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Efectos de la capacidad innovadora en el crecimiento economico de las entidades federativas en Mexico.

Effects of innovative capacity on the economic growth of the states in Mexico

Introduction

The current economic structure is transforming the demands of markets around the world. The information revolution has led to the expansion of productive networks, provided new opportunities for access and created an environment for faster generation and transfer of knowledge (Lopez-Leyva, Castillo-Arce & Rios-Flores, 2017). This structural change is clearly seen in the most competitive economies, which have moved towards industrial segments with a higher technological content, such as pharmaceuticals and aeronautics (Fagerberg, Srholec & Verspagen, 2010).

Countries such as South Korea, Taiwan, Singapore, Hong Kong, India, and Brazil as well as Malaysia, Thailand, the Philippines and Indonesia have experienced considerable progress in the economic and technological arenas as a result of foreign direct investment, the development of human capital, the importation of technology incorporated in the capital, and their remarkable dedication to international trade (Castillo, Rios & Bajo, 2015). In other developing countries, the picture is different since they are in the so-called paradox of innovation, where increases in technological effort have not generated greater innovation, and in turn, the innovations produced have not had a significant impact on the standard of living for this group of countries (Dosi, Llerena & Sylos-Labini, 2006).

In the internal spatial environments of these countries, these economic and technological disparities also exist among their inhabitants. Among Mexico's various regions, economic, institutional, cultural and technological heterogeneity is permeable (Rios-Flores & Ocegueda-Hernandez, 2017). The states along the northern border and some others in central Mexico such as Mexico City, Jalisco or Queretaro are heavily focused on export manufacturing. Likewise, states oriented towards agriculture reveal important differences among themselves. For example, Baja California, Sinaloa and Sonora have a higher level of technology than other Mexican states with agricultural production (Ocegueda, Castillo & Varela, 2009).

The study of innovation using patent data is admittedly imperfect since technological efforts do not necessarily translate into more patents (Nagaoka, Motohashi & Goto, 2010) due to the inadequate protection of intellectual property rights, business strategy issues, or the absence of a productive system that translates the technological efforts into innovative products and subsequently into commercial benefit (Cimoli, Porcili, Primi & Vergara, 2005). Figure 1 shows the relationship between income levels and innovation in Mexico using patent applications as an example of the possible relationships between technological effort and growth.

In panels (a) and (e) of Figure 1, it is not possible to determine a stable relationship between patents and the per capita gross domestic product (GDP). In (a), the critical mass is found in regions with few patent applications, and its relationship is unclear. In (e), there is a wide dispersion with a slope of almost zero. When relating patent applications to the population, the relationships seem to be clear in panels (b) and (f). However, the trend for the laggards remains flat. In the Leader panels (c) and (d), the relationship is positive and more stable than that in the rest of the panels. In any case, the relationship between patents and income is not clear, so the effect of the states' innovative capacity on economic growth must be questioned, along with the relevance of the differences in context between entities.

Recommendations for overcoming economic stagnation are generally based on industrial issues linked to innovation and international trade. Therefore, the main objective of this work is to estimate the effect of innovative capacity (ic) on the economic growth of Mexico's states, highlighting the differences in their respective contexts, and in turn, comparing the income effects of two innovation indicators: the traditional indicator of patents and an indicator of aggregated innovative activity. The principal hypothesis of this research argues that the ic shows a positive effect on economic growth in states that have developed advanced innovation systems, mainly based on productive structures with a technological base such as the northern border states, as well as in the states that are more highly integrated with the international market. However, for the states with immature innovation systems, innovative capacity will not be significant.

This document comprises four sections. The first section presents the theoretical review of economic growth via innovation, highlighting the case of developing economies. The methodology and data are presented in the second section. In this regard, a factorial model is applied to develop the indicator of aggregated innovative capacity. For the other indicator, a hypothesis test is performed using a dynamic panel data model. The results and conclusions are presented in the third and fourth sections, respectively.

Innovation and Growth

Among the first studies that analyzed the effect of technological change on growth are those by Abramovitz (1956), Solow (1957) and Denison (1962). They argue that the main growth factor was the technical change that generated, on average, 80% of the growth rate in U.S. production from the postwar period until the early 1950s. While these studies are illuminating, they lack an economic explanation of the technical change. Among their main deficiencies is the omission of the components of the technical change as well as the factors that constrain technological change and innovation in growth.

A second course of ideas that complement the theories of growth and innovation are presented by Arrow (1962) and Raping (1965). Arrow argues that technical change is found in labor productivity improvement through learning by doing. In this regard, the author presents evidence on the average growth in the productivity rate of the aeronautical industry, assuming that technical change occurs as a result of the repetition of work-related productive activities. In the case of Raping, this author provides similar evidence for the manufacture of cargo ships in the United States, with an average productivity growth of between 12% and 24% associated with technical change. This type of model based on learning by doing has been replicated for a wide range of countries and sectors, generally finding significant effects on productivity and growth (Sala-i-Martin, 2000).

Griliches (1979) conducted one of the first studies that developed a basic, ideageneration function, where the generation of ideas depends first on the innovative effort. In other words, it depends on the resources dedicated to innovation, particularly research and development spending (R&DS) and human capital, which represent the fundamental inputs for technological advancement and growth. In more recent works based on the endogenous dynamics of innovation, Coe and Helpman (1995), Luintel and Khan (2009) and Khan, Luintel and Theodoridis (2010) obtained similar results, accepting the hypothesis that innovation via indicators of intellectual property remains significant and positive for explaining growth.

One of the issues to be highlighted in all previous studies is the fact that they analyze advanced economies whose structure and context are completely different from those of developing economies. International evidence has revealed a substantial increase in the inputs for innovation, in terms of human capital or the r&ds, without a corresponding reduction in the technological gaps between leaders and laggards with the exception of a few success cases. Similarly, these activities did not have any substantial effect on growth (Rios & Castillo, 2015). In addition, it has been found that innovation with relevant economic and productive impacts tends to be concentrated in a few countries. For example, 70.2% of patent applications are made by member countries of the Organization for Economic Cooperation and Development (OECD). These are the same countries that allocate the most resources to the gide (Furman, Porter & Stern, 2002; Hassan & Tucci, 2010).

Given this concentration of innovation, studies have been conducted that attempt to reflect on their causes and that have presented ic functions and productivities. Furman, et al. (2002) present a function for idea production based on Romer (1990) and Porter's (1990) industry clusters within a national system of innovation of the type described by Nelson (1994). Among the results obtained is that all variables are significant and positive in the generation of patents.

Martinez and Baumert (2003) and Buesa, Heijs, Martinez and Baumert (2004), among others, recognized that there are regional differences as well as that innovation is more than just patents. They conducted multivariate analyses in which they present indices of regional innovation that enabled quantification of the ic of Spanish regions in a single index. These incorporate the regional and productive environments for innovation, the role of universities in innovation systems, and the roles of public administration and innovative companies (the latter being the most important factors in the index).

Archibugi and Coco (2004), also take up the ic idea and present an indicator for the development of technological capabilities, linking them to economic development. The indicator is composed of three subindices: 1) an indicator of the creation of new technology; 2) the national availability of technological infrastructure; and 3) the skills of the workforce. The index places greater weight on the available infrastructure and the human capital factor for the capacity to generate innovation and for the economic development of nations.

The works of Furman, et al. (2002), Martinez and Baumert (2003), Buesa, et al. (2004), and Archibugi and Coco (2004) accept the fact that the sole use of the patents indicator is misguided, since the institutional capacities of the countries are significantly different and, logically, the results will be different. These types of studies are more like evolving ideas since they revive the concept of the central economic agent and its productive relations (Lundvall, 1992, Nelson, 1994) as well as the effect of the regional innovation system as a determinant of economic outcomes (Cooke, 1992).

Several studies in Mexico have shown that research and development efforts are weak and that innovation capacities are limited (Aboites & Dutrenit, 2003; Cimoli, 2000; Cimoli, et al., 2005). Other research has identified the obstacles that hamper the exploitation of Mexico's scientific and technological potential (Bazdresch & Romo, 2005). At the sectoral level, Guzman and Zuniga (2004) study the effects of the adoption of property rights accords on innovative activity within the pharmaceutical industry. Guzman and Gomez (2010) have analyzed the technology gaps and the technological convergence and growth of the pharmaceutical sector in Mexico based on patents and r&ds, comparing it with industrialized countries.

In their studies on innovation and growth in Mexico, Gould and Gruben (1995) and Guzman, Lopez-Herrera and Venegas-Martinez (2008), apply the linear idea of innovation with cointegrated time series studies. They provide evidence that patents have positive effects on growth. Mungaray, Rios, Aguilar and Ramirez (2015) used an aggregate indicator of innovation and found similar effects for per capita gdp but not for the other technological indicators. In this same vein but with a regional approach, Hernandez and Diaz (2007), Mendoza, Torres and Polanco (2008), and Villarreal (2012) demonstrate that Mexican states with the greatest number of patents also have higher growth rates, thus generating a process of technological convergence.

Another group of studies by authors such as Valdivia (2007) and Torres-Preciado, Polanco-Gaytan and Tinoco-Zermeno (2014) find that innovation has positive effects on growth, but they identify differences in cluster-type zones for both income and innovation. Likewise, Rios-Flores and Ocegueda-Hernandez (2017) find that patents have significant effects when the impact of geographic location is important, which are the periods of least integration into international markets. Meanwhile, the aggregate indicator of innovative capacity has significant effects in all cases, although it decreases as economic integration progresses.

