The Wage Effects of Immigration and Emigration

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The Wage Effects of Immigration and Emigration Frederic Docquier (UCL) Caglar Ozden (World Bank) Giovanni Peri (UC Davis) December 20 th, 2010 FRDB Workshop

Objective Establish a minimal common framework (consensus model), common data and a common approach to calculate the national wage effect of migration flows across countries. New: let s consider the effect of emigration as well. Average wage effects on non-mover- is an important aggregate number (labor market surplus) Effects on more and less educated- basis for distributional effects Short-run effect and long run effects accounting for capital adjustment Goal: how much does the disagreement on estimated parameters affect the overall calculation of wage effects across countries (Borjas vs. Card)

Motivation Such an approach allows us to summarize the debate of the last decade 1) Direct reduced-form estimate can only measure elasticity and partial effects. We need a structure (cross effects) to evaluate total wage effects of immigration. 2) Immigration and emigration are changes in supply, distribution and possibly types of skills: let s evaluate them together in a consistent model. 3) How large is the disagreement among economists in calculating these effects: we can evaluate them for a range of elasticity values.

Advantages and Limits of this approach 1) Account for own-group and cross-groups effects: general equilibrium wage effects. 2) Avoid the issue of endogeneity of immigrants by keeping all the other wage determinant fixed. 3) Allows us to compare the total wage effects of migrants over a certain period relative to the case of no immigration or emigration 4) However, we need some structure and a range of value for the parameters. However we choose a simple and very widely used framework.

Focus: Immigration and Emigration The perception of the scale and of economic effects of immigration in the public opinion may be exaggerated E.g. the average American thinks that 35% of US pop is foreign born and Europeans estimate is 24% shares = 14, and 10%, respectively. Emigrants, on the other hand, are much less visible and in Europe not much discussed in the policy debate and news. The perception is that the flow is much smaller and hence economically less significant

Popular perception and Public Discourse in Europe Europe has received large masses of uneducated workers, they depressed wages, worsened skill-intensity of the economy, hurt native, especially the less educated. Europe may be loosing some of the high skilled workers but those numbers are small and do not matter much for the national economies. Policy implications: We should discourage/regulate and select immigration, while emigration is a non-issue.

Expectations Immigration hurts national wages, especially those of less educated workers, especially in the short-run but by how much? Emigration has essentially a negligible effect. Possibly it helps wage in the short run, by increasing capital intensity. The two effects are very different

Results We update the only good quality data we have on immigration, emigration and net migration from national census, by education groups (update of Docquier and Marfouk 2005). Data limited to 1990-2000 For most OECD countries: Immigrants 1990-2000 were more skilled than the average nonmigrants. Emigrants were also more skilled than the average non migrants. Our model imply a positive contribution of immigrants to average wages, as well as to wages of unskilled, through complementarities and positive externalities of schooling in the long run. It also implies a negative contribution of emigration (of comparable size) to average wages and wages of unskilled. For EU countries these two effects are not negligible and similar in size.

Immigration 1990-2000 as % of nationals Emigration 1990-2000 as % of nationals Low Education High education Low Education High education U.S. 5.8 4.4 0.0 0.2 Canada 0.8 8.0-1.0 1.2 Australia -0.6 10.6 0.3 1.3 U.K. 0.4 8.5-0.7 5.0 Belgium 1.7 4.4-0.2 2.5 France 0.1 2.8 0.3 1.4 Germany 2.2 3.1-0.1 1.2 Greece 0.2 0.2-0.3 3.5 Italy 0.9 0.8-0.5 1.3 Netherlands 1.3 5.1 0.0 2.3 Portugal 1.3 1.9 2.1 8.9 Spain 2.7 3.8-0.2 2.1 Sweden 1.5 5.1 0.3 1.8 Czech R. -0.1 3.9 0.6 1.2 Hungary -0.2 0.1 0.0 0.3 Poland -1.1-0.7-0.3 5.6 Turkey 0.3 3.1 1.8 2.7 Mexico 0.0 0.6 7.8 11.2

Message to stir up the debate: People, especially unskilled workers of Spain, Greece, Italy, Portugal but also France and Germany should be concerned not because Polish and Rumanians migrate to their shores but because their engineers, doctors and scientists go to the UK, Switzerland, Canada and the US. In most European countries international mobility hurts wages of the less educated workers mostly because of emigration of the highly educated. Immigration, actually, helps the average wage of non-migrants.

