environmental regulations and technological change in the

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DRAFT Environmental Regulations and Technological Change in the Offshore Oil and Gas Industry: Rethinking the Porter Hypothesis Shunsuke Managi 1 , James J. Opaluch 1 , Di Jin 2 and Thomas A. Grigalunas 1 1 Department of Environmental and Natural Resource Economics University of Rhode Island Kingston, Rhode Island 02881 2 Marine Policy Center Woods Hole Oceanographic Institution Woods Hole, Massachusetts 02543 This research was funded by the United States Environmental Protection Agency STAR grant program (Grant Number Grant Number R826610-01) and the Rhode Island Agricultural Experiment Station (AES # XXXX), and is Woods Hole Contribution Number 10704. The results and conclusions of this paper do not necessary represent the views of the funding agencies. April 2002

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DRAFT

Environmental Regulations and Technological Change

in the Offshore Oil and Gas Industry:

Rethinking the Porter Hypothesis

Shunsuke Managi1, James J. Opaluch1, Di Jin2 and Thomas A. Grigalunas1

1Department of Environmental and Natural Resource EconomicsUniversity of Rhode Island

Kingston, Rhode Island 02881

2Marine Policy CenterWoods Hole Oceanographic Institution

Woods Hole, Massachusetts 02543

This research was funded by the United States Environmental Protection Agency STAR grantprogram (Grant Number Grant Number R826610-01) and the Rhode Island AgriculturalExperiment Station (AES # XXXX), and is Woods Hole Contribution Number 10704. Theresults and conclusions of this paper do not necessary represent the views of the fundingagencies.

April 2002

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1

Environmental Regulations and Technological Change in the Offshore Oil and Gas Industry: Rethinking the Porter Hypothesis

Shunsuke Managi, James J. Opaluch, Di Jin and Thomas A. Grigalunas

ABSTRACT: Technological progress can play a key role in maintaining a high standard of living

while addressing environmental problems. Well-designed environmental regulations encourage

technological innovation, while poorly designed regulations can inhibit technological progress.

Indeed, the well-known Porter hypothesis suggests that environmental regulations could

conceivably spur technological growth, leading to a win-win solution with a long-term increase

in productivity of market outputs, while also providing greater environmental protection. We

recast the Porter hypothesis to consider productive efficiency of multi-product production

function, which includes both market and non-market outputs. We apply Data Envelopment

Analysis (DEA) techniques to a unique field-level data set to measure changes in total factor

productivity (TFP) in the oil and gas production in the Gulf of Mexico outer continental shelf.

We test the direction of causality between technological innovation and environmental

regulation, and find support for the recast version of the Porter hypothesis.

JEL codes: O32, O38, L71

Keywords: Total Factor Productivity; Technological change; Porter hypothesis; Offshore oil

and gas industry.

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I. Introduction

Technological progress can play a key role in the resolving environmental problems

while maintaining productivity. However the extent of its contribution depends on how well

environmental policies are designed and implemented. Successful environmental policies can

contribute to technological innovation and diffusion (Kneese and Schultze, 1978; Jaffe, Newell

and Stavins, 2002), while poor policy designs can inhibit innovation.

Conventional wisdom suggests that environmental regulations impose significant costs

on industry, adversely impacting productivity (e.g., Palmer, Oates and Portney 1995). Recently,

however, researchers have challenged this conventional view with an alternative hypothesis that

environmental regulations can encourage innovation, potentially resulting in increased

productivity and ultimately higher profits. This is the well-known Porter hypothesis (Porter,

1991; Porter and van der Linde, 1995)1. Some studies have confirmed that, in principle, market

failure associated with technological innovation (e.g., Romer, 1990) can imply circumstances

under which environmental regulations can benefit industry (Ulph 1996; Simpson and Bradford

1996; Bovenberg and Smulders 1996; Xepapadeas and De Zeeuw 1999; Mohr, 2002).2 Where

these circumstances hold, well designed environmental regulations can lead to solutions whereby

efficiency is increased in both market and nonmarket outputs. However, there is a broader class

of problems where environmental regulations can potentially result in increased social efficiency

1 Jaffe, Newell and Stavins (2000) and Kemp (1997) provide thorough surveys of the literature relating policy,

technological change, and the environment.2 Simpson and Bradford (1996) and Ulph (1996) rely on a two-country, game-theoretic framework where each

country hosts one producer. Gains come from exploiting market power, so the models apply only to a subset ofenvironmental industries. Bovenberg and Smulders (1996) explore the role of environmental policy in anendogenous growth model and characterize conditions under which more stringent policies are likely to leadhigher growth. Mohr (2002) derives the results using a less restrictive model starting with the observation thatnew productive capital is often less polluting than prior generations of capital as in Xepapadeas and De Zeeuw(1999). Using a general equilibrium model with a large number of agents, the model shows that environmentalpolicy can simultaneously increase productivity and welfare. These gains come even without accounting for thevalue of a cleaner environment.

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in the joint production of market and non-market products, so that if there is a decrease in in

productive efficiency of market outputs, it is made up for by increased productivity in non-

market, environmental outputs.

This paper explores these issues using a unique micro-level data set for offshore oil and

gas production in the Gulf of Mexico. We recast the Porter hypothesis to calculate productivity

change in a joint production model, with a vector of market and non-market outputs. We also

test for the causal directions between technological change and environmental regulations. We

find no support for the increased productivity of market outputs as stated by the standard Porter

hypothesis, but we find support for the Porter hypothesis recast in terms of joint production of

/market goods and environmental commodities.

An important challenge faced in empirical tests of the Porter hypothesis is identifying the

direction of causality between technological innovation and environmental regulations. New,

tougher environmental regulations might spur research and development efforts leading to

innovation. But at the same time, technical innovations, especially those in pollution control

technologies, may lead federal agencies to develop tougher environmental regulations that

capitalize on these new technologies (e.g., Meyer, 1993). For example, U.S. EPA’s technology-

based standards are based on concepts like Best Conventional Technology (BCT) or Best

Available Technology (BAT). The stringency of new regulations will reflect the technologies

known at the time of implementation. Because causality between regulations and innovation

may go in either (or both) directions, it is important to identify the direction of causality between

regulations and advances in environmental technologies.

Literature Review

Historically, technological change was modeled by simply observing that productivity

changed over time (e.g., Solow, 1957). The use of time as the sole “explanatory” variable for

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technological change has been recognized as merely a “confession of ignorance” (e.g., Arrow,

1962), in that it doesn’t contribute to an understanding the innovation process. Clearly, new

technologies do not occur exogenously over time, but are, in part, a result of conscious and

costly efforts in research and development (R&D).

