Diurnal Pattern
I
The statistical distributions used by BESS to generate the sub-daily indoor water use are based on the end-use study of Roberts et al. (2005). Users are encouraged to check that the predicted water use statistics provided by BESS match their expectations. BESS uses a diurnal variation to vary the probability of water use events occurring throughout the day. It disaggregates the daily demand data to a sub-daily time-step using a non-dimensionalised diurnal pattern.
Dimensionless Diurnal Pattern Weighting Configuration
Appliance and Occupancy Type Editor
Fixed Behavioural
Sampled Behavioural
Spatial Variability
The household size and the type of water using appliances vary from household to household. To capture this spatial variability the household size and appliance type for each type of water use event is randomly sampled for each household from a probability distribution based on the proportion of household sizes/appliance types. An example of these probability distributions based on Roberts [2005] is provided below. This information can also be obtained from Australian Bureau of Statistics (ABS) surveys
Temporal Variability
Individual end-use events are generated in a two stage process. The first stage determines whether a
given water use starts in a particular time step, and is based on the probability of occurrence, ( )
O
for a particular end-use. The second stage tracks the subsequent behaviour of that water use over the
following time steps, and is dependent on the end-use event volume, Vt W and water usage pattern,
Pt W In general the probability of occurrence for each event was a function of the frequency of events
per person per day, the household size ( t HS ) and a diurnal factor (DF). The diurnal factor converts the
frequency of events per day into the probability of an event occurrence in a given minute taking into
account the diurnal variation of the event, which is an input. The water use event volume and the
water usage pattern is dependent on the type of water use event and the appliance type. In general,
the end-use event volume is sampled from a probability distribution, and the water usage pattern is
applied to this volume to produce a water use time series. The approach used to define ( )
Ot P W , Vt W
and Pt W for each individual water use event type will be described below. This largely follows that of
D&M, although some enhancements have been made and where these occur they will be outlined.
The Behavioural End-use Stochastic simulator (BESS) stochastically simulates individual end-uses (outdoor, shower, washing machine, toilet, tap etc) at the household scale at sub-daily time steps. The indoor component simulates differences in household size, uptake rates of water efficient appliances and diurnal variation in end-uses. The behavioural water use model configuration with sampled appliances and occupancy allows you to specify random sampling of occupancy and appliance types, for each household, from statistical distributions.
Using the behavioural model with sampled appliances and occupancy is only recommended when you are simulating a larger number of households (> 400) and you do not want to set the appliance types /occupancy for each house.
Sample size requirements
If you specify sampled appliances and occupancy, you must specify a minimum number of houses in order to provide a statistically-reliable sample of the household occupancy and appliance type.
Due to random sampling in any particular Urban Developer run, the percentage of houses actually sampled for each household occupancy and appliance type (the sampled percentage) will not be exactly the same as what you specify (the true percentage).
For example - if you specify only 10 houses, with a true probability of 0.2 for 3-Star showers and 0.8 for 1-Star showers, the chance of the sampled percentage being very different (eg: 0.5 3-Star and 0.5 2-Star) is much greater than with a large sample size.
The recommended minimum number of 400 houses ensures that for true percentages greater than 10%, the sampled percentage of houses is within 30% of the true percentage for 90% of the time.
You can specify a number of houses smaller than 400, but should be aware that the sampled percentage of household occupancy and appliances types may be different than the percentage you originally specified.
Sampled appliances and occupancy configuration
Select Configure
Average Behavioural
For Water Use nodes set to behavioural mode, there are two options for specifying their configuration.
From the Urban Developer main menu, select Configure > Water Use. The following table explains the menu options.
These water use configuration options act only on Water Use nodes within the scenario that are set to the behavioural model. These options have no effect on any Water Use nodes in the same scenario that use an Average Daily model.
You can have water use nodes with both Average Daily and Behavioural models active in the same scenario, but the settings specified on the Configure menu only affect those water use nodes in the scenario which use the Behavioural model.
Behavioural model with fixed appliances and occupancy
The behavioural water use model configuration with fixed appliances and occupancy allows you to set appliance types for each end use (showers, washing machines, and toilets), household occupancy and outdoor use for each water use node.
Using the behavioural model with fixed appliances and occupancy is the recommended approach when you are simulating a smaller number of houses (< 400), and you want to specify exactly the type of appliances and occupancy for each house.
