Globalization as ‘Galton's Problem’: The Missing Link in the Analysis of Diffusion Patterns in Welfare State Development
Published online by Cambridge University Press: 24 April 2006
Abstract
Most macro cross-national studies in political science that analyze the impact of globalization on domestic policies do not sufficiently consider the methodological consequences of diffusion processes, or “Galton's problem,” as it is often referred to. I argue that globalization is a form of diffusion. Therefore it requires a shift from an exclusively functional analysis, which dominates in almost all established comparative studies in the field, to a diffusional analysis. I assume that globalization leads to a shift in focus on the part of political actors from domestic to international issues. I test this hypothesis by examining social expenditure rates of sixteen highly developed welfare states. The results indicate that globalization has become a highly influential factor since the late 1980s in contrast to the years before. In addition to the actual results presented here, the methodological approach of analyzing globalization as diffusion is relevant to other areas of comparative and international politics and may be a tool in future research.The results of this article are based on a research project, “Environmental Problems as a Global Phenomenon,” which is supported by the German Research Society (DFG; JA 638/7). I wish to thank my research assistants Katrin Daedlow and Bertram Welker for supporting me in data collection and analysis. For constructive comments on different versions of the manuscript, I thank Reinhard Wolf, Kerstin Martens, Susanne Pickel, Kati Kuitto, and above all Elizabeth Zelljadt, two anonymous referees, and the editor of this journal. Most of the revision of this article was written while I visited the Department of Political Science at UCLA. I thank George Tsebelis and James Honaker for comments and advice and Michael Lofchie for his hospitality. I also received invaluable support from Heino von Meyer and Herbert Pfeiffer from the OECD Berlin Centre. Finally I would also like to thank Michael Zürn, who motivated me with his statement that comparative country studies might become obsolete in times of globalization. Without this provocation, this article would not have been written.
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- © 2006 The IO Foundation and Cambridge University Press
Much of the macro cross-national literature in the field of political science focuses on different (and often competing) explanations and predictions of welfare state development.1
For an overview of the most current results of this research tradition, see Castles 1998; Garrett 1998; Hicks 1999; Huber and Stephens 2001; and Swank 2002.
See Cerny 1994 and 1995; Strange 1996; and Ohmae 1995.
See Milner and Keohane 1996; and Evans 1997.
In this article I argue that one source of confusion about the impact of globalization on domestic policy is the inappropriate analytical and methodological treatment of international interaction: “The one area in which the development of methods has lagged drastically behind the practical needs is in the analysis of effects of interdependence. Indeed, inadequate methodological attention to interdependence is the most damaging weakness of cross-national studies.”5
Przeworski 1987, 42. In the now classic study, Collier and Messick (1975, 1314) claim that “it is clearly time that comparative political analysis devoted more attention to the role of diffusion in political change.” This statement has been repeated since then, particularly in reference to diffusion and the impact of globalization in macro-comparative studies. Teorell and Hadenius (2004, 9) state, “To systematically assess such external diffusion or demonstration effects with large-n data is a fairly novel enterprise in the field.” For reference to the lack of methodologically informed works on globalization, see Moses 2001, 1. However, there are recent studies addressing this problem to which I will refer to later in this article.
Goldthorpe 1997, 9.
The major focus of this article is twofold. First, I contribute to the debate on the effects of globalization on nation-states by using updated statistics on social expenditure. New data are important because the effects of globalization are in flux. The direction of the trends is unclear, however, and cannot be fully comprehended at the moment. Conclusions about the rejection of a convergence of social expenditure, which many cross-national studies have identified, need to be reevaluated in light of new information. The second, more important, focus of this article is to contribute to the analytical and methodological treatment of globalization. All established studies in the field treat globalization as a functional variable without highlighting its specific character. In this article, I consider globalization as a process of international diffusion, which requires a particular analytical treatment and data analysis. Goldthorpe identifies globalization as diffusion and claims that the variable-oriented approach has the potential to deal with it by including appropriate historical and cultural variables.7
Ibid., 9–12.
The disagreement over the impact of globalization on the capacity of nation states to handle domestic policy depends on the type of policy in question. While some claim that globalization “has undercut the policy capacity of all but a few areas,”8
Cerny 1995, 609.
Mosley 2003, 12.
Goldthorpe 1997, 11.
One could postulate that even within social policy there are substantial and important differences among various sectors of social programs (see Burgoon 2001; and Castles 2002). This aspect is important, however, it would extend the analysis of this article.
The article is divided into four parts. First, by referring to the established hypotheses of “compensation” and “race to the bottom” of welfare state activity, I identify two distinct periods of welfare state development with a turning point in 1990. These periods give an indication that there is a break point in the development of welfare states, which requires special attention and analysis. Second, I show how cross-national data analysis, normally poorly equipped to conceptualize diffusion, can actually do so when globalization is analytically defined as a reorientation of policymakers and market actors. Third, I elaborate on this issue methodologically, by referring to the literature on the solution of Galton's problem. Fourth, after having thus laid out the tools for analyzing globalization as diffusion, I conduct an empirical analysis using the “globalization as diffusion” approach and interpreting the results in this light. The findings indicate that there has been a sustained shift in politics and policy in highly industrialized countries.
Convergence or Divergence of State Activity?