Many empirical studies have used patents and R&D expenditures as proxies of

technological innovation. While these proxies provide some insights into technological change,

they also have important limitations. R&D expenditures indicate the effort expended in the

search for new technology, and so provides a measure of inputs to innovation, but R&D

expenditures are not necessarily a good proxy for innovation. Many firms conduct R&D

fruitlessly for years, and some innovative firms create major breakthroughs with little officially

recorded R&D. The measurement issues are especially troublesome for analyses that capitalize

on long time series of data. New discoveries based on past knowledge may lead to positive

feedbacks that imply an accelerating productivity of R&D (e.g., Romer, 1990). Or there could

be eventual limits to productivity, which imply a diminishing rate of productivity (e.g., Griliches,

1994). For these or other reasons, the relationship between R&D expenditures and innovation

may vary systematically over time so that R&D expenditures could be a misleading measure of

innovation rates.

Similarly, use of patents as a proxy for technological change also has important

drawbacks. Many patents never see commercial application, many innovations are not patented,

and some are subdivided into multiple patents, each covering one or more aspects of the

innovation. Changes in patent policies over time may again make patent counts a misleading

measure of innovation, particularly over long time periods. In response to these issues,

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refinements of patent counts use citations as a weight to the patent (see Hall, Jaffe and

Trajtenberg, 2001).

Moss (1993) and Cuddington and Moss (2001) provide further refinement of measures

of technological change by counting the number of innovations actually implemented each year

by companies in an industry, as reported in trade journals. This represents a significant advance,

but a simple innovation count treats all innovations as having an equivalent importance. In fact,

various new technologies have vastly different levels of significance. A small number of major

breakthroughs may have larger productivity effects than a larger number of incremental

innovations.

We extend innovation counts as a measure of technological change into an importance-

weighted index using the results of an industry survey regarding the importance of specific

technological innovations, both in the short term and the long term. Our technological index is

described in more detail further below.

Empirical investigations of the relationship between the stringency of environmental

regulation and development of new technologies has increased over the last few decades.

Limited evidence that suggests that patent counts and research & development (R&D)

expenditures increase with stringency of environmental regulation. For instance, Lanjouw and

Mody (1996) conducted a study of Germany, Japan, and the U.S., which finds a positive

relationship between environmental compliance cost (a proxy for environmental regulation

stringency) and patenting of new environmental technologies3. In addition, Jaffe and Palmer

(1997) used US data to investigate the relationship between environmental compliance

3 Lanjouw and Mody (1996) analyze the impact of increase in environmental compliance cost of the patenting of

environmental technologies using international data. Lanjouw and Mody provide support the “weak” version ofthe hypothesis which Jaffe and Palmer (1997) defined the weak version of the Porter hypothesis is thatenvironmental regulation stimulates only certain kind of innovations, which are environmental innovations.

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expenditures and R&D expenditures. Here results show no significant relationship between

environmental compliance cost and patents. However, they found a significant relationship

between compliance costs and R&D expenditure (Jaffe and Palmer, 1997)4.

Jaffe et al. (1995) review empirical studies on this subject, and show that environmental

regulations reduce productivity in the industries. For example, Jorgenson and Wilcoxen (1990)

develop a model to analyze the impact of environmental regulations in the U.S. and conclude

that a long-run cost of environmental regulation is a reduction of 1.91% in the level of the U.S.

gross national product. The recent study by Berman and Bui (2001) of the US oil refiners

indicates suggests that environmental regulation is productivity enhancing. These studies,

however, have been criticized for not considering the full range of impacts of environmental

regulations, including possible positive external impacts on other producers (e.g., Barbera and

McConnell, 1990; Repetto, 1996).

Substantial efforts have been made to regulate pollution in most industrialized countries,

and the stringency of pollution regulations have continued to increase worldwide. And many

economists subscribe to the idea that painful consequences of environmental regulations cannot

easily be avoided, since environmental regulation involves additional cost to industry (Jorgenson

and Wilcoxen, 1990; Portney 1994; Palmer, Oates and Portney 1995; and Jaffe et. al. 1995).

What appears to be the important issue is how to foster compatibility between environmental

regulation and technological innovation (& productivity) in order to control the adverse impact

on industry to the extent feasible. Thus, environmental regulations that encourage technological

change can contribute to a least-cost resolution of environmental problems, while regulations

4 Jaffe and Palmer (1997) consider two measures of innovative activity: total private expenditures on R&D and

the number of successful patent applications by domestic firms in an industry. Both of them includesenvironmental and non-environmental value.

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that inhibit technological change may lead to substantially higher costs. Success in this regard

will clearly depend on how environmental regulations are designed and implemented.

The controversy regarding the Porter Hypothesis is generated, in part, by a lack of

convincing empirical evidence. It is therefore necessary to examine the economic and social

impacts of specific regulations. In this paper we use a unique micro-level data on offshore oil

and gas production in the Gulf of Mexico to measure technological change to test the Porter

hypothesis. We estimate the relationship between environmental regulations and productivity in

the offshore oil and gas industry in the Gulf of Mexico, considering the impacts on market

outputs and on joint production of market and environmental outputs.

We apply a mathematical programming technique called Data Envelopment Analysis

(DEA) (see, for example, Charnes et al, 1978, Färe et al, 1985) to compute the total change in

productivity over time. We decompose these components to provide a better understanding of

the relative importance of various productivity effects over the study period, so as to identify the

relative impact of innovation, or the creation of new technologies, diffusion of existing

technologies and non-structural productivity effects, such as so-called learning-by-doing.

We then apply these indices to analyze the link between environmental regulation and

industrial performance. In the short term, more stringent environmental regulations clearly

reduce total factor productivity (TFP) in production of market outputs. With technological

change, however, the short-run cost of regulation could conceivably be offset if they stimulate

innovation and increase productivity in long term. In this context, environmental regulation may

provide a win-win solution, as suggested by the Porter hypothesis. We allowed for the dynamic

aspect of the Porter hypothesis to be tested by examining the impact of environmental regulation

adopted in a given year on technological change and productivity through the period when the

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8

impact dissipates. This allows us to identify both the immediate impact of regulations on

productivity, as well as the longer-term impacts.

Some scholars challenge Porter’s hypothesis arguing that technological change precedes

and drives high environmental stringency (e.g., Meyer, 1993) as implied by environmental

Kuznets curve5. The environmental Kuznets curve is based on the observation that high level of

economic development, coupled with increased environmental awareness and better technology,

may result in an increase in demand for environmental quality, and a subsequently increase in the

stringency of environmental regulations. Or an increasing rate of technological change may

otherwise cause regulatory agencies to increase the stringency of environmental regulations. For

example, U.S. EPA’s technology-based standards are based on concepts like Best Conventional

Technology (BCT) or Best Available Technology (BAT), which change over time as new

technologies are developed and implemented. Thus, advances in technology could cause more

stringent environmental regulations.

Thus, when testing the Porter hypothesis it is critical to identify the direction of causality

between environmental regulations and advances in environmental technology, because causality

between regulations and innovation may go in either (or both) directions. These questions seek

empirical answers, and our study attempts to contribute to the literature, empirically and

methodologically.

III. Modeling

Data Envelopment Analysis

Production frontier analysis provides the Malmquist indexes (e.g., Malmquist, 1953;

Caves et al, 1982a, 1982b), which can be used to quantify productivity change and can be

5 Note environmental Kuznets curve test is also suggested to consider both directions using system of equation

(Stern 1998).

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9

decomposed into various constituents, as described below. Malmquist Total Factor Productivity

(MTFP) is a specific output-based measure of TFP that includes all categories of productivity

change, measured as the ratio of two associated distance functions (e.g., Caves et al, 1982a,

1982b). Under Variable Returns to Scale (VRS) following Ray and Desli (1997), the Malmquist

index can be decomposed into measures associated with technological change, efficiency change

and scale change:

MTFPVRS = TCVRS · ECVRS · SCVRS.

where TCVRS is technological change under VRS, ECVRS is efficiency change under VRS and

SCVRS is scale change6. Technological change measures shifts in the production frontier.

Efficiency change measures changes the position of a production unit relative to the frontier, so-

called “catching up” (Färe et al. 1994). Scale change measures shifts in productivity due to

changes in the scale of operations relative to the optimal scale.

In the endogenous growth theory framework, technological change is decomposed into

two categories: innovation and learning-by-doing (e.g., Young 1993). This relates to the two

models of technological change—innovation (e.g., Romer, 1990), that focuses on the creation of

distinct new technologies, and learning-by-doing (e.g., Arrow, 1962), that looks at incremental

improvements in productivity with existing technologies.

We use DEA to calculate these component productivity measures. DEA is a methodology

for organizing and analyzing data, and for identifying best practice frontiers. It represents a set of

nonparametric mathematical programming techniques developed to estimate the relative

efficiency of production units. DEA is not conditioned on the assumption of optimizing behavior

on the part of every individual observation, nor does DEA impose any particular functional form

on production technology. Avoiding these maintained hypotheses may be an advantage,

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10

particularly for analyses with micro data that extend over a long time series, where assumptions

of technological efficiency of each and every production unit in all time periods might be

suspect.

We use several different versions of the model to measure and decompose productivity

changes (Table 1). First, a base model is used to calculate total productivity change, which

measures the total effect of increases in productivity due to improvements in technology for the

multi-production production of market and non-market (environmental) goods. Next we

decompose total TFP change into improvements in productivity for market outputs and

improvements in productivity for environmental outputs:

TFPTotal = TFPMarket · TFPEnvironment,

where TFPTotal is the total measure of TFP, which is a measure of the total change in

productivity, including both increases in productivity of oil and gas (TFPMarket) and increases in

productivity of environmental outputs (TFPEnvironment).

To carry out this decomposition, the first model includes variables that measure

environmental effects: measures of historic pollution outputs from the Gulf of Mexico, and the

second model excludes variables that measure environmental effects. When these environmental

input/output variables are included in DEA, DEA calculates technological change after

accounting for changes in these environmental effects. The DEA results with this model provide

our measure of TFP change for production, which measures increases in productivity after

accounting for environment effects. The environment TFP effect is then calculated as:

TFPEnvironment = TFPTotal / TFPMarket.

6 Unless otherwise indicated, we assume VRS throughout.

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11

Thus, dividing the total measure of productivity change from Model 1 by the productivity

measure from Model 2 provides the measure of the improvement (or decrease) in productivity

due to productivity change in the environmental sector.

Next we decompose these measures of productivity change into indexes that represent

specific technological innovations and a residual, which we generally term learning-by-doing, as

defined in Managi, Opaluch, Jin, and Grigalunas (2001). Thus, the indexes of market and

environmental technological change (Model 1) are decomposed as7:

TCj = TCjInnov · TCj

LBD

where TCj is the index of technological change in sector j (j=market, environmental), TCjinnov is

the technological change associated with identifiable new technologies and TCLBD is the total

index of technological change that cannot be explained by specifically identifiable new

technologies, and includes such factors as learning-by-doing (Arrow, 1962) and other non-

structural factors. Following Managi, Opaluch, Jin, and Grigalunas (2001), we also decompose

the efficiency change (EC) into two indexes representing diffusion of identifiable new

technologies and a residual that is not explained by identifiable technologies.

When analyzing productive efficiency for extraction of non-renewable resources such as

the oil and gas industry, one face challenges not met in typical areas of production of goods and

services. Production from an oil field at some point in time depends upon past production from

the field due to depletion effects, in addition to the technology employed and other geologic

characteristics of the field (e.g., field size, porosity, field depth, etc). Holding inputs constant,

output from a given field follows a well known pattern of initially increasing output, obtaining a

peak after some years of production, then following a long path of declining output. For this

7 Same method is used also for the index of technological change for oil and gas production (Model 4) (see

Managi, Opaluch, Jin, and Grigalunas, 2001).

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reason we measure productivity change by looking at relative productivity across fields of

different vintages, thereby separating productivity effects associated with aging of the field from

effects due to differences in the state of technology.

Chung, Färe and Grosskopf (1997) introduced a directional distance function to include

improvements in environmental outputs under Constant Returns to Scale (CRS)8. In contrast to

the Shepard (1970) output distance function that measures efficiency by expanding all outputs

simultaneously, the directional distance function measures efficiency due to increasing desirable

outputs (market goods) while decreasing undesirable outputs (e.g., pollution emissions). Using

the directional distance function specification, our problem can be formulated as follows. Let

x = (x1,...,xM)∈RM+, b = (b1,...,bL)∈RK

+, y = (y1,...,yN)∈RN+ be vectors of inputs, environmental

output (undesirable output) and market outputs, respectively. Define the technology set (Q) by

Qt = {(xt, bt, yt): xt can produce (yt, bt) }.

Qt represents the set of all output vectors, y and b, which can be produced using the input vector,

x. The directional distance function is defined at t as

},),,(:sup{);,,( ttttttttttod Qgbxygbxy ∈+= φφ

where g is the vector of directions which outputs are scaled. For this output oriented distance

function, we define g=(y, 0, -b), i.e. desirable outputs are proportionately increased, inputs are

held fixed and environmental outputs (pollution) are proportionately decreased.

Since we use a vintage model, the DEA formulation differs from that in Chung, Färe and

Grosskopf (1997). Our DEA formulation is as follows. Let k be field index, t be time (i.e.,

8 Other environmental performance analysis in DEA include Färe, Grosskopf, Lovell and Pasurka (1989), Färe,

Grosskopf, Lovell and Yaisawarng (1993), Coggins and Swinton (1996), Tyteca, (1997), Boyd and McClelland(1999) and Hailu and Veeman (2000).

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year), ik be time of discovery for field k (i.e., discovery year), and jk be the number of years since

discovery of field k (i.e., field year). Thus, for each field, jk = t - ik.

Chung, Färe and Grosskopf (1997) define an output-oriented Malmquist-Luenberger

productivity index that is comparable to the Malmquist productivity index, but that includes

productivity changes with respect to both desirable and undesirable outputs. In the vintage

model, we consider all fields discovered in the same year a vintage group, and we calculate the

distance function for each discovery year (i), or vintage group. We then calculate the Malmquist

productivity index by comparing distance functions in two different vintages (i and i+1).

