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Cost and Productivity Experiences of Pakistan with Aggregate Learning Curve

Authors: Jamshaid ur Rehman, Shahida Wizarat


The principal focus of this study is on the measurement and analysis of labor learnings in Pakistan. The study at the aggregate economy level focus on the labor productivity movements and at large-scale manufacturing level focus on the cost structure, with isolating the contribution of the learning curve. The analysis of S-shaped curve suggests that learnings are only below one half of aggregate learning curve and other half shows the retardation in learning, hence retardation in productivity movements. The study implies the existence of learning economies in term of cost reduction that is input cost per unit produced decreases by 0.51 percent every time the cumulative production output doubles.

Keywords: Cost, Inflection Point, Learning Curve, Minima, Maxima, and Productivity

Digital Object Identifier (DOI):

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[1]. Besanko, D.; Dranove, D.; Shanery M. and Schaefer, S. Economics of Strategy. Third Edition, John Wiley & Sons, Inc. 2004; 95-104.
[2]. Yelle, Louis E. "The learning curve: historical review and comprehensive survey" Decision Sciences 1979;10; 302-328.
[3]. Wright, T. "Factors affecting the cost of airplanes" Journal of Aeronautical Science 1936;3; 122-128.
[4]. Middleton, K. Wartime productivity changes in the airframe industry. Monthly Labor Review 1945;61; 215-225.
[5]. Crawford, J. R. and E. Strauss. World War II acceleration of airframe production. Air Material Command, Dayton, Ohio; 1947.
[6]. Carr, G. W. Peacetime cost estimation requires new learning curves. Aviation 1946;45; 76-77.
[7]. Asher, Harold. "Cost-quantity relationships in the airframe industry. Santa Monica: Calif RAND Corporation 1956; Report 291.
[8]. Renshaw F. Edward. A note on the aggregate learning curve and CEA productivity goals. Growth and Change 1979;1; 10-15.
[9]. Roberts, C. Peter. A theory of the learning process. Journal of Operational Research Society 1983;34; 71-79.
[10]. Thomas, Annie and Dutton, John M. Treating progress function as a managerial opportunity. Academy of Management Review 1984;9; 235- 247.
[11]. Argote, L and Epple, D. "Learning curves in manufacturing" Science 1990;247; 920-924.
[12]. Conway, R. and A. Schultz. "The manufacturing progress function" Journal of Industrial Engineering 1959;10; 39-53.
[13]. Hirsch, Werner Z. "Manufacturing progress functions" Review of Economics and Statistics 1952;34; 143-155.
[14]. Sheshinski, Eytan. Tests of the learning by doing hypothesis. Review of Economics and Statistics 1967;49; 568-578.
[15]. Becker, S. and N. Baloff. "Organization structure and complex problem solving" Administrative Science Quarterly 1969;14; 260-271.
[16]. Abernathy, W. J. and N. Baloff. "A methodology for planning new product start-ups" Decision Sciences 1973;4; 1-20.
[17]. Muth, F. John. Search theory and the manufacturing progress function. Management Science 1986;32; 948-962.
[18]. Alchian, A. "Reliability of progress curves in air-frame production" Econometrica 1963;31; 679-693.
[19]. Searle, A. D. and Goody, C. S. Productivity increases in selected wartime shipbuilding programs. Monthly Labor Review 1945;61; 1132- 1147.
[20]. Adler, P. and Clark, K. Behind the learning curve: a sketch of the learning process Boston: Harvard Business School, Harvard University; 1987.
[21]. Zimmerman, M. B. "Learning effects and the commercialization of new energy technologies: the case of nuclear power" The Bell Journal of Economics 1982;13; 297-310.
[22]. Joskow Paul L. and Nancy L. Rose. "The effect of technological change, experience, and environmental regulation on the construction cost of coal-burning generating units" Rand Journal of Economics 1985;16; 1- 27.
[23]. Argote L., S. L. Beckman, D. Epple "The persistence and transfer of learning in industrial setting" Management Science 1990;36; 140-154.
[24]. Battese, G. E. and S. J. Malik. "Estimation of elasticities of substitution for CES production function using data on selected manufacturing industries in Pakistan" The Pakistan Development Review 1987a;26; 161-177.
[25]. Battese, G. E. and S. J. Malik. "Estimation of elasticities of substitution for CES and VES production function using firm-level data for food processing industries in Pakistan" The Pakistan Development Review 1988b;27; 59-71.
[26]. Battese, G. E. and S. J. Malik and N. Sultana. "Capital labour substitution large scale food processing industries in Pakistan: Some Recent Evidence" The Pakistan Development Review 1993;32; 847-57.
[27]. Kazi, S., Z. S. Khan and S. A. Khan "Production relations in Pakistan-s manufacturing" The Pakistan Development Review 1976;15; 406-423.
[28]. Kazmi, N. "Substitution elasticities in small and household manufacturing industries in Pakistan". PIDE: Islamabad 1981; Research Report Series, No.122.
[29]. Kemal, A. R. "An analysis of industrial efficiency in Pakistan 1959-60 to 1969-70". Ph.D. Thesis, University of Manchester, Manchester: 1978a.
