n the midst of gloom in the global economy with consequential impact on India, highly output and job oriented industries can give positive results in terms of increasing economic growth as they could be considered as the ones creating demand and employment for other segments of the economy and thus acting as leaders of economic growth (ASSOCHAM, 2016). The Indian economy is continuously evolving towards higher value added activities and employment generation has become a key area of concern. Thus, it is crucial to examine the employment and output linkages between the sectors. Using the input output tables, this paper generates a detailed breakdown of how a change in final demand in an industry creates output and employment within that industry and further effects production and employment in overall economy. The importance of a sector with respect to economic growth and development can be measured by determining the output and employment effects of that sector on the whole economy. But, the growth in gross domestic product does not always have the expected positive impact on employment (Ernst and Sarabia, 2008). Also, if the highly linkage sectors in terms of output are dependent on capital intensive intermediate products then, the policy thrust on boosting such sectors will not accomplish employment generating goals (Bhattacharya and Rajeev, 2014). Thus it is crucial to understand which sectors would have increased employment. Thus, the present study investigates the industry specific multipliers by using a symmetric input output tables of Indian economy with greatest output and employment potential. Using an interindustry approach in open as well as closed input output framework, enables us to measure not only the direct and indirect flows of output and job creation but also output andemployment changes attributable to induced effects of interindustry connections.
Input output framework can be used to measure the significance of a sector in terms of its contribution to output and employment through economic impact or multiplier analysis that is the impact of a change in the sectoral final demand on production and employment and backward and forward linkage indices (Valadkhani, 2003). The multiplier analysis rests upon the difference between the initial effect of an exogenous change and total effects of that change. The open input output model with respect to household gives direct and indirect effects while closed input output model with respect to households gives direct, indirect and induced effects (Miller and Blaire, 2009). The extensive literature on input output analysis where most of the studies focusing on measuring linkages and multipliers to identify strategically important sectors of the economy, witnesses methodological improvements such as the direct linkages measured from the column sums of the technical coefficient matrix (Chenery and Watnabe, 1958) replaced with total linkages measured from column sums of the Leontief inverse matrix (Rasmussen,1956). Further, replacement of the row sums of the Leontief-inverse (Rasmussen, 1956) to measure forward linkages with the row sums of the Ghosh-inverse (Beyers, 1976; Jones, 1976).
The objective of the study is to identify the sectors with largest potential for employment and output generation in Indian economy. The specific objectives of the study are: Following the introduction, section 2 deals data sources followed bymethodology in section 3. Section 4 discusses the results. The final section concludes the study.
II.
The goal is to build an Input output model based on detailed accounting of interindustry activity in an Indian economy in order to obtain output and employment multiplier effects and backward and forward linkage indices, mainly within the production system. The main data source for this study is World Input Output Database (Timmer et al., 2015) which contains annual time series of input output dataset for 27 European Union (EU) countries and 13 other major countries in the world including India for the period from 1995 to 2009. This database enables us to trace development overtime for an economy through benchmarking to time series of output, value added, trade and consumption from national accounts statistics. The comparison of total output and employment multipliers effects and linkages analysis are facilitated with the help of two wide datasets obtained from WIOD.
? National Input Output tables (NIOT) in current dollars at purchaser's prices for 35 industries for Indian economy. The classification of industries is based on ISIC Rev 3.1. ? Socioeconomic accounts (SEA) provides time series data on Indian economy for number of persons engaged (employees plus self-employed) and labour compensation at sectoral level. This data is denominated in national currency at current prices and thus need to be put on a common basis for the NIOT which is done by using official exchange rates from IMF.
III.
The methodology undertaken in this study to accomplish the above mentioned objectives is as follows:
? In the beginning, Leontief (1936) An input output framework with nindustries for an economy can be expressed as a system of linear equations by the following expressions:
X i = ? n j=1 X ij + Y i ,i= 1,2,3?.(1)a
Lij =X ij /X j i, j = 1,n(2)Thus, abovementioned equation ( 1) can now be formulated with equation (2) as so called Leontief production function Equation (3):
X i = ? n j=1 a L,ij X j + Y i i=1,n(3)X= A L X + F (4) ( E )Global Journal of Human Social Science
Industry Specific Multipliers to Identify Key Industries of Indian Economy: An Application Ofinput Output Analysis
where, X ij is the output of sector i consumed by sector j, to alltypes of consumption and for final consumption denoted as Y i . Further the proportion of each input to the output of sector j is denoted by a Lij 's are called input or technical coefficientsand give the direct input requirement of the i th sector for producing one unit of output of j th sector excluding the indirect effects involved in production process.
where, X is endogenous and the column final demand, Y is exogenous.In matrix notation equation (3) can be written as where, A L is the n x n coefficient matrix consisting of standardized elements of a Lij , obtained by dividing each element of the column of the flow matrix by the total input of the buying sector. This equation is a fundamental equation of the open Leontief model.
where, (1-A L ) -1 known as Leontief Inverse or matrix multiplier, gives both direct and indirect requirements of inputs. While direct inputs are those purchased by the sector under consideration, indirect inputs are those purchased by all other sectors in which production has to adjust in order to supply inputs to specific sector.
