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KOBİ Büyümesinden Kaynaklanan Potansiyel Verimlilik Kazançlarının Modellenmesi: Türk İmalat Sanayii İçin Bir Monte Carlo Simülasyonu

Year 2025, Volume: 59 Issue: 3, 589 - 608, 21.07.2025
https://doi.org/10.51551/verimlilik.1688156

Abstract

Amaç: Bu çalışma, Türkiye imalat sanayiinde faaliyet gösteren küçük ve orta büyüklükteki işletmelerin (KOBİ), mikro ölçekten küçük ölçeğe ve küçük ölçekten orta ölçeğe geçiş yapmaları halinde elde edebilecekleri işgücü verimliliği kazanımlarını tahmin etmeyi amaçlamaktadır.
Yöntem: TÜİK’in çalışan başına katma değer verileri kullanılarak, teknolojik düzey sabit tutulurken firma ölçeğinin değiştiği Monte Carlo simülasyonları gerçekleştirilmiştir. Sınıf içi heterojenliği temsil etmek üzere log-normal ve gamma şok süreçleri; 0,5, 1,0 ve 2,0 olmak üzere üç farklı değişim katsayısıyla birleştirilmiştir.
Bulgular: Yüksek teknoloji düzeyindeki KOBİ’ler, özellikle küçükten orta ölçeğe geçişte, ortalama 260–370 bin TL arasında değişen en yüksek verimlilik artışlarını sağlamaktadır. Düşük teknoloji firmaları ise daha sınırlı ortalama artışlar göstermekte; heterojenlik düzeyi arttıkça olumsuz sonuçlarla karşılaşma olasılığı da yükselmektedir. Log-normal şoklar daha kalın üst kuyruklara ve aşırı yüksek performans gösteren firmalara yol açarken, gamma şokları daha dar merkezi dağılımlar üretmekte; ancak yüksek saçılma düzeylerinde yine de dikkate değer aykırı değerlere rastlanmaktadır.
Özgünlük: Bu çalışma, Türkiye’de KOBİ’lerin ölçek büyütmesinden doğabilecek potansiyel verimlilik kazanımlarını tamamen stokastik bir çerçevede niceliksel olarak ortaya koyan ilk çalışmalardan biridir. Teknolojiye bağlı heterojenliği toplulaştırılmış veriyle modelleyerek, koşullu teşvikler ve hedefe yönelik sanayi politikaları için yeni ve özgün bir kanıta dayalı yaklaşım sunmaktadır.

