A rainwater harvesting system reliability model based on nonparametric stochastic rainfall generator

Summary The reliability with which harvested rainwater can be used as a means of flushing toilets, irrigating gardens, and topping off air-conditioner serving multifamily residential buildings in New York City is assessed using a new rainwater harvesting (RWH) system reliability model. Although demonstrated with a specific case study, the model is portable because it is based on a nonparametric rainfall generation procedure utilizing a bootstrapped markov chain. Precipitation occurrence is simulated using transition probabilities derived for each day of the year based on the historical probability of wet and dry day state changes. Precipitation amounts are selected from a matrix of historical values within a moving 15 day window that is centered on the target day. RWH system reliability is determined for user-specified catchment area and tank volume ranges using precipitation ensembles generated using the described stochastic procedure. The reliability with which NYC backyard gardens can be irrigated and air conditioning units supplied with water harvested from local roofs exceeds 80% and 90%, respectively, for the entire range of catchment areas and tank volumes considered in the analysis. For RWH systems installed on the most commonly occurring rooftop catchment areas found in NYC (51–75 m2), toilet flushing demand can be met with 7–40% reliability, with lower end of the range representing buildings with high flow toilets and no storage elements, and the upper end representing buildings that feature low flow fixtures and storage tanks of up to 5 m3. When the reliability curves developed are used to size RWH systems to flush the low flow toilets of all multifamily buildings found a typical residential neighborhood in the Bronx, rooftop runoff inputs to the sewer system are reduced by approximately 28% over an average rainfall year, and potable water demand is reduced by approximately 53%.

[1]  J. Rockström,et al.  Risk analysis and economic viability of water harvesting for supplemental irrigation in semi-arid Burkina Faso and Kenya , 2005 .

[2]  Balaji Rajagopalan,et al.  A semiparametric multivariate and multisite weather generator , 2007 .

[3]  John Gould,et al.  Rainwater Catchment Systems for Domestic Supply: Design, Construction and Implementation , 1999 .

[4]  David G. Tarboton,et al.  Evaluation of kernel density estimation methods for daily precipitation resampling , 1997 .

[5]  George Kuczera,et al.  Figtree Place: a case study in water sensitive urban development (WSUD) , 2000 .

[6]  Kwan Tun Lee,et al.  Probabilistic design of storage capacity for rainwater cistern systems. , 2000 .

[7]  M. Milke,et al.  Estimation of WGEN weather generation parameters in arid climates , 2005 .

[8]  J. Ben-Asher,et al.  A review of rainwater harvesting , 1982 .

[9]  F. Montalto,et al.  Development and Calibration of a High Resolution SWMM Model for Simulating the Effects of LID Retrofits on the Outflow Hydrograph of a Dense Urban Watershed , 2008 .

[10]  Upmanu Lall,et al.  A Nearest Neighbor Bootstrap For Resampling Hydrologic Time Series , 1996 .

[11]  David G. Tarboton,et al.  A Nonparametric Wet/Dry Spell Model for Resampling Daily Precipitation , 1996 .

[12]  Upmanu Lall,et al.  A nonparametric approach for daily rainfall simulation , 1999 .

[13]  R. Mehrotra,et al.  Preserving low-frequency variability in generated daily rainfall sequences , 2007 .

[14]  G. Daigger Evolving Urban Water and Residuals Management Paradigms: Water Reclamation and Reuse, Decentralization, and Resource Recovery , 2009, Water environment research : a research publication of the Water Environment Federation.

[15]  Dongqing Zhang,et al.  Decentralized water management: rainwater harvesting and greywater reuse in an urban area of Beijing, China , 2009 .

[16]  Brian W. Baetz,et al.  Sizing of Rainwater Storage Units for Green Building Applications , 2007 .

[17]  Matvey Arye,et al.  Rapid assessment of the cost-effectiveness of low impact development for CSO control , 2007 .

[18]  Enedir Ghisi,et al.  Rainwater tank capacity and potential for potable water savings by using rainwater in the residential sector of southeastern Brazil , 2007 .

[19]  Chun-Hung Lin,et al.  A probabilistic approach to rainwater harvesting systems design and evaluation , 2009 .

[20]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1967 .

[21]  E. Ghisi Potential for potable water savings by using rainwater in the residential sector of Brazil , 2006 .

[22]  D. Watkins,et al.  Stochastic rainfall modeling in West Africa: Parsimonious approaches for domestic rainwater harvesting assessment , 2008 .

[23]  Mikhail A. Semenov,et al.  A serial approach to local stochastic weather models , 1991 .

[24]  Terry Thomas,et al.  Quantifying the first-flush phenomenon: effects of first-flush on water yield and quality , 2009 .

[25]  F. Abdulla,et al.  Roof rainwater harvesting systems for household water supply in Jordan , 2009 .

[26]  Thilo Herrmann,et al.  Rainwater utilisation in Germany: efficiency, dimensioning, hydraulic and environmental aspects , 2000 .

[27]  M. Parlange,et al.  Overdispersion phenomenon in stochastic modeling of precipitation , 1998 .

[28]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .