Computerization and Immigration: Theory and Evidence from the United States 1

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Computerization and Immigration: Theory and Evidence from the United States 1 Gaetano Basso (Banca d Italia), Giovanni Peri (UC Davis and NBER), Ahmed Rahman (USNA) BdI-CEPR Conference, Roma - March 16th, 2018 1 The views expressed in the paper are those of the authors only and do not involve the responsibility of the Bank of Italy. 1 / 33 G. Basso (BdI) Computerization & Immigration

Technology and Polarization Labor market polarization likely due to routine-substituting technological innovation (Autor et al., 2003; Autor & Dorn, 2013) Changes Employment (Natives+Foreign Born) by Skill Percentile, 1980-2010 Source: Figure 1 in Autor & Dorn (2013) 2 / 33 G. Basso (BdI) Computerization & Immigration

Immigration Immigration significantly rose in the US in the last 30 years This phenomenon involved both high and low educated 3 / 33 G. Basso (BdI) Computerization & Immigration

Immigration Immigration significantly rose in the US in the last 30 years This phenomenon involved both high and low educated 3 / 33 G. Basso (BdI) Computerization & Immigration

Immigration Immigration significantly rose in the US in the last 30 years This phenomenon involved both high and low educated Low and high-educated immigrants as share of the population Data: IPUMS 1980-2010 3 / 33 G. Basso (BdI) Computerization & Immigration

Research question The goal of this paper is to answer two simple, yet extremely relevant, questions we know little about 1 Does technological growth attract migrants? Is it true for both high and low educated (skilled)? 2 Does immigration attenuate or exacerbate the tendency of native job polarization? Can cross-regional variation in technology adoption inform us on natives and immigrants job polarization? How the combination of technology and immigration impact (native) welfare in the long-run? 4 / 33 G. Basso (BdI) Computerization & Immigration

Research question The goal of this paper is to answer two simple, yet extremely relevant, questions we know little about 1 Does technological growth attract migrants? Is it true for both high and low educated (skilled)? 2 Does immigration attenuate or exacerbate the tendency of native job polarization? Can cross-regional variation in technology adoption inform us on natives and immigrants job polarization? How the combination of technology and immigration impact (native) welfare in the long-run? 4 / 33 G. Basso (BdI) Computerization & Immigration

Research question The goal of this paper is to answer two simple, yet extremely relevant, questions we know little about 1 Does technological growth attract migrants? Is it true for both high and low educated (skilled)? 2 Does immigration attenuate or exacerbate the tendency of native job polarization? Can cross-regional variation in technology adoption inform us on natives and immigrants job polarization? How the combination of technology and immigration impact (native) welfare in the long-run? 4 / 33 G. Basso (BdI) Computerization & Immigration

In this paper We provide empirical evidence and theoretical support to understand the following: 1 In the data, is technology adoption (computer use on the job) associated with immigration inflows (and polarization)? 2 We then rationalize these facts in a simple GE model with 3 tasks, exogenous routine-substituting technological change and endogenous immigration 3 Finally, we simulate the model equilibrium to provide counterfactual scenarios and back out welfare for natives 5 / 33 G. Basso (BdI) Computerization & Immigration

In this paper We provide empirical evidence and theoretical support to understand the following: 1 In the data, is technology adoption (computer use on the job) associated with immigration inflows (and polarization)? 2 We then rationalize these facts in a simple GE model with 3 tasks, exogenous routine-substituting technological change and endogenous immigration 3 Finally, we simulate the model equilibrium to provide counterfactual scenarios and back out welfare for natives 5 / 33 G. Basso (BdI) Computerization & Immigration

In this paper We provide empirical evidence and theoretical support to understand the following: 1 In the data, is technology adoption (computer use on the job) associated with immigration inflows (and polarization)? 2 We then rationalize these facts in a simple GE model with 3 tasks, exogenous routine-substituting technological change and endogenous immigration 3 Finally, we simulate the model equilibrium to provide counterfactual scenarios and back out welfare for natives 5 / 33 G. Basso (BdI) Computerization & Immigration

Immigration and Polarization Immigrants substantially change the shape of the polarization 6 / 33 G. Basso (BdI) Computerization & Immigration

Immigration and Polarization Immigrants substantially change the shape of the polarization 100 x Change in Employment Share -.2 -.1 0.1.2.3.4 0 20 40 60 80 100 Skill Percentile (Ranked by Occupational Mean Wage) Foreign-born Natives Changes in Foreign-born and Natives Employment by Skill Percentile 1980-2010 6 / 33 G. Basso (BdI) Computerization & Immigration