[30]. Kemal, A. R. "Substitution elasticities in the large-scale manufacturing industries in Pakistan" The Pakistan Development Review 1981b;20; 1- 36.
[31]. Khan, A. H. "The two-level CES production function for the manufacturing sector of Pakistan" The Pakistan Development Review 1989;28; 1-12.
[32]. Khan, A. E. and M. Rafiq. "Substitution among labour, capital, imported raw materials, and bank credit in Pakistan-s manufacturing" The Pakistan Development Review 1993;32; 1259-1266.
[33]. Zahid, S. N., M. Akbar, and S. Jaffry A. "Technical change, efficiency, and capital-labour substitution in Pakistan-s large-scale manufacturing sector" The Pakistan Development Review 1992;31; 165-88.
[34]. Burki, A. A., M. A. Khan, and B. Bratsberg "Parametric tests of allocative efficiency in the manufacturing sectors of India and Pakistan" Applied Economics 1997;29; 155-169.
[35]. Mahmood, Z. "Derived demand for factors in the large-scale manufacturing sector of Pakistan" The Pakistan Development Review 1989;28; 731-742.
[36]. Mahmood, Z. "Factor price shocks, factor substitution and their implications for policy" International Economic Journal 1992;6; 63-73.
[37]. Chishti, S., and F. Mahmud. "Energy substitution in Pakistan-s manufacturing sector" Pakistan Economic and Social Review 1988;26; 17-64.
[38]. Chishti, S., and F. Mahmud. "The energy demand in the industrial sector of Pakistan" The Pakistan Development Review 1991;30; 83-88.
[39]. Ahmad, Eatzaz and Idress M. "The time profile of the cost structure in Pakistan-s manufacturing sector" The Pakistan Development Review 1999;38; 1101-1116.
[40]. Wizarat, Shahida. Sources of growth in Pakistan-s large-scale manufacturing sector. Applied Economics Research Centre, University of Karachi, 1987; Discussion Paper No. 88.
[41]. Wizarat, Shahida. Inter-Industry productivity differentials in Pakistan-s large-scale manufacturing sector. The Singapore Economic Review 1988; XXXIII;2; 49-65.
[42]. Ahmed, Meekal Aziz "Productivity, prices and relative income shares in Pakistan-s large-scale manufacturing". D.Phil. Thesis, University of Oxford, Oxford; 1980.
[43]. Wizarat, Shahida and Rashid, Shahnaz. The productivity trends in Pakistan-s manufacturing: 1955-81. Pakistan Journal of Applied Economics 1988;7; 109-119.
[44]. Cheema, Aftab Ahmed. "Productivity trends in the manufacturing industries" The Pakistan Development Review 1978;17; 44-65.
[45]. Mahmood, Zafar and Siddiqui, Rehana. State of technology and productivity in Pakistan-s manufacturing industries: some strategic directions to build technological competence. The Pakistan Development Review 2000;39; 1-21.
[46]. Khan, Mahmoodul Hassan and Burki, Abid A. "Estimation allocative efficiency and elasticities of substitution in the large-scale manufacturing sector of Pakistan. Pakistan" Journal of Applied Economics 2000;16; 49-63.
[47]. Wizarat, Shahida. The rise and fall of industrial productivity in Pakistan Oxford University Press: 2003.
[48]. Tan, Hong and Lopez, Gladys Acevedo. Mexico: in firm training for knowledge economy. The World Bank Policy Research 2003; Working Paper Series No. 2957.
[49]. Barron, John M; Berger, Mark C and Black, Dan A. "Do workers pay for on-the-job training? Journal of Human Resources 1999;34; 235-252.
[50]. Todaro, Michael P. Wages, industrial employment and labour productivity: the Kenyan experience. Eastern Africa Economic Review 1969;1; 29-46.
[51]. Kilby, Peter. "Organization and productivity in backward economies" Quarterly Journal of Economics 1962;76; 303-310.
[52]. Pack, H. The substitution of labour for capital in Kenyan manufacturing. The Economics Journal 1976;86; 45-58.
[53]. Arrow, Kenneth J. "The economic implications of learning by doing" Review of Economic Studies 1962;29; 155-173.
[54]. Rosen, Sherwin. Learning by experience as joint production. Quarterly Journal of Economics 1972;86; 366-382.
[55]. Khan, Shahrukh R; Shaw, W Douglass; Hussain, Fazal. "Causality between literacy and labor productivity in Pakistan" Economics of Education Review 1991;10; 245-251.
[56]. Thurstone, L. L. The learning function. Journal of General Psychology 1930;3; 469-93.
[57]. Merrell, Margaret. The relationship of individual growth to average growth. Human Biology 1931;3; 37-70.
[58]. Rapoport, Anatol. A derivation of a rote learning curve from the total uncertainty of a task. Bulletin of Mathematical Biology 1960;22; 85-97
[59]. Estes, W. K. "Toward a statistical theory of learning" Psychological Review 1950;57; 94-107.
[60]. Anzai Y., H. Simon "The theory of learning by doing" Psychological Review 1979;86; 124-140.
[61]. Hayes, KJ. "The backward curve: a method for the study of learning" Psychological Review 1953;60; 269-275.
[62]. Rowthorn, R. The Thatcher Revolution. Economic Paper 1989;2; 1-22.
[63]. Burgess, John (1990) "Another Productivity Paradox? The Accord and Recent Productivity Tends in Australian Manufacturing" Working Paper No. 3, ACIRRT, The University of Sydney.