The relationship between globalization and state activity is hotly debated in political science.12
This debate is reflected and summarized, for instance, in Garrett 1998; Garrett and Mitchell 2001; Huber and Stephens 2001; Burgoon 2001; and Swank 2002.
Huber and Stephens 2001, 66; see also Burgoon 2001. Although this is a rough measure and needs to be controlled by pressure variables (unemployment, pensioners, economic performance, etc.), alternative and more substantial indicators for welfare state activity are only available for one or a few time points, or are in the process of being developed and are not available to this study. See, for instance, Esping-Andersen 1990; Castles 2002; Hicks and Kenworthy 2003; Korpi and Palme 2003; and Allan and Scruggs 2004.
There are three lines of argument in the debate on the impact of globalization on welfare state activity. These can be summarized by the terms efficiency, compensation, and convergence. Efficiency and compensation both address the disagreement on whether globalization leads to a decrease or increase of state expenditure. According to the efficiency argument, increasing international interaction leads to pressure on national economies, so national governments lower costs and cut social expenditure to stay competitive on the world market. As a consequence, there is a “race to the bottom” in social expenditure that may affect large welfare states more strongly than smaller ones.14
See Swank 2002, 32. Burgoon 2001 distinguishes different impacts of globalization according to the type of the regime of welfare states.
See Garrett 1998; and Rodrik 1996 and 1997.
The third hypothesis, which is related to the efficiency hypothesis but not incompatible with the compensation hypothesis,16
Hays 2003, 82, also stresses the point that convergence is independent from the race-to-the-bottom hypothesis and may stand alone as an indicator for the impact of globalization.
Gilpin 2001, 365.
Most established empirical investigations do not observe a substantial decline in government spending. Along with Swank they conclude that “it is clearly the case that by most measures of social welfare spending, programmatic characteristics (e.g., social insurance replacement rates) and public-private mixes, the welfare states of advanced democracies have not been dismantled or dramatically retrenched.”18
Swank 2002, 72; see also Garrett 1998, 76–78; and Garrett and Mitchell 2001.
Swank 2002, 119–20.
Huber and Stephens 2001, 203–21, 350–51.
The following figure shows the average social expenditure of sixteen OECD countries, and the three countries with the lowest and the highest social expenditure levels from 1980 until 2001.21
In the latest data set, the OECD changed its calculation methods so that researchers can only trace the process back to 1980. As a consequence, I cannot reanalyze the data back to the 1960s as most other studies did. Instead, I am able to continue the analysis from the mid-1990s until 2001, the latest year with available data. However, the new OECD data set does not contain sufficient data for Austria and Norway, so the analysis treats only sixteen countries. For the country selection, see fn. 50.
The variation index (standard deviation/mean) shows a continuing trend toward convergence with strong periods in the early 1980s and mid-1990s. This conclusion will also be confirmed later on in the more elaborated analysis.
As Figure 1 shows, social expenditure was relatively stable with a slight increase in the 1980s. This increase was mainly caused by the moderate increase of the countries with the lowest social expenditures. However, the picture changed fundamentally during the early 1990s. From 1990 until 1993, social expenditure increased substantially in OECD countries. In particular, the countries with the highest expenditures increased their share dramatically. During the late 1990s, social expenditure changed once again: between 1993 and 2000 the countries with the highest expenditure reduced it substantially, which led to a decrease in the OECD-wide average during this period after the substantial increase between 1990 and 1993. However, in contrast to the high-spending countries that increased their expenditure in the early 1990s but then decreased it to the level of 1990 again, the low-spending countries increased the share of social expenditure so that in 2000 the gap between the highest and lowest social spender had become smaller. In 2001 this downward trend came to an end.

Development of social expenditure as percentage of the gross domestic product between 1980 and 2001 in 16 OECD countries
How can one interpret these findings in light of the three hypotheses above? First, there are two clearly distinguishable periods: the stable 1980s, where social expenditure did not change much, and the turbulent 1990s with its volatility. The 1980s are characterized by a stable development without clear indicators for any hypotheses. Therefore, it is not surprising that all established studies whose data analyses end in the early mid-1990s conclude that there is no clear confirmation of the efficiency hypothesis, and that if globalization had any effect, it can be explained with the compensation hypothesis. The updated OECD data demonstrates, however, that such conclusions are likely the result of temporal selection bias: if data from the later 1990s is included, those conclusions may not follow.
If there has been a substantive shift in the policy and politics of industrialized countries from the 1980s to post-1990, and if globalization is a diffusion process in which international interaction and orientation intensifies, researchers need concepts and measurements to grasp this change and interpret the empirical results in this light. If this hypothesis is correct, then one can expect a diffusion variable to have little or no effect in the 1980s, but a significant one in the 1990s. But how can one interpret globalization as diffusion in this light?
Theoretical Statement: Globalization as Reorientation
The literature concerning the impact of globalization on domestic policy is ambiguous. Functionally, it appears that economic openness led to an expansion of the welfare state in the past23
and a retrenchment in current years.24See Pfaller, Gough, and Therborn 1991; and Drache 1996.
Katzenstein 1985. In fact, the correlation between export and import rates, on one hand, and the size of a country (measured in population), on the other, is high and significant in the 1970s, 1980s, and 1990s.