In general terms, the empirical evidence has supported the fact that the generation and dissemination of innovations have positive impacts on growth and that their diffusion is limited by geography. In developing economies where technological capabilities and the institutional system are weak, the incentive to obtain patents is also weak, and many innovations generated are not registered due to the fear of illegal copying. As such, the intellectual property indicators do not reflect the ic of these laggard regions.

Methodology and Data Specification of the Empirical Model

Studies such as those by Coe and Helpman (1995), Luintel and Khan (2009) and Khan, et al. (2010), provide evidence that patents and r&ds are positively related to increases in productivity and growth in developed countries. The standard empirical specification of this type of model is the following:

[expresion matematica irreproducible] (1)

where i indicates die dimension crossed and i represents time; [[alfa].sub.it] captures die contemporary variation of the fixed effects; y represents any income indicator; X is a vector of variables that reflect some structural question; and Z represents any measure of innovation. The symbols [beta]'s represent the elasticities of each variable and e a stochastic error. This function serves to prove the effect of innovation on income, under the premise that to grow there must be innovation, and not that to be innovative there must first be growth. Although innovation clearly features some random components, it is mainly the result of scientific efforts based on the general framework of the innovation system.

Recognizing this endogenous effect of innovation and income, a logarithmic panel data model will be developed for Mexico's 32 states (for the 1998-2013 period) to test the hypothesis empirically using the following specifications:

[expresion matematica irreproducible] (2)

[mathematical expression not reproducible] (3)

[mathematical expression not reproducible] (4)

[mathematical expression not reproducible] (5)

where i denotes Mexico's states, and t represents time. Different variants are used for innovation, or the main variable of the model, such as pat representing patent applications and ic representing innovative capacity. The GDP variable represents the per capita gross domestic product, while D represents the dummy variable of the geographic region or the degree of integration of the j entities with international markets. In equations (3) and (5), the same variables are presented for each specific group through an interaction effect. In equations (2), (3), (4) and (5), present income depends on the dynamics of income in previous periods in the form of a stable economic cycle whose change depends exclusively on the effect of innovation.

A panel data set is a group of temporal observations on a sample of individual units. Namely, a set of individuals is observed at different points in time. Among its main advantages are that it controls for both transversal and temporal unobservable heterogeneity (Arellano & Bover, 1990, Hsiao, 2003), which can be generally formulated as:

[expresion matematica irreproducible]

where N is the number of individuals, and T is the number of periods. A limitation of this type of analysis is the difficulty in knowing if the estimated coefficients truly reflect the impact of xt or if they are instead due to unobservable differences between the individuals who are correlated with xi. This problem is associated with the disturbance (error) term, which can be a compound term that could have a correlation with the explanatory variables. The general panel data model does not present any restriction regarding unobservable heterogeneity; therefore, it is necessary to model each of the different effects.

In the literature on panel data, two alternative control models are offered: the fixedeffect model and the random-effect model. In both models, control of unobservable effects is conducted by estimating the errors. In the fixed-effect model, it is a simple but differentiated error [[epsilon].sub.it] + [n.sub.i], where [n.sub.i] is a set of N additional coefficients that can be estimated by a [beta] ft estimator. In the random-effect model, it is assumed that [n.sub.i] is an unobservable random variable independent of [x.sub.it] that takes the form ([[epsilon].sub.it] + [n.sub.i]) as a compound error term. If [n.sub.i] is correlated with [x.sub.i], fixed effects are indicated. However, if [n.sub.i] is not correlated with [x.sub.it], random effects are chosen (Arellano & Bover, 1990).

An additional model that has become relevant is the dynamic panel data model, given that it is common to find panels with extensive temporal dimensions. The natural extension of time series procedures to the panels has serious limitations because in the data analysis of conventional panels, it is assumed that the size of the temporal dimension T is small, while the number of transversal observations is large.

A major problem within dynamic models is the fact that the resulting estimators are very sensitive to initial conditions. Normally, the start of the sample period does not coincide with the beginning of the dynamic process, and in any case, only a priori information about the initial conditions is available (Anderson & Hsiao, 1981). In this case, instrumental variables (iv) are used by applying the generalized method of moments (gmm) for the purpose of correcting the serial autocorrelation and the biases by specification, according to the structure developed by Arellano & Bond (1991).

Arellano and Bond's dynamic model requires finding an instrument that is incorrectly correlated with yet correctly correlated with [y.sub.ii-1] and [x.sub.it]. Normally, the selected instrument is the value of the lagged explanatory variables, although it is possible to replace it with some other variable that meets these conditions (Arellano & Bover, 1990). The GMM estimator is a special case of estimation by instrumental variables in which the system of equations and instrument is overidentified. Since the estimation of a parameter shows more than one moment constraint, the GMM estimator is a linear combination of all the estimators obtained together with all of the conditions, weighted by the precision of each estimator. In turn, this precision will depend on the degree of correlation among the instrument, the exogenous variable and the disturbance.

GMM estimators that use delays as instruments and that assume a random disturbance are inconsistent if the errors are correlated; therefore, it is important to contrast the degree of identification of the model. To the extent that an estimator shares overidentified restrictions, they can be contrasted using a Sargan statistic and AR2 (Baum, 2006). If the choice of instruments is optimal, then the model can be identified exactly and offers a unique solution for each estimator. The Hausman test (1978) is performed to select the specification.

Indicators

The complexity of the technology and its diverse origins have caused the use of diverse research methodologies in the economic literature, along with a wide selection of variables and the combination of different data sets that attempt to represent innovation (Archibugi & Coco, 2004). In this sense, a large number of variables are presented that need to be simplified to facilitate the exploration of the object of study. For example, in a series of studies conducted by Spain's Institute of Industrial and Financial Analysis (Instituto de Analisis Industrial y Financiero de Espana), using the multivariate analysis tools, they have tried to produce a typology of the Spanish regional innovation systems to then establish the determining factors of ic in the regions (Martinez & Baumert, 2003).

There are conflicting views about when a patent represents an innovation or becomes a reflection of technological capabilities, particularly in regions with inefficient institutional systems. However, it remains the principal variable in most studies on innovation. Innovative activity includes relevant aspects besides intellectual property. However, there are several measures of technological activity that enable an understanding of the innovation process and its relationship with the productive world, such as r&ds statistics and supporting indicators such as scientific and technological infrastructure (Sanchez, Garcia & Mendoza, 2014; Valdez-Lafarga & Leon-Balderrama, 2015). Table 1 shows the variables used for the factorial model (fm) taken from the National Council of Science and Technology (Consejo Nacional de Ciencia y Tecnologia), the National Institute of Statistics and Geography (Instituto Nacional de Estadistica y Geografia), the National Population Council (Consejo Nacional de Poblacion), the Scientific and Technological Advisory Forum (Foro Consultivo Cientifico y Tecnologico), the Federal Telecommunications Commission (Comision Federal de Telecomunicaciones), the National Polytechnic Institute (Instituto Politecnico Nacional), the National Autonomous University of Mexico (Universidad Nacional Autonoma de Mexico) and the National Institute of Forestry, Agriculture and Fisheries Research (Instituto Nacional de Investigaciones Forestales, Agricolas y Pesqueras), with the objective of capturing regional ic without exclusively using patent statistics.

Although economic logic indicates that entities with more intellectual property, human capital, or scientific and technological infrastructure have a greater capacity to innovate and, therefore, a higher level of income, these indicators are not necessarily evident in local areas. On one hand, the public sector can distort economic decisions based on political criteria; on the other hand, companies make strategic decisions about their locations based on public infrastructure and factor costs. Therefore, it is necessary to consider a variety of measurements of the same phenomenon given the diversity of distortions that arise in local areas.

One of the main statistical tools within the group of multivariate analysis techniques is the FM, which is a data reduction technique that consists of forming homogeneous groups of variables that correlate with each other and give rise to a series of factors, whose key feature is that they are independent of each other (Hair, Anderson, Tatham & Black, 1999). The purpose is to find the minimum number of dimensions from which the maximum research information generated is explained, simplifying the multiple and complex relationships between a set of observable variables [X.sub.1], [X.sub.2],... [X.sub.p]. In particular, it is about finding K<P common factors [F.sub.1], [F.sub.2],... [F.sub.k] that adequately explain the original observable variables without presenting a priori judgments about the weight that each variable must have in the factors as well as the weight of each factor in the IC (Perez, 2006).

To corroborate the relevance of the FM, the KMO and Bartlett tests were executed, which allowed the database to be refined down to nine representative variables. The suitability of the sample permits the application of the model since the KMO is 0.699 and the Bartlett test has a significance of less than 0.05. The fm manages to explain 81.8% of the total indicator variance, which represents a relatively good indicator. The results of the rotated component matrix provide information on the location of each of the nine variables used to establish the grouping and weights (Table 2). Furthermore, the matrix of coefficients enables the weighting and standardization of the variables to the factors.

The final step of the fm is to estimate the scores of the variables in the components. Each factor is weighted by the scores of each variable. The scores are multiplied by each variable for each individual and moment. The values of the factors are obtained with this weighting. For the ic calculation, each of the factors is reweighted by its factor load, as follows:

[IC.su.it] = [K.suma de (k=1)] [F.sub.kit][[beta].sub.k]

where IC indicates the innovative capacity of the individual i in moment t, F is factor k that represents the rescaled values of the original variables, and [beta] is the load for each factor given its total explanatory value, which is rescaled so that [expresion matematica irreproducible] In this sense, the ic is a variable that encompasses the productivity of the state innovation systems, which is used as a basis in the panel econometric analysis. Table 3 presents the summary data and groupings for patent applications, the ic obtained from the fm, and the per capita gdp by state.

