OUTSOURCING BEHAVIOUR: THE ROLE OF SUNK COSTS AND FIRM AND INDUSTRY CHARACTERISTICS Autoras: Carmen Díaz Mora Angela Triguero Cano University of Castilla-La Mancha P. T. N.o 10/08 Financial support by The Institute for Fiscal Studies (Spanish Ministry of Economy and Finance) is gratefully acknowledged. N.B.: Las opiniones expresadas en este trabajo son de la exclusiva responsabilidad de las autoras, pudiendo no coincidir con las del Instituto de Estudios Fiscales. Desde el año 1998, la colección de Papeles de Trabajo del Instituto de Estudios Fiscales está disponible en versión electrónica, en la dirección: >http://www.minhac.es/ief/principal.htm. Edita: Instituto de Estudios Fiscales N.I.P.O.: 602-08-004-3 I.S.S.N.: 1578-0252 Depósito Legal: M-23772-2001 INDEX 1. INTRODUCTION 2. DATA AND DESCRIPTIVE ANALYSIS 3. LITERATURE BACKGROUND 4. THE MODEL OF OUTSOURCING DETERMINANTS 5. ECONOMETRIC RESULTS 6. CONCLUSIONS REFERENCES SÍNTESIS. Principales implicaciones —3— ABSTRACT This paper studies the determinants of outsourcing intensity using firm-level panel data for Spanish manufacturing industries. Outsourcing refers to contract out the manufacturing of custom-made finished products or parts and components. Following the theoretical framework of Grossman and Helpman (2002), we take into account the presence of sunk entry costs as well as other firm, industry and market characteristics that influence the level of outsourcing. Moreover, we consider firstly that the company decides to outsourcing or not, and once outsourcing has been the chosen option, the firm establishes the volume of production to be subcontracted. Although the problem of sample selection is typically ignored in panel data settings, we use the Heckman procedure to eliminate the effect of selection bias from the estimated results. Our results show that some variables influencing the outsourcing intensity are different from those that affect decision of outsourcing. JEL classification: D21, L23, L60. Keywords: Outsourcing, Firm-level panel data, Determinants, Selection bias, Persistence. —5— Instituto de Estudios Fiscales 1. INTRODUCTION In the current economic climate where companies operate more and more in global markets, one of the priorities for them is to gain efficiency. Outsourcing has emerged as a necessary strategy to enhance firm competitiveness and performance. Outsourcing is when a company contracts with a third party to carry out a function that were previously performed internally. In the manufacturing area, functions capable of being outsourced include technology systems, component manufacturing, product assembly, training and testing. The term outsourcing refers to external to the boundaries of the company, that is, it is opposed to vertically integrated production. Furthermore, as Grossman and Helpman (2005) note “outsourcing means more than just the purchases of raw materials and standardized intermediate goods” because a specific characteristic of outsourcing is that the relationship between the firm which contracts out production (main contractor) and external provider (subcontractor) is long-term and it usually implies sharing information about the product. Therefore, closer relationships between main contractor and subcontractor/supplier are developed1. Nowadays, many firms are making the decision to outsource. The increasing competition and complexity of production processes have led to firms to leave the non-core activities providing them through outsourcing. Moreover, the progress in trade liberalization, the reducing of transport costs and the IT revolution have encouraged outsourcing activities. Outsourcing, which may be of domestic or international dimension, has made itself accessible to many companies in today’s global marketplace. This study is an empirical contribution to the literature on factors that determine both the propensity and the intensity of outsourcing using firm-level panel data. The importance of the phenomenon is well understood, but much less is known about firm level determinants to contract out: why do some firms decide subcontracting and why the subcontracting intensity is higher in some firms than in others. As far as authors know, the existing empirical studies neither offer a wide consensus about the determinants nor study in a simultaneously way what variables determines who contract out and how much production is outsourced. By one hand, empirical research about the determinants of outsourcing intensity is done in Tomiura (2005, 2006) for Japanese manufacturing industry, Görg and Hanley (2004) for Irish electronics 1 Outsourcing and subcontracting are considered to be synonymous. —7— industry, Girma and Görg (2004) for some UK manufacturing industries and Diaz-Mora (2007) for Spanish manufacturing industries2. By other hand, works such as Kimura (2001), Holl (2007) and Diaz-Mora and Triguero (2007) study which factors affect the firm’s likelihood to outsource using Japanese data, in the first case, and Spanish data in the two others. In this work we consider, firstly, that the company decides to outsourcing or not and, once outsourcing has been the chosen option, the firm establishes the volume of production to be subcontracted. Although the problem of sample selection is typically ignored in panel data settings, we take into account it in this paper. It requires using the Heckman procedure to eliminate the effect of selection bias from the estimated results3. So, our work tries to identify which factors influence the outsourcing intensity using a panel of Spanish manufacturing firms and considering prior decision. Based on the theoretical approach of Grossman and Helpman (2002), the presence of sunk entry costs and diverse firm, industry and market characteristics are contemplated in our model. The organization of this paper is as follows. Section 1 is an introduction. Section 2 presents data and a descriptive analysis of subcontracting intensity. A simple conceptual framework for the analysis using the existing literature is provided in section 3. Section 4 presents the model and justifies the econometrical technique used in this work. Section 5 shows the main empirical findings. Finally, section 6 concludes. 2. DATA AND DESCRIPTIVE ANALYSIS Our empirical work is based on establishment level data between 1991 and 2002. Although outsourcing is generally difficult to measure, we have information on which parts of the production stage have been contracted out. Specifically, our measure of outsourcing includes the manufacturing of custom­ made finished products or parts and components which have been contracted out to third parties. It is important to emphasize that the processing of the segmented production is carried out following the main contractor’s specifications. That is, purchases of standardized intermediate inputs through a usual marketing channel are not regarded as outsourcing in our measure. Outsourcing involves transferring a production stage to an outside supplier, which means a high degree of two-way information exchange, coordination and trust between the main contractor and the subcontractor firm. Such a 2 This last work uses industry-level instead of firm-level data. Tomiura (2005) also introduces a selection equation as the first-stage in Heckman’s two­ step estimation procedure. But he uses cross-section data and the persistence in outsourcing behaviour is not taken into account. 3 —8— Instituto de Estudios Fiscales relationship between economic entities implicated in outsourcing is qualitatively different from traditional relationships between buyer and seller. So, our work uses an adjusted measure of outsourcing. All the data used for this paper are from the Survey of Business Strategy (Encuesta sobre Estrategias Empresariales in Spanish, ESEE hereafter). It provides panel data on many relevant firm characteristics such as activity and manufacturing processes, customers and suppliers, costs and prices, markets, technological activities, foreign trade and employment from 1990 onward. The ESEE is a representative sample of Spanish manufacturing firms with 10 or more employees classified by two firm size categories. The selection is carried out combining exhaustiveness in the case of firms which have over 200 employees and random sampling criteria for firms which employ between 10 and 200 workers. The Survey covered 2,188 firms in 1990. Efforts to avoid the reduction of the firms' collaboration have been made in order to maintain the representativeness with regard to the population of reference. As well as efforts to include each year into the sample all the newly incorporated firms which employ over 200 workers, and a randomly selected sample which represents around 5% of the newly incorporated firms which have between 10 and 200 employees4. In relation to outsourcing, surveyed firms give information, firstly, about if they outsource production or not and, secondly, about the value of the contracted out production. We select exclusively those firms that respond the questions about outsourcing. Afterwards, we focus only on outsourcing firms to analyse the intensity of subcontracting from a sectoral and time perspective. Outsourcing intensity is computed as the ratio of production activities contracted out to other firms to the value of the total intermediate purchases. Table 1 displays basic descriptive statistics on the outsourcing behaviour of Spanish manufacturing firms by firm size. Our results reveal that less than half of Spanish manufacturing firms are engaged in outsourcing strategy. The percentage of outsourcers has even decreased from the beginning of the nineties. The average subcontracting intensity is around 20 per cent of intermediate consumption for those firms that decide to outsource production in 2002. This average level of outsourcing has remained quite stable over the last years, hardly two percentage points higher than at the beginning of the 90’s. With regard to the firm size, our data show a positive correlation between firm size and the probability to be outsourcer but negative between firm size and subcontracting intensity. Outsourcers tend to be larger than non-outsourcers. However, the smaller the firm, the more intensive is the subcontracting strategy. That is, the influence of firm size on subcontracting behaviour needs to be taken into account. 