Preview of results Empirically, we observe that immigrant inflows are associated with routine-substituting technology adoption job polarization at the low-end can be mainly attributed to immigrants 7 / 33 G. Basso (BdI) Computerization & Immigration

Preview of results Empirically, we observe that immigrant inflows are associated with routine-substituting technology adoption job polarization at the low-end can be mainly attributed to immigrants The model simulations predict that immigration: contributes to technological progress combined with technology adoption, induces occupational upgrading is net welfare enhancing for natives 7 / 33 G. Basso (BdI) Computerization & Immigration

Outline 1 Introduction 2 Contributions to the literature 3 Immigration and Technology Shocks: Definition and Identification 4 Empirical Results 5 Model and Simulations 6 Conclusions 8 / 33 G. Basso (BdI) Computerization & Immigration

This paper contributes to An extensive literature on polarization and routine-substituting (Autor et al., 2003; Goos & Manning, 2007; Autor & Dorn, 2013) Labor supply matters too (Cerina et al., 2017): Low-end polarization is mitigated by undocumented migrants (Mandelman & Zlate, 2014) We extend AD s framework to endogenous immigration 9 / 33 G. Basso (BdI) Computerization & Immigration

This paper contributes to An extensive literature on polarization and routine-substituting (Autor et al., 2003; Goos & Manning, 2007; Autor & Dorn, 2013) Labor supply matters too (Cerina et al., 2017): Low-end polarization is mitigated by undocumented migrants (Mandelman & Zlate, 2014) We extend AD s framework to endogenous immigration 9 / 33 G. Basso (BdI) Computerization & Immigration

This paper contributes to An extensive literature on polarization and routine-substituting (Autor et al., 2003; Goos & Manning, 2007; Autor & Dorn, 2013) Labor supply matters too (Cerina et al., 2017): Low-end polarization is mitigated by undocumented migrants (Mandelman & Zlate, 2014) We extend AD s framework to endogenous immigration Even more literature on immigration (Card, 2001; Peri & Sparber, 2009; Ottaviano & Peri, 2012; Dustmann & al., 2015; Lull, 2017) We are the first to show that: Areas with technological progress attracts low-skilled migrants (Cadena & Kovak, 2016; Jaimovich & Siu, 2017: high-skilled only) Absent immigration, polarization, capital accumulation and growth would change 9 / 33 G. Basso (BdI) Computerization & Immigration

Technology and immigration (.0028228,.0033891] (.0026977,.0028228] (.0026139,.0026977] [.0022631,.0026139] (.0678924,.3024885] (.03496,.0678924] (.0154054,.03496] [-.0221565,.0154054] 722 self-contained local labor markets: Commuting Zones (CZs) Change in routine-substituting technology (proxy: PC use), 1980-2010 Change in foreign-born share, 1980-2010 10 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (I) Hard to identify localized technology progress. Few examples: 11 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (I) Hard to identify localized technology progress. Few examples: Beaudry et al. (2010) use survey firm-level computer adoption for 200 city AD proxy technological change with task-based routine-intensity of CZs 11 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (I) Hard to identify localized technology progress. Few examples: Beaudry et al. (2010) use survey firm-level computer adoption for 200 city AD proxy technological change with task-based routine-intensity of CZs We use an inferred measure of PC adoption for all 722 CZs ( to Autor et al., 2003): Industry-level PC use from the CPS as of mid-2000s We exploit variation in 1980 local labor markets industrial composition 11 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (II) where: PC use c,t = ω j,c,1980 PC at work j,us,t j empl j,us,1980 PC at work j,us,t empl j,us,1980 = PC at work j,us,2005 empl j,us,1980 PC at work j,us,1980 empl j,us,1980 }{{} 0 PC at work j,us,t empl j,us,1980 PC at work j,us,2005 empl j,us,1980 ω j,c,1980 = empl j,c,1980 j empl j,c,1980 c: CZ; t: survey year; j: industry 12 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (II) where: PC use c,t = ω j,c,1980 PC at work j,us,t j empl j,us,1980 PC at work j,us,t empl j,us,1980 = PC at work j,us,2005 empl j,us,1980 PC at work j,us,1980 empl j,us,1980 }{{} 0 PC at work j,us,t empl j,us,1980 PC at work j,us,2005 empl j,us,1980 ω j,c,1980 = empl j,c,1980 j empl j,c,1980 c: CZ; t: survey year; j: industry We control for generic labor demand shocks (Bartik-style proxy): Labor Productivity c,t = j ω j,c,1980 log(wage) j, c,t 12 / 33 G. Basso (BdI) Computerization & Immigration