For the regional innovation indicators, the North has the highest ic, while the South- Central region has the highest patent application indicator. Regarding per capita gdp, the South has the highest income, due to the impact of Campeche and oil revenues. Regarding international market integration, all of the Northern states have a high level of integration, as do Baja California Sur, the Federal District and the state of Mexico. On the other hand, all of the states in the southern region have low levels of integration. Therefore, the information in Table 3 reveals that the states with the highest income (except Campeche) are also those with the highest IC. However, this not necessarily true of their patent applications. Figure 2 illustrates the distribution of the innovation and income indicators in Table 3.

Although the patents indicator and the ic are to a certain extent consistent with the entities in the extreme areas and the geographical location, there are specific differences between the two that should be highlighted. Figure 2 shows the kernel densities for both indicators in order to compare their respective sample settings. For patents, there is a bias in the sense that the densest part of the sample is not in the average but rather in the regions with low numbers of patent applications and in only a few regions with high numbers of patent applications. The bias is smaller for IC, but the same distortion persists. Therefore, the state distribution of technological activity is markedly different.

Results

In the previous section, signs of a positive effect of innovation on income derived from both patents and ic were presented. To corroborate the evidence in this chapter, the econometric specifications (2), (3), (4) and (5) were estimated with fixed effects and the Arellano and Bond specification. In all cases, the specification test was oriented to the Arellano and Bond model, which aligns with dynamic model theory. Table 4 shows the estimates for functions (2) and (4) expressed in logarithms.

Generally (Table 4), the effect of ic is positive and significant for growth with approximately 3% in both the fixed effects model and the dynamic model; this result is corroborated by the Sargan and ar (2) tests. Up to this point, the aggregate indicator is more consistent than patents. Although the patents granted represent, to a certain extent, tangible innovations in production activities, they are not an efficient indicator for capturing the technological dynamics of a region when institutional weaknesses in the protection of property rights exist. Since economic and technological heterogeneity within Mexico is acute, the effects of innovation on economic growth can be differentiated depending on the structural conditions and context of the entity studied.

Regarding the degree of integration with international markets, states with a high level of integration are those with the highest ic, on average; however, this is not the case for patents. This group is where the greatest differences are found in terms of innovation indicators, particularly in the states of Mexico, Chihuahua, Tamaulipas, Sonora and Baja California. In the other groups, the standardized indicator for patents and ic are similar. Among states with a low level of internationalization, Puebla and Quintana Roo present differentiated indicators, while Aguascalientes and Jalisco are states with a moderate level of internationalization. Table 5 presents the estimates with specifications (3) and (5) for the fixed effects model in logarithmic terms.

The estimates with the fixed effects model in the specification with patents produced only significant effects of 4.14% in the South region, while no significant effects were found for any of the cases in the specification with international market integration. Regarding the specifications with ic, all were positive and significant, which coincides with most of the empirical evidence for Mexico. Among the interesting group results is that the effect of innovation is greater among the northern border states as well as among states that are more highly integrated with international markets. However, the effect diminishes as states get further from the U.S. border and when the state interacts less with foreign countries. These results reveal a certain logic because the northern border states have a relative advantage derived from their commercial integration with the largest consumer in the world since their productive structure is integrated with that of the neighboring country to a certain extent. Likewise, there are entities not located in the North that display a process of commercial integration with foreign countries, such as Baja California Sur, the state of Mexico and Mexico City.

Although the results presented in Table 5 are statistically significant, the regression reveals an endogeneity problem among the explanatory variables caused by the lagged endogenous variable, which causes inconsistencies in the estimates. Table 6 presents the estimates for the regional groups and the two innovation indicators using the Arellano and Bond (1991) model in logarithmic terms. In this regard, all estimates are supported by the Sargan and ar(2) estimators of overidentification; thus, the estimators are robust. Regarding patent applications, the results of Tables 4 and 5 are consistent for all specifications since in no case do they have significant effects. Regarding ic, the results are differentiated since only some of the groupings were relevant.

In the case of globalization or international market integration, only states with a high level of globalization have a positive estimator of 5.75%. In terms of region, only the North presents a positive estimator of 7.55%, while no significant effects were found in the remaining groups. A clear difference between the states with higher international market integration is that as national technological leaders, they have science-related industries that enable the development of new products, which perform extraordinarily well due to their greater price elasticity in the market, which allows them to maintain an expanding economy.

Regarding the states that could be labeled as being dedicated to domestic markets and as technology laggards, the situation is significantly different. On one hand, they mostly consist of low- and medium-technology industries, which constrains the technology dynamic because they lack the capacity to absorb emerging technologies. On the other hand, they are relatively distant from international markets, which limits their local productive dynamics and therefore diminishes their relative competitiveness.