4 See Fariñas and Jaumandreu (1999) and www.funep.es for further details about ESEE. —9— Table 1 OUTSOURCING BEHAVIOUR BY FIRM-SIZE, 1991-2002 Total number of firms Percentage share of outsourcing firms 1991 2002 1991 2002 1991 2002 1.992 1.684 47.5 42.9 17.9 20.4 Small (less than 25 employees) 1.664 1.486 36.4 32.7 21.5 23.1 Medium (between 25 and 200 employees) 1 1.579 1.663 45.8 41.2 21.3 21.1 Large (more than 200 employees) 1 1.749 1.535 58.6 54.4 13.5 18.1 All manufacturing firms Average Outsourcing intensity (in outsourcing firms) Source: ESEE. The cross-industry variability of subcontracting behaviour is very high. Sectors such as drinks, textiles and clothing, editing and printing, machinery and other transport material subcontract around 25 per cent of intermediate inputs at the end of the period, which is a percentage above the industry average (table 2). Meat products, other food and tobacco and paper are the industries with lower share of subcontracted production. So, outsourcing behaviour seems to be clearly affected by industry-specific factors. Nevertheless, sectors using more intensively outsourcing strategy are not always coincident with those with higher propensity to outsource. Hence, we can infer that factors determining subcontracting decision and subcontracting intensity could differ. A correlation chart shows that subcontracting propensity and intensity are not closely related from a sectoral perspective (chart 1). There are branches such as rubber and plastics, electrical equipment and other manufacturing industries where subcontracting is a widespread practice among firms whereas the outsourcing intensity is low. On the contrary side, drink industry is the second branch with higher subcontracting intensity but hardly 20 per cent of firms are engaged in subcontracting production during the period 1991-2002. — 10 — Instituto de Estudios Fiscales Table 2 OUTSOURCING BEHAVIOUR BY MANUFACTURING INDUSTRY, 1991-2002 Percentage share of outsourcing firms Meat products Other food and tobacco Drinks Textiles and clothing Leather and footware Wood industry Paper Editing and printing Chemical industry Rubber and plastics Minerals products Iron and steel Metallic products Machinery and mechanical goods Office equipment Electrical equipment Motor vehicles Other transport material Furniture Other manufacturing Outsourcing intensity (in outsourcing firms) 1991 2002 1991 2002 17.5 26.3 19.6 52.6 50.0 34.0 39.3 60.0 44.8 50.0 28.4 43.6 54.2 76.2 63.2 61.7 58.9 70.0 43.0 60.8 18.2 25.3 19.2 49.4 47.9 29.3 24.6 53.1 48.6 47.1 27.4 33.3 45.2 61.5 42.9 65.5 51.6 61.3 35.7 42.4 14.8 14.1 20.5 21.9 18.3 28.1 20.2 24.8 18.8 14.7 14.4 11.5 17.7 19.7 23.8 12.3 22.7 17.8 20.8 15.8 15.1 18.5 30.9 28.4 20.9 14.4 17.1 35.8 20.7 12.2 15.1 17.4 22.1 24.6 21.5 18.6 13.4 23.7 18.9 10.8 Source: ESEE. Chart 1 CORRELATION BETWEEN SUBCONTRACTING DECISION AND SUBCONTRATING INTENSITY BY INDUSTRY (1991-2002) 80 Subcontracting decision 70 Electrical equipment 60 Other manufacturing 50 Rubber & plastics y = 1,24x + 18,84 40 R2 = 0,24 30 Drinks 20 10 0 0 5 10 15 20 Subcontracting intensity Source: ESEE. — 11 — 25 30 35 3. LITERATURE BACKGROUND Our empirical research on the determinants of outsourcing intensity follows the theoretical work by Grossman and Helpman (2002). They examine the firm’s choice between in-house production and outsourcing (make or buy decision) within a theoretical framework that allows for the interdependence between firm’s decision and market structure. The form of industrial organization depends on the trade off between the costs that arise from vertical disintegration such as search frictions and imperfect contracting and the costs of running a larger and less specialized organization. Building on the transaction cost theory (Williamson, 1975, 1985) and property right theory (Grossman and Hart, 1986), Grossman and Helpman model assumes that outsourcing entails a variety of transaction costs associated with various aspects of inter-firm transactions. Search costs to find a suitable supplier, negotiation costs, costs to design the contract and the incomplete contracts problem, production coordination costs, technology transfer risks, etc. have to be considered. On the contrary side, outsourcing increases the flexibility in the production process as well as it allows to benefit from provider cost advantages derived from specialization, experience, economies of scale and location. When these benefits exceed transaction costs from outsourcing, firms will opt for contracting out production. With regard to the costs, we believe that some of the transaction costs related to outsourcing initiative will be irrecoverable for the firm. So, outsourcing decisions are not only costly but also difficult to reverse5. That is, they involve a significant sunk cost component, for example the search costs in finding a reliable provider. Sunk entry costs represent a barrier to a firm adopting the outsourcing strategy. They are proxied by the lagged dependent variable which may also capture the previous outsourcing experience of a firm and the persistence in outsourcing behaviour. Those firms that have outsourced in the past year and have learnt from their preceding experiences tend to outsource again in the current year. The existence of sunk entry costs and the dynamic aspect of outsourcing have been narrowly used in prior empirical works. Swenson (2004) shows that outsourcing exhibits hysteresis caused by sunk entry costs using data of the US offshore assembly program. The influence of previous outsourcing is also considered by Girma and Görg (2004) and DíazMora (2007). In order to asses the importance of sunk costs and previous experience, we use a lag structure for past outsourcing decision and for outsourcing level in this work. Supporting the hypothesis of sunk entry costs in outsourcing, a notable persistence of participation decision in outsourcing from one year to the next 5 McIvor (2005). — 12 — Instituto de Estudios Fiscales can be observed in Spanish manufacturing firms (table 3). According to our data, 82 per cent of firms that outsource production continue to outsource in the following year, while this ratio is 14 per cent among non-outsourcing firms. That is, outsourcing firms in the current year are 5.9 times more likely to outsource in the following year than a currently non-outsourcing firm. The persistence is even higher for those firms that do not outsource in a particular year: 86 per cent of them remain inactive in the following year. The pattern of persistence is also clear at industry-level6. Therefore, our findings corroborate the importance of sunk entry costs in outsourcing strategy. Table 3 OUTSOURCING TRANSITION PROBABILITIES Out t+1 No-Out t+1 Out t 81.65 18.35 No-Out t 13.73 86.27 One of these sunk entry costs are just the search costs in finding a reliable provider. Grossman and Helpman (2002) model search as a matching process which is costly and is not always successful. So the expected profits for outsourcing depend positively on the probability of finding a suitable partner. In this point, they consider the influence of industry environment on outsourcing dynamics in two ways. By one hand, the attractiveness of outsourcing depends on whether other firms in the same industry have chosen to be vertically integrated or to outsource. The expected profits of a main contractor firm decline with the entry of other firms like it, “because additional firms on the same side of the market reduce the likelihood of matching”7. Moreover, potential outsourcers “find more attractive to outsource the thicker the market for the input is, in the sense that there exist more sellers to serve the buyers’ needs”8. By this way, Grossman and Helpman explore the possibility of interactions between firms’ organization decisions. For this reason, two industry variables are included in the model: the amount of main contractor firms in the industry (same-side market thickness) and the amount of specialized providers in the industry (other-side market thickness). By other hand, outsourcing is more likely to exist in large industries due to the benefits of having a thicker market. That is, the larger the industry, the greater the number of main contractors and providers that enters the industry. 6 7 8 For the outsourcing transition probabilities by industry, see Díaz-Mora and Triguero (2007). Grossman and Helpman (2002), page 96. Helpman (2006), pages 615-616. — 13 — But industry size favours outsourcing only with increasing returns to scale in matching, i.e. when the chances for a firm of finding a good match grow as the number of firms on each side of the market rises. Size does not matter when there are constant returns to matching. In that case, there could be no influence of industry size on outsourcing. The industry size is measured by the number of firms in each industry. McLaren (2000) also considers the effects of market thickness on the outsourcing of intermediate inputs in a transaction cost model where the trade off between vertical integration and outsourcing is considered. He argues that an increase in the thickness market can lead to outsourcing. As international trade increases the thickness of the market, outsourcing will be more viable in firms operating in markets and economies open to international trade (McLaren, 2000). It could be argued that the significance of international openness will be greater in firms where foreign outsourcing prevails. The ESEE does not provide information on whether production is outsourced to firms abroad or in the domestic economy. But recent studies for Spanish economy using input-output data show that international dimension of fragmentation of production is becoming more and more important, particularly in sectors with higher export propensity (Gandoy and Díaz-Mora, 2007). Taking into account the increasing relevance of international outsourcing, we try to estimate the role of exports on outsourcing behaviour. A dummy variable is included in the model. It takes the value 1 if the firm shows positive export behaviour and 0 otherwise. Empirical works such as Kimura (2001) and Görg and Hanley (2004) introduce an export variable and they obtain a significant and positive effect on outsourcing. Besides that, we consider the influence of industry environment on outsourcing in an additional mode: specific industry characteristics could ease the disintegration of production process, and consequently favour outsourcing. That is, belonging to a specific industry may condition the firm’s outsourcing strategy. The introduction of industry dummies allows us to control the permanent differences across industries. On the benefit side, efficiency considerations mix with flexibility considerations. The primary motivation for outsourcing emerging from opinion surveys is to cut costs. Outsourcing can help to improve the efficiency of the production process when the main contractor can take advantage of lower wages in subcontractor firm. So, wages are considered as a key determinant of outsourcing strategy. We expect that those firms where the wages are higher will be more dynamic