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Industrial Sector Exports in Colombia:
Efficient Frontier Analysis

Jorge A. Restrepo M
Institución Universitaria Autónoma de las Américas

Lorenzo Portocarrero Sierra.
Institución Universitaria Tecnológico de Antioquia

Juan Gabriel Vanegas L.
Institución Universitaria Tecnológico de Antioquia
Schedule

• Abstract
• Theoritical Background
• Methodology
• Results
• Conclusions
Abstract
• In this paper, a comparative analysis is carried
out among the industrial sectors in Colombia
that have the most employees during 20002011. A dynamic simulation is used, and a
Data Envelopment Analysis (DEA) is applied in
order to obtain an overall index of technical
efficiency in Colombia's industrial sectors for
the use of resources. Similarly, an industrial
sector efficiency ranking for exports is drawn
up. This index determines the presence of
unused resources, which is useful to devise
strategies to support exports.
Abstract
• The analysis is based on a Monte Carlo
simulation forecast to determine the average
values of the period for the input variables:
number of businesses, employees, assets, and
energy used to produce the output variables.
That is, gross production and exports. The
purpose is to compare the effectiveness of the
factors of production to generate exports, and
determine the possibility of improving
inefficient sectors. The goal is to participate in
the internationalization process in a proper
way.
General Context
Flexible

Ausencia de errores de
especificación

Información particularizada para cada
UTD
Parametrics

Frontier Analysis

Estocastic Frontiers

Bayesian Estimation

No Parametrics

Eficcient
Technique
Assesment

DEA

Productivity
Assesment

Partial

Global
Malmquist
Multifactorial

Parametrics

Index Number Teory

Other Analysis
No Parametrics

No Parametrics Techniques:
Not require a specific function
Parametrics Techniques: They
do not require a function that
relates the inputs and outputs

Media Function
Amswer

Divisia +
TornqVist
General Context

He established the conceptual basis for the
measurement of efficiency
The differentiate technical efficiency and prices.
Production function, estimation problems

Farrel (1957)
He felt the production function from the
observation of actual units of production
Origin empirical production function and the
concept of relative efficiency
General Context
Technical efficiency
Quantifies the capacity of a production unit to generate the
maximum possible amount of goods using the minimum amount of
resources
Oriented Input: it
measures
the
ability of a unit to
generate
the
largest amount of
goods using a
fixed amount of
resources

Oriented output:
measures
the
ability of a unit to
produce
fixed
assets
(or
services)
using
the
fewest
possible
resources

Nonparametric method: it does not presuppose the existence of an f
(Inputs,
Outputs).
No statistical: assumes not captured efficiency to follow some kind of
probability distribution
General Context
Efficiency price: It measures a
company's ability to produce
goods/services with a maximum
total value through the use of
resources at the minimum
possible cost.

 Input orientation: The ability
of a company to produce
goods with the highest
possible
value
using
a
quantity fixed resources.

It means to achieve the minimum  Output orientation: The ability
cost of producing a given level of
of a company to produce a
product when the proportions of
quantity fixed assets using
the factors of production used are
resources with the lowest
modified.
possible value.
General Context

Fuente; Mercado et al (1998)

Objetivo: medir la eficiencia productiva de ocho Unidades: A, B, C, D, E, F, G y H
Methodology
The analysis is based on a Monte
Carlo simulation forecast to
determine the average values of
the period for the input variables

NE
PO
AT
EC

Inputs
NB: número de establecimientos,
EM: personal ocupado,
AS: activos y
EU: energía consumida
Outputs
GP: producción bruta y
EX: exportaciones.

PB
EX

The purpose is to compare the effectiveness of the factors of production to generate
exports, and determine the possibility of improving inefficient sectors. The goal is to
participate in the internationalization process in a proper way.
Methodology
Sector

Sector's Description

CIIU15

Production of Foodstuffs and Beverages

CIIU24

Manufacturing of Chemical Substances and Products

CIIU17

Manufacturing of Textile Products

CIIU25

Manufacturing of Rubber and Plastic Products

CIIU26

Manufacturing of Other Non-Metallic Mineral Products

CIIU36
CIIU28

Manufacturing of Furniture; Manufacturing Companies
Manufacturing of Products Made of Metal, except Machinery and
Equipment

