Next Article in Journal
Assessing the Efficacy of the SWAT Auto-Irrigation Function to Simulate Irrigation, Evapotranspiration, and Crop Response to Management Strategies of the Texas High Plains
Next Article in Special Issue
Non-Dominated Sorting Harmony Search Differential Evolution (NS-HS-DE): A Hybrid Algorithm for Multi-Objective Design of Water Distribution Networks
Previous Article in Journal
Fish but Not Macroinvertebrates Promote Trophic Cascading Effects in High Density Submersed Plant Experimental Lake Food Webs in Two Contrasting Climate Regions
Open AccessFeature PaperArticle

A Probabilistic Short-Term Water Demand Forecasting Model Based on the Markov Chain

1
Department of Engineering, University of Ferrara, Via Saragat, Ferrara 44122, Italy
2
Centre for Water Systems, University of Exeter, Harrison Building, North Park Road, Exeter EX4 4QF, UK
*
Author to whom correspondence should be addressed.
Water 2017, 9(7), 507; https://doi.org/10.3390/w9070507
Received: 15 May 2017 / Revised: 6 July 2017 / Accepted: 7 July 2017 / Published: 12 July 2017
This paper proposes a short-term water demand forecasting method based on the use of the Markov chain. This method provides estimates of future demands by calculating probabilities that the future demand value will fall within pre-assigned intervals covering the expected total variability. More specifically, two models based on homogeneous and non-homogeneous Markov chains were developed and presented. These models, together with two benchmark models (based on artificial neural network and naïve methods), were applied to three real-life case studies for the purpose of forecasting the respective water demands from 1 to 24 h ahead. The results obtained show that the model based on a homogeneous Markov chain provides more accurate short-term forecasts than the one based on a non-homogeneous Markov chain, which is in line with the artificial neural network model. Both Markov chain models enable probabilistic information regarding the stochastic demand forecast to be easily obtained. View Full-Text
Keywords: water demand; forecasting; Markov chain; stochastic water demand; forecasting; Markov chain; stochastic
Show Figures

Figure 1

MDPI and ACS Style

Gagliardi, F.; Alvisi, S.; Kapelan, Z.; Franchini, M. A Probabilistic Short-Term Water Demand Forecasting Model Based on the Markov Chain. Water 2017, 9, 507.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop