Water price is an economic approach to effectively promote urban residents to save water. However, due to the excessively large water volume and low water price of each step in the stepped water pricing model, the watersaving effect of urban residents is not obvious. Determining the rst-step water price and water volume for urban residents has become an urgent issue to be solved both in theory and practice. Based on the basic water demand characteristics of urban residents, this study employs the extended linear expenditure system model (ELES) and quadratic approximate ideal demand function model (QUAIDS) to formulate an improved water demand-price function. The improved function model can describe the nonlinear relationship between urban residents' water demand and water price. Then, based on the questionnaire survey data of Zhengzhou City, combined with the improved QUAIDS model and the Ramsey pricing method, a system of equations is built to calculate the rst-step water price and water volume that meet the basic living needs of urban residents. This method not only focuses on water conservation for urban residents but also considers their basic water needs and the water supply costs of enterprises. This study provides a theoretical basis and practical guidance for reforming urban water prices and promoting resource conservation in China.
Highlight• By introducing the extended linear expenditure system model (ELES), this study constructs an improved quadratic approximate ideal demand function model (QUAIDS) based on the basic characteristic demand of urban residents and the nonlinear relationship between their water demand and water price.• Several factors are extended to this improved QUAIDS, such as water scarcity, household size, household disposable income, and water supply costs, and the The scarcity degree of water resources is innovative in this study.• Based on the questionnaire survey data of Zhengzhou City, this study construct a set of equations based on the improved QUAIDS, and combined with the Ramsey pricing to calculate the basic water price and water quantity to meet the basic living needs of urban residents.• The results show that the basic water volume for drived from this study for urban residents in Zhengzhou City is reduced by 35 cubic meters per year compared with the current water volume standard, and the water price is more higher, which can promote urban residents to save water by households.