economic revenues by 2.39 million in Pakistan.

The IO-LCA facilitates to evaluate the total (direct and indirect) effect of economic policies on environmental indicators. In essence, this method allows us to examine the total GHG emissions generated at all the levels of production, which is provided in the following extended input-output equation system:

$$ Z=B{\left(I-A\right)}^{-1}f $$
(4)

where B, f, and Z indicate input coefficients for GHG emissions, final demand, and resulting matrix for total (direct and indirect) GHG emission requirements, respectively.

Table 5 presents the direct GHG emission coefficients. In the case of CO2 emission coefficients, the lowest value is reported for the metals sector (0.002). Further, Table 6 reports the total emissions for the metal sector (0.009). This coefficient includes all (direct and indirect) CO2 emissions related to the production of an additional unit (PKR million) of the output of the metal sector at all levels of production. From Table 1, it is obvious that the metal sector provides goods and services worth 174.293 billion to final demand.

Table 5 Direct emission coefficients per unit of output (Gg/kt of CO2 equivalent)
Table 6 Total (direct and indirect) emissions per unit of output (Gg/kt of CO2 equivalent)

The extended input-output analysis reveals that 1729 units (Gg per kt of CO2 equivalent) of CO2 emissions were emitted in Pakistan at all levels of production to satisfy the final demand for metal products (Table 7). The estimation results reveal that the level of CO2 emission is the highest in the manufacturing sector. This sector is directly responsible for 37,651 units of CO2 emissions. Further, the estimated results show that 51,819 units of CO2 emissions was produced at all levels of production in order to produce the manufacturing output for final demand.

Table 7 GHGs emitted at all stages of production in various sectors (Gg/kt of CO2 equivalent)

Comparison with GTAP database and literature

This section provides a comparison of how the different sectors contribute to the GHG emissions in Pakistan. For this purpose, it extracts Pakistan’s social account matrix (SAM) from the Global Trade Analysis Project (GTAP) database version 9. It is important to note that the SAM in this database is an updated version of Pakistan IOT 1991, which was updated for the year 2008. Hence, the sectoral classification and the base years of the Pakistan SAM and the current EEIOT are different. Overall, the manufacturing and energy sectors contribute the most to the GHG emissions in Pakistan. These results are consistent with Shmelev (2010) and Mattila et al. (2011), who do a similar analysis for the UK and Finnish economies, respectively (Fig. 2).

Fig. 2
figure 2

Share of GHGs emitted at all stages of production (%). Source: own calculations

Further analysis indicates that the structure of GHG emissions has changed drastically over time. The contribution of agriculture, energy, chemicals, and manufacturing in total GHG emissions is reducing in the country while the share of other sectors is increasing in GHG emissions. Further, the share of the transport sector has increased drastically in the total GHG emissions indicating the structural changes in the economy.

Conclusion and discussion

The Paris summit (2015) has become a significant achievement to attain a reliable global mitigation policy to climate change. An important aspect of the summit was the provision of emission reduction targets by each participating country worldwide. However, the severe knowledge gap in Pakistan makes it hard to facilitate the formulation of environmental policies based on economics, which is the aim of the present study. Addressing this knowledge gap would enable policymakers to design more environmentally friendly economic policies.

The IO-LCA has become an important assessment tool to design abatement policies to fulfill the INDC targets committed by a country in the Paris summit. It provides direct and indirect amounts of GHG emissions associated with all the production activities during all the stages of production. Further, it links the final demand with GHG emissions. The present paper finds out that CO2, CH4, and N2O are the top three GHG emissions produced in Pakistan. The manufacturing, transport, and energy sectors produce most of the CO2 emissions, whereas manufacturing, agriculture, and energy sectors produce most of the CH4 emissions. Further, manufacturing, agriculture, and the transport sector are responsible for the rising level of N2O emissions in the country.

The sectoral production in Pakistan is skewed towards the manufacturing and energy sectors. Shifting the production from these sectors towards others (agriculture and metals) would significantly reduce the GHG emissions. However, such shifting would have some opportunity cost. Shifting production from manufacturing and energy sectors to the agriculture sector would result in lower CO2 emissions per unit (million rupees) of output. Nonetheless, the agriculture sector has a lower output multiplier (1.39) than manufacturing (2.00) and energy (2.39) sectors. Further, given that the metal sector is among the top three sectors with stronger backward linkages, it would boost production activities in the economy particularly in the transport and mineral industries. On the other hand, shifting towards agriculture would mainly support the agriculture sector itself because it has weak backward linkages. Hence, there is a trade-off between economic growth and environmentally sustainable economic growth.

In addition, the metal sector seems a better choice for environment-friendly growth as it has the lowest total (CO2 and CH4) emissions per unit of output and a relatively higher output multiplier (1.95). Finally, controlling the N2O content in the environment would require shifting production from other sectors to the minerals sectors. However, this sector has a moderate output multiplier (1.41).

Implications for theory and practice

This research work has many implications for theory and practice. For instance, it provides a detailed analysis of the changes in the composition of GHG emissions arising from a change in final demand. The IO-LCA model used in this paper encounters the many uncertainties such as the boundary of analysis and circularity effects through the double accounting principle used in the IO-LCA framework. Finally, it provides technical as well as the economic mechanisms of GHG emissions.

Future research

This research work can be extended to the multi-regional IO-LCA, which can add significantly to the literature on location quotients. Further, augmenting satellite accounts of land (irrigation land, rainfed land, and forestry) and water (blue, green, and gray) would further enrich this analysis.