References

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  • Beck, T. and Demirguc-Kunt, A. (2006). “Small and Medium-Size Enterprises: Access to Finance as a Growth Constraint”, Journal of Banking & Finance, 30(11), 2931-2943. https://doi.org/10.1016/j.jbankfin.2006.05.009
  • Cabral, L.M.B. and Mata, J. (2003). “On the Evolution of the Firm Size Distribution: Facts and Theory”, American Economic Review, 93(4), 1075-1090. https://doi.org/10.1257/000282803769206205
  • Chirita, B.M., Máñez Castillejo, J.A., and Vicente-Chirivella, Ó. (2025). “Perform, Start, Continue R&D Activities: Do Financial Constraints Matter?”, Eurasian Business Review, 15, 1-43. https://doi.org/10.1007/s40821-024-00284-5
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  • Díaz, M.A. and Sánchez, R. (2007). “Firm Size and Productivity in Spain: A Stochastic Frontier Analysis,” Small Business Economics, 30(3), 315-323. https://doi.org/10.1007/s11187-007-9058-x
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  • Hötte, K., Somers, M. and Theodorakopoulos, A. (2023). “Technology and Jobs: A Systematic Literature Review,” Technological Forecasting and Social Change, 194, 122750. https://doi.org/10.1016/j.techfore.2023.122750
  • Ishikawa, A., Fujimoto, S. and Mizuno, T. (2022). “Statistical Properties of Labor Productivity Distributions”, Frontiers in Physics, 10, 848193. https://doi.org/10.3389/fphy.2022.848193
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  • Krüger, J.J. (2006). “Using the Manufacturing Productivity Distribution to Evaluate Growth Theories”, Structural Change and Economic Dynamics, 17(2), 248-258. https://doi.org/10.1016/j.strueco.2005.12.002
  • Kumar, K.B., Rajan, R.G., and Zingales, L. (1999). “What Determines Firm Size?” NBER Working Paper No. 7208. National Bureau of Economic Research. https://doi.org/10.3386/w7208
  • Lee, K.S., Lim, G.H. and Tan, S.J. (1999). “Dealing with Resource Disadvantage: Generic Strategies for SMEs”, Small Business Economics, 12, 299-311. https://doi.org/10.1023/A:1008085310245
  • Lehner, F. and Sundby, M.W. (2018). “ICT Skills and Competencies for SMEs: Results from a Structured Literature Analysis on the Individual Level”, (Editor: C. Harteis), The Impact of Digitalization in the Workplace (Vol. 21, pp. 55-74). Springer. https://doi.org/10.1007/978-3-319-63257-5_5
  • Lundvall, K. and Battese, G.E. (2000). “Firm Size, Age and Efficiency: Evidence from Kenyan Manufacturing Firms”, Journal of Development Studies, 36(3), 146-163. https://doi.org/10.1080/00220380008422632
  • Mason, C., and Brown, R. (2013). “Creating Good Public Policy to Support High-Growth Firms”, Small Business Economics, 40, 211-225. https://doi.org/10.1007/s11187-011-9369-9
  • Medrano-Adan, L., Salas‐Fumás, V. and Sánchez-Asín, J.J. (2018). “Firm Size and Productivity from Occupational Choices”, Small Business Economics, 53(1), 243-267. https://doi.org/10.1007/s11187-018-0048-y
  • Musa, H., Krištofík, P., Medzihorský, J. and Klieštik, T. (2024). “The Development of Firm Size Distribution–Evidence from Four Central European Countries”, International Review of Economics & Finance, 91, 98-110. https://doi.org/10.1016/j.iref.2023.12.003
  • O'Regan, N., Ghobadian, A. and Gallear, D. (2006). “In Search of the Drivers of High Growth in Manufacturing SMEs”, Technovation, 26(1), 30-41. https://doi.org/10.1016/j.technovation.2005.05.004
  • OECD. (2019). “OECD SME and Entrepreneurship Outlook 2019”, OECD Publishing, Paris. https://doi.org/10.1787/34907e9c-en
  • OECD. (2021). “Understanding Firm Growth: Helping SMEs Scale Up, OECD Studies on SMEs and Entrepreneurship”, OECD Publishing, Paris. https://doi.org/10.1787/fc60b04c-en
  • OECD. (2025). “Better Regulation for the Green Transition Stress-Testing Toolkit”, OECD Public Governance Policy Papers, OECD Publishing, Paris.
  • Okubo, T. and Tomiura, E. (2014). “Skew Productivity Distributions and Agglomeration: Evidence from Plant-Level Data”, Regional Studies, 48(9), 1514-1528. https://doi.org/10.1080/00343404.2012.753143
  • Özbuğday, F.C. (2024). “SMEs as Victims of Competition Violations in the EU: An Empirical Investigation”, Journal of Business Economics and Management, 25(6), 1161-1183. https://doi.org/10.3846/jbem.2024.22726
  • Palmié, M., Parida, V., Mader, A., and Wincent, J. (2023). “Clarifying the Scaling Concept: A Review, Definition, and Measure of Scaling Performance and an Elaborate Agenda for Future Research”, Journal of Business Research, 158, 113630. https://doi.org/10.1016/j.jbusres.2022.113630
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  • Saunila, M. (2020). “Innovation Capability in SMEs: A Systematic Review of the Literature”, Journal of Innovation & Knowledge, 5(4), 260-265. https://doi.org/10.1016/j.jik.2019.11.002
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Modeling Potential Productivity Gains from SME Growth: A Monte Carlo Simulation for Turkish Manufacturing Firms

Year 2025, Volume: 59 Issue: 3, 589 - 608, 21.07.2025
https://doi.org/10.51551/verimlilik.1688156

