A cointegration analysis of gasoline demand in the United States

Time-series estimation of gasoline demand elasticities often does not take into account the possibility of nonstationarity in the underlying data, which may render the parameter estimates spurious. Studies have shown that the time trending variables used to explain gasoline demand could be difference stationary and therefore, may require cointegration analysis to assess the relationship among the trending variables. In this work we use the cointegration technique to derive long-run and short-run demand elasticities of noncommercial gasoline consumption using time-series data for the USA from 1949 to 2004. We also attempt to incorporate the presence of a structural break in the data generation process of the time trending variables. Our results show that the consumption of gasoline and lifetime income have a long-term stable relationship after the second oil shock of 1978. Prior to the first oil shock of 1973, no such long-run relationship could be established through cointegration.     

An application of dynamic specifications of factor demand equations to interfuel substitution in US industrial energy demand

In a recent paper, Jones (1995) [A dynamic analysis of the interfuel substitution in US industrial energy demand. J. Bus. Econ. Stat. 13 (4), 459–465] presents a dynamic analysis of interfuel substitution in US industry energy demand. The author concludes that a dynamic linear logit model is ‘superior' to a comparable dynamic translog model. The latter in fact violates concavity conditions whilst the logit formulation does not. This paper shows first of all that the dynamic formulation of the translog used in Jones (1995) is mis-specified. In fact, a parsimonious error-correction model (ECM) ‘dominates' alternative dynamic formulations, amongst which the partial adjustment mechanism used by the author. The ECM is able to generate optimal estimates of long-run and short-run elasticities, and it satisfies the concavity conditions of the cost function. Further, the theoretical framework used in this paper is the one recently proposed by Urga (1996) [On the identification problem in testing dynamic specification of factor demand equations. Econ. Lett. 52, 205–210] and Allen and Urga (1998) [Derivation and estimation of interrelated factor demands from dynamic cost function. Forthcoming in Economica]. It allows one to identify all coefficients (long-run and short-run) of the dynamic formulation via the joint estimation of the ‘effective' (short-run) cost function and the set of factor demand equations. This strategy solves, amongst other things, the parameter identification problem within the set of demand equations themselves, an issue which was originally noted by Anderson and Blundell (1982) [Estimation and hypothesis testing in dynamic singular equation systems. Econometrica, 1559–1571], re-addressed by Friesen (1992) [Testing dynamic specification of factor demand equations for US manufacturing. Rev. Econ. Stat. LXXIV (2), 240–250] and, more recently, by Urga (1996) and Allen and Urga (1998).     

Carbon mitigation costs for the commercial building sector: Discrete–continuous choice analysis of multifuel energy demand

We estimate a carbon mitigation cost curve for the U.S. commercial sector based on econometric estimation of the responsiveness of fuel demand and equipment choices to energy price changes. The model econometrically estimates fuel demand conditional on fuel choice, which is characterized by a multinomial logit model. Separate estimation of end uses (e.g., heating, cooking) using the U.S. Commercial Buildings Energy Consumption Survey allows for exceptionally detailed estimation of price responsiveness disaggregated by end use and fuel type. We then construct aggregate long-run elasticities, by fuel type, through a series of simulations; own-price elasticities range from −0.9 for district heat services to −2.9 for fuel oil. The simulations form the basis of a marginal cost curve for carbon mitigation, which suggests that a price of $20 per ton of carbon would result in an 8% reduction in commercial carbon emissions, and a price of $100 per ton would result in a 28% reduction.     

Substitution elasticities between durable and nondurable goods in the United States: New evidence from the dynamic Laurent system

This paper uses the dynamic Laurent demand system to jointly estimate the service flows from durable and nondurable goods. The parameter estimates are used to obtain the Morishima elasticity of substitution between goods for the United States from 1960:1 to 1991:4. One of the significant results of this study is that the Morishima elasticities of substitution vary over time instead of being constant. This result implies that the use of the CES functional form gives a poor approximation of the demand system for the data used in this paper. Another important result is that consumers adjust to their long-run equilibrium holding of consumption goods slowly rather than quickly.     

Oil shocks and the dynamics of substitution adjustments of industrial fuels in the US

This paper investigates substitution among such alternate fuels as coal, natural gas, and electricity during the actual oil price increases of 1970s. These substitution adjustments are assumed to be dynamic and modelled by a partial adjustment structure. This dynamic structure is incorporated into a translog cost technology. Short- and long-run price elasticities are estimated by identifying inter- and intra-industry variations. The models are estimated with a sample of 88 pooled observations, including distillate and residual oils purchased by eleven 2-digit manufacturing groups (1974-81). Models are estimates are strictly negative. These own price elasticities range from (long-to short-run) –2.93 to –2.55 for distillate oil, –0.698 to – 1.53 for residual oil, –0.533 to 0.011 for coal, –0.235 to –0.213 for natural gas, to –0.888 to –0.845 for electricity. Estimastes of both short-run and long-run cross-price elasticities suggest that coal and electric energy are the prominent substitutes for fuel oils. While the relationship between the latter and natural gas remains largely complementary.     