in outsourcing strategy. In the review literature, the sign of this labour variable varies depending on the manufacturing industry and on the estimation technique (Girma and Görg, 2004; Görg and Hanley, 2004). Only Holl (2007) and Diaz-Mora (2007) do obtain a positive and significant coefficient using Spanish manufacturing data. — 14 — Instituto de Estudios Fiscales The labour-cost saving argument is not the only factor to take into account in outsourcing strategy. Cost cutting derived from specialized knowledge and exploitation of scale and scope9 economies in the production of intermediate inputs and components also helps to improve firm efficiency. The existence of economies of scale and scope emphasizes the role of firm size variable as a determinant of outsourcing. Taking into account that small and medium enterprises have more difficulties to get the minimum efficient scale, our hypothesis is that they will opt more intensively for outsourcing. Larger firms are in better position to integrate their production processes while smaller can find outsourcing like a useful alternative to get scale and scope economies. But there are controversial arguments to expect a negative relation between firm size and outsourcing intensity. Since outsourcing increases firm’s capacity for adaptation and flexibility, large firms are more likely to carry out the vertically de-integration of their production structures. In this sense, Görzig and Stephan (2002) point out that regarding the relationship between firm size and performance, there should be a trade-off between economies of scale on the one hand and increasing inefficiency on the other. Furthermore, larger firms must have better access to specific inputs and information which can facilitate the decision or the continuation of subcontracting arrangements. Thus, the sign of firm size becomes an empirical matter. A positive effect on outsourcing decision is found in Holl (2004) and a negative effect on outsourcing level in Görg and Hanley (2004) where firms with thirty or less employees are excluded. Reasons for outsourcing not merely include getting lower costs due to economies of scale and scope or lower labour rates. Subcontracting implies more flexibility by turning fixed costs into variable costs. The flexibility­ enhancing motivation for outsourcing is even more necessary in a changing market environment. Therefore, changes in demand and other market conditions need to be considered (Demsetz, 1995; Abraham and Taylor, 1996; Shy and Stenbacka, 2003; Lin and Tsai, 2005 and Buehler and Haucap, 2006). For this motive, we include a variable measuring these changes in the market conditions. Specifically, we incorporate a dummy variable coded 1 if the surveyed firm shows changes in market conditions and 0 if does not. Furthermore, outsourcing as a strategy to face a very dynamic market environment is even more necessary for firms in industries where innovation and rapid responsiveness to customer needs are key sources of comparative advantage (McIvor, 2005). Lin and Tsai (2005) also indicate that a changing market environment favours outsourcing activities, mainly in products 9 Jones and Kierzkowski (2001) argue that disintegration of vertical production processes can result in production blocks being sufficiently simple which are used in very different activity. An example is the computer chips which currently are incorporated into computers, but also in cameras, cars, micro-vans and so on. — 15 — characterized by a higher technological content10. Outsourcing is understood as a way of flexible mode of production which allows high-tech firms to focus on R&D, design and other skill intensive stages of production while the most of their physical production is contracting out. Subcontracting is becoming very important for firms producing sophisticated and high tech goods (Curzon Price, 2001). To take into account this argument, we introduce dummy variables which take the value 1 if the firm does process innovation, product innovation and R&D activities, expecting a positive relation between these firm’s characteristics and the propensity to contract out production. We also introduce the proportion of R&D expenditures over total sales to explain the outsourcing intensity. Tomiura (2005, 2006) finds a positive coefficient for R&D intensity and he explains that outsourcing creates greater incentives for innovation by lowering production costs and raising profits. Although the main drivers of outsourcing are reduced costs and increased flexibility, recent theoretical literature such as Shy and Stenbacka (2003), Buehler and Haucap (2006) and Leahy and Montagne (2007) introduces additional strategic considerations in determining the make or buy decision. Specifically, it is argued that firms may choose outsourcing strategically to influence the behaviour of competitors. In this sense, outsourcing is used as a strategic instrument to compete with their rivals in the industry where firms operate. On this basis, competitive pressure will work in favour on strategic outsourcing. So, the increasing competition in global markets encourages outsourcing. To consider strategic outsourcing, a proxy for the degree of market competition is incorporated. It is a dummy variable which takes the value 1 if the firm has competitors with a significant quota in the own market and 0 otherwise. Other firm characteristics are introduced as control variables in the model such as firm age and foreign ownership. With regard to firm age, we argue that subcontracting requires experience because mature firms could find appropriate partners easier than younger companies due to a “learning effect” (Ono, 2003). Moreover, the first ones could be more prone to focus on their core activities. Age variable is measured as the years the firm is operating. It is calculated as the difference between the year the firm was born up and the current year11. The effect of foreign capital participation on outsourcing behaviour is also estimated. Previous works suggest a positive relation between international 10 Demsetz (1995) also mentions the role of technological factor. Outsourcing will be more significant in high-tech products (due to technological change) as well as in sectors such as wearing apparel (due to changing fashion). 11 The year the company was created (firm age) is one of the questions which are only asked every four years in the survey. For this reason, we suppose that the age is the most recent answer given by the same firm. — 16 — Instituto de Estudios Fiscales outsourcing and foreign ownership. Kimura (2001) and Girma and Görg (2004) found that foreign ownership has a positive and significant effect on outsourcing. They argue that firms that belong to a multinational group have a higher probability of contracting out to more efficient providers abroad. Nevertheless, for the Spanish case, Holl (2007) and Díaz-Mora (2007) obtained the opposite results. A possible explanation could be that, taking into account lower variable managerial costs such as monitoring and coordination production, a better option for multinational firms is sourcing production from an affiliate firm located abroad (intra-firm sourcing or captive offshoring) instead of an independent foreign supplier (offshore outsourcing)12. So, foreign affiliates could be less active in outsourcing strategy. Hence, our expectation regarding the sign of the relationship between foreign ownership and subcontracting pattern is ambiguous. To control for nationality (foreign or domestic), we include the dummy variable Foreign Ownership which takes on value 1 if the firm has foreign ownership participation (at least 50%) and 0 otherwise. At last, we control for other market conditions such as the concentration of purchases in a few providers at the level firm. 4. THE MODEL OF OUTSOURCING DETERMINANTS After revising the theoretical and empirical literature, we select a wide range of firm, industry and market characteristics to estimate their influence on outsourcing behaviour. Table 4 summarizes these variables. Table 4 DEPENDENT AND EXPLANATORY VARIABLES: DEFINITION, MEASURE AND EXPECTED SIGNS Explanatory Variables Definition and measure Expected sign DOUTt-1 Dummy variable taking value 1 if firm subcontracts in year t-1 and 0 otherwise + OUTCOit-1 Outsourcing intensity in year t-1 + Same-side Market Ratio of main contractor firms to total firms in the industry Thickness - Ratio of specialized providers to total firms in the Other-side Market Thickness industry + (Follows) 12 World Trade Organization (2005). — 17 — (Continuation) Explanatory Variables Definition and measure Expected sign Industry-size Log of the number of firms in the industry + Export status Dummy variable that takes the value 1 if the firm exported in t-1 and 0 otherwise + Wage it-1 Log of the wage per employee in year t-1 + Firm-Size Log of the number of employees Market-changes Dummy variable that takes the value 1 if the firm has suffered changes in market conditions and 0 otherwise + Process­ innovation Dummy variable that takes the value 1 if the firm does process innovation and 0 otherwise + Product­ innovation Dummy variable that takes the value 1 if the firm does product innovation and 0 otherwise + R&D status Dummy variable that takes the value 1 if the firm does invest in R&D and 0 otherwise + R& D intensity R&D expenditure normalized by sales (in %) + Marketcompetition Dummy variable that takes the value 1 if the firm has competitors with a significant market quota and 0 otherwise + Firm Age Log of the number of years since the firm was born + Foreign-own Dummy variable taking value one if more than 50% Undetermined of the firm shares are foreign and zero otherwise Providers' Concentration Total intermediate purchases of the firm to the main three providers (in %) Dj Industry dummies for 20 sectors of two-digit NACE Dt Time dummies Undetermined Undetermined Table 5 reports the means of the explanatory variables for firms that subcontract and firms that do no subcontract along the period. Considerable differences between the two types of firms can be observed. Firms engaged in outsourcing on average pay higher wages, they are larger and more mature and they belong to larger industries than integrated firms. These companies have also less providers’ concentration ratios. Moreover, the percentage of firms that — 18 — Instituto de Estudios Fiscales face to changes in market conditions, do product and process innovation, invest in R&D activities, are exporting firms, have competitors with a significant market quota and have foreign capital participation is greater for firms active in outsourcing. Table 5 FIRM, INDUSTRY AND MARKET CHARACTERISTICS DEPENDING OUTSOURCING