Temporal evolution of the technological impact of Mexican patents: An application of the expectation-maximization algorithm


  • Aurora A. Ramírez Álvarez El Colegio de México A.C.
  • Diana Terrazas Santamaría El Colegio de México A.C.




patents, technological impact, networks, expectation-maximization algorithm, innovation


In this paper, we use the methodology of Clarkson et al. (2007) to analyze the patterns of citations of Mexican patents registered during 1968-2017 in the United States. Using an expectation-maximization algorithm and patent citations as an indicator of their utility, we find three groups of different citation pattern profiles: "Fast" receives the highest number of citations at a very early stage of their life (5 years), compared to "Medium" (10) and "Slow" (20). Moreover, the group "Fast" is associated with the most recent patents, with the lowest proportion of Mexican owners and inventors, and the highest economic value.


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Acatitla, E., A. Guzmán y T. Vázquez. 2016. Propensity toward industry-science links across Mexico’s technological sectors: An analysis of patents, 1980-2013, EconoQuantum, 13(1): 125-157.

Acemoglu, B.D., U. Akcigit, H. Alp, N. Bloom y W. Kerr. 2018. Innovation, reallocation, and growth, American Economic Review, 108(11): 3450-3491.

Aghion, P. y P. Howitt. 1992. A model of growth through creative destruction, Econometrica, 60(2): 323-351.

Alcácer, J., M. Gittelman y B. Sampat. 2009. Applicant and examiner citations in US patents: An overview and analysis, Research Policy, 38(2): 415-427.

Allison, J.R., M.A. Lemley, K.A. Moore y R.D. Trunkey. 2004. Valuable patents, Georgetown Law Journal, 92(3): 435-479.

Anderson, M.H., K. Cameron, D. Cislo y J. Saavedra. 2014. Why international inventors might want to consider filing their first patent application at the United States patent office & the convergence of patent harmonization and e-commerce, Santa Clara High Technology Law Journal, 30(4): 555-579.

Arrow, K. 1962. Economic welfare and the allocation of resources for invention, en R. Nelson (Ed.) The Rate and Direction of Inventive Activity: Economic and Social Factors, Princeton University Press, pp. 609-626.

Barroso, W., E. Pacheco y L. Quoniam. 2009. Patents as technological information in Latin America, World Patent Information, 31(3): 207-215.

Calderón, J., P. Flores y G.M. Martínez. 2012. Redes de conocimiento en empresas de la industria electrónica en México, Economía: Teoría y Práctica, 37: 121-143.

Clark, K.B. y R.M. Henderson. 1990. Architectural innovation: The reconfiguration of existing product technologies and the failure of established firms, Administrative Science Quarterly, 35(1): 9-30.

Clarkson, G., E.A. Leicht, K. Shedden y M.E.J. Newman. 2007. Large-scale structure of time evolving citation networks, The European Physical Journal B, 59(1): 75-83.

Csardi, G., P. Erdi, J. Tobochnik, K.J. Strandburg y L. Zalanyi. 2009. Patent citation networks revisited: Signs of a twenty-first century change?, North Carolina Law Review, 87(5): 1657-1698.

De Rassenfosse, G. y A.B. Jaffe. 2017. Patent citation data in social science research: Overview and best practices, Journal of the Association for Information Science and Technology, 68(6): 1360-1374.

Dempster, A.P., N.M. Laird y D.B. Rubin. 1977. Maximum likelihood from incomplete data via the EM algorithm, Journal of the Royal Statistical Society Series B Methodological, 39(1): 1-38.

Easterly, W., N. Fiess y D. Lederman. 2003. NAFTA and convergence in North America high expectations, big events, little time, Economía, 4(1): 1-53.

Érdi, P., K. Makovi, Z. Somogyvári, K. Strandburg, J. Tobochnik, P. Volf y L. Zalányi. 2013. Prediction of emerging technologies based on analysis of the US patent citation network, Scientometrics, 95(1): 225-242.

Hall, B.H. y M. Trajtenberg. 2004. Uncovering GPTS with patent data, NBER Working Paper, 10901.

Hall, B.H., A.B. Jaffe y M. Trajtenberg. 2001. The NBER patent citation data file: Lessons, insights and methodological tools, NBER Working Paper, 8498.

Hall, B.H. y R.H. Ziedonis. 2001. The patent paradox revisited: An empirical study of patenting in the US semiconductor industry, 1979-1995, The RAND Journal of Economics, 32(1): 101-128.

Hernández Trillo, F. 2018. Mexico, NAFTA, and beyond, International Trade Journal, 32(1): 5-20.

Izquierdo, L.R., M.A. Janssen, R.R.J. McAllister y D.M. Stafford Smith. 2009. Research impact within the international arid literature: An Australian perspective based on network theory, Journal of Arid Environments, 73(9): 862-871.

Lederman, D. y W.F. Maloney. 2005. Innovation in Mexico: NAFTA is not enough, en D. Lederman, W.F. Maloney y L. Servén (comps.), Lessons from NAFTA. For Latin America and the Caribbean Countries, Washington, DC: The World Bank.

Levy Algazi, S. 2018. Under-rewarded efforts: The elusive quest for prosperity in Mexico, Inter-American Development Bank.

Lemley, M.A. y C. Shapiro. 2005. Probabilistic patents, Journal of Economic Perspectives, 19(2): 75-98.

Mansfield, E. 1986. Patents and innovation: An empirical study, Management Science, 32(2): 173-181.

Meza González, L. 2016. Internacionalización y creación de nuevos productos y procesos en la industria manufacturera mexicana, Estudios Económicos, 31(2): 235-263.

Meza Rodríguez, N.I. y G. Millán Quintero. 2015. Los miembros del sistema nacional de investigadores mexicano: un acercamiento desde la producción de patentes 2003-2012, Interciencia, 40(12): 840-846.

Moore, K.A. 2005. Worthless patents, Berkeley Technology Lay Journal, 20(4): 1521-1552.

Navarro Campa, I.J. 2018. Patents and technological development in Mexico: A comparative study between the era of protectionist industrialization and the regime of openness, América Latina en la Historia Económica, 25(3): 223-257.

Oropeza García, A. 2014. TLCAN 20 AÑOS. ¿Celebración, desencanto o replanteamiento?, México, UNAM.

Pakes, A. y M. Schankerman. 1986. Estimates of the value of patent rights in European countries during the post-1950 period, The Economic Journal, 96(384): 1052-1076.

Shapiro, C. 2001. Navigating the patent thicket: Cross licenses, patent pools, and standard-setting, Innovation Policy and the Economy, MIT Press.

Ziedonis, R.H. 2004. Don’t Fence Me in: Fragmented markets for technology and the patent acquisition strategies of firms, Management Science, 50(6): 804-820.



How to Cite

Ramírez Álvarez, A. A., & Terrazas Santamaría, D. (2020). Temporal evolution of the technological impact of Mexican patents: An application of the expectation-maximization algorithm. Estudios Económicos De El Colegio De México, 35(1), 37–69. https://doi.org/10.24201/ee.v35i1.397