Pierson 1994 identifies two logics for welfare state development in his case studies: one for welfare state expansion, and another for welfare state retrenchment. The analysis here aims to identify a similar shift in policy on the aggregated level of analysis.
There is currently no one theory of mechanisms of globalization: the best available are “lines of argument,” as Huber and Stephens phrase it.27
Huber and Stephens 2001, 14–17.
For an overview of these approaches, see Simmons, Dobbin, and Garrett forthcoming.
See, for instance, Rogers 1995, for learning through communication; and Pfeffer and Salancik 1978, for organizational adjustment under conditions of resource dependence. These approaches go well together with emulation (following leaders, epistemic communities, psychological proximity). However, because I define globalization in primarily economic terms, I may not consider “governmental learning” as much as structural adjustments (see for this distinction and concepts Levy 1994, 296–98). It is difficult to disentangle these different influences in an aggregated analysis and case studies may shed more light on the specific processes.
In the past, governments could spend lavishly on public programs to reconcile the conflicting demands of labor and business. However, such expansionary programs produce expectations among financial asset holders that future inflation rates will drift above the rates of the country's main trading partners. This perception triggers capital outflows and foreign currency speculation…. Governments must reverse their policies to arrest future outflows.”30
Kurzer 1993, 12. This assumption refers to rational learning and policy convergence (Jacoby 2000, 9, 24) and may meet the demand of Moses (2001, 10) that “students of globalization need to employ a method that allows us to evaluate the motives and objectives (both explicit and implicit) of policy-maker and market actors.” Though if Moses denies that large-scale cross-national statistical analysis has the potential to address globalization, the procedure presented in this article may be a remedy for some of his concerns.
This conclusion supports the argument that governments redirect their orientation in light of globalization. Whereas domestic actors and conditions were the main reference point in the past, and international aspects were subordinated to domestic ones, this whole dynamic reversed in the period of increasing globalization: international factors became a major driving force for policy orientation and domestic factors became subordinated to them. The universal decline of corporatist arrangements in the OECD countries may support this view.31
See, for instance, Siaroff 1999; and Wallerstein and Western 2002.
In order to specify the causal links and importance of diffusion among the OECD countries, I pursue three models through which to identify when and through which mechanisms diffusion became salient in the welfare policies of highly industrialized countries. It is important to identify the periodicity of diffusion moments to better understand diffusion processes.32
This aspect has often been neglected in research of diffusion and globalization. As the research on international diffusion develops, researchers should more systematically consider the periodicity of diffusion. Are there historical conjunctions that give raise to diffusion processes? Are diffusion processes more likely after certain events such as regime changes and wars? Which factors hamper diffusion?
Quinn and Inclán 1997, 807 (emphasis in the original).
See, for instance, March and Olsen 1976; Pfeffer and Salancik 1978; and DiMaggio and Powell 1983. Aldrich 1999, 206–16, stresses the importance of periodicity in the context of organizational change. See also, for the impact of international factors under conditions of uncertainty, Downs and Rocke 1995. This activity may also lead to herd behavior that may reinforce diffusion. See Banerjee 1992.
For all three models, one may predict a policy of the “focus country” by taking as an explanatory variable the same policy in that nation's trading partners.35
A “focus country” is the country whose dependent variable is to be explained. Although focus on the main trading partners can be only a proxy for empirical analysis, it can serve as an indicator for a test of the hypothesis that policy orientation has changed.
Methodological Statement: Globalization as “Galton's Problem”
In methodological terms, diffusion cannot be explained by characteristics of states acting independently, but rather by the interactions between and among states. How to analyze diffusion as a process has long been considered as a methodological problem in the social sciences. The classic example is a nineteenth-century study by Tylor that examined the relationship between marriage laws and descent patterns in tribal cultures using data from a cross-cultural sample.36
In a critique of the paper, Sir Francis Galton noted that the correlation found by Tylor might have been a result of contacts between the cultures in the sample and not findings based on truly independent cases. Galton noted: “It might be that some of the tribes had derived [the traits being studied] from a common source, so that they were duplicate copies of the same original.”37Ibid., 272.
Most often the solution of the Galton's problem is to avoid it altogether by selecting cases that have no or limited contact with each other. However, this sampling solution is not appropriate for the study of the OECD countries.38
The sampling solution aims to create a sample of cases that is free of diffusion. Geographical proximity is highly correlated with interaction and diffusion. Therefore, units in the sample should be selected from separate geographical areas. The “most different systems design,” as advocated by Przeworski and Teune 1970, can also be considered a solution to “Galton's problem,” but it is more suitable for research dealing with human behavior than for research dealing with “middle range theories” that are most pertinent to the study of OECD countries.
This can be done with so-called additional variable solutions. One of these, still relying on pure functional logic, includes variables that measure globalization at the level of nation states. This solution has been favored by Goldthorpe and most others in the field. Established variables with respect to economic globalization are trade openness, foreign direct investments (FDI), interest rate differentials, portfolio investment inflows, or an index of financial openness. Including a sample of these variables is an established strategy in almost all studies of welfare policy that measure the nexus between globalization and politics. If globalization is to be treated as diffusion, however, measuring only the functional impact is insufficient.
Another additional variable strategy, originally advocated by Naroll,39
Naroll 1973, 984–86.