Identification of technology adoption (III) PC use proxy positively correlates with other measure of RBTC PC Use 40 45 50 55 60 65 -.5 0.5 1 BDL (2010) Firm-Level PCs PC Use 40 45 50 55 60 65.15.2.25.3.35.4.45 AD (2013) Routine Share PC Use and BDL s (2010) PC Firm-level Use PC Use and AD s (2013) CZ-Routine Intensity 13 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born migration and PC adoption Pop c,h,t Pop c,1980 = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε s,h,t (1) for each skill h, CZ c between 1980 and 2010. US and foreign born employment 14 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born migration and PC adoption Pop c,h,t Pop c,1980 = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε s,h,t (1) for each skill h, CZ c between 1980 and 2010. Low Skilled High Skilled Panel A: Natives PC use 0.219 2.419 (0.314) (0.641) Labor Productivity -0.790-4.008 (0.893) (1.913) Obs. 722 722 R2 0.64 0.55 Panel B: Foreign Born PC use 0.555 + 1.038 (0.299) (0.210) Labor Productivity 0.187 1.028 + (0.562) (0.556) Obs. 722 722 R2 0.67 0.79 Note: 722 CZs, 1980-2010. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. US and foreign born employment 14 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born occupational share and PC adoption EmplSh k c,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,t (2) for each CZ c, occupation/task group k between 1980 and 2010. Summary Stats 15 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born occupational share and PC adoption EmplSh k c,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,t (2) for each CZ c, occupation/task group k between 1980 and 2010. Manag/Prof Occ Cler/Ret/Prod Occ Serv/Trans Occ Panel A: Natives PC use 0.558-0.646 0.088 (0.063) (0.089) (0.076) Labor Productivity -0.099 0.244-0.146 (0.164) (0.273) (0.241) Obs. 722 722 722 R2 0.60 0.73 0.46 Panel B: Foreign Born PC use 0.595-1.036 0.441 + (0.252) (0.175) (0.257) Labor Productivity -1.620 0.394 1.226 (0.996) (0.441) (0.929) Obs. 722 722 722 R2 0.51 0.41 0.43 Note: 722 CZs, 1980-2010. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. Summary Stats 15 / 33 G. Basso (BdI) Computerization & Immigration

Additional Results Similar results using task specialization indexes Tasks Additional results on US wages Wages Preliminary IV results exploiting early PC-adopters CZs produce consistent results (forthcoming) Pre-trends indicates no patterns in group-specific migration Migration Pre-Trends 16 / 33 G. Basso (BdI) Computerization & Immigration

Additional Results Similar results using task specialization indexes Tasks Additional results on US wages Wages Preliminary IV results exploiting early PC-adopters CZs produce consistent results (forthcoming) Pre-trends indicates no patterns in group-specific migration Migration Pre-Trends 16 / 33 G. Basso (BdI) Computerization & Immigration

Additional Results Similar results using task specialization indexes Tasks Additional results on US wages Wages Preliminary IV results exploiting early PC-adopters CZs produce consistent results (forthcoming) Pre-trends indicates no patterns in group-specific migration Migration Pre-Trends 16 / 33 G. Basso (BdI) Computerization & Immigration

Summary of stylized facts Our reduced form approach identifies few interesting facts: 1 Immigrants inflows are associated with PC adoption It holds both for low-skilled (new results) and high-skilled 2 PC adoption also correlated with natives job polarization Immigrants contribute to low-end polarization 3 Effects on wages are consistent with a labor demand shock 17 / 33 G. Basso (BdI) Computerization & Immigration

Summary of stylized facts Our reduced form approach identifies few interesting facts: 1 Immigrants inflows are associated with PC adoption It holds both for low-skilled (new results) and high-skilled 2 PC adoption also correlated with natives job polarization Immigrants contribute to low-end polarization 3 Effects on wages are consistent with a labor demand shock 17 / 33 G. Basso (BdI) Computerization & Immigration

Summary of stylized facts Our reduced form approach identifies few interesting facts: 1 Immigrants inflows are associated with PC adoption It holds both for low-skilled (new results) and high-skilled 2 PC adoption also correlated with natives job polarization Immigrants contribute to low-end polarization 3 Effects on wages are consistent with a labor demand shock 17 / 33 G. Basso (BdI) Computerization & Immigration

Summary of stylized facts Our reduced form approach identifies few interesting facts: 1 Immigrants inflows are associated with PC adoption It holds both for low-skilled (new results) and high-skilled 2 PC adoption also correlated with natives job polarization Immigrants contribute to low-end polarization 3 Effects on wages are consistent with a labor demand shock 17 / 33 G. Basso (BdI) Computerization & Immigration

