Labor's shares - aggregate and industry: accounting for both in a model of unbalanced growth with induced innovation

The relative stability of aggregate labor's share constitutes one of the great macroeconomic ratios. However, relative stability at the aggregate level masks the unbalanced nature of industry labor's shares – the Kuznets stylized facts underlie those of Kaldor. We present a two-sector – one labor-only and the other using both capital and labor – model of unbalanced economic development with induced innovation that can rationalize these phenomena as well as several other empirical regularities of actual economies. Specifically, the model features (i) one sector ("goods" production) becoming increasingly capital-intensive over time; (ii) an increasing relative price and share in total output of the labor-only sector ("services"); and (iii) diverging sectoral labor's shares despite (iii) an aggregate labor's share that converges from above to a value between 0 and unity. Furthermore, the model (iv) supports either a neoclassical steadystate or long-run endogenous growth, giving it the potential to account for a wide range of real world development experiences.

Re-measuring labor's share

Measuring labor's share of an economy's aggregate income seems straightforward, at least in principle. Count up wage and salary income, along with the value of benefits provided to employees, and divide it by total income. However, one fundamental concept of labor's share in macroeconomic theory is not the amount of aggregate income paid out to labor. Rather, it is the share of aggregate production that is attributable to "raw" units of labor. Or, otherwise stated, it is the share of aggregate income that would have been paid to laborers if they had no accumulated stocks of human capital.1 This share corresponds to an aggregate production function parameter: the elasticity of output with respect to physical (i.e. non-augmented or raw) units of labor (Robert Solow, 1957). In this paper we estimate annual raw labor’s share for the US, 1949 to 1996.

Why labor income shares seem to be constant?

The common assumptions that labor income share does not change over time or across countries and that factor income shares are equal to the elasticity of output with respect to factors have had important implications for economic theory. However, there are various theoretical reasons why the elasticity of output with respect to reproducible factors should be correlated with the stage of development. In particular, the behavior of international trade and capital flows and the existence of factor saving innovations imply such a correlation. If this correlation exists and if factor income shares are equal to the elasticity of output with respect to factors then the labor income share must be negatively correlated with the stage of development. We propose an explanation for why labor income share has no correlation with income per capita: the existence of a labor intensive sector which produces non tradable goods.

Mercado laboral calificado en Colombia: Estudio sobre el desequilibrio entre oferta y demanda de trabajo para los años 2020 y 2030

El propósito básico de esta investigación es identificar los desajustes (déficits o superávits) no estructurales entre la oferta y demanda de trabajo en Colombia para los años 2020 y 2030, así como interpretar los hallazgos y proponer elementos de estrategia para las empresas a fin de mitigar los efectos adversos del desajuste sobre su capacidad para atraer y retener talento. El argumento central del proyecto consiste en sostener que en un escenario no mayor a los 10 años la oferta de trabajo calificado en Colombia no será suficiente para (i) equilibrar el mercado y (ii) atender la demanda agregada de trabajo, debido a los cambios generacionales en la realidad demográfica del país, el bajo nivel de preparación de la fuerza laboral disponible y los altos índices de informalidad de los trabajadores y las empresas. Dentro de los resultados se presenta una proyección del comportamiento del mercado de trabajo, así como la magnitud del desequilibrio entre los agentes del mercado. Este estudio aplicado es una propuesta cuantitativa de aproximación a la crisis de talento que se revisa en otros estudios. Es un precedente sólido para profundizar con otros enfoques el futuro del trabajo en Colombia.