Ross and Homer 1976, 11.
This idea of analyzing diffusion through linking countries to each other has been forgotten for the last quarter-century but has popped up again at the center of recent research in comparative political science dealing with diffusion.41
I would like to thank one reviewer of a former version of this article for pointing out to me research in progress that uses the same logic of analysis as the older anthropological studies. Although these current approaches are statistically much more sophisticated than the anthropological studies cited in this article, they do not refer to the intellectual root of dealing with the Galton's problem in anthropology. See, for instance, Simmons and Elkins 2004; Basinger and Hallerberg 2004; Franzese and Hays 2004; and Beck, Gleditsch, and Beardsley 2005.
Mosley 2003, chap. 3.
In the context of economic globalization, trade is an appropriate variable, as it is an indicator of interaction among countries, and interaction in turn may be considered a catalyst for diffusion. In contrast to other variables such as cultural or geographical distance, which are symmetric for each case (New Zealand is as far away from Australia as Australia is from New Zealand), trade can be used to measure the relative importance of another state by its proportion of the focus country's total trade. This weights large trading partners more heavily than smaller ones and is not mutually equal: the United States may be important for Panama, but Panama is a relatively trivial trading partner for the United States. This situation can be mapped by an N × N spatial weights matrix labeled W. Analytically this can be considered a “spatial lag,” which is in principle analogous to the temporal lag of a conventional lagged dependent variable. However, instead of lagging the value of the dependent variable one unit in time, one lags it one unit in space. For country i the spatial lag is:

where W is the spatial weights matrix and yj is the dependent variable for country j. This results in a matrix of ρWy, where ρ (rho) is the spatial autoregressive coefficient to be estimated, W is an N × N weighting matrix, and y is an N × 1 vector of values of the dependent variable. The following equation includes the dependent variable of the linked country as an independent variable:

The term ε is the vector of errors for all units, and x is the vector of nondiffusion regressors with the coefficient β. This model can easily be transformed for time-series cross-section (TSCS) analysis. However, for TSCS analysis one can also include a time variant term, making W to N × N × T and y to N × T:

One can estimate such a model in several ways.45
See Franzese and Hays 2004. I do not consider spatial error models here because they treat spatial dependence as a nuisance that biases the interpretation of the parameter of interest. When spatial dependence itself is the focus of research, as in this article, spatial terms must be included as regressors in the model.
Ibid. 43; pp. 19–23 lay out the problem and the conclusions for their recommendations.
There are other ways to deal with this model, however. First, one may use maximum likelihood (ML) to estimate ρ and β that specifies the endogeneity of Wy. The S-ML model, however, underestimates the strength of interdependence, particularly in small-N studies. Furthermore S-ML models can be difficult to implement.47
Both articles that deal with the issue of spatial lags in political science support this conclusion: Franzese and Hays 2004, 15; and Beck, Gleditsch, and Beardsley 2005, 29.
An Application of the Analysis of Globalization as “Galton's Problem”
Estimating the effect of globalization on national policy requires a model that includes both international factors and factors that determine domestic policy. For that I use the annual social expenditure rates of sixteen OECD countries as the dependent variable.50
These are the EU member states (except Spain, Portugal, Greece, Luxembourg, and Austria) along with Switzerland, United States, Canada, New Zealand, Australia, and Japan. Austria and Norway were excluded because no sufficient expenditure data is available for the 1980s. Imputing the data for these two countries, as similar investigations do, is problematic in this case because predicted values would smooth the trends for the 1980s, which in turn would bias the results in favor of my argument. However, analyses conducted with these two countries came to similar results. I excluded Spain, Portugal, Greece, Iceland, and Luxembourg because they were missing numerous data, and because they were not considered in most of the other established studies in the field.
Related analyses of social spending have been conducted, for instance, by Castles 1998; Huber and Stephens 2001; Garrett and Mitchell 2001; and Swank 2002.
Resource mobilization approaches have been applied to the development of the welfare state in various ways. Some authors see resource mobilization of the working class as a determining factor in the development of the welfare state.52
Pioneering studies of this approach can be found in Stephens 1979; and Korpi 1983. Recent examples include O'Connor and Olsen 1998; Garrett 1998; and Korpi and Palme 2003.
Prominent studies in this area are Hibbs 1977; Castles 1982; Garrett 1998; Schmidt 1996 and 2002; Allan and Scruggs 2004.
See Wilensky 1975; and van Kersbergen 1995.
See Wilensky 1975; Esping-Andersen 1990; and van Kersbergen 1995.
Under institutional approaches, characteristics of the polity of the state are the focus of analysis. In this view, state structures and institutions matter. Different authors emphasize different aspects of this argument: however, some focus on government structures (presidentialism versus parliamentarism) and veto points,59
while others emphasize inclusiveness of election systems.60 In the field of welfare state research, interest intermediation is a crucial variable. Often measured on a continuum from pluralism to neocorporatism, it appears to have a significant impact: countries with a high degree of corporatism support an extensive welfare state more strongly than pluralist states61Among many, see Hicks 1999; and Wilensky 2002.
One of the most sophisticated institutional approaches is Lijphart's concept of patterns of democracy.62
Lijphart includes many key variables such as the inclusiveness of the election system, presidentialism and parliamentarism, neocorporatism, and so on, in an index that ranges from majoritarian to consensus democracy. Even if Lijphart states that consensus democracies rather than majoritarian democracies lead to a “kinder and gentler society” (which would imply a larger welfare state and less social cuts in times of retrenchment), there is not much evidence for this conclusion within current welfare state research.63 Another problem is the use of his approach for empirical analysis. Lijphart's complex variable is difficult to measure over time: one is left with substitutes such as the effective number of parties variable.Institutional variables are often considered to be the basic indicator of the strength of domestic factors. Some think their increasing importance indicates the low influence of globalization on domestic policies: “If anything, cross-national variations in democratic political institutions become more (not less) important in structuring domestic policy choices as we move into the contemporary era of global markets.”64
See Swank 2002, 89; see also Armingeon, Beyeler, and Binnema 2001, 12.
The effects of economic openness or globalization have been included in the models in different ways. First, I employed the established variables: trade = (import + export)/gross domestic product (GDP) and Quinn's index of the liberalization of financial flows (financial openness).65
I also experimented with data for foreign direct investment and capital flows, but these did not alter the substantive results when used as variables, and they confirmed the trends for trade and openness. Because there were missing data for these variables, I excluded them from the final analysis.
This is true for instance for Garrett 1998; Huber and Stephens 2001; and Swank 2002. For simplification I use the term European Union (EU) for all time periods and do not refer to the “European Community” before 1993.
See Leibfried 1992; Falkner 1998; and Hays 2003.
In order to identify the strength of diffusion, I constructed a diffusion variable by linking countries in the above-described manner, according to the major trading partners of the focus country. This was done by weighting the social expenditure of the sixteen countries according to their share of the total trade (imports and exports combined).68
The weighting is limited to the sixteen countries under investigation because I have uninterrupted time series data for social expenditure only for these countries. Even if some countries may have stronger trade exchanges with countries outside this group, trading is strong among OECD countries. Other studies also limit the number of investigated trading partners for practical reasons. Simmons and Elkins 2004, 179, use the weighted mean of the ten most important partners. The weighted mean of the sum of the sixteen countries (which resulted in fifteen trading partners for each country in the sample since the focus country itself is excluded as trading partner) has been divided by fifteen. I have not pursued other ways of measuring diffusion (culture, geographic distance, etc.) because the focus of this article lies in the linking technique. Including regional dummy variables, such as the families of nations, led to severe multicollinearity that cannot be controlled for without extending the article substantially.
One alternative reaction to international pressure that is not grounded in policy diffusion but needs to be controlled for is external shock. Diffusion connotes international interdependence in policymaking and is distinct from common policy responses to correlated external shocks. An example is a global recession, in which government deficits increase across the OECD. This common response (deficit spending) to a common external shock (global recession) is not diffusion.69
I am indebted to one of the reviewers for this aspect and example.
I experimented with economic growth, inflation, and unemployment individually and in combination; once for all the OECD countries and once for the most important (Group of 7 countries). The aggregated misery index—though theoretically controversial—had the clearest statistical impact. Therefore I use this index for the variable economic shock.
Finally, I included some control variables into the model. As Hicks and Zorn indicate, social expenditure is dependent on pressure.71
Pressure has been taken into account by including the unemployment rate (unemployment) and the number of elderly people (pension). Even if both expenditures are a target of cuts (and are variables of welfare state retrenchment) they have significant effects on social expenditure. Furthermore, these two variables are indicators for the validity of either the compensation or efficiency hypotheses. I also include economic growth72I do not use the level of GDP because this variable may be a nonstationary “unit root” (Beck 2001, 280). See also below for further discussion of this problem in the context of research on social spending.
Summary statistics, hypothetical directions, and sources for variables included in the analysis

Specifying the Model
The analysis was conducted in the standard tradition of TSCS data with panel-corrected standard errors (PCSE) and a for first-order autoregression correction. I also included a full set of country and year dummies, which is particularly important when analyzing welfare states.73
For the inclusion of country and year dummies in welfare state research, see Garrett and Mitchell 2001, 162–65. The downside of including fixed-effects and year dummies is that one can underestimate the effects of relatively invariant variables such as corporatism and use many degrees of freedom for these variables.
See Maddala 1999; and Achen 2000. Kittel and Winner 2005 point out that a lagged dependent variable in the model with fixed effects renders meaningless results (see also Baltagi 2001, 129–30).
Beck, Gleditsch, and Beardsley 2005, 32, point out that spatial lags are not so important in models that include a lagged dependent variable because that variable already contains prior spatial effects. They assume that spatial lags have a strong impact in TSCS models that do not include the lagged dependent variable in the specification. Therefore, I ran all models with a lagged dependent variable for comparison. The results for diffusion were identical in terms of statistical significance in all the models except in Model 1, where the diffusion variable remained insignificant. However, other variables changed quite drastically: the coefficient for unemployment was always negative, and the one for impact of parties (strength of left parties and strength of centric Parties) was stronger in the models with a lagged dependent variable. It was also positive before and negative after the breaking point (except for retrenchment).
Another methodological aspect that has received insufficient attention in social expenditure research is the problem of nonstationary data (unit roots). Apart from the substantial interest to test if the results are robust as much for short-term as for long-term effects, this analysis is also guided by methodological considerations. In general, analysis of welfare state spending might be plagued by nonstationary data. Although this problem has widely been ignored in the field and is hardly researched in social sciences,77
Beck (2001, 280) points out: “We know little about nonstationary TSCS data.”
Kittel and Winner 2005. In my models, unemployment, pension, trade, and, above all, the dependent variable social expenditure are nonstationary data. I applied the test developed by Levin and Lin, and by Im, Pesaran, and Shin to identify nonstationary data; see Banerjee 1999; Levin, Lin, and Chu 2002; and Maddala and Kim 1998.
The last methodological concern is modeling of periodicity. Based on other studies in the field I use dummy variables to identify the impact of break points.79
For a similar analysis, see Allan and Scruggs 2004, 505.
I have taken the break point for retrenchment from Hicks and Zorn 2003, 35. Years before the break point, that means years before the process of retrenchment began, I have coded 0 and afterwards I have coded the variable 1. The break points is 1982 for Denmark, Germany, Ireland, Italy, and the United States; 1983 for Sweden; 1984 for Belgium, France, Japan, the Netherlands, and the United Kingdom; 1985 for Australia; 1987 for Canada; 1988 for Switzerland; 1991 for New Zealand; and 1992 for Finland. On average retrenchment began in 1985 for the sixteen OECD countries.
The break point for the openness threshold has been defined, according to Quinn 1997 data, to be from 1960 to 1993. I used the year when the score reached a level above the total mean for each country. This means that the break point was 1981 for Germany; 1983 for the Netherlands; 1989 for Canada, Denmark, New Zealand, Sweden, and the United States; 1990 for Australia, Belgium, Finland, and Italy; 1991 for France; and 1992 for Ireland and Japan. The United Kingdom and Switzerland had no break point because they reached their respective value already in 1979 and 1980. Taking the average of the OECD countries, financial openness exceeded the mean in 1988.
The beginning of the period of turbulence has been defined by the mean of the absolute change rate in social expenditure for all sixteen countries. The mean is 0.475 for the total period from 1980 until 2001; 0.359 for 1980 until 1989; and 0.552 for 1990 until 2001. 1990 was the first year where the mean exceeded the double value of the total average (0.994). Therefore, 1990 has been taken as a break point for all the countries. Using individual break points for the countries according to the mentioned principle for retrenchment and financial openness has less clear though comparable results. However, theoretically the collective break point is more reasonable because it captures the idea of herd behavior.
Modeling structural breaks and using weighted spatial lags may conflate the impact of these two concepts on social expenditure. However, fixing one of these estimated coefficients (either by not using structural breaks or not weighting the spatial lags) would lead to similar results: estimates without structural breaks are shown in Models 1 and 5. Those with fixed spatial weights (not shown here) also do not alter the results substantially. Structural breaks and changes in the patterns of trade may be correlated. This, however, would be an interesting issue for further research.

Findings and Interpretations
I present the findings of seven different models, four concerning the level of social expenditure and three dealing with the changes. Starting with the basic model (without any structural break) I then consider impacts before and after the various break points. Model 1 shows the significant positive impact of unemployment and economic shocks. It identifies significant negative relationships for trade, eu membership, and growth. Countries with a high number of effective parties (an indicator for consensus democracies) have lower social expenditure rates. Parties (strength of leftist parties and strength of centric parties), corporatism, financial openness, and the share of elderly (pension) have no significant effect. In general, the results support the findings of other studies in the field, with the exception of the low impact of the elderly. Even the significance of diffusion does not depart from the findings in the few other studies that include this variable in their model specification.84
However, if one includes a lagged dependent variable into the model (not shown here), the diffusion variable is insignificant. The reason for this may be that the lagged dependent variable already contains prior spatial effects and therefore the spatial lag provides less independent information in such a model.85For details see explanation in fn. 76.
The impacts on social expenditure among sixteen OECD countries (1980–2001)

There are some common features among all three models; for instance, the models show that consensus democracies (effective number of parties) changed their impact on social spending most dramatically. In all three models, the relationship was negative before and positive after the break point, meaning that consensus democracies pursue a stronger welfare state policy than majoritarian societies after the break points. This again indicates that they oppose cuts in social expenditure more vehemently than majoritarian democracies. This may be because of the fact that consensus democracies have more veto points and are therefore slower in adjusting their policies. However, it could also be that they simply pursue a more expansionist welfare policy. This interpretation of the data refers to the prebreak level (where the coefficient is significantly negative) and the postbreak effect (where it is significantly positive). However, the net effect from the effective number of parties is still negative.86
For the coefficient of the effective number of parties, for instance, the calculation is: −0.804 + 0.560 = −0.244.
A striking finding is the impact of eu membership after the break points. All three models depict a clear negative effect, meaning that eu membership is associated with cuts in social spending after the break point. The impact of eu membership was not specific beforehand, as postulated in the general hypothesis for the impact of international factors. All models also confirm the results of other studies about the weak impact of parties on levels of social expenditure.