BEHAVIOUR Firms that Firms that do outsource not outsource Export status (% of exporting firms) 72.24% 51.53% Wages 24,591 22,284 357 208 Market changes (% of firms that face to them) 33.84% 29.59% Process innovations (% of firms that do them) 42.33% 30.23% Product innovations (% of firms that do them) 36.29% 20.30% R&D status (% of firms that do R&D) 47.40% 29.13% R&D intensity 1.09% 0.45% Market competition (% of firms with competitors with a relevant market quota) 82.94% 77.52% 25 22 Foreign ownership (% of firms with foreign capital participation) 27.36% 19.89% Providers´ Concentration (% of total purchases to the main three providers) 43.14% 51.02% Firm size (number of employees) Firm age (number of years) We propose the next model which relates the outsourcing intensity with each of the firm, industry and market characteristics detailed above. These characteristics try to capture the main motives for firms to engage in production outsourcing in the selection equation (1) and settle on the amount contracted out in the objective equation (2): Outsourcing decision: DOUTit = F (β1DOUTi,t-1 +β2Same-side Market Thicknessjt +β3Other-side Market Thicknessjt +β4Industry-sizej,t +β5Exporti,t +β6Wagei,t-1 + β7Firm-Sizei,t + β8Market-changesi,t — 19 — +β9Process-innovationi,t +β10Product-innovationi,t +β11R&Di,t +β12Market-competitioni,t + β13Ageit +β14Foreign-owni,t +β15Providers-coni,t +β16Dt +β17Dj +ui1t) (1) Intensity outsourcing: OUTCOit = F (β1OUTCOi,t-1 + β2Same-side Market Thicknessjt +β3Other-side Market Thicknessjt +β4Industry-sizej,t +β5Exporti,t +β6Wagei,t-1 + β7Firm-Sizei,t + β8Market-changesi,t +β9Product-innovationi,t +β10R&Dintensityi,t +β11Market-competitioni,t+ β12Ageit +β13Foreign-owni,t + β14Providers-coni,t + +β15Dt +β16Dj + ui2t) (2) Where i represents the firm and t is the year from 1991 to 2002. In the selection equation (1), DOUT is a dummy variable which takes the value 1 or 0 depending on whether the firm decides to contracted out production in period t or not. If DOUTit = 1 , then OUTCO is the outsourcing intensity measured as the value of production which have been outsourced to the value of the total intermediate purchases. When the error terms of equations (1) and (2) are correlated (Correlation (ui1t ,ui2t ) = ρ ), that is ρ is not 0, simple OLS estimation of outsourcing intensity could result in biased coefficients. With respect to the econometric modelling of subcontracting behaviour, we use a Heckman (1979) approach, which recognises that firms that contract out are not a random sub­ set of all firms; rather, modelling outsourcing intensity needs to take account that those firms with non-zero outsourcing intensity levels have certain characteristics that are linked to how much is subcontracted. To correct for selection bias, we thus used the Heckman Full Information Maximum Likelihood (FIML) estimation procedure from STATA. This procedure yields unbiased estimates of coefficients. The decision equation includes two variables that are not included in the objective equation, as an econometric device for identifying the selection equation. These variables are two dummies related with the technological level: process innovation and R&D activities. These variables are insignificant when we regress intensity outsourcing separately. Instead of them, we introduce R&D expenditure over sales after proving its lack of significance in the selection equation. Furthermore, we include previous outsourcing decision in the selection equation and preceding outsourcing intensity in the objective equation as a proxy for the existence of sunk costs. The introduction of industry dummies allows us the possibility of controlling for differences across industries. Also, we introduce year dummies to capture macroeconomic and temporal changes. Like mentioned above, we need to account this self-selection element to avoid selection bias when modelling subcontracting intensity. In a first step, the company decides to outsourcing or not and, once outsourcing has been chosen, the firm establishes the volume of production to be subcontracted. Consequently, inclusion in the second sample when we model intensity is not random. If the variables that determine whether a firm does outsourcing are unrelated to those that determine — 20 — Instituto de Estudios Fiscales the amount of production contracted out, then the two stage approach to selecting cases does not likely introduce selection bias. However, the possibility of sample selection bias arises whenever a sub-sample is examined and the unobservable factors determining inclusion in the sub-sample are correlated with the unobservable variables influencing the variable of primary interest (Vella, 1998). Maximum likelihood estimators have to be employed to obtain efficient and consistent coefficients and both equations are estimated simultaneously using the Full Information Maximum Likelihood (FIML) estimator. We use the Heckman sample selectivity approach based on a FIML simultaneous estimation of the model involving both who contracts out and how much is contract out. This means that the outsourcing decision and intensity are not separated into two stages. But since heteroscedasticity is a potential problem when the Heckman technique is applied to pooled data (Beck and Katz, 1995), we prefer to control this selection bias using the Huber/White standard error estimator13. The results from the Heckman selection model with robust estimators are comparable to which obtained from two-step procedure with separate probit and regression analyses14. 5. ECONOMETRIC RESULTS Table 6 reports the econometric results of our estimations. We begin by discussing the results of the selection bias in the outsourcing behaviour model. The statistically significant Mills ratio coefficient confirms the existence of selection bias in the specified models. In all the cases, we reject the null hypothesis at the 1 percent level of confidence that there is no sample selection problem. That is, the positive coefficient of the Mills ratio implies that a positive correlation exists between the decision to contract out –and therefore to engage in the outsourcing strategy– and the outsourcing intensity. All the regressions include industry dummies in order to control for industry-specific characteristics but we omit them because of space considerations. 13 By specifying robust, one may forgot model-based variance estimates in favour of the more model-agnostic “robust” variances. Robust variances give accurate assessments of the sample-to-sample variability of the parameter estimates even when the model is misspecified. The robust variance comes under various names and within Stata is known as the Huber/White/sandwich estimate of variance. The names Huber and White refer to the seminal references for this estimator (Huber, 1967; White, 1980). 14 The model was also specified using a two-stage Heckman technique to correct for sampling effects. In this procedure, the selection equation (1) is firstly estimated through maximum likelihood estimation and the predicted probabilities from this estimation are saved and transformed into the reciprocal of the Mills ratio (IMR), known as the non-selection hazard rate or lambda. Secondly, the hazard rate is included as independent variable in the objective equation (2) summarizing the selectivity effect. — 21 — The first two columns of table 6 (Specification 1) correspond to the regression estimates of our model using all the variables, except other-side market thickness due its high correlation with same-side market thickness. As expected, the coefficient for lagged outsourcing intensity is positive and highly significant. The probability of engaged in outsourcing this period also depends on previous subcontracting behaviour. Both results are related to sunk costs that firms have to face when they decide to subcontract production. So, outsourcing behaviour shows a high persistence. Furthermore, we find good evidence that only a few variables that determine whether a firm does outsourcing are similar to those that determine the amount of subcontracted production. These variables are wages, product innovation and same-side market thickness. For the first two variables, the sign obtained is in line with previous expectations. Firms with higher wages and product-innovative firms are more likely to engage in subcontracting and also to show higher outsourcing intensity. As explained above, outsourcing may reduce the total wage bill when production in contracted out to lower wages providers. This result corroborates that cost-cutting is a key reason for outsourcing. Contrary to expected, same-side market thickness influences positively on outsourcing decision and level. That is, the more the proportion of main contractors in an industry, the higher the likelihood of outsourcing and the subcontracting intensity. A possible explanation is that this variable also controls for strategic motives for outsourcing. Benefits of outsourcing such as improvements in efficiency and competitiveness will induce an increase in competitive pressure that, following Leahy and Montagna (2007), leads to a greater demand for outsourcing. Furthermore, firms can begin to outsource to achieve benefits from outsourcing obtained by competitors. Therefore, outsourcing would be a response to competitor actions (McIvor, 2005). From this perspective, an increase in the amount of outsourcing firms makes outsourcing more attractive (and necessary) from non-outsourcing firms. However, the variable used to measure an increasing competition environment, market competition variable, is not significant. The remaining explanatory variables included in both equations exhibit significant coefficients for only one equation. Foreign ownership exclusively affects intensity outsourcing, showing a negative sign. Firms with foreign participation tend to outsource less once they are engaged in outsourcing. Consistent with prior Spanish evidence, foreign ownership does not favour the decision about engaging in outsourcing since the coefficient in selection equation is not significant. By other hand, variables such as market changes, providers’ concentration and export influence outsourcing decision. The significance of these effects, however, appears to be unimportant to set the amount of subcontracted — 22 — Instituto de Estudios Fiscales production. Exporter firms and those firms faced to changes in market’s conditions use outsourcing more frequently. The positive and significant effect of firm export status on outsourcing strategy allows us to think that a fraction of outsourcing goes beyond national borders adopting an international dimension. In addition, frequent changes in market’s condition induce to higher outsourcing propensity15. On the contrary side, the coefficient on provider concentration is negative. Therefore, the probability of a good match and, consequently, the probability of outsourcing increases as the number of providers grows. With regard to technological variables, we find that process innovation and R&D activities affect positively the likelihood of being engaged in outsourcing. But, once a firm has decided to outsource, an increase in R&D intensity does not have any significant impact on the amount of subcontracted production. To check robustness of these results, we estimate additional specifications. First of all, in the specification 2, the variable export status is replaced by the variable export intensity (firm’s exports over sales) in the objective equation. The decision of outsource returns to be positively related to exporter status but the export intensity is not significant to explain the outsourcing intensity. The sign and significance of the rest of the variables are similar to Specification 1, pointing to the consistency of estimates. Secondly, taking into account the insignificance of firm size variable measured by the log of number of employees, a dummy variable is used to control for the size of the firm (specification 3). This variable (Dfirm-size) takes the value 1 if the firm has more than 200 employees and 0 otherwise. It shows a significant coefficient but only in objective equation and the sign is negative. That is, to be a big firm seems to influence negatively on outsourcing intensity but it does not determine the subcontracting decision. So, smaller firms show a higher level of subcontracting trying to exploit scale and scope economies of specialized providers. Other variables remain unchanged. Due to the way of defining the variables size industry and the share of contractors, there is a likely relationship between them. For that, the variable size industry is removed from initial model and same-side market thickness is measured by the log of the number of main contractors in each industry (Specification 4). The results are basically the same as those in Specification 1, indicating that the results are robust. The more firms that outsource, the greater is the probability to outsource. The positive and significant coefficient supports the strategic use of outsourcing. With this variable, the effect of same-side market thickness on 15 If changes in market’s conditions were an excellent indicator for market uncertainty, this result would disagree with Álvarez and Stenbacka (2007) who, using a theoretical model, defend that market uncertainty stimulates the outsourcing intensity but, contrary to common perception, postpones the adoption of outsourcing strategy. That, according to them, uncertainty would influence outsourcing level but not outsourcing decision. — 23 — outsourcing intensity is not significant. Additionally, in Specification 5 we introduce the ratio of specialized providers to total firms in a sector (other-side market thickness). According to prior expectations, this variable is positive and significant in both equations. Matching process is easier, and therefore outsourcing is more extensive and intensive, the thicker is the other side of the market. Finally, we run regressions using alternative measures to the size industry taking into account its lack of significance. Specifically, we employ the number of employees in each industry (Size-industry2) in the Specification 6. Industry size variable turns out statistically significant in both equations. As the industry-size increases, so do the likelihood and the intensity of outsourcing. The positive and significant sign of industry-size seems to confirm the existence of increasing scale returns in matching process and so large industries favour outsourcing strategy. And once more, the remainder regressors do not change. Table 6 THE DETERMINANTS OF OUTSOURCING INTENSITY- A HECKMAN MODEL Specification 1 Specification 2 Specification 3 Objective Selection Objective Selection Objective Selection equation equation equation equation equation equation DOUTt-1 1.836*** (0.027) 1.839*** (0.027) 1.836*** (0.027) OUTCOit-1 0.682*** (0.015) Same-side Market Thickness (1) 0.114** 0.027*** 0.115** 0.027*** 0.113** 0.027*** (0.055) (0.003) (0.055) (0.003) (0.055) (0.003) Industry-Size (1) 0.212 (2.241) Export 0.346 0.175*** (0.557) (0.031) 0.682*** (0.015) 0.011 (0.127) Export intensity 0.242 (2.243) 0.682*** (0.015) 0.009 (0.127) 0.303 (2.240) 0.006 (0.126) 0.171*** 0.370 0.168*** (0.030) (0.556) (0.031) 0.009 (0.010) Wage it-1 1.863** 0.142*** 1.790** 0.141*** 1.837** 0.134*** (0.730) (0.039) (0.724) (0.039) (0.714) (0.038) Firm-Size -0.316 (0.206) -0.011 (0.012) Dfirm-Size Market-changes -0.326 (0.206) -0.011 (0.012) -1.197* 0.002 (0.675) (0.043) 0.084 0.071*** 0.084 0.073*** 0.070 0.069*** (0.430) (0.026) (0.430) (0.026) (0.430) (0.026) (Follows) — 24 — Instituto de Estudios Fiscales (Continuation) Specification 1 Specification 2 Specification 3 Objective Selection Objective Selection Objective Selection equation equation equation equation equation equation Process-innovation Product-innovation 0.079*** (0.027) 0.080*** (0.027) 0.077*** (0.026) 0.864* 0.172*** 0.839* 0.173*** 0.836* 0.171*** (0.444) (0.030) (0.445) (0.030) (0.443) (0.030) R&D 0.060* (0.031) 0.059* (0.031) 0.051* (0.031) R& D intensity 0.069 (0.085) Market-competition -0.738 (0.592) 0.045 (0.032) -0.716 (0.591) 0.043 (0.032) -0.734 (0.593) 0.044 (0.032) Firm Age 0.113 (0.239) -0.001 (0.014) 0.130 (0.238) 0.000 (0.014) 0.109 (0.240) -0.003 (0.014) Foreign-own -1.284** -0.034 -1.280** -0.032 -1.312** -0.043 (0.537) (0.033) (0.539) (0.033) (0.535) (0.033) Providers' Concentration 0.011 -0.003*** 0.011 -0.003*** 0.011 -0.003*** (0.011) (0.001) (0.011) (0.001) (0.011) (0.001) 0.067 (0.085) Selection test –IMR (athrho) 0.508*** (0.031) 0.062 (0.085) 0.506*** (0.031) 0.508*** (0.031) Observations 16450 Censored obs. 9239 9239 9239 Uncensored obs. 7211 7199 7211 Wald chi2 3662.26 3653.26 3672.97 Prob>chi2 0.00 0.00 0.00 254.39 257.37 254.18 0.00 0.00 0.00 Specification 4 Specification 5 Specification 6 Wald test of independent equs. (rho=0) Prob>chi2 16450 16438 16438 16450 16450 Objective Selection Objective Selection Objective Selection equation equation equation equation equation equation DOUTt-1 OUTCOit-1 1.837*** (0.027) 0.682*** (0.015) 1.839*** (0.027) 0.682*** (0.015) 1.834*** (0.027) 0.682*** (0.015) (Follows) — 25 — (Continuation) Specification 4 Specification 5 Specification 6 Objective Selection Objective Selection Objective Selection equation equation equation equation equation equation Same-side Market Thickness (2) 2.194 0.561*** 2.908 0.593*** (1.745) (0.093) (1.782) (0.095) Other-side Market Thickness 0.133*** 0.006** (0.047) (0.003) Industry-Size (2) 3.439*** 0.223*** (0.730) (0.048) Export 0.348 0.177*** 0.328 0.177*** 0.359 0.177*** (0.557) (0.031) (0.557) (0.031) (0.557) (0.031) Wage it-1 1.876** 0.147*** 1.867** 0.147*** 1.876** 0.146*** (0.729) (0.039) (0.728) (0.039) (0.729) (0.039) Firm-Size -0.328 (0.206) Market-changes 0.082 0.071*** 0.076 0.070*** 0.082 0.070*** (0.429) (0.026) (0.430) (0.026) (0.430) (0.026) Process-innovation Product-innovation -0.014 (0.012) -0.327 (0.206) 0.077*** (0.026) -0.014 (0.012) -0.319 (0.205) 0.077*** (0.026) -0.012 (0.012) 0.080*** (0.026) 0.871** 0.173*** 0.870** 0.173*** 0.873** 0.170*** (0.444) (0.030) (0.444) (0.030) (0.444) (0.030) R&D 0.063** (0.031) 0.062** (0.031) 0.064** (0.031) R& D intensity 0.070 (0.085) Market-competition -0.732 (0.592) 0.046 (0.032) -0.740 (0.592) 0.045 (0.032) -0.733 (0.592) 0.045 (0.032) Firm Age 0.117 (0.239) -0.000 (0.014) 0.126 (0.238) -0.000 (0.014) 0.110 (0.239) -0.002 (0.014) Foreign-own -1.285** -0.034 -1.288** -0.034 -1.295** -0.036 (0.537) (0.033) (0.536) (0.033) (0.536) (0.033) Providers' Concentration 0.011 -0.003*** 0.012 -0.003*** 0.011 -0.003*** (0.011) (0.001) (0.011) (0.001) (0.011) (0.001) 0.065 (0.085) Selection test –IMR (athrho) 0.506*** (0.031) Observations 16450 0.071 (0.085) 0.504*** (0.031) 16450 16450 0.510*** (0.031) 16450 16450 16450 (Follows) — 26 — Instituto de Estudios Fiscales (Continuation) Specification 4 Specification 5 Specification 6 Objective Selection Objective Selection Objective Selection equation equation equation equation equation equation Censored obs. 9239 9239 9239 Uncensored obs. 7211 7211 7211 Wald chi2 3658.46 3686.36 3659.70 Prob>chi2 0.00 0.00 0.00 253.59 250.61 254.90 0.00 0.00 0.00 Wald test of independent equs. (rho=0) Prob>chi2 Notes: Significant coefficients are indicated by *, **, ***, for significance at the 10%, 5% and 1% level, respectively. Robust standard errors in parentheses. All regressions include unreported sectoral dummies and annual time dummies. All variables, except the dummy and the variables expressed in %, are in logarithm. 6. CONCLUSIONS In this paper we have used firm-level manufacturing data from 1991 to 2002 to estimate a model of the determinants of outsourcing intensity taking into account that before firms decide to contract out or not. In particular, we are interested on knowing if firms decide to contract out and the volume of subcontracting because of similar reasons. For doing that, the Heckman procedure is designed to eliminate the effect of selection bias from the estimated results. In fact, we determined that the coefficient on the Inverse Mills term was statistically significant, implying the existence of selection bias in the outsourcing performance. As a result, we have employed the estimates from the Heckman FIML procedure rather than the ordinary least squares results in our analysis. If decisions on subcontracting are correlated with the error terms in the intensity equations, the OLS estimates of the model parameters would be biased and inconsistent. Previous descriptive analysis shows those firms that are active in outsourcing contract out around 20 per cent of intermediate inputs. The outsourcing intensity is even higher in industries such as textiles and clothing, editing and printing, drinks, machinery and other transport equipment. That is, particular industry characteristics seem to be important to explain a more intensive use of outsourcing. Moreover, given that there is not a strong correlation between outsourcing propensity and intensity by sectors, we argue that factors determine decision and level of outsourcing can differ. — 27 — Econometric results confirm this expectation. Only a few variables influencing the outsourcing intensity coincide with those that affect decision of outsourcing. First of all, previous outsourcing behaviour shows a positive and very significant coefficient. So, outsourcing behaviour exhibits a high degree of persistence. This outcome confirms the importance of sunk costs and previous experience in outsourcing strategy. Furthermore, other variables such as wages, product innovation, size industry and variables related to thickness of the market (the amount of main contractors and specialized providers) favour outsourcing behaviour. Innovation firms and firms with higher wages use outsourcing more extensive and intensively. This outcome provides empirical evidence, by one hand, to the cost-cutting motive for outsourcing and by other hand, to the flexibility-enhance reason for outsourcing in very dynamic markets. At last, the more firms that outsource, the greater is the probability to outsource, implying the existence of strategic outsourcing. Besides that, other variables such as foreign ownership and firm size affect exclusively the outsourcing intensity. The sign of both variables are negative. Large firms and firms with foreign participation show lower outsourcing intensity. Whereas variables like market changes, R&D and export merely influence outsourcing decision and do it in a positive way, corroborating a higher propensity to outsourcing in complex and very competitive environments. To check robustness, different specifications of the model have been estimated and the results have been very similar. The robustness of the results favours the validity of theoretical arguments about factors that influence outsourcing strategy. — 28 — REFERENCES ABRAHAM, K. and TAYLOR, S. (1996): Firm’s use of outside contractors: theory and evidence, Journal of Labour Economics, n.