Outline of the Paper Model and key parameters Data Results of the Simulated Wage Effects in the Long Run Extensions and short-run effects

Simple aggregate representation of Production Total Factor Productivity Aggregate of effective labor Stock of Physical Capital Long run. We assume that returns to capital are equalized (open economy) or that they depend on savings or discount rates we have:

continued Substituting and solving out the capital stock, output is linear in the effective labor composite Modified TFP, increasing function of TFP and return to capital

Labor Aggregate: Q h and Q h are the aggregate employment of highly educated (College graduates) and less educated (High School graduates and less). σ q is the high-low educated elasticity. The specification above is consistent with many Labor Market, Growth and International productivity papers (Katz and Murphy 1992, Caselli and Coleman 2006, Acemoglu and Zilibotti 2001 etc)

Native and Immigrant Labor N s, I s are natives and immigrants (of schooling s) and σ I is their elasticity of substitution. Consistent with the recent immigration literature: Ottaviano and Peri (forthcoming), Manacorda, Manning and Wadsworth (forthcoming), Borjas and Katz (2007).

Wages Considering wages as equal to the marginal productivity of labor, we can calculate the wages of non-migrant nationals. New immigrants affect the wages through the aggregates Q, new emigrants through Q and N

Experiment and Counterfactual To evaluate the effect of immigration: Calculate the wages of native non movers in 2000 and the counterfactual wage keeping stock of immigrants at levels of 1990. Take the difference and express it as percentage of wage value. To evaluate the effect of emigration: Calculate the wages of native non-movers in 2000 and the counter-factual wages including among them those who emigrated between 1990 and 2000. Take the difference and express it as percentage of 1990 value.

Formally

Externality of schooling Following Moretti 2004a-2004b, Acemoglu and Angrist 2001, Peri and Iranzo 2009 we consider that the share of college graduates may have a positive productive externality. λ is the elasticity of productivity to the share of college graduates. Learning, adoption of better technologies, improvement of firmworker matching, better institutions, embodied ideas, are the channels of these externalities.

Is the model Appropriate to capture relative wage effects? 1) Assume full employment. If employment rate has a natural long-run level (different across countries) we correct for that 2) Is consistent with all the international literature on wage premium, appropriate technology (Acemoglu 2002). 3) Is simple and can be easily extended to the short-run using estimates of the speed of adjustment of capital and if we have measure of net migration by skill yearly. 4) Alternative to the regression analysis (National level) that has the equally thorny issue of endogeneity of immigrant flows.

Parameterization Key parameters: σ q : Elasticity of Substitution between highly and less educated. It determines the relative H-L wage effect given the change in relative supply. It affects native average wages if relative supply of H-L for immigrants/emigrants is very different than natives and if it is small. σ I : Elasticity of Substitution between immigrants and natives. The smaller it is the more natives benefit from inflow of immigrants, who are complementary to them. Does not matter for impact of emigrants.

Parameterization λ: Elasticity of productivity to the share of college graduates. It regulates the strength of the schooling externality. The larger it is the more positive is an effect on average wages from increasing the ratio H/L. If immigration and emigration affect that ratio the parameter λ regulates the consequences on TFP.

Range from the Literature Parameter Estimates (source of estimates) σ q (source) σ I (source) λ (source) Low value Intermediate Value High value 1.3 (Borjas 2003) 6.0 (Manacorda et al. forthcoming) 0.0 (Acemoglu and Angrist 2000) 1.5 (Katz and Murphy 1992) 20.0 (Ottaviano and Peri forthcoming, Card 2009) 0.44 (Iranzo and Peri 2009) 2.0 (Angrist 1995) Infinity (Borjas et al. 2008) 0.75 (Moretti 2004a, 2004b)

Data Statistics on labor force per education level Labor force proxied by population aged 25-65 Skill composition taken from different data sources Census data on labor mobility per education level Docquier and Marfouk (2005): collection of immigration data in 30 OECD destinations Here: collection of data in 46 (2000)/31 (1990) additional destinations. Here: estimate of bilateral missing migration stocks Final database: comprehensive migration matrices for 195 countries, 1990 and 2000, stock of college graduates and less educated by country of residence and origin. Allows to measure total emigration flows!

This paper focuses on 10 large Western European countries 3 non-eu English-speaking countries (US, Canada, Australia) 3 Large Eastern European countries (Poland, Hungary and Czech republic) Large countries of emigration (Turkey and Mexico) and NON- OECD countries of immigration Measure of recent migration flows = migration stock in 2000- migration stock in 1990 Net (of remigration) values Includes all immigrants, including those with visas and sometimes irregular Has a break-down by schooling

Immigration as % of nationals Emigration as % of nationals Low Education High education Low Education High education U.S. 5.8 4.4 0.0 0.2 Canada 0.8 8.0-1.0 1.2 Australia -0.6 10.6 0.3 1.3 U.K. 0.4 8.5-0.7 5.0 Belgium 1.7 4.4-0.2 2.5 France 0.1 2.8 0.3 1.4 Germany 2.2 3.1-0.1 1.2 Greece 0.2 0.2-0.3 3.5 Italy 0.9 0.8-0.5 1.3 Netherlands 1.3 5.1 0.0 2.3 Portugal 1.3 1.9 2.1 8.9 Spain 2.7 3.8-0.2 2.1 Sweden 1.5 5.1 0.3 1.8 Czech R. -0.1 3.9 0.6 1.2 Hungary -0.2 0.1 0.0 0.3 Poland -1.1-0.7-0.3 5.6 Turkey 0.3 3.1 1.8 2.7 Mexico 0.0 0.6 7.8 11.2

Why do most people in OECD countries perceive immigrants as less skilled? 1) People make mistakes, we need to look at the numbers. 2) Stock of immigrants are less skilled than recent flows. We only consider 1990-2000. 3) People are conditioned by absolute numbers which are not the relevant ones for labor market effects. 4) Here we consider total migration (including between rich countries) while people have in mind migration from poor countries. E.g. 31% of immigrant stock (as of 2000) in Germany were from other rich countries. In France the number was 45%.

Stock 1990 Immigrants Emigrants Low schooling High schooling Low schooling High schooling U.S. 8,9 9,7 0,4 0,6 Canada 18,2 23,9 4,5 5,2 Australia 27,1 34,7 1,2 2,4 U.K. 6,8 9,2 6,4 20,7 Belgium 12,3 6,1 4,8 5,5 France 10,7 4,2 2,4 3,8 Germany 6,1 4,5 3,7 7,0 Greece 6,0 8,6 11,3 20,2 Italy 1,4 1,5 7,1 6,2 Netherlands 16,1 14,2 4,6 11,7 Portugal 0,7 1,7 20,1 15,7 Spain 2,8 4,2 3,9 3,8 Sweden 10,8 7,9 1,9 4,2 Czech R. 6,0 3,0 1,7 12,0 Hungary 0,8 0,8 3,4 19,1 Poland 4,1 5,7 4,1 16,5 Turkey 1,9 4,6 5,8 10,4

Composition 2000 Low schooling High schooling Total Australia 66,0 34,0 100,0 U.K. 80,2 19,8 100,0 Belgium 72,6 27,5 100,0 Portugal 76,1 23,9 100,0 Germany 74,5 25,5 100,0 Greece 84,8 15,2 100,0 Italy 82,0 18,0 100,0 Netherlands 78,0 22,0 100,0 Portugal 87,2 12,8 100,0 Spain 84,8 15,2 100,0 Sweden 72,5 27,5 100,0

Did we over-count the highly educated? What about illegal immigrants? We will use some estimates What about downgrading of skills and lower quality of schooling? We will consider a correction based on relative test scores (from Canada) and one from relative wages (in the US) What about employment rates? We adjust for that.

Basic results: median parameter values 1a. Impact on average wages of non-movers Western Europe Immigration Emigration

1c. Impact on wages of less educated non-movers Western Europe Immigration Emigration

1b. Impact on wages of highly educated non movers Western Europe Emigration Immigration

Robustness: parameter σ q 2a. Impact on average wages of non-movers 2c Impact on wages of less educated non movers

Robustness: parameter σ I 3a. Impact on average Wages of non-movers 3c. Impact on Wages of less educated non-movers

Robustness: parameter λ 4a. Impact on average Wages of non-movers 4c Impact on Wages of less educated non-movers

Best Case and Worst-Case scenario on Average wages: Immigration 6 4 2 0-2 U.S. Canada Australia U.K. Belgium France Germany Greece Italy Netherl. Portugal Spain Sweden EU15 Czech R. Hungary Poland Argentina Turkey Mexico Singapore South Af. Best-case Worst case

Best Case and Worst-Case scenario on Average wages: Emigration 1 0-1 -2-3 U.S. Canada Australia U.K. Belgium France Germany Greece Italy Netherl. Portugal Spain Sweden EU15 Czech R. Hungary Poland Argentina Turkey Mexico Singapore South Af. Best-case Worst-case

