The Interrelation between Manufacturing Productivity, Maximum Sectoral Employment and National Income Per Capita

Rainer Przywara
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Abstract

According to the three-sector hypothesis, the national share of employees in the industrial sector will be shrinking after having reached a specific peak level. In line with societal development over time, the tipping point at which deindustrialization starts should be related to a certain income per capita. Predictions from literature showed an inverted-U relationship of manufacturing employment (%) over income per capita (log) for mature countries. By regression analysis, a universal tipping point at which deindustrialization starts was calculated. In this study, this theory was tested on a sample of 12 mature (high income, tipping by 1980) and 25 emerging (upper-middle income, later tipping) countries. No single standard function for all national economies was found, but certain paths related to the general state of economic development of national economies. The tipping point is moving over time, driven by increasing sectoral productivity. Productivity rises result in a shift over time towards higher income (x-axis) and lower relative employment (y-axis). In accordance with existing theory, the country-specific maximum of relative employment in manufacturing is reached at a certain threshold productivity, which again corresponds to a specific national income per capita. As a stylized fact, two falling linear functions of maximum manufacturing employment (%) over GDP per capita (log) were identified for mature and emerging countries. Their divide follows the international division of labour between highly-productive technology owners (mature countries) and less productive sub-suppliers (emerging countries). In addition, the critical manufacturing productivity at which maximum manufacturing employment is reached was analysed as a function of time (tipping year). Corresponding to the findings on the tipping point, the critical manufacturing productivity is rising over time. Two markedly separated rising linear functions for mature and emerging countries were identified.
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制造业生产率、最大部门就业和人均国民收入之间的相互关系
根据三部门假说,工业部门的全国雇员比例在达到特定的峰值水平后将会萎缩。随着时间的推移,随着社会的发展,开始去工业化的临界点应该与一定的人均收入有关。文献预测显示成熟国家制造业就业(%)与人均收入(log)呈倒u型关系。通过回归分析,计算出了一个开始去工业化的普遍临界点。在这项研究中,这一理论在12个成熟国家(高收入,到1980年给小费)和25个新兴国家(中高收入,后来给小费)的样本上进行了测试。没有找到适用于所有国民经济的单一标准函数,而是找到了与国民经济总体经济发展状况相关的若干路径。随着时间的推移,在部门生产率不断提高的推动下,临界点正在发生变化。随着时间的推移,生产率的提高导致收入的增加(x轴)和相对就业率的下降(y轴)。根据现有理论,制造业相对就业的具体国家最大值是在某一生产率门槛上达到的,这又对应于特定的人均国民收入。作为一个程式化的事实,两个下降的线性函数最大制造业就业(%)超过人均GDP (log)被确定为成熟和新兴国家。它们的划分遵循了高生产率技术所有者(成熟国家)和低生产率次级供应商(新兴国家)之间的国际分工。此外,达到最大制造业就业的关键制造业生产率作为时间(小费年)的函数进行了分析。与临界点的发现相对应,关键的制造业生产率随着时间的推移而上升。确定了成熟国家和新兴国家的两个明显分离的上升线性函数。
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