In this study, both the Rotterdam model and the double logarithmic model were used to estimate the demand parameters for fruit beverages. The results show that: (1) under the conditions of block-independence and predetermined price changes, the Slutsky matrix for fruit beverages is symmetric and negative definite; (2) own-price elasticity estimates from both models are about the same; and (3) income elasticity estimates and cross-product relationships from the two models are not compatible.

This study extends Batten's synthetic demand modeling approach to increase the flexibility of the uniform substitute specification of the Rotterdam demand system. Marginal propensities to consume (MPC) vary with budget shares and Slutsky coefficients are defined in terms of varying MPCs. An application of the model to orange-juice products shows that the pattern of income and price elasticities over time is much different than when MPCs are restricted to be constant.

Using IRI Infoscan data pertaining to six types of spaghetti sauces and employing an extension of the demand systems framework developed by Duffy, estimates are obtained of own-price, cross-price, and total expenditure elasticities as well as own- and crossproduct advertising elasticities. We augment the Duffy model through the use of a polynomial inverse lag mechanism to deal with the carryover effects of advertising. We also account for the impacts of features in newspaper fliers, in-store displays, and coupons. Advertising efforts by industry leaders in spaghetti sauce produce positive own-advertising elasticities (ranging from .000058 to .0168) and negative cross-advertising elasticities (ranging from –.000003 to –.0094). Own-price elasticities are in the elastic range, and nearly all compensated cross-price effects are positive, indicative of Hicksian substitutes.

This study examines imposing and testing restrictions on preference variables in the Rotterdam model through the impacts of these variables on marginal utilities. An empirical analysis of the impact of a female labor force participation variable in a Rotterdam demand system for fresh fruit illustrates the methodology. This variable was modeled through its impact on marginal utilities via “adjusted” prices, following theoretical work by Basmann and Barten, among others. Results show that the female labor participation has negatively impacted the demands for citrus, while positively impacting the demands for other fresh fruit.

This paper considers an application of the differential approach to Japanese demand for beef imports from 1970 to 1993. Results of homothetic demand and negative (significant) own-price elasticities indicate that the Japanese did not discriminate against Australian beef, but the decrease in Australia's trade shares was due to changes in relative prices.

Elasticities of import demand and supply often drive economic models, butfew empirical estimates of these elasticities exist for vegetables andfruits. For those that do exist, most are outdated. Because elasticitieschange over time as income, prices, and market conditions change, outdatedelasticity estimates may not be representative of changes in importquantities demanded or in acreages, yield, and quantities supplied.Moreover, import demand elasticities by country of origin for mostvegetables and fruits are nonexistent. This article presents research thatupdates elasticity estimates for each of the selected product categories andincludes production and trade implications.

An extension of the Rotterdam model is developed that makes the model's income flexibility and marginal propensities to consume varying coefficients. Frisch's duality relationships that the second partial derivatives of demand with respect to income and prices are independent of the order of differentiation are imposed with the marginal propensities to consume specified as functions of income and price, and the Slutsky coefficients specified as functions of income only. A uniform substitute specification is used to analyze the conditional demands for a group of beverages.

The generalized dynamic Rotterdam model was used in estimating U.S. demand for disaggregated catfish. The overall goal was to examine habit persistence in consumption and to determine the adjustment process in demand. Results indicated that it took up to 1 month for catfish-product demand to fully adjust to changes in expenditures and prices. Additionally, habit persistence played a role in demand where present consumption of a given product was positively affected by past consumption of that product. Consequently, U.S. catfish demand was significantly more elastic in the long-ran.

We estimate the demand for imported cotton in China and assess the competitiveness of cotton-exporting countries. Given the assertion that developing countries are negatively affected by U.S. cotton subsidies, our focus is the price competition between the United States and competing exporters (Benin, Burkina Faso, Chad, Mali, India, and Uzbekistan). We further project how U.S. programs affect China's imports by country. Results indicate that if U.S. subsidies make other exporting countries worse off, this effect is lessened when global prices respond accordingly. If subsidies are eliminated, China's cotton imports may not fully recover from the temporary spike in global prices.