Elasticity estimates of farmed salmon demand in Spain and Italy

In this paper, estimates of the elasticities that characterize the structure of demand for farmed salmon in Spain and Italy are reported. The demand models are specified using a Box-Cox transformation of the variables and a Hausman test is used to determine price endogeneity in the demand equations. The results show short-run unitary own-price elasticity of demand for farmed salmon in both markets, but long run estimates show significant elastic price response. Short run substitution of salmon for other fish species is not observed and, for both Spain and Italy, farmed salmon is characterized as a luxury good. Interestingly, we show that our a priori expectations about own-price elasticities being lower in smaller market areas is confirmed. Finally, the results obtained are compared to other recent results reported in the salmon demand literature.     

Estimating elasticities of residential energy demand from panel county data using dynamic random variables models with heteroskedastic and correlated error terms

A dynamic random variables model correcting for heteroskedastic and correlated error terms over time and space and dynamic demand and using panel county data offers consistent and efficient elasticity estimates of residential electricity and natural gas demands. The model developed by Swamy [Swamy, P.A.V.B., 1974. Linear models with random coefficients. In: P. Zarembka (Eds.), Frontiers in Econometrics, Academic Press, London, pp. 143–168.] with a modification suggested by Maddala et al. [Maddala, G.S., Trost, R.P., Li, H., Joutz, F., 1997. Estimation of short-run and long-run elasticities of energy demand from panel data using shrinkage estimators. Journal of Business and Economic Statistics 15, 90–100.] uses a panel of selected California counties for the years 1983–1997 to yield elasticity estimates that differ from those obtained from more standard panel data procedures.     

Estimating Income and Price Elasticities of Trade in a Cointegration Framework

This paper presents further evidence on the empirical regularity known as the "45-degree rule." Income and price elasticities of trade are estimated for 21 countries in a cointegration framework. More specifically, the autoregressive distributed lag (ARDL) modeling approach and the DOLS procedure are adopted to estimate the long-run structure. The empirical results confirm the existence of a systematic relationship between growth rates and income elasticity estimates: faster growing economies have high income elasticities of demand for their exports but lower import elasticities, which implies that faster growth can be observed without any marked secular trend in real exchange rates.     

Dynamic elasticities of tax revenue: evidence from the Czech Republic

Tax revenue elasticities with respect to tax bases are key parameters for the modeling of public finances. Yet the existing studies estimating these elasticities for emerging countries disregard the effects of tax reforms on tax revenue, which renders their estimates inconsistent. We introduce a framework for estimating both short- and long-run tax revenue elasticities using quarterly data adjusted for the effects of reforms. Our results suggest that the long-run elasticities in the Czech Republic are 1.4 for wage tax, 0.9 for value added tax, 1.7 for profit tax and 1 for social security contributions. The adjustment process for value added tax and social security contributions is fast, but for the remaining two categories, it is important to distinguish between the short- and long-run elasticities: the initial response of revenue to changes in the bases is weak. In the case of wage tax it takes half a year for the elasticity to surpass unity.     

The household demand for energy and fuels in OECD countries

This paper estimates the household demand for energy and fuels. The linear expenditure model is estimated using data from eight OECD countries over a period of sixteen years. The basic similarities in household demand for fuels and the differences among OECD countries are discussed. The results indicate that household demand for energy is highly income dependent. With regard to four basic fuels, the income and price elasticities for gasoline and gas are higher than for either coal or oil. The demand patterns are shown to differ significantly among groups of OECD countries. Coal has been gradually replaced by oil as the major household fuel in OECD countries, whereas the demand pattern for gas has changed only a little during the fifties and sixties.     

An empirical study of outbound tourism demand in the UK

A general to specific methodology is used to construct UK demand for outbound tourism models to twelve destinations. A tourism destination preference index is introduced to take into account social, cultural and psychological influences on tourists' decisions concerning their overseas holiday destinations. The tests support the existence of a cointegration relationship for each of 11 UK overseas holiday destinations. The corresponding error correction models are estimated. The empirical results show that the long-run income elasticities for all destinations range from 1.70 to 3.90 with an average of 2.367. The lowest and highest short-run income elasticities are 1.05 and 3.78 respectively, with an average of 2.216. The estimates of the income elasticities imply that overseas holidays are highly income elastic while the own-price elasticities suggest that the demand for UK outbound tourism is relatively own-price inelastic. In terms of the significance of substitution prices in the regression equations, Ireland is the favourite substitute destination for UK outbound tourists. Ex post forecasts over a period of six years are generated from the ECM models and the results compared with those of a naive model, an AR(1) model, an ARMA(p,q) model, and a VAR model. The forecasting performance criteria show that the ECM model has the best overall forecasting performance for UK outbound tourism.     

India’s petroleum demand: estimations and projections

Energy security is crucial for sustaining high economic growth in India. This article empirically estimates India’s long- and short-term demand relations for crude oil, diesel and petrol (gasoline) using the ARDL and ECM cointegration procedures and then uses them to project demand for these products up to 2025 under various scenarios of GDP growth and oil prices. Our projections show that over 2012 to 2025, demand is likely to increase by about 74% for crude oil, 117% for diesel and 136% for petrol – the annual growth rates being about 4.3% for crude oil, 6.1% for diesel and 6.8% for petrol (gasoline). This article suggests that India needs to (1) take measures to improve efficiency in the use of petroleum products; (2) try to enhance supplies such as through production sharing agreements by Indian oil companies with other countries and (3) increase the use of nuclear, hydro, solar and other alternative energy sources, as Western European countries have done.     

Asymptotic Properties Of The Estimator Of The Long-Run Coefficient In A Dynamic Model With Integrated Regressors And Serially Correlated Errors

In this paper we examine the asymptotic properties of the estimator of the long-run coefficient (LRC) in a dynamic regression model with integrated regressors and serially correlated errors. We show that the OLS estimators of the regression coefficients are inconsistent but the OLS-based estimator of the LRC is superconsistent. Furthermore, we propose an alternative consistent estimator of the LRC, compare the two estimators through a Monte Carlo experiment, and find that the proposed estimator is MSE-superior to the OLS-based estimator.     

Substitution between energy,capital and labour within industrial companies: A micro panel data analysis

Based on micro panel data for industrial companies, we estimate factor demand models with electricity, other energy, labour and machine capital as flexible inputs using both the translog and the linear logit specification. As opposed to the few previous micro (cross-section) data studies we find that both electricity and other energy are complements with capital. Substitution between electricity and other energy is limited. The own-price elasticity for electricity is −0.21 in the translog model and −0.19 in the linear logit model. The corresponding own-price elasticities are −0.45 and −0.23 for other energy, −0.08 and −0.05 for labour and −0.45 and −0.34 for capital.     

A dynamic general equilibrium model of driving,gasoline use and vehicle fuel efficiency

The paper constructs a dynamic general equilibrium model to study the endogenous determination of gasoline use, driving and vehicle fuel efficiency. Before vehicles are produced, their fuel efficiency can be chosen optimally. Once produced, their fuel efficiency cannot be changed. The model generates endogenously different short-run and long-run price elasticities of gasoline use, with their magnitudes well within the region of plausible estimates in the empirical literature. The paper shows that although raising gasoline taxes and tightening the CAFE standard both reduce gasoline use in the long run, they are different in terms of the transmission mechanism, magnitudes of responses and dynamic paths of key endogenous variables.     

Labour substitution and complementarity among age–sex groups

We measure substitution in production for major age-sex groups in ten industries. These estimates are important for productivity studies, for modelling derives demand for labour and for formulating policies that deal with anticipated trends in the age-sex composition of the labour force. We use Sato's two-level CES production to estimate Hicks partial factor price elasticities, with quarterly time-series taken from the Social Security Continuous Work History Sample (1958 to 1975). Own elasticities are generally small and negative but vary considerably across industries. Cross elasticities show complementarity among most groups, except for younger and older females, who are subtitutes.     

The demand for residential electricity: new evidence on time-varying elasticities

This study employs a generalized functional form to examine demand for residential electiricity. The appropriatenes of the conventional double-log and linear forms are tested. Time-varying elasicities are estimated. Major findings are summarized as follows:(1) the double-log and linear forms can be rejected at the 0.05 and 0.01 levels, respectively; (2) long-run own-price elasticities declined in absolute value consistently from 2.13 to 1.19 during the period 1950–87; (3) long-run income elasticities also decreased from 1.29 to 0.97 during the same period; and (4) long-run corss-Price elasticities with respect to the price of natural gas dropped form 0.40 to 0.29. These results may be heplful to decision makers in determining the change in total revenues owning to the change in prices, pricing strategies, the effectiveness of energy conservation programmes, the effect of rising real income on the demand for residential electricity and future demand.     

Advertising and the aggregate demand for cigarettes: A comment

The McGuinness-Cowling study represented a serious attempt to assess the impact of advertising on the demand for cigarettes in the UK, both before and after the 1962 report of the Royal College of Physicians (RCP). This note covers three points. First, it lists some general methodological criticisms of the McGuinness-Cowling approach. Second, it demonstrates a mathematical and conceptual error in their treatment of long-run elasticities. Third, it shows that corrected estimates of the long-run elasticities, based on the McGuinness-Cowling empirical results, are approximately thirty percent and forty percent of the two values given in their paper.     

Structural shocks and dynamic elasticities in a long memory model of the US gasoline retail market

A structural multivariate long memory model of the US gasoline market is employed to disentangle structural shocks and to estimate the own-price elasticity of gasoline demand. Our main empirical findings are: (1) there is strong evidence of nonstationarity and mean reversion in the real price of gasoline and in gasoline consumption; (2) accounting for the degree of persistence present in the data is essential to assess the responses of these two variables to structural shocks; (3) the contributions of the different supply and demand shocks to fluctuations in the gasoline market vary across frequency ranges; and (4) long memory makes available an interesting range of convergent possibilities for gasoline demand elasticities. Our estimates suggest that after a change in prices, consumers undertake a few measures to reduce consumption in the short- and medium-run but are reluctant to implement major changes in their consumption habits.