These results are consistent with those found by Valdivia (2007), Torres- Preciado, et al. (2014), and Rios-Flores and Ocegueda-Hernandez (2017). On one hand, differentiated groups of innovation and income are found; on the other hand, the states that are more highly integrated with international markets and located on the northern border have higher levels of technology in their productive structures. This result is consistent with the positive effects on growth of the strategic sectors established by Ocegueda, et al. (2009).

When comparing Tables 4, 5 and 6, in a similar manner to Nelson and Winter (1982) and to a variety of evolution-oriented authors, the structural and contextual differences determine the effect of innovation on growth. The general idea is that innovation must go through a delayed process of productive and market assimilation that enables widespread dissemination, going from the microeconomic company level to the macroeconomic industry level and throughout the entire value chain.

Conclusions

In the case of the effects of innovation on income, only the ic indicator showed positive and significant effects of 3% for the overall average, with a 7.5% effect for the North region and a 5.7% effect for states that are highly integrated with international markets. This evidence enables us to accept the hypothesis that ic has a statistically significant and positive effect on economic growth for states that have developed solid innovation systems, while it is not significant in states with weak innovation systems.

When comparing the effects of the innovation variables, the patents did not demonstrate any statistical significance in the specifications and models presented, while ic showed significant effects in most of the models. Although economic logic indicates that entities with greater intellectual property also have a greater innovation capacity, these indicators are not linear in local environments such as Mexico. On one hand, the public sector can distort the economic and technological decisions of companies by targeting spending, and on the other hand, companies make strategic decisions about their modes of intellectual property and where these are registered. In this sense, patent indicators are limited in their capacity for representing the level of technology of an individual or place.

When highlighting the contextual differences, we find that the effect of innovation capacity is significant only in northern border states and in those with greater international market integration, whose common characteristic is specifically their foreign exposure and dependence. The groups of states with significant ic effects are those with a large number of technology-based companies. These companies collaborate in technological development and innovation processes with other companies that comprise the productive chain and are characterized by a higher degree of business dynamism, internal flexibility and ability to respond to the changing circumstances of the international environment, particularly those pertaining to the United States, due to the cross-border dynamics of capital and people flows as well as to interregional productive complementarity.

In general terms, the creation of knowledge and the technological structure are necessary conditions for generating innovation and industrial competitiveness, but they are not enough. At the company level, a scientific discovery or a creative idea becomes an innovation when it is used to solve a specific problem. At the regional level, technological change occurs when a company's improvements are generalized throughout the region. On average, companies operating in solid economic environments have greater technological and learning capabilities than those in weak economic environments. In this sense, these companies can support regional growth due to the mobility of factors and capital.

https://doi.org/10.21670/ref.1813013

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Jesus Armando Rios-Flores

Mexican. Doctorate in economics from the Universidad Autonoma de Baja California and Professor in the Department of Social and Political Sciences of the same institution. Research areas: innovation, competitiveness and economic growth. Recent publications: Rios-Flores, J. A. & Ocegueda-Hernandez, J. M. (2017). Capacidad innovadora y crecimiento regional en Mexico: un enfoque espacial, Economia, Sociedad y Territorio, xw(55), 743-776; Rios-Flores, J. A., Castillo-Arce, M. L. & Alonso, R. (2017). Efectos de la capacidad de absorcion tecnologica en el crecimiento economico, Revista Iberoamericana de Ciencia, Tecnologia y Sociedad, 12(34); Lopez-Leyva, S., Castillo-Arce, M. L & Rios-Flores, J. A. (2017). Knowledge Activities in Mexican States: a Territorial Vision. In Zbuchea, Bratianu & Pinzaru (Eds.), Economic Behavior: Economy, Business & People (pp.48-84). London: Cambridge Scholars Publishing.

Juan Manuel Ocegueda-Hernandez

Mexican. Doctorate in Economics from the Universidad Nacional Autonoma de Mexico. Professor in the Department of Economics and International Relations of the Universidad Autonoma de Baja California and President of the same institution. Research areas: economic growth, regional development and higher education. Recent publications: Ocegueda, J. M., Miramontes, M. A. & Mungaray, A. (2017). Analisis comparado de la cobertura de la educacion superior en Corea del Sur y Chile: Una reflexion para Mexico, Perfiles Educativos, 39(155); Llamas, R., Castillo, R. & Ocegueda, J. M. (2017). Labor Informality in Mexico: An Indicator Analysis. In Polese, Williams, Horodnic y Bejakovic (Eds.). The Informal Economy in Global Perspective. Varieties of Governance (pp. 195-211). Palgrave-MacMillan.