Concerning diffusion, the retrenchment model deviates from the other two: the diffusion variable is insignificant both before and after the beginning of the retrenchment process. The retrenchment model also differs from the other two models in that domestic factors remain and become more important than international factors after the break point. This indicates that the first wave of retrenchment in welfare states is not caused by globalization. There are clear indicators that retrenchment was mainly initiated by domestic issues (unemployment, pension, growth (negative)) as suggested by Hicks and Zorn.87
Hicks and Zorn's (2003) indicator for the second retrenchment phase, however, reaches different results. The findings of that model come close to my two models in that international variables, including diffusion (but also financial openness) become significant after the second wave of retrenchment.
The other two models are quite similar in their results. Both show clearly that diffusion was insignificant before the break point and significant afterward. trade became negatively significant after the break point in both models. This together with the significant negative impact of eu membership shows the increasing importance of international embeddedness for cuts in welfare spending. Considering the relative impact of each variable on the level of social expenditure by comparing the standardized coefficients reveals that the diffusion variable has the highest (turbulence model) and second highest impact (openness model) and trade has the third and second highest.88
The strength of the diffusion variable indicates that one does not have to worry that this variable is inflated. In addition, the included exogenous variables have substantial explanatory power in the model. This is particularly true for the common shock variable.
Both models also indicate a change in the impact of external shocks. Before the break point, increasing unemployment and inflation in the OECD countries resulted in increased spending; afterward the impact of economic shocks decreased significantly. However, even if it lost about 10 percent of its effect in Model 3 and around one third in Model 4, the overall impact of economic shocks is still positive. Even though national unemployment rates and social spending are positively correlated, which documents the prevailing pressure of unemployment on social spending levels, the significantly reduced impact of the international variables (trade, economic shock, eu membership) supports the efficiency hypothesis.
In contrast to Model 2, Models 3 and 4 are dominated by the increasing negative effect of the international variables on social expenditures. diffusion becomes a significant variable after the break points. Pressure on the welfare state (unemployment) still leads to higher social spending levels. Partisan politics (strength of leftist parties and strength of centric parties) has only limited long-term effects, and the impact of institutional variables (effective numbers of parties) on social expenditure changes drastically. But what are the short-term effects of these variables on social expenditure?
In order to analyze this question, I consider the changes in social expenditure before and after the breaking points in the two models where the diffusion variable increased in significance. The models for change are identical to the level models except for the fact that I included a lagged dependent variable (Δsocial expendituret−1) into the model89
The use of a lagged dependent variable in a first difference model is appropriate because it does not dominate the model and is an indicator for path dependency and convergence.
Considering changes in social expenditure makes it feasible to include the concept of veto points. The theoretically superior data set of veto players by Tsebelis 2002 does not cover all the years for some countries of interest here. In addition, it does not contain information about the United States at all. However, an analysis with the data from Tsebelis reaches similar conclusions. The model of first difference also differs from the models of level in that I did not include a set of country dummies. While the F-test for year dummies indicates the significance of year effects, this was not true for the set of country dummies.
The results of the basic Model 5 for the differences vary from the level model in that only two variables are significant: the lagged changes of social expenditure (Δsocial expendituret−1) and common shocks. In contrast to the basic level model, the diffusion variable is insignificant. However, when one splits the data according to the two break points for diffusion, the picture changes completely. Again international factors appear to have become much more important after economic openness reached a threshold point and social spending became turbulent. This development confirms the impact of one key variable: diffusion was insignificant before the break points but became highly significant thereafter. Therefore, results concerning the increasing impact of diffusion are statistically robust.
The impacts on changes in social expenditure among sixteen OECD countries (1980–2001)

A comparison of the standardized coefficients shows clearly the significant impact of the diffusion variable: in Models 6 and 7 diffusion is the variable with the highest impact. Another international variable, trade, is third in both models. In contrast to the level models, the first difference models show that pressure has a significant but negative correlation with changes of social expenditure after the respective break points. This time the impact of the amount of elderly (pension) is particularly high (second in both models). The relative strength of impact of domestic variables (corporatism, veto points, and, above all, party effects) is considerably lower. In Model 6 one might be concerned that the diffusion variable is inflated. The standardized coefficient is almost twice as high as the second largest coefficient.91
In Model 7, the standardized diffusion coefficient is one-third higher than the second highest standardized coefficient. That means the diffusion variable is higher in the first difference models than in the level models. This is probably due to the fact that first difference models generally have a lower R2 than level models, and that the common shocks are less perfectly modeled than in the models of levels.
Other results are also worth commenting on: short-term effects of previous social expenditure change signs before and after the breaks. That means there was a continuing expansion of the welfare state before the break points and a continuing reversal trend in social expenditure thereafter. The net impact, however, was still positive. In this respect, the two break points are real watersheds in the development of the welfare state. This result can also be interpreted to show a trend of path dependency before the break point and one of convergence afterward.92
For a similar interpretation of a lagged dependent variable in a first difference model, see also Allan and Scruggs 2004, 507. The differences in significant positive and negative results before and after the break points prevail when we remove all variables from the analysis except the lagged dependent variable, which means that there is an unconditional path dependency before the break point and unconditional convergence after the break point.
The analysis of short-term effects reveals another interesting finding. Strikingly, the impact of parties that once supported welfare state spending is reversed; after the turning points these parties are negatively associated with social spending. This result is clearly significant for leftist parties and is only slightly below the level of significance for centrist parties in Model 6. Though the party effects are small in comparison to all other effects, this finding sheds some doubts on the results of recent studies that conclude that left parties do not cut welfare spending.93
Allan and Scruggs 2004, 505–7. However, their conclusions refer to more specific aspects of welfare policy and might not be comparable to general social spending changes.
