INCOMPLETE DEMAND SYSTEMS AND SEMILOGARITHMIC DEMAND MODELS

The methodology of LaFrance and Hanemann for analysing the structure of incomplete demand systems is applied to models that are linear or logarithmic in quantities, prices and/or income. The structure of each model is presented when the implications of consumer choice theory are satisfied. The usefulness of the approach is illustrated. It is shown that considerable prior information is obtained from the theory of consumer choice when it is applied to this set of functional forms for demand equations.     

THE DEMAND FOR LDC EXPORTS OF PRIMARY COMMODITIES: THE CASE OF THE PHILIPPINES*

The economic case for taxing exports rests on the elasticity of demand for the exports concerned, but the true values of these elasticities are controversial. The international demand for Philippine exports of coconut products is examined in this paper. The hypothesis that the Philippines is a 'small country' exporter of coconut products is rejected using the specification of a price-normalised demand equation and the implications of this finding are discussed.     

THE ALMOST IDEAL DEMAND SYSTEM: AN APPLICATION TO FOOD AND MEAT GROUPS FOR FRANCE

This paper presents the results from estimating an Almost Ideal Demand System (AIDS) for food and meat for France. Since AIDS is indirectly non-additive and consistent with the requirements of demand theory as well as having other desirable characteristics, it is an appropriate choice for examining food and meat demand. A particular advantage of AIDS is that its linear approximation is an excellent first-order approximation to the complete system and this version is used in the present paper. Income and price elasticities are presented, calculated at both their mean value and at different points to examine possible changes in patterns of demand behaviour.     

Variability in wheat export demand elasticity: Policy implications

Agricultural economists and policy makers in the United States believe that the magnitude of the export demand elasticity is one of the most important parameters used in farm policy decisions. However, past empirical estimates show wide variation in the size of the U.S. export demand elasticity. Reasons for this wide variation go beyond differences in model specification, estimation methods, and period of estimation to involve factors such as trade policies and changes in the supply and demand conditions of foreign countries. In view of the continual variation in magnitude, the elasticity of export demand should be viewed as a variable rather than as a parameter. In this study, U.S. wheat export demand elasticities are computed using a world wheat trade model. The estimates show that the elasticities vary significantly over time. They also reveal that elimination of trade barriers would more than double wheat export demand elasticities.     

A MODEL OF THE DISAGGREGATED DEMAND FOR MEAT IN AUSTRALIA

The focus of this study is the estimation of the Australian demand for meat between 1967 and 1990, employing a demand systems approach which uses the linear approximate, almost ideal demand system (LA/AIDS) model. Two demand systems are estimated by maximum likelihood methods, one for aggregate types of meat and one for disaggregated meat products. After correcting for serial correlation in the two demand systems, restrictions from utility theory are imposed and tested for their appropriateness. By using a new data set on the Australian retail price and consumption offresh pork, ham and bacon, the results from the disaggregated model provide the first estimates of the own-price, cross-price and expenditure elasticities for these commodities.     

DEMAND FOR FOOD IN GREECE: AN ALMOST IDEAL DEMAND SYSTEM ANALYSIS

This paper provides an analysis of food demand in Greece using the Almost Ideal Demand System and annual food expenditure data for the period 1950–1986. The focus is on the estimation of a complete matrix of price and income elasticities for the various food commodity groups for Greece. The empirical analysis points to the dominant position that meat and other livestock products have acquired in the diet of Greek consumers during a period of high income growth and rising living standards. Further increase in meat and milk demand is expected to take place as long as incomes keep rising.     

FOOD DEMAND IN SPAIN: AN APPLICATION OF THE ALMOST IDEAL SYSTEM

This paper provides an analysis of food demand in Spain for the period 1964–1989 estimating the Almost Ideal Demand System (AIDS) with annual time-series of food expenditures divided into six categories. A dynamic version of the model incorporating habit effects captures the behaviour of the Spanish food consumer over the period investigated. The theoretical hypotheses of homogeneity and symmetry are rejected, but the model provides plausible expenditure and price elasticities.     

THE DEMAND FOR DOMESTICALLY PRODUCED SAWN TIMBER: AN APPLICATION OF THE DIEWERT COST FUNCTION

The Australian demand for domestically-produced sawn timber is investigated by considering its major use — as an input into residential construction. Using a cost function approach, a system of equations is derived expressing quantities demanded in terms of relative prices. Cross-price elasticities are estimated and the falling input-output ratio of timber in residential construction is analysed by decomposing the change in this ratio into price, outputs and taste/technology effects. A major finding is that, while substitution of timber for other inputs has been encouraged through relative price movements, this effect has been more than offset by taste and technology trends away from timber usage.     

An Econometric Analysis of Total (Domestic) and Import Demand for Beef in Hong Kong

This paper presents an applied econometric analysis of total (domestic and import) demand for beef in Hong Kong for the period 1970 to 1988. The estimates are in logarithmic form and provide elasticity estimates for beef demand (domestic and import) in Hong Kong. Variables in the estimated domestic demand models (per capita and aggregate) include own price, prices of a substitute (pork) and a complement (rice) and income. Variables in the estimated import demand model include demand side variables (price of beef, price of pork, price of rice and income) and the price of imported live cattle as a supply shifting variable. The elasticities were inelastic for the domestic demand models while most of those for the import demand model were elastic.     

The demand for food and beverages in Norway

The demand for food and beverages is estimated within a three-stage demand model. The separability structure of the model is checked by nonparametric tests. Some generalized axiom of revealed preference (GARP) violations are detected in one of the subsystems. However, they are removed by small adjustments in the quantities of fish, and the violations are interpreted as results of measurement errors. The almost ideal demand system is used in the static and a dynamic version. The results of various specification and misspccification tests suggest that the static version performs poorly as compared with the dynamic version. Norwegian demand elasticities for disaggregate food commodities have rarely been estimated within a system framework, so the results are of intrinsic interest. The elasticities estimated by using the dynamic model are of the expected signs and reasonable magnitudes. The values are stable over time for most commodities. Elasticities estimated within a subsystem are conditional on the goods included in that system, and they may differ from the more policy relevant unconditional elasticities estimated within a system including all goods. Adjustment formulas are used to approximate the unconditional elasticities from the estimated conditional elasticities. There are considerable differences between the numerical values of the conditional and unconditional elasticities for several of the foods. The unconditional own-price elasticities are in the interval-0.20 to-0.89. The own-price elasticities for hot drinks and for milk are most inelastic. The unconditional expenditure elasticities for food-away-from-home, fish, soft drinks, and alcoholic beverages are above one, while the expenditure elasticity for hot drinks is about zero.     

AGRICULTURAL EXPORTS OF DEVELOPING COUNTRIES: ESTIMATES OF INCOME AND PRICE ELASTICITIES OF DEMAND AND SUPPLY

This paper provides new evidence on income and price elasticities of demand and supply of agricultural exports from developing countries, on the basis of (a) a consistent and fully specified supply and demand model, and (b) statistical estimation procedures not frequently used in the estimation of agricultural export functions. Estimates of price and income elasticities of demand for aggregate agricultural exports for all developing countries taken together — as distinct from individual exporting countries — are found to be low; moreover, export price as distinguished from non-price factors plays a relatively insignificant role in increasing export supply. Hence, an attempt by all developing countries to expand traditional agricultural exports with low price elasticity of demand may not yield rising earnings for all; but in fact may result in falling export revenues. Insofar as individual exports of all developing countries (not individual countries) are concerned, income and price elasticities of demand for such tropical commodities as tea, coffee, cocoa and bananas are also found to be low, except for new, non-traditional exports like pineapples. This indicates the importance of diversification of agricultural exports as a vehicle for their future growth.     

MODELLING FERTILISER DEMAND IN THE REPUBLIC OF IRELAND: A COST FUNCTION APPROACH

A translog cost function was used to obtain estimates of the own- and cross-price demand elasticities for nitrogen, phosphorus and potassium. The results indicated a mean value for the own-elasticities of —1.0, —0.6, —0.5 for N, P and K respectively. A test of the hypothesis of nutrient substitution was attempted. The test indicated that P and K were substitutable for N but not for each other. This result was corroborated by a zero elasticity of substitution estimate between phosphorous and potassium. A corollary of the results was the rejection on empirical grounds of the Cobb-Douglas specification for the input demand functions. The latter function has traditionally been used in analyses of this nature.     

ALTERNATIVE DEFINITIONS OF DEMAND FOR RECREATIONAL ANGLING IN NORTHERN IRELAND

The effects of three alternative definitions of demand on estimated parameters are explored in a travel-cost study of aggregate demand for recreational angling in Northern Ireland in 1988. Functions are estimated using individual visits and zonal visitation rates for the number of visits and the number of visitors as alternative demand definitions. The approach using individual visits was found to be the more satisfactory in statistical terms and in relation to estimates of user benefits when compared with a parallel contingency valuation study. It is judged to be the more appropriate approach where there is a well defined and quantifiable user group. However, the modelling of income and substitutes in the functions proved to be unsatisfactory, perhaps due to inadequate specification and measurement of these variables.     