Consider discovery year i, the distance function for field k’ in field year j’ is calculated as

',''''''''''' max)]|g;,,,([ jki

jki

jki

jki

jki

jk

to VRSd φ=baxy

subject to( )

', '' '

( ) 0(1 ) 0, 1,..., ,

J kk j i i

k j n kj kjnk K i j

y y n Nφ λ∈ =

− + + ≥ =∑ ∑

,,...,1,0)1()(

)(

0''

',' Llbb i

kjliKk

kJ

jkj

i

ljk

jk ==−− ∑ ∑∈ =

λφ

,,...,1,0)1()(

)(

0''

',' Mmxx i

kjmiKk

kJ

jkj

i

mjk

jk =≥−− ∑ ∑∈ =

λφ

,,...,1,0)1()(

)(

0''

',' Ggaa i

kjgiKk

kJ

jkj

i

gjk

jk =≥−− ∑ ∑∈ =

λφ

),(,...,1),(,1)(

)(

0

kJjiKkiKk

kJ

jkj =∈=∑ ∑

∈ =

λ

).(,...,1),(,0 kJjiKkkj =∈≥λ

where a is attributes. K(i) includes all fields discovered in i and J(k) is the last field year for field

k. For the mixed period distance function, we have two vintage years i and i+1. For example,

the output constraint is

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( )', ' 1

' '( 1) 0

(1 ) 0, 1,..., ,J k

k j i ik j n kj kjn

k K i jy y n Nφ λ +

∈ + =

− + + ≥ =∑ ∑

Our vintage model differs from conventional DEA models in two ways. First, for each

year (t), we consider only fields discovered in that year (i = t). Fields discovered in other years

are excluded from calculation of the distance function, although they may be producing at t. In

addition, in the constraints, we summarize across both fields (k) and field year (j), although field

year is not in the discovery year (except j = 0). Thus, we calculate the distance function for each

field k’ in field year j’.

In our study, t and i extend from 1968 through 1995; the vectors of outputs (y and b),

inputs (x) and attributes (a) are listed in Table 1. The weighted innovation index at t is assigned

to vintage group i = t, and held constant for all field years (j) in that group (i). Besides the two

depletion variables, other attribute variables (e.g., water depth) vary across fields, but are

constant over time for a given field. We use cumulative values for inputs (x) and outputs (y),

because for the above technology definition (i.e., x can produce y), it is more appropriate to

express the production relationship on cumulative terms for a nonrenewable industry. For

example, the production in a field at time t is determined by the total number of production wells

previously drilled in the field and total stock depletion in the field to date.

Assessment of the Porter Hypothesis

As discussed above, the Porter hypothesis states that well designed environmental

regulations can spur technological change, in the long run leading to increased productivity and

ultimately to increased profits (Porter, 1991; Porter and van der Linde, 1995). Technological

progress, however, is quite complex and still poorly understood. Contemporaneous analysis of

regulation is needed to find the immediate cost of implementing the regulation. But the ultimate

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impact of environmental regulations will be felt several years later when the induced innovation

process has been completed.

This study tests the Porter hypothesis by examining whether lagged levels of the

stringency of environmental regulations are associated with increases in technological change.

We use two sets of hypothesis tests, one set based on an Almon distributed lag model (Almon,

1965) and a second set based the Granger causality tests (Granger, 1969).

The Almon lag model relates the technological innovation to prior environmental

regulations using the functional specification:

t

N

iitit EP εβα ++= ∑ −

where Pt denotes the productivity index at time t, α is a constant term, Et-i denotes lagged

environmental regulation index, βi is the coefficient of the ith lag and εt is a stochastic term. The

expected dynamic lagged effects of independent variables can be examined by imposing

theoretical restrictions on the coefficients of the lagged values of these variables. In general, the

Almon polynomial distributed lag model is an estimation procedure for distributed lags that

allows the coefficients of the lagged independent variables to follow a variety of patterns as the

length of the lags increases. The degree of these polynomials may vary in order to capture the

different lag distributions. An inverted “U” pattern is expected, and a second-degree polynomial

is considered appropriate to characterize the lag structure.

The use of Almon lags requires the determination of the appropriate lag periods.

Following common practice (e.g., Harvey, 1990), we choose the lag length is to minimize the

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Akaike Information Criteria (AIC)9. We use this model as an empirical framework to test the

possible causal linkages between technological innovation and environmental regulations.

We also apply the Granger causality test (Granger, 1969) to examine the direction of

causality between environmental regulations and innovation. The Granger test is related to the

concept of precedence. A time series y1 is said to Granger cause y2 if the prediction of y2 can be

improved upon by the inclusion of lagged values of y1 in the information set used to predict y2.

In our case, the Porter hypothesis is consistent with a finding that lags on the stringency of

environmental regulations have positive and statistically significant coefficients in the equation

for technological change.

Our Granger test proceeds as follows. First, data vectors for productivity change (PC)

and environmental stringency (ES) are partitioned into current values and a series of time lags

[PCt, ESt] and [PC-, ES-], where the superscript indicate PC- and ES- are vectors of lags on

productivity change and environmental stringency. Then the Granger causality test is employed

in the multivariate setting using a vector autoregression (VAR) (Johansen 1988; Johansen and

Juselius 1990). The VAR with this partitioning is represented as follows:

+

=

2

1

2221

1211

εε

ESPC

∆∆∆∆

ESPC

We test the null hypotheses is that stringency of environmental regulations does not

“Granger cause” productivity change (∆12 =0) and the hypothesis that productivity change does

not “Granger cause” environmental stringency (∆21=0) using Wald statistics. The results of these

tests are used to identify the causal influence between environmental compliance and each

component of productivity.

9 Note that this same lag also maximizes adjusted R2, which is an alternative recommended criterion.

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The Porter hypothesis states that well designed environmental regulations could provide a

net positive contribution to future productivity, which is consistent with the sum of the lagged

coefficients being positive. Thus, the Porter hypothesis implies that the net effect of past levels

of environmental regulation has a positive influence on future technological change. In contrast,

the traditional view that environmental regulation can only decrease productivity is consistent

with the result ∆12 < 0.

Our second hypothesis is based on the observation that past levels of technological

change induce future increases in the stringency of environmental regulations (∆21 > 0). This

could be the case, for example, because environmental regulations are technology-based, and

therefore technological advances could result in a subsequent increase in the stringency of

environmental regulations.

ApplicationWe apply the above methods to oil and gas production in the Gulf of Mexico. The Gulf

of Mexico is one of the first areas in the world to begin large scale offshore oil and gas

production. Since then, offshore operations in the Gulf of Mexico have played an important role

in production and stabilization of energy supply in United States. Federal offshore oil and gas

production accounted for 26.3 and 24.3 percent of total U.S. production, respectively (U.S.

Department of Interior, 2001), and the offshore fraction of production has been increasing over

time. Oil and gas production in Gulf of Mexico accounted for 88 and 99 percent, respectively, of

total U.S. offshore oil and gas production through 1997 (U.S. Department of Interior, 2001).

Reducing the environmental impact of offshore operations is among the most pressing

challenges facing the oil and gas industry in U.S. today. In recent decades, environmental

concerns led to numerous new regulations imposed on oil and gas operations. These regulations

provide a basis for many environmental improvements by industry, and compliance has become

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costly and increasingly complex. In 1996, the petroleum industry, including refining, spent as

much on environmental protection as it spent searching for new domestic supplies: an estimated

$8.2 billion (American Petroleum Institute, 2001). Jin and Grigalunas (1993) examine the impact

of environmental regulation on firms in the oil and gas industry using optimal control theory

assuming a constant technology. Their results indicate that rising environmental compliance

costs lead to reductions in investment and production, implying that fewer resources will be

developed over time, and the associated economic benefits will decline.

The command and control method of regulation is used in offshore oil and gas

operations. There has been growing recognition for the need for more cost-effective approaches

to environmental protection. For example, API recently called for “common sense” in

regulations (API, 1996), including a recommendation for more a flexible regulatory framework

in determining how best to meet standards, potentially yielding the same environmental benefits

at lower costs.

Data used in this analysis are obtained from the U.S. Department of the Interior, Minerals

Management Service (MMS), Gulf of Mexico OCS Regional Office. Specifically, we develop

our project database using five MMS data sets:

(1) Production data, including monthly oil, gas, and produced water outputs from every well

in the Gulf of Mexico over the period from 1947 to 1998. The data include a total of

5,064,843 observations for 28,946 production wells.

(2) Borehole data describing drilling activity of each of 37,075 wells drilled from 1947 to

1998.

(3) Platform data with information on each of 5,997 platforms, including substructures, from

1947 to 1998.

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(4) Field reserve data including oil and gas reserve sizes and discovery year of each of 957

fields from 1947 to 1997.

(5) Reservoir-level porosity information from 1974-2000. This data includes a total of

15,939 porosity measurements from 390 fields.

Because the early data did not include environmental reporting, we use the data for 1968-1998

from above data set. Thus, the project database is comprised of well-level data for oil output, gas

output, produced water output, and field-level data for the number of exploration wells drilled,

total drilling distance of exploration wells, total vertical distance of exploration wells, number of

development wells drilled, total drilling distance of development wells, total vertical distance of

development wells, number of platforms, total number of slots, total number of slots drilled,

water depth, oil reserves, gas reserves, original proved oil and gas combined reserves in BOE,

discovery year, and porosity.

Although we have well-level production data, the well level is not a good unit for

measuring technological efficiency due to spillover effects across wells within a given field.

Rather, the field level is a more appropriate unit for measuring technological efficiency. For this

reason the relevant variables were extracted from these MMS data files and merged by year and

field, so that the final data set was comprised of annual data at the field level over a 28-year time

horizon. On average there are 406 fields operating in any particular year, and a total of 10,964

observations.

Our environmental output data set is composed of 33 different types of water pollutants

in the four EPA categories, and oil spill volume from Coast Guard. The four categories are

conventional pollutants, non-conventional organic pollutants, non-conventional metal pollutants

and radionuclides. Conventional pollutants include oil, grease and total suspended solids (TSS).

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20

Non-conventional organic pollutants include benzene, benzo(a)pyrene, chlorobenzene, di-n-

butylphthalate, ethylbenzene, n-alkanes, naphthalene, P-chloro-M-cresol, phenol, steranes,

toluene, triterpanes, total xylenes, 2-butanone and 2,4-dimethylphenol. Non-conventional metal

pollutants include alminum, arsenic, barium, boron, cadmium, copper, iron, lead, manganese,

mercury, nickel, silver, titanium and zinc. Radionuclides include radium 226 and radium 228.

To measure a tendency towards stringent environmental regulation, we use the environmental

compliance cost for preventing water pollution and oil spills. Our environmental compliance cost

is based on ex-ante estimates since we do not have the ex post cost studies10. We compiled a data

file for water pollution and oil spill prevention costs from Federal Register and EPA documents

which contains the ex-ante capital cost and operation and maintenance cost estimates by EPA for

each set of regulations. These environmental regulations require phased implementation over a

period of years and regulations are occasionally revised, which implies a variation in stringency

over time.

Output variables in our model are oil production, gas production, the vector of 33 water

pollution parameters described above and oil spills. Our input variables include number of

platforms, platform size, number of development wells, number of exploration wells, average

distance drilled for exploratory wells, average distance drilled for development wells, untreated

produced water and environmental compliance cost. Field attributes are water depth, initial oil

reserves, initial gas reserves, field porosity, and an aggregate measure of resource depletion,

based on total extraction of oil and gas reserves in the Gulf of Mexico to date for each time

period. Further description of the data is provided in Appendix.

10 Harrington, Morgenstern and Nelson (2000) looked at ex ante cost estimates of environmental regulations to the

ex post cost estimates and compared the accuracy of estimates of the direct costs of more than two dozenregulations. They conclude, at least for EPA and OSHA rules, unit pollution reduction costs estimates are oftenaccurate.

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One goal of the study is to measure productivity effects and decompose the effects into

those associated with specifically identifiable new technologies versus less structural effects,

such as learning-by-doing. First, we adapt Moss’ (1993) methodology to focus on technological

innovation, rather than diffusion, and we extend the index for our full study period, from 1968 to

1998. We modify the Moss index to reflect innovation by counting only the first time a

particular technology is reported, so our index measures technological innovation rather than

diffusion11.

We further refined the Moss innovation count to consider the relative importance of

particular innovations using a study by the National Petroleum Council (NPC). The NPC carried

out an industry survey to analyze the technological needs of the industry and to identify the

expected impact of specific technological innovations, both in the short term and the long term

(National Petroleum Council, 1995). The 89 companies who responded to the survey account for

about 50 percent of total U.S. reserves. We use the results of this industry survey to construct a

cumulative weighted technology innovation index at time t, calculated as12:

.0 1

,,∑∑= =

×=t

tt

I

iti

NWtit

W InnovwInnov

where InnovWt is the cumulative weighted technology innovation index at time t; wi,t is the

weight for technology in category i at time t; InnovNWi,t is the non-weighted technology

innovation count adapted from Moss in category i at time t.

In addition to this weighted innovation index, one important innovation of the recent

decades is the extent of horizontal and directional drilling. Horizontal drilling refers to the ability

to guide a drillstring to deviate at all angles from vertical, which allows the wellbore to intersect

the reservoir from the side rather from above. This allows a much more efficient extraction of

11 Moss (1993) constructs a technology diffusion index that counts technology diffusion as it is reported in

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resources from thin or partly depleted formations. Horizontal drilling is also advantagous for

formations with certain types of natural fractures, low permiability, a gap cap, bottom water, and

for some layered formations. A measure of horizontal & directional drilling13 and our weighted

innovation variable are used in the DEA framework to partition impacts of technological change

into components associated with specific technological innovations and more routine learning by

doing in the following.

IV. Empirical Results

Data Envelopment Analysis

The DEA framework was used to measure productivity change and to carry out the

various decompositions described above, thereby contributing to a better understanding of nature

of technological change for our application. Figure 1 presents the results for total TFP change,

and for TFP change decomposed into the oil & gas, and environmental sectors. Overall, total

TFP increases by about 65% from 1968 through 1995, or a geometric mean of about 1.9% per

year. Over the first 16 years of the time period (1968 through 1984), total TFP increases by

about 17%, or a rate of about 1.0% per year. In the next 10 years (1985 through 1995) total TFP

increases by about 34%, or a rate of about 3.2% per year. This is consistent with the increasing

rate of technological progress that has been observed in the industry (e.g., Bohi, 1997).

The results of TC for total, oil & gas, and environmental sector are presented in Figure 2.

Total, oil & gas production, environmental TC increase by about 48%, 35% and 10% from 1968

through 1995, respectively. Over the 28 year study period, TC change can be partitioned into

81.5 % due to oil and gas production sector, and 18.5% due to environmental sector. Thus, while

there has been significant improvement environmental technology over the study period, it has

industry trade journals.

12 See Managi, Opaluch, Jin and Grigalunas (2001) for precise description.

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23

lagged far behind that for market outputs. This should, perhaps, not be surprising, since the

technology-based standards employed allow little latitude for innovation. Indeed, there could be

a significant disincentive to industry developing new environmental technologies, since

innovation could result in more stringent regulations in the future.

Figure 4 shows the trends for innovation, learning by doing and diffusion for

environmental technologies over period from 1968 through 1995. As discussed above, we find a

much more modest increase in TFP for the environmental sector, as compared to the market

sector (see Figure 3). Innovation, LBD and diffusion increase by about 3%, 7% and 10% for

the study period, respectively. Diffusion plays an important role in environmental TFP over the

whole study period. Ignoring the rapid increase in LBD during the last 3 periods' rapid,

cumulative diffusion effect is about 4.7 and 2.9 times as large as the affect associated with LBD

and innovations on 1993, respectively.

The trend in LBD suggests that despite the fact that environmental regulations are of the

command-and-control variety, to some extent industry is able to moderate the unit costs of

compliance over time. Policy makers can not estimate this LBD compliance cost reduction

effects ex ante, when regulations are being developed, since this LBD effect comes from the

engineer’s and manager's experience after regulations are implemented. This tends to lead to ex

ante estimates that overestimate ex post pollution control costs. Note that our LBD effects are

small compared to diffusion effects, and are much smaller than estimated LBD effects for market

outputs (Manage, Opaluch, Jin and Grigalunas, 2001), suggesting that technology-based

regulations allow relatively little flexibility for cost saving, and ex ante unit cost estimates are

relatively accurate. This is consistent with the results in Harrington, Morgenstern and Nelson

(2000), who conclude that unit pollution reduction costs estimates are often accurate for EPA

13 Appendix A describes the method used for calculating the measure of horizontal and directional drilling.

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24

regulations. The technology-based methods used for offshore operations, limit innovative

approaches to pollution abatement. For example, BAT may lead to the adoption of new

technologies in the short-run, but as Jaffe et al. (2002) point out the long-term effect may be to

discourage innovation simply because emission standards could be tightened each time the firm

identifies a lower cost approach. These findings of modest levels of productivity increases in the

environmental sector are consistent with the conceptual literature, which demonstrates that

incentive-based environmental policies have far greater potential to encourage innovation than

command and control-based policies.

Overall effects on joint production of oil & gas and environmental outputs are presented

in Figure 5. Innovation, LBD and diffusion lead to TFP increases of about 20%, 25% and 30%,

respectively, over the study period. Note that diffusion plays the most important role until the

end of the time horizon, when there is a clear trend towards LBD and innovation. LBD and

innovation increase by about 2.2% and 1.4% per year, respectively. Increase in innovation

mainly comes from oil & gas production sector, rather than the environmental sector. The

increase productivity due to LBD came from both of oil & gas production and the environmental

sector.

Additional insights into the nature of technological change can be obtained by identifying

the extent to which it conforms to Hicks neutrality. Hicks neutrality of technological change for

joint production implies parallel shifts in isoquants on the input side and parallel shifts in the

production possibility frontiers on the output side. In contrast, biases in technological change

imply relative changes in productivity across inputs and/or outputs, which imply non-parallel

shifts of isoquants and/or production frontiers.

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DEA decomposes productivity change into output biased technological change (OBTC),

input biased technological change (IBTC) and magnitude change (MC). However, DEA only

provides overall, absolute measures of input and output biases (Färe and Grosskopf, 1996), in

contrast to the parametric measurements of bias (e.g., Antle and Capalbo, 1988), which provide

relative measures, such as input using or saving for each factor. The DEA measure of OBTC

identifies the extent to which technological change increases productivity of each output relative

to all other outputs. Similarly, IBTC identifies whether technological change increases

productivity of each input relative to all other inputs. When the DEA measures of OBTC and

IBTC simultaneously equal 1, productivity change is Hicks neutral, and productivity change

equals the magnitude change component of the DEA decomposition.

With Model 2 we find an IBTC measure of 1. 81 and OBTC measure of 1. 29. Therefore,

the overall technological change bias index, which is the product of IBTC and OBTC, is 2.32.

Unfortunately, DEA is not a statistical technique, and therefore does not allow one to test for

statistical significance. However, the overall bias index is sufficiently far from one to suggest

that Hicks neutral technological change probably does not hold in Model 2, which includes

market outputs only. In comparison, we find larger biases on both the input and output sides

(IBTC=1.96 OBTC=1.60) for the joint production model, which includes market and

environmental outputs. These higher biases in technological change are consistent with

observation that technological change with respect to market goods is much larger than

technological change with respect to environmental goods, suggesting a bias in technological

change towards market outputs relative to environmental outputs.

Testing the Porter Hypothesis

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As discussed above, the Porter hypothesis is based on the notion that well defined

environmental regulations spur technological change, which could lead to increased productivity

and, ultimately, increased profits for the regulated industry. Below we provide two tests of the

Porter hypothesis. First, we use Almon Distributed lag models to test whether increases in the

stringency of environmental regulations affect various measures of productivity for production of

market goods and for joint production of market and environmental goods.

Next we use Granger causality tests to explore causal directions between changes in

productivity and environmental stringency. To do so, we use technological change (TC) and

total factor productivity (TFP) as dependent variables, and we use lags on environmental

stringency as explanatory variables. When TC is the dependent variable, the model provides a

test of changes in the efficiency frontier, and when TFP is the dependent variable, the model

provides a test for overall changes in productivity, including efficiency change (EF) or “catching

up” by inefficient production units. We also test causality in the other direction, where we test

whether productivity change affects stringency of environmental regulations. One might expect

a positive finding of causality, since new regulations are based on the state of technology. Thus,

improvements in technology could result in subsequent increases in the stringency of

environmental regulations. Additionally, a finding of this sort would provide support for the

environmental Kuznets curve, i.e. a high level of economic development may result in an

increase in demand for environmental quality, thus supporting subsequent increases in the

stringency of environmental regulations.

The standard Porter hypothesis states that productivity of market outputs, hence

profitability, may increase with the stringency of environmental regulations. However, we are

also interested in testing our re-cast version Porter hypothesis, where efficiency is measured with

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respect to the joint production of market and environmental outputs. Thus, we carry out these

tests using productivity measures for market outputs (oil and gas production) only and for joint

production of market and environmental outputs.

The results for the Almon lag model are reported in Table 214. The results for the

relationship between the stringency of environmental regulations and joint production of market

and non-market outputs show a high level of statistical significance. Most individual lag

coefficients are statistically significant at the 5% or 1% level, and the aggregate effects are both

significant at better than the 1% level. The initial lags are negative in sign, indicating that the

immediate effect of environmental regulation is to reduce overall productivity. But the longer

term lags and the sum of all lags are both positive, indicating that increases in the stringency of

environmental regulations lead to long term increases in joint productivity of environmental and

market outputs. The sum of all lags is positive and statistically significant, indicating a net

positive relationship between joint productivity and lags in the stringency of environmental

regulations.

However, the examining lags on market outputs only indicate that changes in

environmental stringency has no significant effect of productivity of market goods in the short

term or in the long term. The individual lags and the sum of all lags are not statistically

significant at standard levels. Hence, our results do not support the standard version of the Porter

hypothesis, which states that increases in the stringency of environmental regulations spur

innovation that leads to increases in productivity of market outputs, thereby leading to increased

profits in the long term.

Next, we apply Granger causality tests to further explore the causal relationships between

the stringency of environmental regulations and various productivity measures. The Granger

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causality test is a more rigorous test than that based on the Almon lag model, discussed above, in

two ways. First, the Granger test identifies whether the lags on the independent variable

(stringency of environmental regulations) adds explanatory power, relative to the model based on

lagged dependent variable (productivity change). Secondly, the Granger test examines causality

in both directions, so that it can potentially distinguish between models where causality goes in

either or both directions.

The first set of hypotheses for the Granger tests relate to the Porter hypothesis. Thus, the

Porter hypothesis is consistent with positive and statistically significant coefficients on lags of

environmental regulations in the regression equation for productivity. The second set of

hypotheses in the Granger tests relate to whether productivity is a determining factor in

determining the stringency of future environmental regulations.

Both sets of null hypotheses are based on non-causality, and are tested using Wald

statistics. So that the Granger causality test is that 'X does not Granger cause Y', and rejecting a

null hypothesis is consistent with a finding of causality. The optimal number of lags is also a

critical issue in Granger causality test. We use a group of information criteria: AIC, Schwarz

Bayesian criteria (SC), and Akaike final prediction error criterion (FPE)15, and we find identical

results for the appropriate lags for each of the three criteria.

As indicated in Table 3, we find that environmental stringency causes TC in the joint

production model, which is consistent with the re-stated version of the Porter hypothesis. In

contrast, we find no significant causality between stringency of environmental regulations and

productivity of market goods, thus rejecting the standard form for Porter hypothesis. Of course,

it should be emphasized that this result is for our application only, and that special circumstances

14 Second degree polynomial with end point restrictions is used. 15 See Giles and Mirza (1999) for discussion about information criteria.

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might lead to this result. For example, environmental regulations in this industry are command-

and-control oriented, so that there is not much flexibility to develop new technologies to comply

with environmental regulations. The results could differ in a context where regulations were

more flexible, such as when financial incentives are employed.

Finally, we test whether higher productivity leads to more stringent environmental

regulations. We also find a causal link from technological change of market outputs to

environmental stringency, but not for joint production. This finding is more consistent with the

environmental Kuznets curve than with technology-based standards.

V. Discussion and Conclusion

Technological progress plays an important role in addressing environmental problems,

while simultaneously maintaining standards of living. Over the past 50 years our profession has

greatly improved our understanding the process of technological innovation. We have

progressed from “confessions of ignorance”, where time is the only “explanatory” variable in

technological progress, towards an understanding of the mechanisms that drive productivity

change and measurement of various components of productivity change.

This paper contributes to the literature on productivity change in several ways. First, we

apply Data Envelopment Analysis to a unique field-level data set to measure various components

of total factor productivity within a joint production model, which considers both market and

environmental outputs. This contributes to our understanding of the impact environment

controls have had on various components of total factor productivity in this industry, and thereby

the potential for technological change to maintain productivity in the face of increasingly

stringent environmental regulations.

The results show an upward trend in productivity in the Gulf of Mexico offshore oil and

gas industry, despite depletion and increasingly stringent environmental regulations. Our

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findings indicate improved productivity of environmental technologies, but environmental

productivity change has lagged behind that for market outputs. Over the 28 year study period,

TFP change can be partitioned into nearly 80% due to oil and gas production sector, and about

20% due to environmental sector. This may be due in part to the command-and-control nature of

most environmental regulations, which allow much less flexibility for innovative solutions, as

compared to that for market outputs.

We also analyzed the contribution of technological change and efficiency change in TFP

both for oil & gas production and for environmental technologies. The former comprises

technological innovation and learning by doing, and the latter technology diffusion and other

factors. We developed an index for decomposing technological change into technological

innovation which is associated with discovery of identifiable new technologies, and learning by

doing, which embodies the less structural components of productivity change. We use this index

to estimate the relative importance of technological innovation, learning by doing and

technology diffusion on TFP. Similarly, we isolated technology diffusion from that the rest of

the factors that impact on efficiency change and subsequently TFP. We compared the relative

impact of these technology indicators on TFP in the industry. The results indicate that diffusion

of technological (especially environmental technologies) had a significantly larger impact on

TFP than technological innovation and learning by doing. This is important for providing an

improved understanding of the process of technological change, and could contribute to design

of effective policy.

Next we apply two models to understand the dynamic relationship between the stringency

of environmental regulations and productivity, and thereby test the Porter hypothesis. The

Porter hypothesis states that well designed environmental regulations could spur innovation,

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leading to long run increases in productivity and hence increased profits for the regulated

industry. We recast the Porter hypothesis to explore the relationship between environmental

regulations and productivity more fully. Specifically, we test whether environmental regulations

enhance joint productivity of environmental and market outputs, in addition to the standard

Porter hypothesis which applies to productivity of market outputs only.