Similarly to the average daily model, you select the supply source preference for each individual end use.
For this behavioural model configuration (fixed appliances and occupancy) you set the indoor end-use appliance types and occupancy for each water
Menu item Notes Fixed appliances and occupancy This option produces a repeatable, probabilistic simulation of water use, using fixed (ie user-specified) appliances and occupancy rates for each water use node. Sampled appliances and occupancy This option produces a repeatable (if configured in Random Seed Settings, see below), probabilistic simulation of water use, using sampled appliances and occupancy from user-defined probability distributions. Random Seed Settings This option allows you to set the random seed used by the BESS model for water use simulation - this enables production of repeatable random series. See Water Use node (page 143) for more information. Table
These water use configuration options act only on Water Use nodes within the scenario that are set to the behavioural model. These options have no effect on any Water Use nodes in the same scenario that use an Average Daily model.
You can have water use nodes with both Average Daily and Behavioural models active in the same scenario, but the settings specified on the Configure menu only affect those water use nodes in the scenario which use the Behavioural model.
Restrictions
There are restrictions on which node inputs and outputs you can connect together. See Urban Developer node connection rules.
Node Inputs
Node Input | Notes |
---|---|
Mains supply | Connect to a mains supply node (if available) (Not currently implemented in the Urban Developer Plugin) |
Tank supply | Connect to a tank node (if available) |
Alternative supply 1 | Connect to an Alternative supply node (if available) (Not currently implemented in the Urban Developer Plugin) |
Alternative supply 2 | Connect to an Alternative supply node (if available) (Not currently implemented in the Urban Developer Plugin) |
Node Output | Notes |
---|---|
Blackwater | Connect to a blackwater stream (if necessary) (Not currently implemented in the Urban Developer Plugin) |
Greywater | Connect to a greywater stream (if necessary) (Not currently implemented in the Urban Developer Plugin) |
Irrigation/Other | Connect to any other end-use stream. For example, you can track your garden irrigation through this end-use, and link it back to a pervious area node in your model to capture the effects of run-off of irrigating your pervious area. (Not currently implemented in the Urban Developer Plugin) |
Node Properties
Node Property | Notes |
---|---|
Number of houses | Specify the number of houses the node represents |
The following three properties (Occupants per household, Indoor end-use appliance types and Outdoor average daily demand) apply only when the behavioural model configuration is set to fixed appliances and occupancy. When the behavioural model configuration is set to sampled appliances and occupancy, these properties are not used. Refer to Behavioural model with fixed appliances and occupancy. | |
Occupants per household | Specify the number of occupants per household. |
Indoor end-use appliance types | For end-use, specify the appliance type (e.g. type of shower, dishwasher, toilet, etc). See indoor water use appliance types in Behavioural model with fixed appliances and occupancy |
Outdoor average daily demand | For each month, specify the average daily demand |
Supply source priorities | For each indoor/outdoor end-use, specify which supply sources are available an order of preference. For example, for the end-use Toilet:
Un-checking Use for a supply source specifies that it will not supply that particular end-use. |
Discharge breakdown (indoor/outdoor) | For each end-use, specify the percentage of water discharged as blackwater, greywater, or other wastewater. The percentages in each column must sum to 100%. |
Node Property | Notes |
---|---|
Supply Priorities | |
References
Micevski, T., Thyer, M., Kuczera, G. (2011) A Behavioural Approach for Household Outdoor Water Use Modelling. Paper submitted to Water Resources Research (April 2011).
Roberts, P. (2005) 2004 Residential End Use Measurement Study, Final Report: Yarra Valley Water, Victoria.
Thyer, M. A., Duncan, H., Coombes, P., Kuczera, G., & Micevski, T. (2009). A probabilistic behavioural approach for the dynamic modelling of indoor household water use. In H2009: 32nd Hydrology and Water Resources Symposium: Adapting to Change, 30 November - 3 December 2009, Newcastle, Australia (p. 1059).
Thyer, M., Micevski, T., Kuczera, G., and Coombes, P. (2011) A Behavioural Approach to Stochastic End Use Modelling. Paper presented at Oz Water, 9-11 May 2011, Adelaide.
Acknowledgements
This material has been adapted from:
eWater Cooperative Research Centre (2011) Urban Developer User Guide: Urban Developer v1.0.0, eWater Cooperative Research Centre, Canberra, 29 June 2011. ISBN 978-1-921543-40-1