Impact Evaluation of a Cluster Program: An Application of Synthetic Control Methods. Diego Aboal*, Gustavo Crespi** and Marcelo Perera* *CINVE **IDB

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Impact Evaluation of a Cluster Program: An Application of Synthetic Control Methods Diego Aboal*, Gustavo Crespi** and Marcelo Perera* *CINVE **IDB

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 2

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 3

Impact Evaluation of a Cluster Program Motivation o Cluster develpment programs (CDP) are widespread around the world, including Latin America o Clusters are agglomeration of firms around specialized productive activities. Usually they take place at sub-national levels. o Cluster policies: resolve coordination failures among firms and between firms and governments in order to guarantee the provision of club goods needed for the competitiveness of the agglomeration. o Only a few impact evaluations available worldwide: e.g. Figal-Garone et al. (2015), Martin et al. (2011), Nishimura and Okamuro (2011), Falck et el. (2010). o Most of them do not account for indirect or total effects of CDPs. A few exceptions: Boneu et al. (2014), Figal-Garone et al. (2015), Castillo et al. (2015). 4

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 5

Impact Evaluation of a Cluster Program Objective * Evaluate the impact of a Tourism Cluster Program in the Region of Colonia, Uruguay. * We want to estimate the aggregate effect and not only the one on firms that directly participated in cluster s activities (this is very important given that these programs work through spillovers). 6

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 7

Impact Evaluation of a Cluster Program The program PACC Program Cluster selection First stage Strategic Plan Participating Agents: Leader enterprises Public sector Support institutions Consultants Sign of agreements and call to specific projects Second stage Policies Network Projects Other Projects Strengthening of Institutions Co-funding o IDB supported program. Several initiatives that required about US$ 900,000. Start 2007, most of them implemented in the period 2008-10. o Projects: Development of a common trademark, benchmarking exercises with other similar regions around the world, promotion activities, introduction of new marketing technologies, English training for 8 employees, etc..

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclussions 9

Impact Evaluation of a Cluster Program Data o Main data sources: Encuesta de Turismo Receptivo, 2000-2016, and Household surveys. o Information for Uruguay s seven main touristic destinations: Colonia, Punta del Este, Montevideo, Costa de Oro, Pirápolis, Rocha and the thermal littoral. o Quarterly information about number of visitants, tourists expenditures and 10 average days of stay of visitants.

Impact Evaluation of a Cluster Program Data Number of Tourists: Colonia vs. the Other Regions 80 1.000 900 800 700 600 500 400 300 200 100 0 70 60 50 40 30 20 10 2000q3 2001q2 2002q1 2002q4 2003q3 2004q2 2005q1 2005q4 2006q3 2007q2 2008q1 2008q4 2009q3 2010q2 2011q1 2011q4 2012q3 2013q2 2014q1 2014q4 2015q3 2016q2 0 Tourists: Colonia (thousands) Tourist: Rest of regions (right axis) 11

Impact Evaluation of a Cluster Program Data 30 Total tourists expenditure: Colonia vs. the Other Regions 700 600 500 20 400 300 10 200 100 0 2000q3 2001q2 2002q1 2002q4 2003q3 2004q2 2005q1 2005q4 2006q3 2007q2 2008q1 2008q4 2009q3 2010q2 2011q1 2011q4 2012q3 2013q2 2014q1 2014q4 2015q3 2016q2 0 Spending: Colonia (millions of USD) Spending: Rest of regions (right axis) 12

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 13

Empirical Strategy o We are interested on the impacts of a policy intervention that take place at an aggregate level and affect a geographical area. o The treatment unit and potential controls are aggregated units (regions). o Abadie and Gardeazabal (2003) and Abadie et al. (2010) propose a datadriven procedure to construct suitable comparison groups: Synthetic Control Method (SCM)

Empirical Strategy o The idea behind the SCM is that a combination of control units often provides a better comparison for the unit exposed to the intervention than any single unit alone o A Synthetic Control is a weighted average of available control units that resembles the treated unit in the pre-treatment period (makes explicit the relative contribution of each control units) o SCM extends the traditional difference-in-differences framework, allowing that the effects of unobserved variables on the outcome vary with time. o And propose a method to perform inferential exercises about the effects of the intervention of interest (potentially informative regardless of the number of available comparison units).

Synthetic Control Methods (inference)

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 17

Results: Number of international tourists o Pre-treatment period: 2000q3-2007q4 o Post-treatment period: 2008q1-2016q3 o Treated Unit: Colonia o Donors: 6 touristic regions (Punta del Este, Montevideo, Costa de Oro, Piriápolis, Rocha, Littoral) o Outcome variable: Number of international tourists o Predictors: outcome variable for each of the pre-intervention years, expenditure per tourist in 2007 and the average 2005-2007 household income (we have also performed robustness checks including other variables like, informality, employment).

Results: Number of international tourists Table 1: Syntethic Colonia (regions weights) Tourist Region Weights Punta del Este 0.00 Montevideo 0.02 Costa de Oro 0.56 Piriapolis 0.00 Rocha 0.20 Litoral 0.22

Results: Number of international tourists Table 2: Predictors means before treatment Average of the rest Tourist Regions Synthetic Colonia Colonia Tourists (thousands) 2000q3-2000q4 42.3 78.8 44.3 2001q1-2001q4 40.7 72.3 38.2 2002q1-2002q4 27.6 58.7 28.8 2003q1-2003q4 19.1 47.2 21.9 2004q1-2004q4 23.2 58.8 26.9 2005q1-2005q4 26.1 66.4 27.2 2006q1-2006q4 25.8 66.0 26.3 2007q1-2007q4 24.1 64.3 23.2 Spending (millions of USD) 2000q3-2000q4 8.6 31.3 10.2 2001q1-2001q4 6.5 22.7 7.8 2002q1-2002q4 3.6 16.8 5.2 2003q1-2003q4 1.9 11.4 2.8 2004q1-2004q4 3.3 15.4 3.8 2005q1-2005q4 4.5 19.7 4.3 2006q1-2006q4 4.5 21.9 5 2007q1-2007q4 5.2 26.6 5.4 Spending per tourist (thousands of USD) 2001q1-2007q4 193.1 344.9 217.7 Per capita household income (USD) 2005q1-2007q4 725.6 825.8 751.2

Results: Number of international tourists Figure 2: Colonia vs Synthetic Colonia 2000q1-2016q3 Tourists (thousands) 20 40 60 80 2000q1 2005q1 2010q1 2015q1 quarter Treated Synthetic Control

Results: Number of international tourists Figure 2: Colonia vs Synthetic Colonia 2000q1-2016q3 Effect - Tourists (thousands) -10 0 10 20 30 Average effect = 14 thousands per quarter (24% increase in the period) 2000q3 2001q2 2002q1 2002q4 2003q3 2004q2 2005q1 2005q4 2006q3 2007q2 2008q1 2008q4 2009q3 2010q2 2011q1 2011q4 2012q3 2013q2 2014q1 2014q4 2015q3 2016q2 2017q1 quarter

Results: Number of international tourists Table 3: Root Mean Square Error of Prediction (pre and post intervention, and ratio): Colonia vs Placebos Región Colonia 2.7 16.6 6.1 Punta del Este 14.0 17.2 1.2 Montevideo 28.9 48.7 1.7 Costa de Oro 1.6 9.1 5.5 Piriápolis 2.1 8.3 3.9 Rocha 2.9 11.5 3.9 Litoral 15.1 30.4 2.0 p-values: 0

Rubustness Table 4. Robustness of the significance of the impact to the exclusion of regions from donor group Excluding from donors: Costa de Oro 0.2 Rocha 0.0 Litoral 0.0 Costa de Oro, Rocha 0.0 Costa de Oro, Litoral 0.3 Rocha, Litoral 0.0 Costa de Oro, Rocha, Litoral 0.0

Rubustness Table 4. Robustness of the impact to the starting date 20 40 60 80 synthetic Colonia: placebo starting date (1/2/3/4 year before) Colonia Synth_2008 Synth_2007 Synth_2006 Synth_2005 Synth_2004 2000q1 2005q1 2010q1 2015q1 quarter -10 0 10 20 30 estimated effect: placebo starting date (1/2/3/4 year before) 2000q1 2005q1 2010q1 2015q1 quarter

Results: Total expenditure Table 4. Colonia vs. Synthetic Colonia Spending (million USD) 0 10 20 30 2000q1 2005q1 2010q1 2015q1 quarter Treated Synthetic Control

Results: expenditure per tourist Table 4. Colonia vs. Synthetic Colonia.1.2.3.4.5 2000q1 2005q1 2010q1 2015q1 quarter Treated Synthetic Control

Impact Evaluation of a Cluster Program Roadmap 1. Motivation 2. Objectives 3. The program 4. Data 5. Methodology 6. Results 7. Conclusions 28

Conclusions o Limitations: the pool of donors is small. o Positive impact of the cluster program on the inflow of international tourists to Colonia. o The estimated impact was of 14 thousands tourists per quarter between 2008 and 2015, which represent a 24% increase in the number of tourists in the period. o In addition, we did not find a significant impact on the total expenditure. o This could be explained by a composition effect in the total number of tourists arriving to Colonia? o Probably the incremental number of tourists was concentrated in segments of lower relative income. o Or alternatively, that due to the border mobility and foreign exchange restrictions in Argentina, there was a negative effect on the expenditure per tourist (less days of stay and/or fewer resources spent).

Thank you for your time!

Synthetic Control Methods Following Abadie et al. (2010) we define D jt as the indicator of treatment for region j at moment t. The observed outcome variable Y jt equals the sum of the effect of the treatment (α jt D jt ) and the counterfactual Y N which is specified as a factor model: (1) Because only the first region (i=1) is exposed to intervention and only after period T 0, we have that:

Synthetic Control Methods We want to estimate But we just need to estimate the unobserved counterfactual If there are such that: (2) Under standard condition will be close to zero if the number of pre-intervention periods is large relative to the scale of the transitory shocks. Then

Synthetic Control Methods (estimation) So, choosing a syntethic control which can fit Z 1 and a set of pre-intervention outcomes (Y 11, Y 12,, Y 1T0 ), we are able to obtain an estimate for the counterfactual whose bias can be bounded by a function that goes to zero as the number of pretreatment periods increases Let predictors X comprised of Z and the set of preintervention outcomes W* is chosen to minimize the distance: V is a matrix of predictor weights that prioritizes which variables to match better.