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counterfactual where we “assign” to firms in the services
sector the same degree of
reallocation as Mexican manufacturing by fixing the firm management score distribution, but
reallocating job shares across this distribution to the same extent as exists in manufacturing.
Intuitively, since more employment is allocated to the relatively better-managed firms in the
sector, this will raise the size-weighted average management score.
To implement this, we split the services sector into twenty quantile bins and calculate the
fraction of employment in the twenty quantiles of the manufacturing firm distribution. The
unweighted mean management in the service sector is 0.446, which rises to 0.520 when
weighted by firm employment size in services. The difference of 0.074 shows substantial
reallocation towards better-managed
firms in the service sector,
albeit less so than in
manufacturing.
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Re-weighting by manufacturing shares implies
an increase in the weighted
management score in services of 0.039 (from 0.520 to 0.559). Using results from column (1)
of Table 1, such an increase of management is associated
with an increase in labor
productivity of 4.5% or (using the last column of Table 1) an increase in TFP of 2.2%. These
might seem like small amounts, but consider that the GDP of the Mexican service sector was
US$762 billion in 2019. This implies a growth in output of between $34.2 and $16.7 billion
due to reallocation, which is non-trivial.
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