Not surprisingly, corporatism and veto points appear to hinder cuts in social expenditure. Many veto points associated with consensus democracies obstruct speedy welfare retrenchments. However, their relative impact, though more important than party effects, is clearly less than that of international factors. That said, it is surprising that common ecomimic shocks have no significant impacts in the Models 6 and 7, though they were a dominant factor in Model 5.94
This could be explained by the fact that the diffusion variable takes its explanatory power from the common shock variable, as described by Franzese and Hays 2004, 43.
Summary of main empirical results

Conclusions
The results of this study show that international factors have become an increasingly important influence on domestic policy over time in the industrialized world. This is true no matter how one measures globalization, whether in terms of trade intensity or institutional factors such as EU membership. Using diffusion as a proxy for globalization processes, the empirical analysis confirms globalization's influence on politics and policies. This finding in turn carries with it serious methodological implications.
An appropriate analysis of the impact of globalization must take into account causal relationships. Functional analysis is the dominant strategy of most macro cross-national studies in comparative politics, but it is not the only game in town. This has been known at least since Galton's objections to Tylor's study, but unfortunately comparativists ignored the role of diffusion too often. The impact of diffusion ought to be an important factor, particularly for any analysis performed in the tradition of the most similar systems design.
Previous analyses of globalization have concentrated on its functional consequences and have produced ambiguous findings. Treating globalization as a form of diffusion shows that it has increased significantly during the past two decades. This in turn illustrates a new logic of politics of industrialized nations: international, not domestic, imperatives increasingly determine social policy. When one evaluates the impacts of three potential break points, it becomes clear that retrenchment, which took place before the mid-1980s for most of the OECD countries, is not correlated with diffusion and globalization. The other two break points come to rather similar conclusions: they indicate that diffusion (and therefore globalization) became relevant after the respective break points. However, one cannot be sure whether increasing economic openness or turbulences in social spending are responsible for policy changes. It could also be that domestic retrenchment policies had a long-term effect and interacted with increasing openness that in turn led to turbulent social spending. As mentioned above, statistical analysis cannot answer these questions but gives hints for further analysis. Even though my results cannot offer an unequivocal answer regarding the character of the break, the analysis shows that something happened in the late 1980s that altered policies in highly industrialized countries. This change is most likely related to a reorientation of policy priorities from domestic toward international concerns.95
An analysis of party manifesto data—in Budge et al. 2001—shows that political parties increased their international orientation and that a neoliberal discourse gained importance during the 1980s and 1990s. These indicators support the assumption that a reorientation has taken place in the OECD countries. However, the causal relationships are complicated, and future research is needed to shed more light on this process.
This conclusion stands in contrast to Swank's claim (see fn. 19) that there is no systematic impact of globalization on welfare policy change. However, the systematic impact is diffusional rather than functional.
The findings of this article also challenge the claim that domestic politics have no impact on policies anymore. The situation is far from postulating the end of the nation-state or the idea that policy is only created at a level beyond or above the nation-state. An entirely functional analysis is blind to the impact of diffusion, but an analysis that postulates the primacy of diffusion is unable to identify and specify functional impacts. Only a combined analysis of function and diffusion is able to identify the relationship and relevance of both factors.97
From a methodological point of view it must be emphasized that many aspects need further attention, particularly the way of estimating tolerable amounts of simultaneity bias and the modeling of common shocks in first difference models. While TSCS analysis of level data is saturated, implying lower risk of simultaneity bias, this is not so for first difference models. The latter, however, are appropriate to many research questions in social sciences with trending variables to avoid the problems of nonstationarity.
What kind of change do increasing importance of international factors and diffusion indicate? The findings of this article clearly confirm a trend in social expenditure that favors the “race to the bottom” hypothesis. The concept of diffusion, however, merely implies that individual governments became similar to each other in their social spending. It does not imply a universal decline of the welfare state. In principle, diffusion can also work in the other direction.98
Factors that may influence the direction of welfare state development are beyond the scope of this article. Public discourse and the strength of political ideologies, for instance, are influential in addition to structural changes. In the time after the break points, a neoliberal discourse replaced a stronger Keynesian discourse of the postwar period that even affected left parties. See, for example, Hall 1993; and Jahn and Henn 2000.
Since internationalization is expected to increase in the future, comparative studies should include a measure of the degree of diffusion as a standard; otherwise, those studies suffer under a severe omitted variable bias. This article is a contribution to such future analyses and hopes to stimulate further debate. Considering globalization as “Galton's problem” and using the available solutions for it may be a way of improving research skills concerning the analysis of diffusion and may help researchers to better understand development processes in modern societies.
References
REFERENCES

Development of social expenditure as percentage of the gross domestic product between 1980 and 2001 in 16 OECD countries

Summary statistics, hypothetical directions, and sources for variables included in the analysis

The impacts on social expenditure among sixteen OECD countries (1980–2001)

The impacts on changes in social expenditure among sixteen OECD countries (1980–2001)

Summary of main empirical results
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