Jesus Armando Rios-Flores (a) * (iD) https://orcid.org/0000-0003-3569-018X

Juan Manuel Ocegueda Hernandez (b) (iD) https://orcid.org/0000-0002-5454-4498

(a) Universidad Autonoma de Baja California, Facultad de Ciencias Sociales y Politicas, Mexicali, Baja California, Mexico, e-mail: jrios89@uabc.edu.mx

(b) Universidad Autonoma de Baja California, Facultad de Economia y Relaciones Internacionales, Tijuana, Baja California, Mexico, e-mail: jmocegueda@uabc.edu.mx

Received on June 13, 2017.

Accepted on May 24, 2018.

Published on July 16, 2018.

ORIGINAL ARTICLE LANGUAGE: SPANISH.

* Author for correspondence: Jesus Armando Rios-Flores, e-mail: jrios89@uabc.edu.mx

Leyenda: Figure 1: Level of income and innovation by Mexican state (1998-2013)

Leyenda: Figure 2: Patent applications and innovative capacity (1998-2013)
Table 1: Variables subject to the FM

Variable                 Key     Measure

                         PH      Patent applications for every 10 000
                                 inhabitants.

Intellectual property    PCI     Patent applications for centers with
intensity                        some research and development activity.

                         PUE     Patent applications for each high-tech
                                 economic unit.

Economic intensity       VT      Gross census aggregate value for people
from innovation                  employed in high-tech industries.

                         VH      Gross census aggregate value per
                                 inhabitant.

                         IH      SNI members for every 10 000
                                 inhabitants.

Human capital            ICI     SNi members by research center.

                         EH      People employed in high-tech industries
                                 per 1 000 inhabitants.

Investment               FCFH    Gross fixed capital investment in high
                                 technology industries, per capita.

                         FBCFT   Gross fixed capital investment per
                                 high-tech industry worker

Business                 UE      Economic units in high-tech industries
environment                      for every 10 000 inhabitants.

                         EC      Companies with iso -9000 certification
                                 for every 10 000 inhabitants.

                         TEL     Number of landlines per 100
            inhabitants.

Scientific and           CEL     Number of mobile phone contracts per
technology                       100 inhabitants.
infrastructure
                         CIH     Research centers for every 10 000
                                 inhabitants.

                         ATH     Total assets in high technology
                                 industries per capita.

                         art     Total assets per high-tech industry
                                 worker.

Source: the authors.

Table 2: Results of the factorial model for the calculation
of innovative capacity

                                          Factors
Characteristics                    1              2              3

                               VH (.914)      PH (.819)      EC (.745)
Variables                      ARA (.692)     UE (.851)      TEL (.873)
                               EH (.760)      ICI (.823)     CEL (.885)
Total explained variance         30.63%         28.16%         23.01%
Eigenvalue                       4.494          1.675          1.194

Total standardized variance      37.44%         34.42%         28.13%

Source: The authors using the SPSS statistical software package. The
figures in parentheses represent the portion extracted from each
variable.

Table 3: Data summary and groupings

                              Patent         Innovative
Region                        applications   capacity

Baja California               0.022          11.028
Chihuahua                     0.039          13.318
Coahuila                      0.062          9.954
Nuevo Leon                    0.138          12.060
Sonora                        0.024          7.059
Tamaulipas                    0.022          9.531
Average: North                0.051          10.491
Baja California Sur           0.042          8.644
Durango                       0.014          2.728
San Luis Potosi               0.023          4.600
Sinaloa                       0.021          3.664
Zacatecas                     0.007          2.295
Average: North-Central        0.021          4.386
Aguascalientes                0.042          8.644
Colima                        0.058          4.328
Distrito Federal              0.210          14.770
Estado de Mexico              0.042          8.052
Guanajuato                    0.031          5.424
Hidalgo                       0.015          3.992
Jalisco                       0.069          7.993
Michoacan                     0.012          3.177
Morelos                       0.085          8.484
Nayarit                       0.007          2.289
Puebla                        0.027          7.635
Queretaro                     0.111          8.588
Tlaxcala                      0.012          3.534
Veracruz                      0.010          3.944
Average: South-Central        0.052          6.489
Campeche                      0.016          2.280
Chiapas                       0.004          1.672
Guerrero                      0.003          2.032
Oaxaca                        0.007          1.345
Quintana Roo                  0.014          5.619
Tabasco                       0.015          3.149
Yucatan                       0.027          3.659
Average: South                0.012          3.292
Average: National             0.038          5.987
Maximum                       0.264          21.522
Minimum                       0.000          0.334
Standard deviation            0.048          4.385

                              Per capita     International
Region                        GDP            market
                              (logarithms)   integration