Abstract

Purpose: The paper estimates the labor-productivity gains that Turkish manufacturing small- and medium-sized enterprises (SMEs) can expect when they scale up from micro to small and from small to medium size classes.
Methodology: Using value-added-per-employee data from TurkStat, we run Monte Carlo simulations that keep the technological tier constant while varying firm size. Log-normal and gamma shock processes are combined with three coefficients of variation (0.5, 1.0, 2.0) to represent alternative degrees of within-class heterogeneity.
Findings: High-technology SMEs realize the highest average gains—around TL 260–370 thousand—especially in the small-to-medium transition. Low-technology firms show modest mean improvements and a rising probability of negative outcomes as heterogeneity increases. Log-normal shocks generate fatter upper tails and more extreme winners, whereas gamma shocks deliver narrower central ranges but still sizable outliers at high dispersion.
Originality: This is among the first studies to quantify potential productivity pay-offs from SME scaling in Turkey within a fully stochastic framework. By modeling technology-conditioned heterogeneity with aggregate data, it offers fresh evidence for designing conditional subsidies and other targeted industrial-policy tools.

References

  • Akcigit, U., Akgunduz, Y.E., Cilasun, S.M., Ozcan-Tok, E. and Yilmaz, F. (2020). “Facts on Business Dynamism in Turkey”, European Economic Review, 128, 103490. https://doi.org/10.1016/j.euroecorev.2020.103490
  • Arbelo, A., Arbelo-Pérez, M., and Pérez-Gómez, P. (2022). “Are SMEs Less Efficient? A Bayesian Approach to Addressing Heterogeneity Across Firms”, Small Business Economics, 58(4), 1915-1929. https://doi.org/10.1007/s11187-021-00489-2
  • Beck, T. and Demirguc-Kunt, A. (2006). “Small and Medium-Size Enterprises: Access to Finance as a Growth Constraint”, Journal of Banking & Finance, 30(11), 2931-2943. https://doi.org/10.1016/j.jbankfin.2006.05.009
  • Cabral, L.M.B. and Mata, J. (2003). “On the Evolution of the Firm Size Distribution: Facts and Theory”, American Economic Review, 93(4), 1075-1090. https://doi.org/10.1257/000282803769206205
  • Chirita, B.M., Máñez Castillejo, J.A., and Vicente-Chirivella, Ó. (2025). “Perform, Start, Continue R&D Activities: Do Financial Constraints Matter?”, Eurasian Business Review, 15, 1-43. https://doi.org/10.1007/s40821-024-00284-5
  • Coase, R. (1937). “The Nature of the Firm,” Economica, 16(4), 386-405.
  • Cortés, L.M., Lozada, J.M. and Perote, J. (2021). “Firm Size and Economic Concentration: An Analysis from A Log-Normal Expansion”, Plos One, 16(7), e0254487. https://doi.org/10.1371/journal.pone.0254487
  • Coviello, N., Autio, E., Nambisan, S., Patzelt, H., and Thomas, L.D. (2024). “Organizational Scaling, Scalability, and Scale-Up: Definitional Harmonization and a Research Agenda”, Journal of Business Venturing, 39(5), 106419. https://doi.org/10.1016/j.jbusvent.2024.106419
  • Covin, J.G. and Slevin, D.P. (1989). “Strategic Management of Small Firms in Hostile and Benign Environments”, Strategic Management Journal, 10(1), 75-87. https://doi.org/10.1002/smj.4250100107
  • Cravo, T. A., Gourlay, A. and Becker, B. (2012). “SMEs and Regional Economic Growth in Brazil”, Small Business Economics, 38, 217-230. https://doi.org/10.1007/s11187-010-9261-z
  • Díaz, M.A. and Sánchez, R. (2007). “Firm Size and Productivity in Spain: A Stochastic Frontier Analysis,” Small Business Economics, 30(3), 315-323. https://doi.org/10.1007/s11187-007-9058-x
  • ECB (2024). “Digitalisation and Productivity”, ECB Occasional Paper Series, No. 339.
  • Elhusseiny, H.M. and Crispim, J. (2022). “SMEs, Barriers and Opportunities on Adopting Industry 4.0: A Review”, Procedia Computer Science, 196, 864-871. https://doi.org/10.1016/j.procs.2021.12.086