A model to rationalize automation and immigration built on A&D(2013) Two sectors, goods and services are complementary in utility: 1 CES utility U = (ρc σ 1 σ s + (1 ρ)c σ 1 σ g ) σ σ 1, with σ (0, 1] 2 Goods can be saved to accumulate capital and human capital C g = Y g p k K p a L a ; C s = Y s Service production linear (Y s = L s ). Goods production: 1 Complementarity between K and L a [ Y g = (α a L a ) β + X β] 1/β, β < 0, αa > 1 2 Substitution between K and L r X = [ L γ r + K γ] 1/γ, γ (0, 1) 3 p k exogenously 18 / 33 G. Basso (BdI) Computerization & Immigration

A model to rationalize automation and immigration built on A&D(2013) Two sectors, goods and services are complementary in utility: 1 CES utility U = (ρc σ 1 σ s + (1 ρ)c σ 1 σ g ) σ σ 1, with σ (0, 1] 2 Goods can be saved to accumulate capital and human capital C g = Y g p k K p a L a ; C s = Y s Service production linear (Y s = L s ). Goods production: 1 Complementarity between K and L a [ Y g = (α a L a ) β + X β] 1/β, β < 0, αa > 1 2 Substitution between K and L r X = [ L γ r + K γ] 1/γ, γ (0, 1) 3 p k exogenously 18 / 33 G. Basso (BdI) Computerization & Immigration

A model to rationalize automation and immigration built on A&D(2013) Two sectors, goods and services are complementary in utility: 1 CES utility U = (ρc σ 1 σ s + (1 ρ)c σ 1 σ g ) σ σ 1, with σ (0, 1] 2 Goods can be saved to accumulate capital and human capital C g = Y g p k K p a L a ; C s = Y s Service production linear (Y s = L s ). Goods production: 1 Complementarity between K and L a [ Y g = (α a L a ) β + X β] 1/β, β < 0, αa > 1 2 Substitution between K and L r X = [ L γ r + K γ] 1/γ, γ (0, 1) 3 p k exogenously 18 / 33 G. Basso (BdI) Computerization & Immigration

A model to rationalize automation and immigration built on A&D(2013) Two sectors, goods and services are complementary in utility: 1 CES utility U = (ρc σ 1 σ s + (1 ρ)c σ 1 σ g ) σ σ 1, with σ (0, 1] 2 Goods can be saved to accumulate capital and human capital C g = Y g p k K p a L a ; C s = Y s Service production linear (Y s = L s ). Goods production: 1 Complementarity between K and L a [ Y g = (α a L a ) β + X β] 1/β, β < 0, αa > 1 2 Substitution between K and L r X = [ L γ r + K γ] 1/γ, γ (0, 1) 3 p k exogenously 18 / 33 G. Basso (BdI) Computerization & Immigration

A model to rationalize automation and immigration built on A&D(2013) Two sectors, goods and services are complementary in utility: 1 CES utility U = (ρc σ 1 σ s + (1 ρ)c σ 1 σ g ) σ σ 1, with σ (0, 1] 2 Goods can be saved to accumulate capital and human capital C g = Y g p k K p a L a ; C s = Y s Service production linear (Y s = L s ). Goods production: 1 Complementarity between K and L a [ Y g = (α a L a ) β + X β] 1/β, β < 0, αa > 1 2 Substitution between K and L r X = [ L γ r + K γ] 1/γ, γ (0, 1) 3 p k exogenously 18 / 33 G. Basso (BdI) Computerization & Immigration

Labor amounts and migration (I) Labor ability is ranked: manual simpler than routine, simpler than analytical Each worker i has η i amount of routine ability (manual ability stand d to 1) Workers can upgrade to analytical ability (φη i, φ > 1) at cost p a Two thresholds: Equilibrium wages makes workers indifferent between manual and routine and routine and analytical 19 / 33 G. Basso (BdI) Computerization & Immigration

Labor amounts and migration (I) Labor ability is ranked: manual simpler than routine, simpler than analytical Each worker i has η i amount of routine ability (manual ability stand d to 1) Workers can upgrade to analytical ability (φη i, φ > 1) at cost p a Two thresholds: Equilibrium wages makes workers indifferent between manual and routine and routine and analytical w r η = w s, w a φ ˆη p a = w r ˆη 19 / 33 G. Basso (BdI) Computerization & Immigration

Labor amounts and migration (II) Unskilled migration positively depends on low-skill manual wages (Grogger & Hanson, 2011) { (1 + ws ) mig = ɛ (k + p s ) if (1 + w s ) ɛ k > p s 0 otherwise ɛ governs the sensitivity to manual wages (ɛ (0, 1)) 20 / 33 G. Basso (BdI) Computerization & Immigration

