ANALYSIS
Shadow prices of environmental outputs and production
efficiency of household-level paper recycling units in Vietnam
Nguyen Van Ha
a,1
, Shashi Kant
b,
⁎
, Virginia Maclaren
c,2
a
Forestry University of Vietnam, Xuan Mai — Chuong My — Ha Tay, Vietnam
b
Faculty of Forestry, University of Toronto, 33 Willcocks St., Toronto, Ontario, Canada M5S 3B3
c
Department of Geography, University of Toronto, 100 St. George St., Toronto, Ontario, Canada M5S 3G3
ARTICLE INFO ABSTRACT
Article history:
Received 8 May 2006
Received in revised form 10 May 2007
Accepted 1 June 2007
Available online 13 July 2007
The production efficiency and shadow prices of three environmental outputs (BOD, COD, and SS)
of 63 household-level paper-recycling units, from a recycling craft village in Vietnam, are
assessed A two-stage procedure, linear programming and stochastic estimation, is used to
estimate output distance function. Social capital as a production factor and environmental
outputs are included in the output distance function. Results indicate that production efficiencies
could potentially be improved by 28%. There is a substantial variation in the shadow prices of
environmental outputs among the production units of different types of paper products.
Furthermore, the average shadow prices of the three environmental outputs are all positive. This
indicates a potential for improving environmental quality though introducing pollution-
prevention methods to paper-recycling production processes in Vietnam (e.g., recirculation of
wastewater), and suggests that it may be inappropriate to restrict the shadow prices of
environmental outputs to be non-positive for the analysis of some production processes.
© 2007 Elsevier B.V. All rights reserved.
Keywords:
Efficiency
Environmental outputs
Household production
Output distance functions
Paper recycling
Shadow prices
Social capital
Waste management
Vietnam
1. Introduction
The growing concerns about environmental problems and the
burden placed by industrial activities on environmental quality
have prompted scientists to accommodate joint production of
good and bad outputs into models of productivity and efficiency
analysis. The methods employed include index number
approaches, distance functions, and data envelopment analysis.
Pittman (1983) was the first to extend the multilateral produc-
tivity measurement technique of Caves, Christensen, and
Diewert (1982a,b) to include the possibility of undesirable outputs
in multilateral productivity and efficiency measurement. Since
Pittman's study, many studies (e.g., Färe et al., 1989, 1993, 1996;
Yaisawarng and Klein, 1994) have incorporated undesirable
outputs into efficiency analysis. More recently, there has been
growing interest in using a distance function approach to
incorporate environmental outputs into efficiency measurement
and to derive shadow prices of undesirable outputs (e.g., Färe
et al., 1993; Ball et al., 1994; Yaisawarng and Klein, 1994; Coggin
and Swinton, 1996; Hetemäki, 1996; Hailu and Veeman, 2000).
The main advantage of the distance function approach is
that it allows production modeling of a multi-input and multi-
ECOLOGICAL ECONOMICS 65 (2008) 98 – 110
⁎
Corresponding author. Tel.: +1 416 978 6196.
E-mail addresses: ngvanha@yahoo.com (N. Van Ha), shashi.kant@utoronto.ca (S. Kant), maclaren@geog.utoronto.ca (V. Maclaren).
1
Tel.: +84 91 511 2686.
2
Tel.: 1 416 978 1594.
0921-8009/$ - see front matter © 2007 Elsevier B.V. All rights reserved.
doi:10.1016/j.ecolecon.2007.06.003
available at www.sciencedirect.com
www.elsevier.com/locate/ecolecon