  • Gherghina, Ș.C., Botezatu, M.A., Hosszu, A. and Simionescu, L.N. (2020). “Small and Medium-Sized Enterprises (SMEs): The Engine of Economic Growth Through Investments and Innovation”, Sustainability, 12(1), 347. https://doi.org/10.3390/su12010347
  • Hallberg, K. (2000). A Market-Oriented Strategy for Small and Medium Scale Enterprises (Vol. 63). World Bank Publications.
  • Hodgson, G. M., Herman, S., and Dollimore, D.E. (2017). “Adaptability and Survival in Small- and Medium-Sized Firms”, Industrial and Corporate Change, dtx039, https://doi.org/10.1093/icc/dtx039
  • Hötte, K., Somers, M. and Theodorakopoulos, A. (2023). “Technology and Jobs: A Systematic Literature Review,” Technological Forecasting and Social Change, 194, 122750. https://doi.org/10.1016/j.techfore.2023.122750
  • Ishikawa, A., Fujimoto, S. and Mizuno, T. (2022). “Statistical Properties of Labor Productivity Distributions”, Frontiers in Physics, 10, 848193. https://doi.org/10.3389/fphy.2022.848193
  • Klewitz, J., and Hansen, E.G. (2014). “Sustainability-Oriented Innovation of SMEs: A Systematic Review”, Journal of Cleaner Production, 65, 57-75. https://doi.org/10.1016/j.jclepro.2013.07.017
  • Koehler, E., Brown, E. and Haneuse, S.J.P.A. (2009). “On the Assessment of Monte Carlo Error in Simulation-Based Statistical Analyses”, The American Statistician, 63(2), 155-162. https://doi.org/10.1198/tast.2009.0030
  • Krüger, J.J. (2006). “Using the Manufacturing Productivity Distribution to Evaluate Growth Theories”, Structural Change and Economic Dynamics, 17(2), 248-258. https://doi.org/10.1016/j.strueco.2005.12.002
  • Kumar, K.B., Rajan, R.G., and Zingales, L. (1999). “What Determines Firm Size?” NBER Working Paper No. 7208. National Bureau of Economic Research. https://doi.org/10.3386/w7208
  • Lee, K.S., Lim, G.H. and Tan, S.J. (1999). “Dealing with Resource Disadvantage: Generic Strategies for SMEs”, Small Business Economics, 12, 299-311. https://doi.org/10.1023/A:1008085310245
  • Lehner, F. and Sundby, M.W. (2018). “ICT Skills and Competencies for SMEs: Results from a Structured Literature Analysis on the Individual Level”, (Editor: C. Harteis), The Impact of Digitalization in the Workplace (Vol. 21, pp. 55-74). Springer. https://doi.org/10.1007/978-3-319-63257-5_5
  • Lundvall, K. and Battese, G.E. (2000). “Firm Size, Age and Efficiency: Evidence from Kenyan Manufacturing Firms”, Journal of Development Studies, 36(3), 146-163. https://doi.org/10.1080/00220380008422632
  • Mason, C., and Brown, R. (2013). “Creating Good Public Policy to Support High-Growth Firms”, Small Business Economics, 40, 211-225. https://doi.org/10.1007/s11187-011-9369-9
  • Medrano-Adan, L., Salas‐Fumás, V. and Sánchez-Asín, J.J. (2018). “Firm Size and Productivity from Occupational Choices”, Small Business Economics, 53(1), 243-267. https://doi.org/10.1007/s11187-018-0048-y
  • Musa, H., Krištofík, P., Medzihorský, J. and Klieštik, T. (2024). “The Development of Firm Size Distribution–Evidence from Four Central European Countries”, International Review of Economics & Finance, 91, 98-110. https://doi.org/10.1016/j.iref.2023.12.003
  • O'Regan, N., Ghobadian, A. and Gallear, D. (2006). “In Search of the Drivers of High Growth in Manufacturing SMEs”, Technovation, 26(1), 30-41. https://doi.org/10.1016/j.technovation.2005.05.004
  • OECD. (2019). “OECD SME and Entrepreneurship Outlook 2019”, OECD Publishing, Paris. https://doi.org/10.1787/34907e9c-en
  • OECD. (2021). “Understanding Firm Growth: Helping SMEs Scale Up, OECD Studies on SMEs and Entrepreneurship”, OECD Publishing, Paris. https://doi.org/10.1787/fc60b04c-en
  • OECD. (2025). “Better Regulation for the Green Transition Stress-Testing Toolkit”, OECD Public Governance Policy Papers, OECD Publishing, Paris.
  • Okubo, T. and Tomiura, E. (2014). “Skew Productivity Distributions and Agglomeration: Evidence from Plant-Level Data”, Regional Studies, 48(9), 1514-1528. https://doi.org/10.1080/00343404.2012.753143
  • Özbuğday, F.C. (2024). “SMEs as Victims of Competition Violations in the EU: An Empirical Investigation”, Journal of Business Economics and Management, 25(6), 1161-1183. https://doi.org/10.3846/jbem.2024.22726
  • Palmié, M., Parida, V., Mader, A., and Wincent, J. (2023). “Clarifying the Scaling Concept: A Review, Definition, and Measure of Scaling Performance and an Elaborate Agenda for Future Research”, Journal of Business Research, 158, 113630. https://doi.org/10.1016/j.jbusres.2022.113630
  • Presidency of Strategy and Budget. (2020). The Eleventh Development Plan (2019-2023). https://www.sbb.gov.tr/wp-content/uploads/2022/07/Eleventh_Development_Plan_2019-2023.pdf (Accessed: 10.09.2024)
  • Presidency of Strategy and Budget. (2023). The Twelfth Development Plan (2024-2028). https://www.sbb.gov.tr/wp-content/uploads/2024/06/Twelfth-Development-Plan_2024-2028.pdf (Accessed: 10.09.2024)
  • Raes, S. (2021). “Understanding SME Heterogeneity: Towards Policy Relevant Typologies for SMEs and Entrepreneurship: An OECD Strategy for SMEs and Entrepreneurship”, OECD. https://www.oecd.org/content/dam/oecd/en/publications/reports/2021/10/understanding-sme-heterogeneity_785f937d/c7074049-en.pdf (Accessed: 10.07.2024)
  • Sagala, G.H. and Őri, D. (2024). “Toward SMEs Digital Transformation Success: A Systematic Literature Review”, Information Systems and e-Business Management, 22(4), 667-719. https://doi.org/10.1007/s10257-024-00682-2
  • Saunila, M. (2020). “Innovation Capability in SMEs: A Systematic Review of the Literature”, Journal of Innovation & Knowledge, 5(4), 260-265. https://doi.org/10.1016/j.jik.2019.11.002
  • Schoar, A. (2010). “The Divide Between Subsistence and Transformational Entrepreneurship”, Innovation Policy and the Economy, 10, 57-81. https://doi.org/10.1086/605853
  • Shane, S. (2009). “Why Encouraging More People to Become Entrepreneurs Is Bad Public Policy”, Small Business Economics, 33(2), 141-149. https://doi.org/10.1007/s11187-009-9215-5
  • Smallbone, D., Piasecki, B., Venesaar, U., Todorov, K. and Labrianidis, L. (1998). “Internationalisation and SME Development in Transition Economies: An International Comparison”, Journal of Small Business and Enterprise Development, 5(4), 363-375. https://doi.org/10.1108/eum0000000006800
  • State Planning Organization. (1995). “The Seventh Five-Year Development Plan (1996-2000)”, https://www.sbb.gov.tr/wp-content/uploads/2022/07/Seventh_Five_Year_Development_Plan_1996-2000.pdf (Accessed: 10.09.2024)
  • State Planning Organization. (2001). “Long-Term Strategy and the Eighth Five-Year Development Plan (2001-2005)”, https://www.sbb.gov.tr/wp-content/uploads/2022/07/Long-Term_Strategy_and_Eight_Five_Year_Development_Plan_2001-2005.pdf (Accessed: 10.09.2024)
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There are 50 citations in total.

Details

Primary Language English
Subjects Applied Economics (Other), Statistics (Other)
Journal Section Araştırma Makalesi
Authors

Fatih Cemil Özbuğday 0000-0001-5841-4343

Publication Date July 21, 2025
Submission Date April 30, 2025
Acceptance Date May 22, 2025
Published in Issue Year 2025 Volume: 59 Issue: 3

Cite

APA Özbuğday, F. C. (2025). Modeling Potential Productivity Gains from SME Growth: A Monte Carlo Simulation for Turkish Manufacturing Firms. Verimlilik Dergisi, 59(3), 589-608. https://doi.org/10.51551/verimlilik.1688156

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