QUARTERLY ESTIMATES OF THE DEMAND AND PRICE STRUCTURE FOR MEAT IN NEW SOUTH WALES

Multiple regression estimates of demand and price relationships for fresh beef, lamb and mutton in the N.S.W. livestock auction, wholesale, and retail markets during the period from January 1951 to June 1963 are presented. The results show that direct price elasticities of demand were negative, and of greatest absolute value in the retail market. Mutton is shown to have been a close substitute for beef and lamb, but the latter were not close substitutes with respect to price.     

THE DEMAND FOR INPUTS AND THE AGGREGATE SUPPLY FUNCTION FOR AGRICULTURE*

This paper presents a theoretical derivation of aggregate supply elasticities from the relevant input demand elasticities. By way of illustration, an estimate of the aggregate supply elasticity with respect to product price for United Kingdom agriculture is calculated. In addition, the paper investigates the supply function that is implied by input demand functions which contain a geometrically declining lag distribution. The paper concludes by suggesting that the indirect estimation of aggregate supply elasticities may well be preferable to direct estimation of the elasticities.     

The demand for alcoholic beverages in Spain

The objective of this study is to analyze the main determinants of alcoholic beverages consumption at home. Data comes from the latest Spanish Household National Survey, which provides information on expenditure and quantities of different food products by household. Because households are interviewed only 1 week, a large number of zeros have been recorded. Among the existing censured demand models (the double hurdle (DH) model; the purchase‐infrequency model; and the Tobit purchase‐infrequency model, among others) and after carrying out model selection tests, the DH model has been finally estimated. All expenditure elasticities are positive, corresponding the highest value to spirits. Own price elasticities are negative and also in this case the spirits exhibit the highest value. Socio‐economic variables also play an important role in explaining consumer purchase and consumption decisions.     

The influence of immigration and international tourism on the demand for imported food products

The role of immigration and international tourism in food product imports, as two factors which potentially influence the (trans-) formation of tastes in a country, is theoretically and empirically analysed. In using an econometric error-correction specification of an import demand function, the scale of the impact of these two factors is estimated for the case of Germany (annual data from 1967 to 1990). The results show that, while aggregate food import demand from India, Thailand, China and Turkey is inelastic with regard to migration to Germany and international travel activities of Germans to these destinations, the estimated average elasticities for imports of wine, cheese and processed/preserved vegetables from France and Italy are all well above unity, thus suggesting that immigration and international tourism may indeed affect the import demand for certain food products.     

THE DEMAND FOR IRRIGATION WATER IN AN INTENSIVE IRRIGATION AREA

Linear programming procedures offer a useful means of estimating irrigation water demand functions at the farm level. If such estimates are to be aggregated to form regional demand schedules, care must be taken in the selection of representative farms if aggregation error is to be minimized. Both seasonal and intra-seasonal demand schedules are presented since both are important when irrigation demand estimates are being developed.     

Cost Efficiency for Alberta and Ontario Dairy Farms: An Interregional Comparison

In this study, two non-homothetic translog stochastic meta-frontier cost functions—with and without local concavity imposed—are estimated using a nonlinear maximum likelihood estimation procedure to compare the cost efficiency of Alberta and Ontario dairy farms for the period 1984–96. The resulting cost efficiency estimates are not very sensitive to whether or not curvature is imposed. In contrast, the properties of the cost and input demand functions (e.g., elasticities) are sensitive to imposition of local concavity during estimation. The implication is that if an inappropriate model that does not satisfy the properties required by the economic theory is used, the estimated input demand functions may not be reliable. Average cost efficiency for the pooled sample, with local concavity imposed, is approximately 89%. This suggests some potential for improved performance in the sector. The results also suggest that Ontario dairy farms may be more cost efficient than Alberta dairy farms, but the statistical evidence is inconclusive.     

THE DEMAND FOR MILK IN AUSTRALIA ESTIMATION OF PRICE AND INCOME EFFECTS FROM THE 1984 HOUSEHOLD EXPENDITURE SURVEY*

Cross-sectional data are used to estimate a three-equation generalised addilog demand system (GADS); two equations are used to express the demand for milk by method of sale and a residual equation is used to close the system. It is shown that, as the average budget share of the residual equation approaches unity, the GADS equations for the incomplete system are approximately equivalent to double logarithmic equations. It is found that aggregate milk demand is relatively insensitive to both price and income, but the degree of substitution between delivered and non-delivered milk is both large and highly significant. A new test for influential data in the system context is developed and it suggests that the reported results are robust to variations in the sample space.