º 14, pp. 394-424. 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(2006): Foreign versus domestic outsourcing: firm-level evidence on the role of technology, Paper presented at the Eighth ETSG Conference, september 7-9, 2006, Vienna, Austria. VELLA, F. (1998): Estimating Models with Sample Selection Bias, Journal of Human Resources, n.º 33, pp. 127-164. WHITE, H. (1980): A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, n.º 48, pp. 817-830. WILLIAMSON, O. (1975): Markets and hierarchies: Analysis and antitrust implications, Macmillan, New York. WORLD TRADE ORGANIZATION (2005): World Trade Report 2005, Chapter 3C, Offshoring services: recent development and prospects, Geneva. — 31 — SÍNTESIS IMPLICACIONES DE POLÍTICA ECONÓMICA El objeto de este trabajo es el estudio de los determinantes del outsourcing utilizando datos de empresas manufactureras españolas de la Encuesta sobre Estrategias Empresariales. El outsourcing es una estrategia empresarial que consiste en segmentar la cadena de valor de un producto con objeto de dejar de producir partes específicas de la misma para encargarlas a otras empresas; no obstante, es algo más que la mera compra de materias primas y componentes estandarizados en el mercado, puesto que una característica específica de la estrategia es la relación a largo plazo que se establece entre las empresas y la transmisión fluida de información detallada del producto. Una creciente competencia, con mercados sujetos a continuos cambios y complejos procesos productivos está empujando a las empresas a evaluar cuales son las fases en la que residen sus ventajas competitivas (core-competences) y a subcontratar el resto en un claro intento de mejorar su eficiencia. Es más, los avances en la liberalización comercial, las marcadas reducciones en los costes de transporte y las revolución tecnológica en el campo de la información y la comunicación ha favorecido notablemente un uso más extensivo e intensivo del outsourcing al tiempo que ha impulsado su dimensión internacional. Aunque la importancia del fenómeno es bien conocida, los análisis empíricos sobre sus determinantes son aún escasos y los resultados insuficientemente concluyentes. A la luz de los modelos teóricos, el trabajo contrasta la influencia de ciertas características empresariales y sectoriales sobre el outsourcing a la vez que tiene en cuenta el carácter hundido de algunos de los costes a los que se enfrentan las empresas al adoptar esta estrategia. En este campo es el primer trabajo empírico que ofrece un análisis conjunto de la decisión y de la intensidad del outsourcing. Así, se divide el comportamiento “externalizador” en dos niveles: en primer lugar, la empresa decide si subcontrata o no producción y, una vez que se ha decantado por el outsourcing, establece qué volumen producción va a subcontratar. Teniendo en cuenta que nuestra investigación pone de manifiesto que aproximadamente la mitad de nuestras empresas manufactureras no están optando por el outsourcing de producción, el estudio del comportamiento de la variable intensidad del outsourcing habrá de tener en cuenta estos casos en el análisis econométrico para no obtener resultados erróneos. Por ello en este trabajo para corregir el sesgo de selección muestral se estiman los parámetros determinantes de la decisión de subcontratar y de la intensidad de dicha subcontratación de forma simultánea utilizando el método FIML (full information maximum likelihood), más eficiente que la estimación bietápica del método de Heckman tradicional. Nuestros datos muestran como, a comienzos del siglo XXI, las empresas manufacturas españolas activas en la estrategia del outsourcing están subcontratando en torno al 20% del valor de sus consumos intermedios, siendo esa intensidad del — 33 — outsourcing sensiblemente superior en las empresas de menor dimensión y especialmente en sectores como bebidas, textil y confección, edición y artes gráficas, maquinaria y otro material de transporte. Este resultado avala la hipótesis de que existen determinadas características sectoriales, además de empresariales, que favorecen la estrategia de desintegración vertical de la empresa de manera que algunas industrias en particular gozan de una mayor predisposición al outsourcing. Por otro lado, la ausencia de una correlación fuerte entre la propensión a subcontratar y la intensidad de la subcontratación por sectores permite intuir que los determinantes de una y otra variable pueden no coincidir. Los resultados del análisis econométrico así lo confirman y únicamente unas pocas variables determinan conjuntamente la decisión y la intensidad del outsourcing. Es el caso del comportamiento previo de la empresa en relación al outsourcing que muestra un coeficiente positivo y altamente significativo en ambas ecuaciones, evidenciando, en primer lugar, que una parte de los costes de transacción son irrecuperables, lo que constituye una barrera de entrada y de salida al outsourcing y, en segundo lugar, que la experiencia previa juega un papel importante en el comportamiento “externalizador” de la empresa. Otras variables como el nivel salarial y la innovación de producto también favorecen un uso extensivo e intensivo del outsourcing. Las empresas más activas en externalizar producción son, por un lado, las empresas con mayores salarios lo que permite otorgar soporte empírico a la hipótesis del outsourcing como estrategia que persigue un ahorro en costes laborales y, por otro, las empresas más innovadoras lo que avala la idea de estrategia como vía para incrementar la flexibilidad en un marco de mercados muy dinámicos. Por último, cuanto más extendido está el uso del outsourcing en un sector, mayor es la probabilidad de que una empresa del sector acometa dicha estrategia y lo haga con mayor intensidad, confirmándose así el carácter estratégico del outsourcing. Destacan otras variables con influencia únicamente sobre la decisión de subcontratar producción, como es el caso de ser empresas exportadoras, realizar actividades en I+D y enfrentarse a frecuentes cambios en el mercado corroborando la mayor predisposición al outsourcing de empresas que operan en entornos más complejos y competitivos. Por el contrario variables como el tamaño de la empresa y la participación accionarial extranjera parecen afectar negativamente a la cantidad de producción subcontratada. — 34 — NORMAS DE PUBLICACIÓN DE PAPELES DE TRABAJO DEL INSTITUTO DE ESTUDIOS FISCALES Esta colección de Papeles de Trabajo tiene como objetivo ofrecer un vehículo de expresión a todas aquellas personas interasadas en los temas de Economía Pública. Las normas para la presentación y selección de originales son las siguientes: 1. Todos los originales que se presenten estarán sometidos a evaluación y podrán ser directamente aceptados para su publicación, aceptados sujetos a revisión, o rechazados. 2. Los trabajos deberán enviarse por duplicado a la Subdirección de Estudios Tributarios. Instituto de Estudios Fiscales. Avda. Cardenal Herrera Oria, 378. 28035 Madrid. 3. La extensión máxima de texto escrito, incluidos apéndices y referencias bibliográfícas será de 7000 palabras. 4. Los originales deberán presentarse mecanografiados a doble espacio. En la primera página deberá aparecer el título del trabajo, el nombre del autor(es) y la institución a la que pertenece, así como su dirección postal y electrónica. Además, en la primera página aparecerá también un abstract de no más de 125 palabras, los códigos JEL y las palabras clave. 5. Los epígrafes irán numerados secuencialmente siguiendo la numeración arábiga. Las notas al texto irán numeradas correlativamente y aparecerán al pie de la correspondiente página. Las fórmulas matemáticas se numerarán secuencialmente ajustadas al margen derecho de las mismas. La bibliografía aparecerá al final del trabajo, bajo la inscripción “Referencias” por orden alfabético de autores y, en cada una, ajustándose al siguiente orden: autor(es), año de publicación (distinguiendo a, b, c si hay varias correspondientes al mismo autor(es) y año), título del artículo o libro, título de la revista en cursiva, número de la revista y páginas. 6. En caso de que aparezcan tablas y gráficos, éstos podrán incorporarse directamente al texto o, alternativamente, presentarse todos juntos y debidamente numerados al final del trabajo, antes de la bibliografía. 7. En cualquier caso, se deberá adjuntar un disquete con el trabajo en formato word. Siempre que el documento presente tablas y/o gráficos, éstos deberán aparecer en ficheros independientes. Asimismo, en caso de que los gráficos procedan de tablas creadas en excel, estas deberán incorporarse en el disquete debidamente identificadas. Junto al original del Papel de Trabajo se entregará también un resumen de un máximo de dos folios que contenga las principales implicaciones de política económica que se deriven de la investigación realizada. — 35 — PUBLISHING GUIDELINES OF WORKING PAPERS AT THE INSTITUTE FOR FISCAL STUDIES This serie of Papeles de Trabajo (working papers) aims to provide those having an interest in Public Economics with a vehicle to publicize their ideas. The rules gover­ ning submission and selection of papers are the following: 1. The manuscripts submitted will all be assessed and may be directly accepted for publication, accepted with subjections for revision or rejected. 