Extensions Accounting for undocumented migrants: HWWI database (Kovacheva and Vogel, 2009) Variants: Estimates of lower/upper-bounds for illegals as % of foreigners as of early 2000 s Belgium (11-18%), France (9-15%), Germany (14-20%), Greece (42-63%), Italy (53-75%), Netherlands (11-26%), Portugal (18-89%), Spain (8-29%), Sweden (1.7-2.5%), and the U.K. (11-21%) Assume that ALL Undocumented migrants are low-skilled

Figure 6 Extension: Including undocumented immigrants, Western European Countries

Accounting for schooling quality and downgrading Downgrading the value of education obtained in poor countries Adjusting (downgrading) the education for the occupation-wage received Variants: Canadian adjustment from Coulombe and Tremblay (2009). Based on a standardized test. 1) Use a linear skill conversion 2) a quadratic one. 3) Adjust high educated as a combination of high and low educated using wages in the US of a college educated immigrants as combination of college and non college educated US born. 4) Use probability of college educated to be in a highly skilled job (Matoo et al 2006)

Figure 7 Extension: Effects of Immigration Adjusting for Education Quality

Crowding or density externality? The simple increase in crowding may have a negative productivity effect if there is a fixed factor (land) or may be positive external effect if there is a density externality (a la Ciccone and Hall 1996). Lowest elasticity estimated of productivity to density -0.03, highest: 0.06

Figure 8 Extension: Effects of Immigration including density/crowding externalities

Correction using employment (rather than population) Apply employment/population rates from ELFS to nativeimmigrants, highly and less educated. Calculate the effects using these numbers. In general employment/population ratio is almost the same or higher for immigrants (relative to natives) for highly educated and similar or slightly smaller for less educated. So effects differ from those based on population by 0.1/0.2% at most.

Figure 9 Extension: Accounting for employment rates (by skill and origin) Western European Countries

Short Run Correction In the model described above the long-run average wage effect of immigrants on total national wages is equal to the externality effect. The other effects are purely relative (immigrant-native, more and less educated) In the short run with sluggish capital adjustment there is an extra effect on average wage, depending on the change in capital-output ratio due to immigration.

Sluggish Capital Adjustment (1 β 1 ) speed of adjustment. % of the distance from steady state eliminated each period. Values are estimated in the macro-growth literature (around 0.10). ΔI/Q inflow of immigrants as percentage of the labor force. Assuming a distribution of flows over the 10 years (uniform) we evaluate recursively the deviation of κ from the balanced growth path and hence its impact on average wages.

3.000 1.500 0.000-1.500-3.000 Extension: Short-run effects of Immigration and Emigration Accounting for sluggish Capital Adjustment U.S. Canada Australia U.K. Belgium France Germany Greece Italy Netherl. Portugal Spain Sweden EU15 Czech R. Hungary Poland Argentina Turkey Mexico Singapore South Af. Immigration, Short run Emigration, Short Run Immigration, Long run Emigration, Long Run

Conclusions and Thoughts Labor market popular view: intl. migration hurts the EU economy on two counts Immigration hurts national wages (by crowding, diluting skills) It mostly hurts less educated ones (competition) The most likely results supported by this paper: At the recent level and types of immigration there are wage gains for natives, especially low skilled. Gains are not large but losses are very unlikely. Emigration from some European countries (mostly high skilled) is costly for non-movers, especially low educated

Further Questions How did this change in the 2000 s? Certainly for some countries (Spain) immigration increased much, but in other it decreased much (Germany). The skill composition of immigrants relative to natives is not clear. Why do countries of origin not care at all about their emigrants? Can we compare the wage gains with possibly unemployment and welfare costs (if immigrants have higher unemployment rates).

Germany, Gross Flows 1990-2007 1800000 1600000 1400000 1200000 1000000 800000 600000 400000 200000 0 total gross immigration total gross immigration from rich countries 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 Spain, Gross Flows 1990-2007 1000000 900000 800000 700000 600000 500000 400000 300000 200000 100000 0 total gross immigration total gross immigration from rich countries 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007

Netherlands Gross Flows, 1990-2007 100000 90000 80000 70000 60000 50000 40000 30000 20000 10000 0 total gross immigration total gross immigration from rich countries 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 Sweden, Gross Flows, 1990-2007 90000 total gross immigration 80000 70000 60000 50000 40000 30000 20000 10000 0 total gross immigration from rich countries 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007