Labor amounts and migration (II) Unskilled migration positively depends on low-skill manual wages (Grogger & Hanson, 2011) { (1 + ws ) mig = ɛ (k + p s ) if (1 + w s ) ɛ k > p s 0 otherwise ɛ governs the sensitivity to manual wages (ɛ (0, 1)) 20 / 33 G. Basso (BdI) Computerization & Immigration

Labor amounts and migration (II) Unskilled migration positively depends on low-skill manual wages (Grogger & Hanson, 2011) { (1 + ws ) mig = ɛ (k + p s ) if (1 + w s ) ɛ k > p s 0 otherwise ɛ governs the sensitivity to manual wages (ɛ (0, 1)) Assuming η f (η) = e η, labor amounts are: L r = ˆη η ηe η dη L a = ˆη φηe η dη L m = 1 + mig e η 20 / 33 G. Basso (BdI) Computerization & Immigration

Partial Equilibrium Intuition Supply of low-educated migration and service wages: No migration, no tech (ε s given) 21 / 33 G. Basso (BdI) Computerization & Immigration

Partial Equilibrium Intuition Supply of low-educated migration and service wages: p k (ε s given) 21 / 33 G. Basso (BdI) Computerization & Immigration

Partial Equilibrium Intuition Supply of low-educated migration and service wages: p k & demand effect (ε s given) 21 / 33 G. Basso (BdI) Computerization & Immigration

With respect to Autor and Dorn (2013) We depart from Autor and Dorn (2013) in three ways: 1 Native workers can upgrade their skills and occupation (by accumulating human capital endogenously): 2 Endogenous migration in response to p k We simulate the model to evaluate counterfactual scenarios 22 / 33 G. Basso (BdI) Computerization & Immigration

Simulation setup We set the parameters as to match initial labor shares and low-skilled migration inflows in the last 30 years: 1 Elasticity of substitution in production higher than that in consumption ( 1 1 γ > σ) σ = 0.5, β = 10,γ = 0.5 ρ = 0.025, α a = 7.5 2 Other parameters φ = 2, p m = 0.25 (simulation with p a ongoing work) ɛ s = 0.2 We simulate the model for a 225% exogenous decline of p k cumulated over 30 years 23 / 33 G. Basso (BdI) Computerization & Immigration

Simulation setup We set the parameters as to match initial labor shares and low-skilled migration inflows in the last 30 years: 1 Elasticity of substitution in production higher than that in consumption ( 1 1 γ > σ) σ = 0.5, β = 10,γ = 0.5 ρ = 0.025, α a = 7.5 2 Other parameters φ = 2, p m = 0.25 (simulation with p a ongoing work) ɛ s = 0.2 We simulate the model for a 225% exogenous decline of p k cumulated over 30 years 23 / 33 G. Basso (BdI) Computerization & Immigration

Simulation setup We set the parameters as to match initial labor shares and low-skilled migration inflows in the last 30 years: 1 Elasticity of substitution in production higher than that in consumption ( 1 1 γ > σ) σ = 0.5, β = 10,γ = 0.5 ρ = 0.025, α a = 7.5 2 Other parameters φ = 2, p m = 0.25 (simulation with p a ongoing work) ɛ s = 0.2 We simulate the model for a 225% exogenous decline of p k cumulated over 30 years 23 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (figures) 1) Technological progress without migration generates employment polarization: Changes in Native Employment Levels from Higher Computerization 0.6 0.5 Analytical Labor Share (no migration) Routine Labor Share (no migration) Service Labor Share (no migration) 0.4 0.3 0.2 0.1 5 10 15 20 25 30 time 24 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (figures) 2) Technological progress attracts low-skilled migrants: Changes in Unskilled Migrants from Higher Computerization 0.15 0.1 0.05 0 5 10 15 20 25 30 time 25 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (figures) 3) Immigration allows natives to upgrade their skills: 0.35 0.3 Routine Labor Share (no migration) Routine Labor Share (baseline migration) 0.25 0.2 0.15 0.1 0.6 0.55 5 10 15 20 25 30 time Abstract Labor Share (no migration) Abstract Labor Share (baseline migration) 0.5 0.45 0.4 0.35 0.3 5 10 15 20 25 30 time Changes in Native Routine and Analytical Employment Levels from Higher Computerization and Immigration 26 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (table) We target a 15 p.p. increase in migration, initial occupational shares (L a = 0.27, L r = 0.35, L m = 0.38) and a 225 percent in computer price Table. Baseline Simulation Variables W/ Baseline No Driving Migration Migration Channel w/migration % Population 14.4 L natives manual -1.8 L natives routine -20.2 L natives analytical 21.9 % W s 71.0 % W r -47.8 % W a 262.3 % K 367.4 % Y goods 98.8 Occupation Shares 1980-2010 27 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (table) We target a 15 p.p. increase in migration, initial occupational shares (L a = 0.27, L r = 0.35, L m = 0.38) and a 225 percent in computer price Table. Baseline Simulation Variables W/ Baseline No Driving Migration Migration Channel w/migration % Population 14.4 0 w s given ε s > 0 L natives manual -1.8 4.6 ˆη, η L natives routine -20.2-22.9 η L natives analytical 21.9 18.3 ˆη % W s 71.0 160.1 mig % W r -47.8-51.5 L r % W a 262.3 236.1 L a, K complements % K 367.4 333.6 L a, K complements % Y goods 98.8 84.5 Occupation Shares 1980-2010 27 / 33 G. Basso (BdI) Computerization & Immigration