2. The papers shall be sent in duplicate to Subdirección General de Estudios Tributarios (The Deputy Direction of Tax Studies), Instituto de Estudios Fiscales (Institute for Fiscal Studies), Avenida del Cardenal Herrera Oria, nº 378, Madrid 28035. 3. The maximum length of the text including appendices and bibliography will be no more than 7000 words. 4. The originals should be double spaced. The first page of the manuscript should contain the following information: (1) the title; (2) the name and the institutional affi­ liation of the author(s); (3) an abstract of no more than 125 words; (4) JEL codes and keywords; (5) the postal and e-mail address of the corresponding author. 5. Sections will be numbered in sequence with arabic numerals. Footnotes will be numbered correlatively and will appear at the foot of the corresponding page. Mathematical formulae will be numbered on the right margin of the page in sequence. Bibliographical references will appear at the end of the paper under the heading “References” in alphabetical order of authors. Each reference will have to include in this order the following terms of references: author(s), publishing date (with an a, b or c in case there are several references to the same author(s) and year), title of the article or book, name of the journal in italics, number of the issue and pages. 6. If tables and graphs are necessary, they may be included directly in the text or alternatively presented altogether and duly numbered at the end of the paper, before the bibliography. 7. In any case, a floppy disk will be enclosed in Word format. Whenever the document provides tables and/or graphs, they must be contained in separate files. Furthermore, if graphs are drawn from tables within the Excell package, these must be included in the floppy disk and duly identified. Together with the original copy of the working paper a brief two-page summary highlighting the main policy implications derived from the research is also requested. — 36 — ÚLTIMOS PAPELES DE TRABAJO EDITADOS POR EL INSTITUTO DE ESTUDIOS FISCALES 2004 01/04 Una propuesta para la regulación de precios en el sector del agua: el caso español. Autores: M.a Ángeles García Valiñas y Manuel Antonio Muñiz Pérez. 02/04 Eficiencia en educación secundaria e inputs no controlables: sensibilidad de los resultados ante modelos alternativos. Autores: José Manuel Cordero Ferrera, Francisco Pedraja Chaparro y Javier Salinas Jiménez. 03/04 Los efectos de la política fiscal sobre el ahorro privado: evidencia para la OCDE. Autores: Montserrat Ferre Carracedo, Agustín García García y Julián Ramajo Hernández. 04/04 ¿Qué ha sucedido con la estabilidad del empleo en España? Un análisis desagregado con datos de la EPA: 1987-2003. Autores: José María Arranz y Carlos García-Serrano. 05/04 La seguridad del empleo en España: evidencia con datos de la EPA (1987-2003). Autores: José María Arranz y Carlos García-Serrano. 06/04 La ley de Wagner: un análisis sintético. Autor: Manuel Jaén García. 07/04 La vivienda y la reforma fiscal de 1998: un ejercicio de simulación. Autor: Miguel Ángel López García. 08/04 Modelo dual de IRPF y equidad: un nuevo enfoque teórico y su aplicación al caso español. Autor: Fidel Picos Sánchez. 09/04 Public expenditure dynamics in Spain: a simplified model of its determinants. Autores: Manuel Jaén García y Luis Palma Martos. 10/04 Simulación sobre los hogares españoles de la reforma del IRPF de 2003. Efectos sobre la oferta laboral, recaudación, distribución y bienestar. Autores: Juan Manuel Castañer Carrasco, Desiderio Romero Jordán y José Félix Sanz Sanz. 11/04 Financiación de las Haciendas regionales españolas y experiencia comparada. Autor: David Cantarero Prieto. 12/04 Multidimensional indices of housing deprivation with application to Spain. Autores: Luis Ayala y Carolina Navarro. 13/04 Multiple ocurrence of welfare recipiency: determinants and policy implications. Autores: Luis Ayala y Magdalena Rodríguez. 14/04 Imposición efectiva sobre las rentas laborales en la reforma del impuesto sobre la renta personal (IRPF) de 2003 en España. Autoras: María Pazos Morán y Teresa Pérez Barrasa. 15/04 Factores determinantes de la distribución personal de la renta: un estudio empírico a partir del PHOGUE. Autores: Marta Pascual y José María Sarabia. 16/04 Política familiar, imposición efectiva e incentivos al trabajo en la reforma de la imposición sobre la renta personal (IRPF) de 2003 en España. Autoras: María Pazos Morán y Teresa Pérez Barrasa. 17/04 Efectos del déficit público: evidencia empírica mediante un modelo de panel dinámico para los países de la Unión Europea. Autor: César Pérez López. — 37 — 18/04 Inequality, poverty and mobility: Choosing income or consumption as welfare indicators. Autores: Carlos Gradín, Olga Cantó y Coral del Río. 19/04 Tendencias internacionales en la financiación del gasto sanitario. Autora: Rosa María Urbanos Garrido. 20/04 El ejercicio de la capacidad normativa de las CCAA en los tributos cedidos: una primera evaluación a través de los tipos impositivos efectivos en el IRPF. Autores: José María Durán y Alejandro Esteller. 21/04 Explaining. budgetary indiscipline: evidence from spanish municipalities. Autores: Ignacio Lago-Peñas y Santiago Lago-Peñas. 22/04 Local governmets' asymmetric reactions to grants: looking for the reasons. Autor: Santiago Lago-Peñas. 23/04 Un pacto de estabilidad para el control del endeudamiento autonómico. Autor: Roberto Fernández Llera 24/04 Una medida de la calidad del producto de la atención primaria aplicable a los análisis DEA de eficiencia. Autora: Mariola Pinillos García. 25/04 Distribución de la renta, crecimiento y política fiscal. Autor: Miguel Ángel Galindo Martín. 26/04 Políticas de inspección óptimas y cumplimiento fiscal. Autores: Inés Macho Stadler y David Pérez Castrillo. 27/04 ¿Por qué ahorra la gente en planes de pensiones individuales? Autores: Félix Domínguez Barrero y Julio López-Laborda. 28/04 L a reforma del Impuesto sobre Actividades Económicas: una valoración con microdatos de la ciudad de Zaragoza. Autores: Julio López-Laborda, M.ª Carmen Trueba Cortés y Anabel Zárate Marco. 29/04 Is an inequality-neutral flat tax reform really neutral? Autores: Juan Prieto-Rodríguez, Juan Gabriel Rodríguez y Rafael Salas. 30/04 El equilibrio presupuestario: las restricciones sobre el déficit. Autora: Belén Fernández Castro. 2005 01/05 Efectividad de la política de cooperación en innovación: evidencia empírica española. Autores:Joost Heijs, Liliana Herrera, Mikel Buesa, Javier Sáiz Briones y Patricia Valadez. 02/05 A probabilistic nonparametric estimator. Autores: Juan Gabriel Rodríguez y Rafael Salas. 03/05 Efectos redistributivos del sistema de pensiones de la seguridad social y factores determinantes de la elección de la edad de jubilación. Un análisis por comunidades autónomas. Autores: Alfonso Utrilla de la Hoz y Yolanda Ubago Martínez. 14/05 La relación entre los niveles de precios y los niveles de renta y productividad en los países de la zona euro: implicaciones de la convergencia real sobre los diferenciales de inflación. Autora: Ana R. Martínez Cañete. 05/05 La Reforma de la Regulación en el contexto autonómico. Autor: Jaime Vallés Giménez. — 38 — 06/05 Desigualdad y bienestar en la distribución intraterritorial de la renta, 1973-2000. Autores: Luis Ayala Cañón, Antonio Jurado Málaga y Francisco Pedraja Chaparro. 07/05 Precios inmobiliarios, renta y tipos de interés en España. Autor: Miguel Ángel López García. 08/05 Un análisis con microdatos de la normativa de control del endeudamiento local. Autores: Jaime Vallés Giménez, Pedro Pascual Arzoz y Fermín Cabasés Hita. 09/05 Macroeconomics effects of an indirect taxation reform under imperfect competition. Autor: Ramón J. Torregrosa. 10/05 Análisis de incidencia del gasto público en educación superior: nuevas aproximaciones. Autora: María Gil Izquierdo. 11/05 Feminización de la pobreza: un análisis dinámico. Autora: María Martínez Izquierdo. 12/05 Efectos del impuesto sobre las ventas minoristas de determinados hidrocarburos en la economía extremeña: un análisis mediante modelos de equilibrio general aplicado. Autores: Francisco Javier de Miguel Vélez, Manuel Alejandro Cardenete Flores y Jesús Pérez Mayo. 13/05 La tarifa lineal de Pareto en el contexto de la reforma del IRPF. Autores: Luis José Imedio Olmedo, Encarnación Macarena Parrado Gallardo y María Dolores Sarrión Gavilán. 14/05 Modelling tax decentralisation and regional growth. Autores: Ramiro Gil-Serrate y Julio López-Laborda. 15/05 Interactions inequality-polarization: characterization results. Autores: Juan Prieto-Rodríguez, Juan Gabriel Rodríguez y Rafael Salas. 16/05 Políticas de competencia impositiva y crecimiento: el caso irlandés. Autores: Santiago Díaz de Sarralde, Carlos Garcimartín y Luis Rivas. 17/05 Optimal provision of public inputs in a second-best scenario. Autores: Diego Martínez López y A. Jesús Sánchez Fuentes. 18/05 Nuevas estimaciones del pleno empleo de las regiones españolas. Autores: Javier Capó Parrilla y Francisco Gómez García. 19/05 US deficit sustainability revisited: a multiple structural change approach. Autores: Óscar Bajo-Rubio. Carmen Díaz-Roldán y Vicente Esteve. 20/05 Aproximación a los pesos de calidad de vida de los “Años de Vida Ajustados por Calidad” mediante el estado de salud autopercibido. Autores: Anna García-Altés, Jaime Pinilla y Salvador Peiró. 21/05 Redistribución y progresividad en el Impuesto sobre Sucesiones y Donaciones: una aplicación al caso de Aragón. Autor: Miguel Ángel Barberán Lahuerta. 22/05 Estimación de los rendimientos y la depreciación del capital humano para las regiones del sur de España. Autora: Inés P. Murillo. 23/05 El doble dividendo de la imposición ambiental. Una puesta al día. Autor: Miguel Enrique Rodríguez Méndez. 24/05 Testing for long-run purchasing power parity in the post bretton woods era: evidence from old and new tests. Autor: Julián Ramajo Hernández y Montserrat Ferré Cariacedo. — 39 — 25/05 Análisis de los factores determinantes de las desigualdades internacionales en las emisiones de CO2 per cápita aplicando el enfoque distributivo: una metodología de descomposición por factores de Kaya. Autores: Juan Antonio Duro Moreno y Emilio Padilla Rosa. 26/05 Planificación fiscal con el impuesto dual sobre la renta. Autores: Félix Domínguez Barrero y Julio López Laborda. 27/05 El coste recaudatorio de las reducciones por aportaciones a planes de pensiones y las deducciones por inversión en vivienda en el IRPF 2002. Autores: Carmen Marcos García, Alfredo Moreno Sáez, Teresa Pérez Barrasa y César Pérez López. 