Our results support the recast version of Porter hypothesis, which examines productivity

of joint production of market and environmental outputs. But we find no evidence for the

standard formulation of the Porter hypothesis, which states that increased stringency of

environmental regulation leads to increased productivity of market outputs. This finding could

be due in part to the command-and-control design of environmental regulations in offshore oil

and gas, which historically has not provided much latitude for innovation in achieving

environmental goals. Flexible environmental regulations are required to provide incentives for

innovation, which could result in a net positive effect on productivity. In contrast, inflexible

technology-based environmental regulations are less likely to contribute to innovation.

This suggests that we must be careful to maintain a realistic view of the potential for

environmental regulations. An overly naïve conviction that there exists a near universal potential

for win-win solutions in environmental problems could be used to justify poorly conceived

environmental policies.

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Appendix. Data Construction

Data used in this analysis are obtained from the U.S. Department of the Interior,

Minerials Management Service (MMS), Gulf of Mexico OCS Regional Office. Relevant

variables are extracted from these MMS data files and merged by year and field. Using these

variables, the Gulf of Mexico regional new resource discovery and depletion over time are

constructed. The variable for horizontal & directional drilling is defined as the ratio of total

drilling length to vertical drilling length. Larger values imply a higher ratio of horizontal &

directional drilling relative to vertical drilling. We take cumulative input value data, as literature in

the oil and gas supply suggest, for well, drilling, horizontal & directional drilling.

Drilling is assumed to affect output starting the following year, since current drilling does

not affect current production. So well inputs in period t is determined by cumulative drilling

through period t-1. At any point in time ultimately recoverable resources are not known. Rather, the

remaining resource is estimated using current economically (not physically) known reserve stock

minus resources produced to date. We also take cumulative value for output variables including oil,

gas production to take account of the technological characteristics. We measured depletion effect on

the remaining stocks of oil and gas in the Gulf of Mexico at period t-1 by expressing it as a ratio of

terminal production. This captures the effects how difficult the new discovery is in the Gulf of

Mexico.

DEA requires the data on input usage and on characteristics that determine output.

Therefore, we created the water depth input as maximum water depth in the Gulf of Mexico minus

water depth in each field since production is more difficult in deeper water depth in given

technology. Units of oil and gas production are barrel and thousand cubic feet, respectively.

Platform size is defined as average number of slots per platform for the field. Units of oil and gas

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reserves are million barrel and billion cubic feet, respectively. Units of remaining oil and gas

reserves in the Gulf of Mexico, and porosity are measured in percent terms. Missing porosity is

estimated using two-step estimation procedure to correct for this omitted variable problem

(Heckman 1979; Greene 1981) (see precise statistics in Managi, Opaluch, Jin and Grigalunas,

2001). The data source of water pollution includes EPA regulations. All of water pollution data

are concentration units and are multiplied to untreated produced water, where MMS is the data

source, in field level as a pollution output, assuming pollution concentration is constant over

fields each year since we do not have field base pollution concentration data. More precise

description of data is in Managi (2002).

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Table 1. Model Specifications

Model 1 Model 216 Model 3 Model 4

Index calculated:

BaseModel:TotalTFP

ProductionTFP

InnovationLBD &

Diffusion(Total)

InnovationLBD &

Diffusion(Oil &Gas)

Output VariablesOil production (bbl) X X X X

Gas production (Mcf) X X X XWater Pollution X X

Oil Spill X XInput Variables

Number of platforms X X X XAve. Platform size (#slot /

#platform) X X X X

Number of exploration wells X X X XNumber of development wells X X X XAverage Drilling Distance for

Exploratory Wells X X X X

Average Drilling Distance forDevelopment wells X X X X

Produced Water X X X XWeighted Innovation Index X X

Horizontal & Directional Drilling(Exploratory) X X

Horizontal & Directional Drilling(Development) X X

Environmental Compliance Cost X XAttribute Variables

Water Depth X X X XDepletion Effects (Oil) X X X XDepletion Effects (Gas) X X X XOil Reserves in the Field X X X XGas Reserves in the Field X X X X

Porosity (Field Type) X X X X

16 Model2 and model 4, is analyzed in Managi, Opaluch, Jin and Grigalunas (2001) over 1947-1995.

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0.91

1.11.21.31.41.51.61.7

1965 1970 1975 1980 1985 1990 1995Year

TFP

TFP(Total)TFP(Market)TFP(Environment)

0.91

1.11.21.31.41.51.61.7

1965 1970 1975 1980 1985 1990 1995Year

TC

TCv(total)TC(Market)TC(Environment)

Figure 1. Total Factor Productivity

Figure 2. Technological Change

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0.9

1

1.1

1.2

1.3

1965 1970 1975 1980 1985 1990 1995Year

TFP

Effe

ct

LBD(Market)INNOV(Market)DIFF(Market)

0.9

1

1.1

1.2

1.3

1965 1970 1975 1980 1985 1990 1995

Year

TFP

Effe

ct

LBD(Environment)INNOV(Environment)DIFF(Environment)

0.9

1

1.1

1.2

1.3

1965 1970 1975 1980 1985 1990 1995

Year

TFP

Effe

ct

LBD(Total)INNOV(Total)DIFF(Total)

Figure 3. Market (Oil and Gas Production) Sector

Figure 5. Total Sector

Figure 4. Environmental Sector

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Table 2. Almon Distributed Lags for Impact of Environmental Regulations on AlternativeProductivity Measures

Joint Production ofEnvironmental & Market Outputs

Market Outputs Only

TechnologicalChange

Total FactorProductivity

TechnologicalChange

Total FactorProductivity

TimeLag

0

1

2

3

4

5

6

7

8

-0.185*(-2.04)

0.022***(3.55)

0.122**(2.59)

0.115**(2.46)

-0.376***(-3.52)

-0.110*(1.88)

0.100***(4.94)

0.254***(18.72)

0.352***(10.60)

0.394***(8.79)

0.38***(8.02)

0.31***(7.59)

0.18***(7.32)

0.008(0.06)-0.030(-0.39)-0.030(-0.23)0.008(0.11)

-0.003(-0.02)-0.013(-0.13)0.081(0.08)0.060(0.48)

Sum ofLags

0.075***(3.86)

1.484***(28.46)

0.040(0.42)

0.053(0.84)

Adj. R2 0.361 0.976 0.111 0.112

AIC 88.4 95.1 200.8 172.9

Note: * Significant at 10%, ** Significant at 5%, *** Significant at 1%. t-statistics are reported in parentheses.

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Table 3. Granger Causality Test for Productivity and Environmental Stringency

Null Hypothesis 1 Null Hypothesis 2

Environmental Stringency Productivity Productivity Environmental Stringency

Productivity Measure χ2 Prob. > χ2 χ2 Prob. > χ2

TC 11.72 0.0388 4.27 0.5132Joint Production ofEnvironmental and

Market Outputs TFP 2.51 0.2855 2.00 0.3528

TC 0.97 0.6142 0.55 0.0378Market OutputsOnly TFP 0.23 0.8912 1.07 0.5848