Extension: High-skilled migrants High-skill migrants supply analytical tasks depending on the level of analytical wages: η s [ (1 + wa ) ɛ a k ] p a m Graphs 28 / 33 G. Basso (BdI) Computerization & Immigration

Extension: High-skilled migrants High-skill migrants supply analytical tasks depending on the level of analytical wages: η s [ (1 + wa ) ɛ a k ] p a m Now, we have two sources of analytical labor, possibly competing: L a = ˆη φηe η dη + φη s e η dη (3) η Graphs 28 / 33 G. Basso (BdI) Computerization & Immigration

Extension: High-skilled migrants High-skill migrants supply analytical tasks depending on the level of analytical wages: η s [ (1 + wa ) ɛ a k ] p a m Now, we have two sources of analytical labor, possibly competing: L a = ˆη φηe η dη + φη s e η dη (3) η Skilled migration: ε a > 0s: drop in p k raises skilled migration to 7.5 percent of total native skilled population Allows for more capital accumulation (through production complementarities) Favor unskilled migrants inflows (through demand) Although quantitatively different, main results hold Graphs 28 / 33 G. Basso (BdI) Computerization & Immigration

Model simulations (figures) Technological progress attracts high-skilled migrants: Changes in Unskilled Migrants from Higher Computerization 0.2 0.15 Unksilled Migrants (Ns,mig) Skilled Migrants (Na,mig) 0.1 0.05 0 5 10 15 20 25 30 time 29 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (I) Natives in manufacturing gain (higher earnings and cheaper services): ( ) Util manuf = ρ 1+σ w σ (w r L r + w a L a ) (L a + L r ). s +(1 ρ) 1+σ (1 ρ) σ +ρ σ w 1 σ s 30 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (I) Natives in manufacturing gain (higher earnings and cheaper services): ( ) Util manuf = ρ 1+σ w σ (w r L r + w a L a ) (L a + L r ). s +(1 ρ) 1+σ (1 ρ) σ +ρ σ w 1 σ s Natives who work in services lose as lower wages more than offset cheaper services: ( ) Util serv = ρ 1+σ w σ (w s L s,nat L s,nat ). s +(1 ρ) 1+σ (1 ρ) σ +ρ σ w 1 σ s What is the net effect of immigration? 30 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (I) Natives in manufacturing gain (higher earnings and cheaper services): ( ) Util manuf = ρ 1+σ w σ (w r L r + w a L a ) (L a + L r ). s +(1 ρ) 1+σ (1 ρ) σ +ρ σ w 1 σ s Natives who work in services lose as lower wages more than offset cheaper services: ( ) Util serv = ρ 1+σ w σ (w s L s,nat L s,nat ). s +(1 ρ) 1+σ (1 ρ) σ +ρ σ w 1 σ s What is the net effect of immigration? 30 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (II) Migration in the U.S. has been net positive for overall welfare: 10-3 6.5 6 Aggregate Utility (no migrants) Aggregate Utility (unskilled migrants) Aggregate Utility (unskilled & skilled migrants) 5.5 5 4.5 5 10 15 20 25 30 time Changes in Native Aggregate Utility with Both Types of Migration Computerization alone raises welfare by 5.4 percent (blue line) Computerization and both types of migration raises welfare by 21.8 percent (green line) As long as native labor share in services is not too large 31 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (II) Migration in the U.S. has been net positive for overall welfare: 10-3 6.5 6 Aggregate Utility (no migrants) Aggregate Utility (unskilled migrants) Aggregate Utility (unskilled & skilled migrants) 5.5 5 4.5 5 10 15 20 25 30 time Changes in Native Aggregate Utility with Both Types of Migration Computerization alone raises welfare by 5.4 percent (blue line) Computerization and both types of migration raises welfare by 21.8 percent (green line) As long as native labor share in services is not too large 31 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (II) Migration in the U.S. has been net positive for overall welfare: 10-3 6.5 6 Aggregate Utility (no migrants) Aggregate Utility (unskilled migrants) Aggregate Utility (unskilled & skilled migrants) 5.5 5 4.5 5 10 15 20 25 30 time Changes in Native Aggregate Utility with Both Types of Migration Computerization alone raises welfare by 5.4 percent (blue line) Computerization and both types of migration raises welfare by 21.8 percent (green line) As long as native labor share in services is not too large 31 / 33 G. Basso (BdI) Computerization & Immigration