28/05 La muestra de declarantes IEF-AEAT 2002 y la simulación de reformas fiscales: descripción y aplicación práctica. Autores: Alfredo Moreno, Fidel Picos, Santiago Díaz de Sarralde, María Antiqueira y Lucía Torrejón. 2006 01/06 Capital gains taxation and progressivity. Autor: Julio López Laborda. 02/06 Pigou’s dividend versus Ramsey’s dividend in the double dividend literature. Autores: Eduardo L. Giménez y Miguel Rodríguez. 03/06 Assessing tax reforms. Critical comments and proposal: the level and distance effects. Autores: Santiago Díaz de Sarralde Míguez y Jesús Ruiz-Huerta Carbonell. 04/06 Incidencia y tipos efectivos del impuesto sobre el patrimonio e impuesto sobre sucesiones y donaciones. Autora: Laura de Pablos Escobar. 05/06 Descentralización fiscal y crecimiento económico en las regiones españolas. Autores: Patricio Pérez González y David Cantarero Prieto. 16/06 Efectos de la corrupción sobre la productividad: un estudio empírico para los países de la OCDE. Autores: Javier Salinas Jiménez y M.ª del Mar Salinas Jiménez. 07/06 Simulación de las implicaciones del equilibrio presupuestario sobre la política de inversión de las comunidades autónomas. Autores: Jaime Vallés Giménez y Anabel Zárate Marco. 18/06 The composition of public spending and the nationalization of party sistems in western Europe. Autores: Ignacio Lago-Peñas y Santiago Lago.Peñas. 09/06 Factores explicativos de la actividad reguladora de las Comunidades Autónomas (1989-2001). Autores: Julio López Laborda y Jaime Vallés Giménez. 10/06 Disciplina credititicia de las Comunidades Autónomas. Autor: Roberto Fernández Llera. 11/06 Are the tax mix and the fiscal pressure converging in the European Union?. Autor: Francisco J. Delgado Rivero. 12/06 Redistribución, inequidad vertical y horizontal en el impuesto sobre la renta de las personas físicas (1982-1998). Autora: Irene Perrote. — 40 — 13/06 Análisis económico del rendimiento en la prueba de conocimientos y destrezas imprescindibles de la Comunidad de Madrid. Autores: David Trillo del Pozo, Marta Pérez Garrido y José Marcos Crespo. 14/06 Análisis de los procesos privatizadores de empresas públicas en el ámbito internacional. Motivaciones: moda política versus necesidad económica. Autores: Almudena Guarnido Rueda, Manuel Jaén García e Ignacio Amate Fortes. 15/06 Privatización y liberalización del sector telefónico español. Autores: Almudena Guarnido Rueda, Manuel Jaén García e Ignacio Amate Fortes. 16/06 Un análisis taxonómico de las políticas para PYME en Europa: objetivos, instrumentos y empresas beneficiarias. Autor: Antonio Fonfría Mesa. 17/06 Modelo de red de cooperación en los parques tecnológicos: un estudio comparado. Autora: Beatriz González Vázquez. 18/06 Explorando la demanda de carburantes de los hogares españoles: un análisis de sensibilidad. Autores: Santiago Álvarez García, Marta Jorge García-Inés y Desiderio Romero Jordán. 19/06 Cross-country income mobility comparisons under panel attrition: the relevance of weighting schemes. Autores: Luis Ayala, Carolina Navarro y Mercedes Sastre. 20/06 Financiación Autonómica: algunos escenarios de reforma de los espacios fiscales. Autores: Ana Herrero Alcalde, Santiago Díaz de Sarralde, Javier Loscos Fernández, María Antiqueira y José Manuel Tránchez. 21/06 Child nutrition and multiple equilibria in the human capital transition function. Autores: Berta Rivera, Luis Currais y Paolo Rungo. 22/06 Actitudes de los españoles hacia la hacienda pública. Autor: José Luis Sáez Lozano. 23/06 Progresividad y redistribución a través del IRPF español: un análisis de bienestar social para el periodo 1982-1998. Autores: Jorge Onrubia Fernández, María del Carmen Rodado Ruiz, Santiago Díaz de Sarralde y César Pérez López. 24/06 Análisis descriptivo del gasto sanitario español: evolución, desglose, comparativa internacional y relación con la renta. Autor: Manuel García Goñi. 25/06 El tratamiento de las fuentes de renta en el IRPF y su influencia en la desigualdad y la redistribución. Autores: Luis Ayala Cañón, Jorge Onrubia Fernández y María del Carmen Rodado Ruiz. 26/06 La reforma del IRPF de 2007: una evaluación de sus efectos. Autores: Santiago Díaz de Sarralde Míguez, Fidel Picos Sánchez, Alfredo Moreno Sáez, Lucía Torrejón Sanz y María Antiqueira Pérez. 27/06 Proyección del cuadro macroeconómico y de las cuentas de los sectores institucionales mediante un modelo de equilibrio. Autores: Ana María Abad, Ángel Cuevas y Enrique M. Quilis. 28/06 Análisis de la propuesta del tesoro Británico “Fiscal Stabilisation and EMU” y de sus implicaciones para la política económica en la Unión Europea. Autor: Juan E. Castañeda Fernández. — 41 — 29/06 Choosing to be different (or not): personal income taxes at the subnational level in Canada and Spain. Autores: Violeta Ruiz Almendral y François Vaillancourt. 30/06 A projection model of the contributory pension expenditure of the Spanish social security system: 2004-2050. Autores: Joan Gil, Miguel Ángel Lopez-García, Jorge Onrubia, Concepció Patxot y Guadalupe Souto. 2007 11/07 Efectos macroeconómicos de las políticas fiscales en la UE. Autores: Oriol Roca Sagalés y Alfredo M. Pereira. 02/07 Deficit sustainability and inflation in EMU: an analysis from the fiscal theory of the price level. Autores: Óscar Bajo-Rubio, Carmen Díaz-Roldán y Vicente Esteve. 03/07 Contraste empírico del modelo monetario de tipos de cambio: cointegración y ajuste no lineal. Autor: Julián Ramajo Hernández. 04/07 An empirical analysis of capital taxation: equity vs. tax compiance. Autores: José M.a Durán Cabré y Alejandro Esteller Moré. 05/07 Education and health in the OECD: a macroeconomic approach. Autoras: Cecilia Albert y María A. Davia. 06/07 Understanding the effect of education on health across European countries. Autoras: Cecilia Albert y María A. Davia. 07/07 Polarization, fractionalization and conflict. Autores: Joan Esteban y Debraj Ray. 08/07 Immigration in a segmented labor market: the effects on welfare. Autor: Javier Vázquez Grenno. 09/07 On the role of public debt in an OLG Model with endogenous labor supply. Autor: Miguel Ángel López García. 10/07 Assessing profitability in rice cultivation using the Policy Matrix Analysis and profit­ efficient data. Autores: Andrés J. Picazo-Tadeo, Ernest Reig y Vicent Estruch. 11/07 Equidad y redistribución en el Impuesto sobre Sucesiones y Donaciones: análisis de los efectos de las reformas autonómicas. Autores: Miguel Ángel Barberán Lahuerta y Marta Melguizo Garde. 12/07 Valoración y determinantes del stock de capital salud en la Comunidad Canaria y Cataluña. Autores: Juan Oliva y Néboa Zozaya. 13/07 La nivelación en el marco de la financiación de las Comunidades Autónomas. Autores: Ana Herrero Alcalde y Jorge Martínez-Vázquez. 14/07 El gasto en defensa en los países desarrollados: evolución y factores explicativos. Autor: Antonio Fonfría Mesa. 15/07 Los costes del servicio de abastecimiento de agua. Un análisis necesario para la regulación de precios. Autores: Ramón Barberán Ortí, Alicia Costa Toda y Alfonso Alegre Val. 16/07 Precios, impuestos y compras transfronterizas de carburantes. Autores: Andrés Leal Marcos, Julio López Laborda y Fernando Rodrigo Sauco. — 42 — 17/07 Análisis de la distribución de las emisiones de CO2 a nivel internacional mediante la adaptación del concepto y las medidas de polarización. Autores: Juan Antonio Duro Moreno y Emilio Padilla Rosa. 18/07 Foreign direct investment and regional growth: an analysis of the Spanish case. Autores: Óscar Bajo Rubio, Carmen Díaz Mora y Carmen Díaz Roldán. 19/07 Convergence of fiscal pressure in the EU: a time series approach. Autores: Francisco J. Delgado y María José Presno. 20/07 Impuestos y protección medioambiental: preferencias y factores. Autores: María de los Ángeles García Valiñas y Benno Torgler. 21/07 Modelización paramétrica de la distribución personal de la renta en España. Una aproximación a partir de la distribución Beta generalizada de segunda especie. Autores: Mercedes Prieto Alaiz y Carmelo García Pérez. 22/07 Desigualdad y delincuencia: una aplicación para España. Autores:Rafael Muñoz de Bustillo, Fernando Martín Mayoral y Pablo de Pedraza. 23/07 Crecimiento económico, productividad y actividad normativa: el caso de las Comunidades Autónomas. Autor: Jaime Vallés Giménez. 24/07 Descentralización fiscal y tributación ambiental. El caso del agua en España. Autores: Anabel Zárate Marco, Jaime Vallés Giménez y Carmen Trueba Cortés. 25/07 Tributación ambiental en un contexto federal. Una aplicación empírica para los residuos industriales en España. Autores: Anabel Zárate Marco, Jaime Vallés Giménez y Carmen Trueba Cortés. 26/07 Permisos de maternidad, paternidad y parentales en Europa: algunos elementos para el análisis de la situación actual. Autoras: Carmen Castro García y María Pazos Morán. 27/07 ¿Quién soporta las cotizaciones sociales empresariales?. Una panorámica de la literatura empírica. Autor: Ángel Melguizo Esteso. 28/07 Una propuesta de financiación municipal. Autores: Manuel Esteban Cabrera y José Sánchez Maldonado. 29/07 Do R&D programs of different government levels overlap in the European Union. Autoras: Isabel Busom y Andrea Fernández-Ribas. 30/07 Proyecciones de tablas de mortalidad dinámicas de España y sus Comunidades Autónomas. Autores: Javier Alonso Meseguer y Simón Sosvilla Rivero. 2008 11/08 Estudio descriptivo del voto económico en España. Autores: José Luis Sáez Lozano y Antonio M. Jaime Castillo. 12/08 The determinants of tax morale in comparative perspective: evidence from a multilevel analysis. Autores: Ignacio Lago-Peñas y Santiago Lago-Peñas. 13/08 Fiscal decentralization and the quality of government: evidence from panel data. Autores: Andreas P. Kyriacou y Oriol Roca-Sagalés. 14/08 The effects of multinationals on host economies: A CGE approach. Autores: María C. Latorre, Oscar Bajo-Rubio y Antonio G. Gómez-Plana. — 43 — 15/08 Measuring the effect of spell recurrence on poverty dynamics. Autores: José María Arranz y Olga Cantó. 16/08 Aspectos distributivos de las diferencias salariales por razón de género en España: un análisis por subgrupos poblacionales. Autores: Carlos Gradín y Coral del Río. 17/08 Evaluating the regulator: winners and losers in the regulation of Spanish electricity distribution (1988-2002). Autores: Leticia Blázquez Gómez y Emili Grifell-Tatjé. 18/08 Interacción de la política monetaria y la política fiscal en la UEM: tipos de interés a corto plazo y déficit público. Autores: Jesús Manuel García Iglesias y Agustín García García. 19/08 A selection model of R&D intensity and market structure in Spanish forms. Autor: Joaquín Artés. 10/08 Outsourcing behaviour: the role of sunk costs and firm and industry characteristics. Autoras: Carmen Díaz Mora y Angela Triguero Cano. — 44 —