Prediction of water consumption by consumer categories: a case study

Authors

DOI:

https://doi.org/10.5902/2179460X33910

Keywords:

Water consumption, Time series models, Water consumption forecast, Bayesian model, MCMC methods

Abstract

This study introduces a new Bayesian model for predicting water consumption in a medium-sized municipality in the State of São Paulo, Brazil. For the study, a stratified random sample of water consumption for consumers in different consumer categories (residential, industrial, public and commercial) is selected for 55 monthly consecutive measurements of water consumption and the proposed model is compared with some usual existing time series models (moving average models and ARIMA models) commonly used in forecasts. The Bayesian model for the consumption data assumes the presence of a random effect that captures the possible dependence between the monthly consumption for the different categories. A hierarchical Bayesian analysis is done using MCMC (Markov Chain Monte Carlo) methods to generate samples of the joint posterior distribution of interest. A detailed discussion of the results obtained is presented, showing the advantages and disadvantages of each model proposed in terms of feasibility for the municipality's water supply company. The results of this study can be generalized to water consumption data for any municipality.

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Author Biographies

Jorge Alberto Achcar, Universidade de São Paulo, Ribeirão Preto, SP

Jorge Alberto Achcar ;BS mathematics, (UNESP), SJRP, SP, 1971, Brazil;  Ms statistics, IME-USP, SP, 1976, Brazil; PhD statistics University of Wisconsin-Madison, USA, 1982

Marcos Valerio Araujo, Universidade de Araraquara, Araraquara, SP

Marcos Valério de Araujo. Possui graduação em tecnologia sanitária pela UNICAMP em 1997, MBA em Gestão Empresarial pela FGV em 2002, aluno do Mestrado Profissional em Engenharia de Produção na UNIARA, atua no setor de saneamento básico por 22 anos onde é responsável pela Operação (captação, tratamento e distribuição de água e coleta, tratamento e destinação do efluente), Gestão dos Serviços, Gestão Comercial e Plano de Negócio da companhia envolvendo todo o planejamento, acompanhamento econômico e financeiro, receitas, custos e programa de investimentos de concessões privadas.

Claudio Luis Piratelli, Universidade de Araraquara, Araraquara, SP

Claudio Luis Piratelli has degree in Production Engineer – UFSCar – Federal University of São CarloS, SP São Carlos, 1998; MSc Regional Development, University of Araraquara, 2005;  PhD in Aeronautical and Mechanics engineering, Production area, Aeronautics Institute of Technology – ITA (2010)

Ricardo Puziol de Oliveira, Universidade de São Paulo, SP

Ricardo Puziol de Oliveira has degree in Mathematics - UEM - Maringá State University; MSc Biostatistics, Maringá State University, 2016; PhD in Biostatistics, Medical School of Ribeirão Preto, University of São Paulo (USP), 2019.

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Published

2020-12-23

How to Cite

Achcar, J. A., Araujo, M. V., Piratelli, C. L., & Oliveira, R. P. de. (2020). Prediction of water consumption by consumer categories: a case study. Ciência E Natura, 42, e110. https://doi.org/10.5902/2179460X33910

Issue

Vol. 42 (2020): 40 YEARS - Anniversary Edition

Section

Statistics

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