Semi-endogenous endogenous growth theory theory: a sectoral approach

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Semi-endogenous endogenous growth theory versus fully-endogenous growth theory: a sectoral approach Sara Barcenilla-Vis Visús,, Carmen LópezL pez-pueyo, Jaime Sanaú University of Zaragoza (sbarceni@unizar.es, clopez@unizar.es, jsanau@unizar.es) WIOD Conference on Industry-Level Analyses of Globalization and its Consequences 1

First and second endogenous growth theories Sectoral application Sample Previous unit root and cointegration tests Explanatory models of TFP growth Conclusions 2

A sectoral approach Focus on the sectoral level. The best approach to assess the usefulness of innovation-based endogenous growth models (Aghion( and Durlauf,, 2009). 3

First-generation endogenous growth models Constant returns to scale in knowledge- creation function. TFP (and per capita output) growth depends on the population size. It will suffice to increase the population size to raise the TFP growth rate. 4

Jones s s paradox Economic reality U.S. productivity: acceleration at the start of the 2000s, in spite of the reduction in ICT investment. Second-generation endogenous theories Semi-endogenous endogenous growth theory Fully-endogenous growth theory growth 5

Semi-endogenous endogenous growth theory Decreasing returns to scale in the knowledge-creation function. TFP (and per capita output) growth depends on population growth rate. It will be necessary to increase the population growth rate to raise the TFP growth rate. 6

Fully-endogenous growth theory Constant returns to scale in the knowledge-creation function. Product differentiation process associated with economic growth. The effectiveness of the R&D input is diluted TFP growth depends on research intensity growth rate, measuring the research intensity as R&D input/product proliferation. It will be necessary to increase the research intensity growth rate to raise the TFP growth rate TFP growth can remain constant (if the increase of the R&D input is smaller than the increase on the product differentiation). 7

Consequently Product differentiation prevents the population size from having a scale effect on long-run growth (a characteristic of the first-generation models). TFP growth depends on economic factors and economic policy measures (a crucial difference with respect to the semi-endogenous endogenous growth model). 8

Empirical application The Semi-endogenous endogenous growth theory and the fully-endogenous growth theory were tested at industrial-level level in this paper. The sample: Period 1979-2001 Ten industries Finland, France, Italy, USA, Canada and Spain. 9

Variables The TFP index used (A)( ) was the Tornqvist index. V, L and K were taken from the STAN database. Two variables representing the R&D input: Business R&D expenditures (R),( taken from the OECD ANBERD. (R/A)) (used in Schumpeterian models). Product proliferation: A/L or V. Research intensity: R/AL or R/V. 10

Previous unit root and cointegration tests Madsen (2008) proposed : ln X t = μ lnq t + k lna t + e t. where k = (1- Φ)/ )/σ (Φ is returns to scale in knowledge and σ is a duplication parameter). The semi-endogenous endogenous growth theory implies that K > 0 (decreasing returns to scale) μ = 0 (without product proliferation) The Schumpeterian growth theory presupposes k=0 (constant returns to scale) and μ = 1. 1 11

Results of tests All variables had a unit root The growth in all variables was stationary Cointegration tests: Denied the validity of the Semi-endogenous endogenous hypothesis Supported an extended semi-endogenous endogenous growth model (with product proliferation) Suggested the validity of the Schumpeterian approach (although product differentiation had not the expected parameter) 12

13 First First explanatory explanatory model model jt i DF Q X Q X X X A ij f f d d f d ij ε β β β β β β + + + + Δ + Δ + = Δ 5 4 3 2 1 0, ln ln ln ln ln

First explanatory model This expression nested the models and included: International technological spillovers (X f ) Distance to technological frontier ( (DF ) The semi-endogenous endogenous growth hypothesis β 1 >0, β 2 >0 β 3 = β 4 = β 5 = 0 The Schumpeterian prediction β = β 1 2=0 β 3 >0, β 4 >0, β 5 >0 14

First explanatory model X f was proxied as proposed by Coe and Helpman (1995). DF was defined in two alternative forms: DF 1 = A max A max A i 5 2 DF = A Ai max 5 15

Results of the estimation of the first explanatory model Estimates in five-year differences (240 observations). Positive and significant effect of domestic and foreign R&D expenditure growth (as postulated by the semi-endogenous endogenous theory). Negative and significant effect of domestic and foreign research intensity. Positive and significant effect of distance to the frontier. 16

A new research intensity variable Was research intensity properly measured? What may happen if a more adequate variable to measure effective technological research was used? 17

A new research intensity variable Why is the new variable more adequate? Because R&D expenditure has to be sufficient to: Compensate depreciation of capital Increase in the stock of knowledge Compensate product proliferation 18

Effective research intensity was measured using Technological stocks Hours worked by persons engaged and number of persons engaged (to proxy product differentiation). 19

20 Second Second explanatory explanatory model model f f efect d d efect f d ij DF Q X Q X X X A ε β β β β β β + + Δ + Δ + Δ + Δ + = Δ 5 4 3 2 1 0, ln ln ln ln ln

Results of the estimation of the second explanatory model Domestic and foreign R&D expenditure growth lose their significance. Positive and significant effect of: EffectiveEffective technological research DistanceDistance to the frontier 21

Third explanatory model (effective research intensity & absorptive capacity) Δ ln A + β4 Δ ln = β0, ij f X efect f Q + β1 Δ ln X d + β DF 5 ij + β2 Δ ln + β ln 6 f X + β3 Δ ln X d efect Q d DF ij X d efect Q d + ε 22

The absorptive capacity was measured by the interaction between: Research intensity Distance to the frontier 23

Results of the estimation of the third explanatory model Domestic and foreign R&D expenditure growth could not be considered statistically significant Domestic and foreign effective research intensity, distance to the frontier and absorptive capacity had positive and significant coefficients 24

Conclusions Unit root and cointegration tests Estimation of the models Policy design 25

Conclusions of the tests The unit root and cointegration tests suggested the validity theoretical framework: of a hybrid Semi-endogenous endogenous approach + product proliferation 26

Conclusions of the estimations of the models In semi-endogenous endogenous models, when research intensity was proxied as a ratio between measures of R&D and product proliferation: Domestic and foreign R&D expenditure growth had positive and significant coefficients Research intensity showed a negative influence 27

Conclusions of the estimation of the models The empirical evidence supported the fully- endogenous growth models when TFP growth depends on: The effective research intensity Distance to the frontier Absorptive capacity Deeper analysis of the role of human capital and institutions is required. 28

Policy design Economic policy measures to ensure catching up and the possibility of imitating the leader are not adequate for countries which are not far from the technological frontier. A new pattern of intervention becomes necessary. The new innovation model requires to promote: Effective research intensity. Indirect sources of innovation and growth such as competition, investment in education, reduction of credit constraints and flexibility in labour markets. 29

Semi-endogenous endogenous growth theory versus fully-endogenous growth theory: a sectoral approach Sara Barcenilla-Vis Visús,, Carmen LópezL pez-pueyo, Jaime Sanaú University of Zaragoza (sbarceni@unizar.es, clopez@unizar.es, jsanau@unizar.es) WIOD Conference on Industry-Level Analyses of Globalization and its Consequences 30