Three bioretention cells in Norway were monitored for 23 to 36 months to evaluate the hydrological performance of bioretention cells operated in regions with cold climates and to test if cell size equations can be used to predict hydrological performance. Values of saturated hydraulic conductivity (Ksat) were determined for separate events by analyzing the observed infiltration rates and via infiltration tests. The two cells with the highest Ksat values (15.9 and 45.0 cm/h) performed excellently during the study period infiltrating nearly all of the incoming runoff. In contrast, the cell with low Ksat value (1.3 cm/h) infiltrated barely half of the incoming runoff. The latter cell had a clear seasonal variation in hydrological performance relating to changes in the Ksat values over the year. The size equation that gave the best predictions of the observed hydrological performance accounts for both surface storage and infiltration. By using this equation to evaluate various bioretention cell designs, it was found that the most effective way to increase the hydrologic performance is to have a Ksat value above 10 cm/h.
INTRODUCTION
Bioretention cells (also referred to as biofilters or raingardens) have become a popular urban stormwater management practice in the United States and increasingly are being applied in other parts of the world. Recent research has shown that bioretention cells can reduce stormwater runoff volumes and delay and reduce discharge peaks via infiltration (Hunt et al. 2006; Davis 2008), while simultaneously removing pollutants such as suspended solids, toxic metals, and petroleum hydrocarbons from stormwater (Davis et al. 2003, 2009; Hunt et al. 2008; LeFevre et al. 2012, 2014; Paus et al. 2014a).
In spite of their potential for mitigating stormwater quantity and quality concerns, bioretention cells have not been widely adapted as a stormwater management practice in regions with cold climates. Recent studies have shown, however, that good to excellent removal of pollutants can be achieved also at low temperatures. For example, Muthanna et al. (2007) investigated removal of toxic metals during cold and warm periods in a pilot-sized bioretention box in Trondheim, Norway. The mass reductions of copper, lead, and zinc were reported to be 72% or greater for both periods. Furthermore, in Blecken et al. (2007, 2011), the influence of temperature on nutrient treatment efficiency and total and dissolved metal removals were investigated in vegetated biofilter mesocosms at various temperatures ranging from 2 to 20 °C in the laboratory. Overall, low temperature did not negatively affect the removal of particle-bound pollutants, phosphorus, cadmium, copper, lead, and zinc, resulting in removal rates varying from 46 to 99%. Paus et al. (2014c) investigated the breakthroughs of dissolved cadmium, copper, and zinc at 3.6 and 19.4 °C in columns containing varying amounts of sand and leaf compost. Only the removal of particulate-phase copper was reported to be negatively influenced by low temperature.
Furthermore, there are reports showing promising results for hydrological performance (Muthanna et al. 2008; LeFevre et al. 2009; Khan et al. 2012). Although these studies strengthen the use of bioretention cells in cold climate regions, there is a lack of hydrological results for in-service and full-scale bioretention cells in cold climates. In particular, little interest has been shown regarding the saturated hydraulic conductivity of the engineered bioretention media through which the stormwater infiltrates. The
value is a measure of the hydraulic capacity of the cell and is influenced by physical characteristics, including the composition and bulk density of the bioretention media (Thompson et al. 2008; Paus et al. 2014a), vegetation (Hatt et al. 2009; Paus et al. 2014b), and the extent of clogging by fine sediments in the incoming runoff (Langergraber et al. 2003; Li & Davis 2008). In regions with cold climates, the
value may also be significantly negatively influenced by low temperatures (Braga et al. 2007; Emerson & Traver 2008), ice and frost in the bioretention media (Khan et al. 2012), and the mechanical impacts on soil structure from freeze–thaw cycles (Asare et al. 1999). Finally, road salts (e.g., NaCl) may not only reduce removal and facilitate mobilization of toxic metals in bioretention cells (Paus et al. 2014c; Søberg et al. 2014; Szota et al. 2015), but can also change the soil structure, resulting in significant reduction of the
value (Kakuturu & Clark 2015). When targeting the hydraulic capacity of bioretention cells in cold climates, these variations on the
value must be considered.