CIIU29

Manufacturing of Machinery and Equipment

CIIU22

Editing, Printing and Record Playing Activities

CIIU21

Manufacturing of Paper and Paper Products
Results
Inputs
Sector

NB

EM

Outputs
AS

EU

EX

GP

Sectors analyzed with more than 20,000 employees
CIIU15

1.771

152.675

27.407

3.102

4.768

53.715

CIIU24

827

75.554

13.496

1.769

3.053

23.390

CIIU18

1.021

60.705

1.672

130

540

5.197

CIIU25

775

53.208

6.557

1.198

751

8.099

CIIU17

419

45.972

4.635

897

564

4.873

CIIU26

499

38.502

12.022

1.716

470

9.687

CIIU28

740

37.162

2.066

241

278

4.339

CIIU36

698

33.976

1.610

195

375

3.231

CIIU22

683

33.115

2.859

181

186

4.322

CIIU29

585

31.246

1.928

148

409

3.652

CIIU19

410

21.146

602

94

260

1.574
Results
Sector

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

CIIU15

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

CIIU18

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

CIIU24

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

CIIU17

0,5603

0,5786

0,5406

0,5302

0,5534

0,5497

0,6212

0,8117

0,8443

0,6360

0,5659

0,5627

CIIU25

0,5917

0,6329

0,6322

0,6093

0,6260

0,7553

0,7443

0,7045

0,7314

0,6338

0,6812

0,6050

CIIU26

0,6699

0,7238

0,7335

0,7402

0,7274

0,6897

0,7177

0,7503

0,7102

0,6698

0,6812

0,7152

CIIU36

0,6694

0,6126

0,6630

0,6630

0,6337

0,6871

0,9571

0,7328

0,9341

0,8980

0,9005

0,8474

CIIU22

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

1,0000

0,9713

CIIU28

0,7461

0,7938

0,8316

0,8316

0,8575

0,9362

0,9712

1,0000

0,9883

0,8885

0,9005

0,8665
Results
Sector

NE

PO

AT

EC

EX

PB

CIIU15

1.771,00

152.675,00

27.407,37

3.102,46

4.767,82

53.715,18

CIIU24

827,00

75.554,00

13.495,92

1.768,66

3.053,18

23.389,80

CIIU18

1.021,00

60.705,00

1.671,57

130,45

539,55

5.197,12

CIIU25

434,74

32.191,90

3.967,32

441,74

751,22

8.099,34

CIIU17

235,78

18.688,91

2.608,45

321,52

564,27

4.872,76

CIIU26

319,40

27.534,75

4.942,89

559,53

859,87

9.687,47

CIIU28

510,57

32.201,47

1.790,06

177,21

419,00

4.339,23

CIIU36

462,00

28.790,53

1.364,62

142,34

375,20

3.312,50

CIIU22

510,25

32.166,16

1.781,22

176,20

417,53

4.322,43

CIIU29

585,00

31.246,00

1.927,67

148,17

409,16

3.652,15

Porcentajes de Mejora por sector
CIIU15

0,00%

0,00%

0,00%

0,00%

0,00%

0,00%

CIIU24

0,00%

0,00%

0,00%

0,00%

0,00%

0,00%

CIIU18

0,00%

0,00%

0,00%

0,00%

0,00%

0,00%

CIIU25

43,91%

39,50%

39,50%

63,12%

0,00%

0,00%

CIIU17

43,73%

59,35%

43,73%

64,17%

0,00%

0,00%

CIIU26

35,99%

28,48%

58,89%

67,39%

83,13%

0,00%

CIIU28

31,00%

13,35%

13,35%

26,41%

50,77%

0,00%

CIIU36

33,81%

15,26%

15,26%

27,16%

0,00%

2,52%

CIIU22

25,29%

2,87%

37,70%

2,87%

124,03%

0,00%

CIIU29

0,00%

0,00%

0,00%

0,00%

0,00%

0,00%
Resultas
The case of the SECTORS: CIIU25; CIIU17; CIIU26; CIIU28; CIIU36 and
CIIU22; they have been inefficient in 2011.

CIIU1
7

NB:419
EM:45.972
AS:4.653MM
EU:897MM

NB:236
EM:18.688:
AS:2.208MM
EU:321MM

GP:4.873MM
EX:564MM

NB:43.73%->183
EM:59.35%->27.283
AS:43%.>2.027MM
EU62.52%->576MM
Conclusions
• It conducted a comparative analysis between the industrial
sectors of Colombia most employers in the period 20002011; through the dynamic simulation and the DEA (data
envelope analysis) technique, was a global index of
technical efficiency of industrial sectors in Colombia,
showing that more than 60% of the analyzed sectors are
inefficient in the use of NE; PO; EN and EC to generate PB
and EX; which leads to problems of international
competitiveness. This rate determines the presence of idle
resources on scanned Inputs, useful information in the
design of strategies to support the industrial sector to face
the signing of FTA and improve the possibilities of
exporting.
CONCLUSIONS
• The colombian manufacturing system, as a whole it is
inefficient, intends the measurement of efficiency
with the countries which signed FTA to establish
policies and government plans to face international
competition.
• Continuous demonstrations and stoppages of the
conveyor and agricultural sector, it is necessary to
address efficiency diagnostics, micro-level, to enrich
the discussion of the competitiveness of the different
sectors of the Colombian economy.

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