Baja California               11.626         High
Chihuahua                     11.345         High
Coahuila                      11.709         High
Nuevo Leon                    11.913         High
Sonora                        11.601         High
Tamaulipas                    11.545         High
Average: North                11.623         --
Baja California Sur           11.716         High
Durango                       11.261         Medium
San Luis Potosi               11.157         Medium
Sinaloa                       11.304         Low
Zacatecas                     10.855         Low
Average: North-Central        11.258         --
Aguascalientes                11.362         Medium
Colima                        11.517         Low
Distrito Federal              12.144         High
Estado de Mexico              11.069         High
Guanajuato                    11.114         Low
Hidalgo                       11.090         Low
Jalisco                       11.404         Medium
Michoacan                     10.927         Medium
Morelos                       11.151         Medium
Nayarit                       11.092         Low
Puebla                        10.918         Low
Queretaro                     11.493         Medium
Tlaxcala                      10.896         Low
Veracruz                      11.145         Low
Average: South-Central        11.237         --
Campeche                      13.903         Low
Chiapas                       10.686         Low
Guerrero                      10.749         Low
Oaxaca                        10.704         Low
Quintana Roo                  11.745         Low
Tabasco                       11.887         Low
Yucatan                       11.225         Low
Average: South                11.557         --
Average: National             11.383         --
Maximum                       13.992         --
Minimum                       10.619         --
Standard deviation            0.590          --

Source: Created by the authors with information from Inegi and
Tables 1 and 2. The regional grouping is from Aroca, Bosch and
Maloney (2005) and the international market integration is from
Mejia and Erquizio (2012).

Table 4: General estimates of income and innovation

Dependent         Specification    Specification    Specification
variable:              (2)              (2)              (4)
Per capita GDP    Fixed effects    Arellano-Bond    Fixed effects

GDP (-1)            .9602 *         .9139 *         .8464 *

Patents (-2)         (.0199)          (.0251)          (.0271)
                      -.0022          .0050
                     (.0732)          (.0135)
                                                       .0329*

ic (-2)                                                (.0056)
Sargan                                .7060
AR (2)                                .7880

Dependent         Specification
variable:              (4)
Per capita GDP    Arellano-Bond

GDP (-1)            .8024 *

Patents (-2)         (.0326)

                     .0307 *

ic (-2)              (.0082)
Sargan               .6490
AR (2)               .9230

Source: The authors. The standard errors are presented in
parentheses, while * represents significance at 5%. For the Sargan
and AR (2) statistics, the probabilities are presented with the
ATH, UE, EH and EC instruments. The estimates exclude Campeche.

Table 5: Estimates by regional group for income and innovation.
Panel with fixed effects

Dependent         Region
variable:
Per capita GDP    Specification (3)   Specification (5)

GDP (-1)              .9605 *            .8036 *
                       (.0200)             (.0311)

North (-2)             -.0042             .0668 *
                       (.0159)             (.0166)

North-Central          -.0091             .0500 *
(-2)                   (.0139)             (.0104)

South-Central          .0066             .0454 *
(-2)                   (.0112)             (.0090)

South (-2)            .0414 *            .0252 *
                       (.0235)             (.0066)
High (-2)

Medium (-2)

Low (-2)

Dependent         International market integration
variable:
Per capita GDP    Specification (3)   Specification (5)

GDP (-1)              .9608 *            .8248 *
                       (.0200)             (.0284)

North (-2)

North-Central
(-2)

South-Central
(-2)

South (-2)

High (-2)              -.0065             .0624 *
                       (.0115)             (.0130)
Medium (-2)            -.0004             .0337 *
                       (.0156)             (.0076)
Low (-2)               .0012             .0310 *
                       (.0118)             (.0066)

Source: The authors. The standard errors are in parentheses,
while * represents significance at 5%. The
estimates exclude Campeche.

Table 6: Estimates by regional group for income and innovation.
Dynamic panel

Dependent          Region
variable:
Per capita GDP     Specification (3)   Specification (5)

GDP (-1)               .9089 *            .7458 *
                        (.0345)             (.0458)

North (-2)              -.0114             .0755**
                        (.0257)             (.0459)

North-Central           .0086              .0457
(-2)                    (.0238)             (.0428)

South-Central           .0006              .0341
(-2)                    (.0204)             (.0289)

South (-2)              .0316              .0281
                        (.0246)             (.0218)
High (-2)

Medium (-2)

Low (-2)

Sargan                  .7070              .4260

AR (2)                  .7510              .9550

Dependent          International market integration
variable:
Per capita GDP     Specification (3)   Specification (5)

GDP (-1)               .9164 *            .7683 *
                        (.0267)             (.0474)

North (-2)

North-Central
(-2)

South-Central
(-2)

South (-2)

High (-2)               .0018             .0575*
                        (.0230)             (.0285)

Medium (-2)             .0023              .0376
                        (.0324)             (.0340)

Low (-2)                .0089              .0331
                        (.0262)             (.0237)

Sargan                  .6770              .5390

AR (2)                  .7630              .9970

Source: The authors. The standard errors are presented in
parentheses, while * represents significance at 5%. For the Sargan
and AR (2) statistics, the probabilities are presented with the
ATH, UE, EH and EC instruments. The estimates exclude Campeche.
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