The household sector receives wages for the work done in production process and spends some or all of this wage income on goods and services. Thus, it is necessary to include household consumption as a new column in the coefficient matrix and including the analogous income as an additional row. Household income is represented, as a proxy by total labour compensation defined as payment for labour services of wage employees and self-employed. The household income coefficient is nothing but the division of labour compensation by total output at basic prices, whereas, household consumption coefficient is obtained by dividing the private household consumption expenditure by total household consumption expenditure. The closed Leontief model for household augmented coefficient matrix would generate a Leontief inverse matrix of dimension (n+1) x (n+1).
X= (I n+1 -Ã L ) -1 *Y(6)Where, (I n+1 -Ã L ) -1 is Leontief inverse matrix for closed Leontief model. This closed Leontief model describes thedescribes the total amount of output induced by the requirement from all industries to produce output to satisfy the demand from an extra unit of output from an industry, and by the spending of the extra wages and salaries earned (from producing the additional output) by households (McLennan, 2006).
Using the demand side input output model, output and employment multipliers are generated following the methodology given with Miller and Blaire (2009).
The output multipliers for an industry j, is defined as the impact on the production of all industries of the economy due to increase in the final demand of industry j by one unit. This impact can be analyzed in terms of three effects. The direct effects are the production changes required to produce the product. This generates the further production changes in industries supplying the increased demand for intermediate goods and services known as indirect effects. Finally, the induced effects occur as households
The direct and indirect effects of can be derived via summation of column elements of Leontief inverse matrix obtained from equation ( 5) of open model.
Direct + indirect = ? n i=1 ( I-A L ) -1 = Type I Output Multipliers (7)Finally the direct, indirect and induced effects of output multiplier can be derived from the column sum of the Leontief inverse matrix from equation ( 6) closed model
Direct + Indirect + Induced effects = ? n+1 i=1 (I n+1 -Ã L ) -1 = Type II Output Multipliers(8)? Employment Multiplier
The employment multiplier of industry j, is the employment generated in all the industries due to increase in the final demand of industry j by one unit. The study takes into account, the direct and indirect employment change in industry j indicated by input output model plus the induced changes in employment resulting from household sector. The first step to calculate employment multiplier is to obtain the fixed labour coefficients for each industry.
e ij = L j /X j e j =e ij if i = j(9)where, L j is number of persons engaged (wage employees plus self-employed) and X j is gross output of industry j. (14) The direct plus indirect multiplier effects matrix can be obtained by multiplying labour coefficient, e ij for each industry and Leontief inverse matrix from equation ( 5) of open Leontief model. E( j) =e ij* (I-A L ) -1 = L ij (10) Thus, the column sum of the matrix gives the direct and indirect employment changes in industry j due to change in its final demand.
Finally, the direct, indirect as well as induced multiplier effects matrix of industry j can be obtained by multiplyinglabour coefficient, e ij with Leontief inverse of closed Leontief model from equation ( 6)
E (j) = e ij* (I n+1 -Ã L ) -1 = L * ij (12)Similarly, the columnsum of the matrix give total employment multiplier effectsof industry j. Direct + Indirect + Induced effects = ? n i=1 L ij * = Type II Employment Multipliers (13) spend their additional income on final goods and services. X= (I-A L ) -1 *Y (5)
IV.
The type I and type II output multipliers for all 35 industriesfor all the years are given in appendix table A and the table below shows top 10 industries with highest type I and type II multipliers. From both the tables, results reveal that type II output multipliers for all the industries are greater than type I output multipliers as the former contains the induced effects generated by household sector through payments for labour services and associated spending on goods produced by various sectors.
Food, Beverages and Tobacco, Textiles and Textile Products, Leather, Leather and Footwear, Rubber and Plastics, Machinery, Nec, have high type I output multipliers for all the years and the multiplier value of each industry contain only the direct and indirect requirement from all the sectors needed to supply to satisfy unit increase in final demand of an industry. Thus, type I output multiplier value of 2.24 for Food, Beverages and Tobacco, implies that every unit increase of final demand for this sector, through direct and indirect effects, theadditional demand created for output in other sectors in 2.
The type I and type II employment multipliers for all 35 industries for all the years are given in appendix table B and the table below shows industries with highest type I and type II employment multipliers. From both the tables, results reveal that type II employment multipliers are greater than type I multipliers for all the industries.
The type I employment multiplier for Agriculture, Hunting, Forestry and Fishing is 2.34, implies due to unit
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