Aggregate Welfare Indirect Utility Calculations (II) Migration in the U.S. has been net positive for overall welfare: 10-3 6.5 6 Aggregate Utility (no migrants) Aggregate Utility (unskilled migrants) Aggregate Utility (unskilled & skilled migrants) 5.5 5 4.5 5 10 15 20 25 30 time Changes in Native Aggregate Utility with Both Types of Migration Computerization alone raises welfare by 5.4 percent (blue line) Computerization and both types of migration raises welfare by 21.8 percent (green line) As long as native labor share in services is not too large 31 / 33 G. Basso (BdI) Computerization & Immigration

Summary - Connecting model to empirics (I) Routine-substituting technological progress proxied by country-wise PC use: 1 attracts low-skilled immigrants through higher service wages We document unskilled migration response which complements existing work (Moretti, 2013; Cadena & Kovak, 2016): due to an increase demand for manual tasks (Mazzolari & Ragusa, 2013) High-skilled migration response comes at no surprise 2 Associated with job polarization Consistent with previous literature But no effect on service employment for natives 32 / 33 G. Basso (BdI) Computerization & Immigration

Summary - Connecting model to empirics (I) Routine-substituting technological progress proxied by country-wise PC use: 1 attracts low-skilled immigrants through higher service wages We document unskilled migration response which complements existing work (Moretti, 2013; Cadena & Kovak, 2016): due to an increase demand for manual tasks (Mazzolari & Ragusa, 2013) High-skilled migration response comes at no surprise 2 Associated with job polarization Consistent with previous literature But no effect on service employment for natives 32 / 33 G. Basso (BdI) Computerization & Immigration

Summary of results - Connecting model and empirics (II) Immigration: 1 Further hastens technological progress 2 Induces occupational upgrading among natives in the long run: natives join more routine & analytical occupations (i.e., balance back unbalanced growth) 3 Has negative effects on service wages Natives welfare depends on the share of service workers at t 0 Overall welfare increased in the baseline parametrization 33 / 33 G. Basso (BdI) Computerization & Immigration

Summary of results - Connecting model and empirics (II) Immigration: 1 Further hastens technological progress 2 Induces occupational upgrading among natives in the long run: natives join more routine & analytical occupations (i.e., balance back unbalanced growth) 3 Has negative effects on service wages Natives welfare depends on the share of service workers at t 0 Overall welfare increased in the baseline parametrization 33 / 33 G. Basso (BdI) Computerization & Immigration

Summary of results - Connecting model and empirics (II) Immigration: 1 Further hastens technological progress 2 Induces occupational upgrading among natives in the long run: natives join more routine & analytical occupations (i.e., balance back unbalanced growth) 3 Has negative effects on service wages Natives welfare depends on the share of service workers at t 0 Overall welfare increased in the baseline parametrization 33 / 33 G. Basso (BdI) Computerization & Immigration

Appendix 33 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born employment and PC adoption Empl c,h,t Empl c,1980 = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε s,h,t (4) for each skill h, CZ c between 1980 and 2010. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born employment and PC adoption Empl c,h,t Empl c,1980 = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε s,h,t (4) for each skill h, CZ c between 1980 and 2010. Low Skilled High Skilled Panel A: Natives PC use 0.115 2.047 (0.304) (0.635) Labor Productivity -0.681-3.745 + (0.896) (2.080) Obs. 722 722 R2 0.59 0.52 Panel B: Foreign Born PC use 0.416 1.008 (0.301) (0.199) Labor Productivity 0.247 1.078 + (0.549) (0.539) Obs. 722 722 R2 0.66 0.79 Note: 722 CZs, 1980-2010. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

Observed Occupational Share Changes Table. Occupational Employment Shares Managers/prof/ Clerical/sales/ Services/transp/ tech operators construct Prevalently Analytical/Cognitive Routine Manual Panel A: Natives 1980 0.276 0.409 0.315 2010 0.405 0.304 0.292 Delta 0.129-0.106-0.023 Panel B: Foreign born 1980 0.241 0.420 0.339 2010 0.294 0.250 0.456 Delta 0.053-0.169 0.116 Back to Regressions Back to Simulation 33 / 33 G. Basso (BdI) Computerization & Immigration

Job polarization: Task supply approach We construct measures of task supply based on the DOT indexes of Manual, Routine and Analytical Task intensity (Peri & Sparber, 2009; Autor & Dorn, 2013) Occupations and Task Index in 1980 Analytical/ Routine Manual/ Cognitive Communication Managers/prof/tech 0.807 0.343 0.478 Clerical/sales/operators 0.415 0.664 0.358 Services/construct/transp 0.322 0.451 0.737 Average Specialization 0.493 0.505 0.517 % of Total 32% 34% 34% 33 / 33 G. Basso (BdI) Computerization & Immigration

Natives and Immigrants Tasks: Table Natives and Foreign-born Task Specialization Indexes Analytical Manual Routine Panel A. Natives All 1980 0.321 0.339 0.340 2010 0.370 0.331 0.299 Delta % 15.26-2.36-12.06 Panel B. Foreign-born All 1980 0.292 0.353 0.355 2010 0.313 0.367 0.319 Delta % 7.19 3.97-10.14 33 / 33 G. Basso (BdI) Computerization & Immigration

US and foreign born task specialization and PC adoption EmplSh k c,h,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,h,t (5) for each skill h, CZ c, occupation/task group k between 1980 and 2010. 33 / 33 G. Basso (BdI) Computerization & Immigration Back

US and foreign born task specialization and PC adoption EmplSh k c,h,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,h,t (5) for each skill h, CZ c, occupation/task group k between 1980 and 2010. Analytical Task Routine Task Manual Task Panel A: Natives PC use 0.142-0.255 0.113 (0.036) (0.025) (0.016) Labor Productivity -0.075 0.093-0.018 (0.074) (0.064) (0.044) Obs. 722 722 722 R2 0.52 0.74 0.57 Panel B: Foreign Born PC use 0.078-0.208 0.130 + (0.104) (0.068) (0.066) Labor Productivity -0.318 0.049 0.269 (0.385) (0.148) (0.284) Obs. 722 722 722 R2 0.54 0.40 0.43 Note: 722 CZs, 1980-2010. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

1950-1980 migration and 1980-2010 PCs adoption Pop c,h,t Pop c,1950 = α + β PC use c,1980 2010 + γ Labor Productivity c,1980 2010 + φ s + ε k s,h,t for each skill h, CZ c, occupation/task group k between 1950 and 1980. (6) 33 / 33 G. Basso (BdI) Computerization & Immigration Back

1950-1980 migration and 1980-2010 PCs adoption Pop c,h,t Pop c,1950 = α + β PC use c,1980 2010 + γ Labor Productivity c,1980 2010 + φ s + ε k s,h,t for each skill h, CZ c, occupation/task group k between 1950 and 1980. (6) Low Skilled High Skilled Panel A: Natives PC use 4.565 3.321 (4.946) (3.789) Labor Productivity -4.648-3.541 (8.080) (7.774) Obs. 722 722 R2 0.48 0.51 Panel B: Foreign Born PC use 0.458 0.426 (0.761) (0.386) Labor Productivity -0.385-0.479 (1.125) (0.766) Obs. 722 722 R2 0.52 0.54 Note: 722 CZs, 1950-1980. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

US wages and PC adoption log(w) k c,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,t (7) for each skill h, CZ c, occupation/task group k between 1980 and 2010. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

US wages and PC adoption log(w) k c,t = α + β PC use c,t + γ Labor Productivity c,t + φ s + ε k s,t (7) for each skill h, CZ c, occupation/task group k between 1980 and 2010. Manag/Prof Occ Cler/Ret/Prod Occ Serv/Trans Occ PC use 0.046-0.045 0.006 (0.004) (0.006) (0.005) Labor Productivity -0.000 0.031 + -0.002 (0.012) (0.018) (0.016) Obs. 722 722 722 R2 0.66 0.73 0.46 Note: 722 CZs, 1980-2010. Standard errors (in parentheses) are clustered at the state level. **, *, + indicate significance at 1-percent, 5-percent and 10-percent level, respectively. Back 33 / 33 G. Basso (BdI) Computerization & Immigration

Skilled migration: Employment Routine and Analytical Employment w/out and w/skilled Migration 0.35 0.3 0.25 0.2 0.15 0.1 0.6 0.5 Routine Labor Share (no migration) Routine Labor Share (baseline unskilled migration) Routine Labor Share (unskilled and skilled migration) 5 10 15 20 25 30 time Abstract Labor Share (no migration) Abstract Labor Share (baseline unskilled migration) Abstract Labor Share (unskilled and skilled migration) 0.4 0.3 0.2 5 10 15 20 25 30 time Back 33 / 33 G. Basso (BdI) Computerization & Immigration