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Bounding bioretention storage requirements with inflow timing and duration summaries
 
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1
Facultad de Ciencias e Ingenierías, Universidad Estatal de Milagro, Milagro, Ecuador
 
2
Facultad de Ciencias Matemáticas y Físicas de la Universidad de Guayaquil.
 
3
Facultad de Ingeniería Química, Universidad de Guayaquil, Guayaquil, Ecuador
 
4
Instituto Europeo de Posgrado, España
 
5
Facultad Ciencias Sociales, Educación Comercial y Derecho, Universidad Estatal de Milagro, Milagro, Ecuador
 
These authors had equal contribution to this work
 
 
Corresponding author
Xiomara Ayquel Bastidas Sánchez   

Facultad de Ciencias e Ingenierías, Universidad Estatal de Milagro, Milagro, Ecuador
 
 
 
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ABSTRACT
Block averaging can hide the inlet pulses that determine surface ponding in bioretention systems. We asked what information must accompany the averages to keep the storage requirement within known limits. We derived bounds for a constant-outflow store and evaluated them in 776 new hydraulic model runs, including controlled pulse experiments; 22 monitored six-minute inlet records provided the main forcing. With an outflow equivalent to 30 mm/h over 1,800 m², four-hour averaging underestimated required storage by a median 89.2% among 13 records requiring more than 1 m³. Retaining two values—the largest positive and negative cumulative departures from the block averages—reduced the median conservative storage estimate from 6.50 to 1.75 times the six-minute requirement. These values bound averaging error, but they cannot determine storage: in a controlled layered-model experiment, two inflows with identical block volumes, peaks and reported extrema produced maximum surface depths of 130.25 and 82.74 mm. Maximum inflow volumes over nine selected durations provided a lower bound that complemented the upper error bound. Together, the bounds enclosed required storage for every tested record under constant outflow. With one-hour averages at 30 mm/h, the median ratio of the upper to lower bound was 1.29. The resulting interval identifies when summarized inflow supports sizing and when the available information leaves the requirement unresolved.
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