The overall aim of this study was to evaluate the effects of season and temperature on the value and hydrological performance of bioretention cells operated in cold climates. Furthermore, it was hypothesized that cells in cold climate regions require a
value above a certain threshold level to function satisfactorily. Results from three full-scale bioretention cells continuously monitored over the course of 2 to 3 years in Trondheim and Oslo, Norway, are reported. The recorded hydrological data were used to test various size equations and finally to evaluate how design parameters can optimize bioretention cell performance.
METHODOLOGY
Site descriptions
The three pilot bioretention cells assessed in this study are located in residential areas at Risvollan, Trondheim (RIS), Langmyrgrenda 34B, Oslo (L34B), and Nils Bays vei 21, Oslo (NB21). Photographs and illustrations of the cells are given in the Appendix, Figure S1 (available with the online version of this paper) and in Braskerud et al. (2013). The cells were constructed for research purposes and were sized to manage water from catchments with impermeable areas 10 to 20 times larger than the cell surfaces. All cells were planted with a great variety of species, mainly perennials and ferns. In total, more than 30 species were planted in the cells (e.g., Carex spp., Alchemilla mollis, Filipendula spp., Iris spp., Rodgersia aesculifolia, Lythrum salicaria). Water flows in and out of the cells and surface water levels were monitored using sharp V-notch weirs with pressure sensors. The design, instrumentation details, and the physical and chemical characteristics of the bioretention media are, for the three cells, summarized in Table 1 and briefly described in the following.
Design and media characteristics of the three bioretention cells assessed in this study. Additional photographs and design configurations are available in the Appendix (Figure S1, available with the online version of this paper) and in Braskerud et al. (2013)
. | RIS . | L34B . | NB21 . |
---|---|---|---|
Design characteristics | |||
Location | Risvollan, Trondheim | Nordberg, Oslo | Sogn, Oslo |
Year constructed | 2010 | 2006 | 2009 |
Drainage area type | 13% asphalt and 87% grass | 46% asphalt, 30% gravel road, and 24% grass | 100% roof |
Drainage area | 8,300 m2 | 291 m2 | 139 m2 |
Surface area | 40.0 m2 | 5.9 m2 | 10.3 m2 |
Surface to drainage area | 0.5% | 2.0% | 7.4% |
Surface to impermeable area | 4.3%a | 16.0%a | 8.2%b |
Maximum ponding height | 16.0 cm | 6.5 cm | 20.0 cm |
Media bed depth | 75.0 cm | – | 80.0 cm |
Drain pipes | 2 × 100 mm | Not drained | Partly blocked 100 mm |
Estimated vegetative cover | 60% | >90% | 80% |
Instrumentation | |||
Inflow | 150° v-notch | 90° v-notch | Not monitored |
Outflow | 120° v-notch | 160° v-notch | 150° v-notch |
Drain | 90° v-notch | Not drained | Not monitored |
Soil water content | 5 cm below surface | 5 cm below surface | Not monitored |
Soil temperature | 5 and 50 cm below surface | 5 cm below surface | 60 cm below surface |
Precipitation | Nearby tipping bucket | Tipping bucket at site | Nearby tipping bucket |
Media characteristics | |||
Media composition | 70% sand, 25% leaf compost, and 5% topsoil | 100% topsoil | 50% sand, 45% leaf compost, and 5% topsoil |
Media texture (USDA triangle) | Loamy sand | Sandy loam | Loamy sand |
Sand:loam:clay | 75:21:3 | 74:20:6 | 77:17:6 |
Effective size | 17 μm | 6 μm | 6 μm |
Uniformity coefficient | 19 | 61 | 61 |
Porosity [m³/m³] | 34% | 44% | 39% |
Bulk density | 1.28 g/cm3 | 1.07 g/cm3 | 1.18 g/cm3 |
Organic matter content (top 15 cm) | 4.3% | 8.4% | 7.8% |
. | RIS . | L34B . | NB21 . |
---|---|---|---|
Design characteristics | |||
Location | Risvollan, Trondheim | Nordberg, Oslo | Sogn, Oslo |
Year constructed | 2010 | 2006 | 2009 |
Drainage area type | 13% asphalt and 87% grass | 46% asphalt, 30% gravel road, and 24% grass | 100% roof |
Drainage area | 8,300 m2 | 291 m2 | 139 m2 |
Surface area | 40.0 m2 | 5.9 m2 | 10.3 m2 |
Surface to drainage area | 0.5% | 2.0% | 7.4% |
Surface to impermeable area | 4.3%a | 16.0%a | 8.2%b |
Maximum ponding height | 16.0 cm | 6.5 cm | 20.0 cm |
Media bed depth | 75.0 cm | – | 80.0 cm |
Drain pipes | 2 × 100 mm | Not drained | Partly blocked 100 mm |
Estimated vegetative cover | 60% | >90% | 80% |
Instrumentation | |||
Inflow | 150° v-notch | 90° v-notch | Not monitored |
Outflow | 120° v-notch | 160° v-notch | 150° v-notch |
Drain | 90° v-notch | Not drained | Not monitored |
Soil water content | 5 cm below surface | 5 cm below surface | Not monitored |
Soil temperature | 5 and 50 cm below surface | 5 cm below surface | 60 cm below surface |
Precipitation | Nearby tipping bucket | Tipping bucket at site | Nearby tipping bucket |
Media characteristics | |||
Media composition | 70% sand, 25% leaf compost, and 5% topsoil | 100% topsoil | 50% sand, 45% leaf compost, and 5% topsoil |
Media texture (USDA triangle) | Loamy sand | Sandy loam | Loamy sand |
Sand:loam:clay | 75:21:3 | 74:20:6 | 77:17:6 |
Effective size | 17 μm | 6 μm | 6 μm |
Uniformity coefficient | 19 | 61 | 61 |
Porosity [m³/m³] | 34% | 44% | 39% |
Bulk density | 1.28 g/cm3 | 1.07 g/cm3 | 1.18 g/cm3 |
Organic matter content (top 15 cm) | 4.3% | 8.4% | 7.8% |
aCalculated as the product of the bioretention surface area and the precipitation depth divided by the cell inflow volume.
bCalculated using a roof runoff coefficient of 0.90.
The RIS site was constructed to retain and detain the runoff from a large catchment before it is discharged to the municipal stormwater system. The catchment consists of asphalt and grass with underlying clay, thus effective infiltration in the catchment is largely restricted. The cell was constructed with bioretention media made by mixing commercial construction sand, leaf compost, and local topsoil. The media bed depth and maximum ponding height were set to 75 cm and 16 cm, respectively. Two perforated 100 mm diameter PVC drain pipes with 5% slope convey infiltrated water to the outlet. In order to obtain control of the water balance, the cell was lined with a 1.5 mm thick polypropylene membrane.
The L34B site was constructed to manage water locally from a driveway. The bioretention media were composed of local topsoil with high infiltration rate, hence no amendments were used at L34B. A brim built around the cell allowed a maximum water height of 6.5 cm to be stored. L34B is not drained by pipes and infiltrated water percolates to well-drained surrounding soils of sandy loam moraine.
The NB21 site was constructed to retain and detain roof runoff from a private house before it is discharged to the municipal storm sewer system. Runoff is conveyed to the cell inlet through gutters. The bioretention media were composed of commercial construction sand, leaf compost, and local topsoil to a depth of 75 cm. The drainage layer of NB21 is sloped so that the layer is visible at the surface (Appendix, Figure S1). The purpose of this design was to facilitate infiltration through the cell during periods when solid frost is developing in the organic matter-rich bioretention media. The maximum ponding height on the surface was set to 20 cm. The surrounding soil is dominated by clay and a drain pipe, perforated below the media depth of 70 cm, which drains the cell. The bottom end of the pipe was partly blocked to allow a maximum of 36 L/min to be conveyed to the storm sewer system. Different from the other cells, only water flows out of the cell and surface water levels were monitored at the NB21 site.
Data collection
The pressure sensors used to monitor the water levels in the three cells were AquiStar®PT-12, 4tech UC2, and LevelTROLL®100, for RIS, L34B, and NB21, respectively. The pressure sensor used in NB21 was not designed to record data at temperatures below freezing, hence no winter data were obtained for this site. For all cells, Vegetronix VH400 Soil Moisture Sensor Probes and PT-100 4 wire soil temperature sensors were used to monitor the water content and temperature of the bioretention media. Precipitation data were collected using Lambrecht 1518 H3 tipping buckets. Sutron Xlite 9210 data loggers were used to record data at intervals of 1 minute (i.e., pressure transducers and precipitation) and 15 minutes (i.e., soil water content, soil temperatures, and air temperature). The soil moisture sensor probes placed at RIS and L34B were calibrated to develop relationships between the dielectric constant and the volumetric water contents (see Appendix for details, available with the online version of this paper).
Analytical methods
An Arts Machine Shop soil corer equipped with plastic liners (inner diameter 3.8 cm) was used to collect cores from a depth of 0 to 15 cm at evenly spaced locations throughout the cells. Core collection was carried out at one occasion only for each cell, and was therefore not expected to affect the overall hydraulic capacity of the cell. Cores were brought to the laboratory, dried for 24 hours at 105 °C and sieved using a 2 mm nylon mesh. Particle size distributions were determined using the Pipette method (Krogstad 1992). The organic matter content (OM) in the bioretention media samples was estimated using the loss on ignition (LOI) method (Krogstad 1992). Ten grams of dry media were weighed, combusted at 550 °C for 4 hours, and then weighed again.
Data analysis
Definition of events and hydrologic parameters
Saturated hydraulic conductivity
The observed infiltration rates (i.e., the recorded decline in ponded water height over time) were used as estimates of the values. A similar approach of estimating
values was used by Emerson & Traver (2008) when monitoring two stormwater infiltration practices at Villnova University, Pennsylvania, USA. The
values were estimated for all hydrologic events that satisfied the following criteria: (1) water ponded on the cell surface; (2) there was no inflow to the cell; (3) the soil moisture sensor probes indicated a completely saturated media; and (4) the recorded data indicated a minimum hydraulic gradient (i.e., ∼1 m/m). Clearly, when using the change in ponded water height over time for the estimation of the
value, there will always be a hydraulic gradient greater than 1, hence the estimate will consistently be higher than the actual
value. Emerson (2008) used the ponding water heights between 24 and 18 cm to estimate the
values, and showed via Monte Carlo sensitivity analysis that the
values obtained by the Green-Ampt infiltration model were, on average, 81% lower than the
values estimated from the observed infiltration rate. Hence, to minimize the influence of the hydraulic gradient on the estimate, only the water heights between 8 and 0 cm were analyzed. At this interval, the ponded water depth versus time data had good linear correlations (R2 > 0.90) for all events analyzed. Although the estimates using this approach may also be influenced by certain factors (e.g., the volume occupied by vegetation on the surface and evapotranspiration) they were deemed sufficient given the scope of this study.







Evaluation of size equations
Rearranged versions of the four simple bioretention size equations that were used to predict the hydrological performance at the two cells where inflow runoff was monitored (RIS and L34B) are listed in Table 2. For each rain event, Equations (5)–(8) were used to calculate the volume infiltrated given the recorded inflow volume
and duration
of inflow, the estimated
values, and the cell specifics given in Table 1. The equations were evaluated by performing linear regression analyses on the observed versus predicted
values using Minitab® 16.1.0 (Minitab 2010).
Size equations used to predict the runoff volume infiltrated (Vinf) at RIS and L34B
Equation . | Description and assumptions . |
---|---|
An equation proposed by Hunt & White (2001) where the capacity to infiltrate runoff equals the above surface volume | |
An equation used to size cells in New York State Stormwater Management Design Manual (NYSDEC 2010). The capacity to infiltrate runoff equals the sum of the above surface volume | |
A derivation of Darcy's law commonly used to design sand filters (Austin 1988) and bioretention cells (Claytor & Schueler 1996; PGC 2007). Because the hydraulic gradient | |
An equation proposed by Paus & Braskerud (2014) where the capacity to infiltrate runoff equals the sum of the above surface volume |
Equation . | Description and assumptions . |
---|---|
An equation proposed by Hunt & White (2001) where the capacity to infiltrate runoff equals the above surface volume | |
An equation used to size cells in New York State Stormwater Management Design Manual (NYSDEC 2010). The capacity to infiltrate runoff equals the sum of the above surface volume | |
A derivation of Darcy's law commonly used to design sand filters (Austin 1988) and bioretention cells (Claytor & Schueler 1996; PGC 2007). Because the hydraulic gradient | |
An equation proposed by Paus & Braskerud (2014) where the capacity to infiltrate runoff equals the sum of the above surface volume |
is the runoff volume infiltrate [m3],
is the bioretention surface area [m2],
is the maximum height of ponded water on the surface [m], h is the average height of ponded water on the surface [m], n is the mean effective porosity in the bioretention media, d is the bioretention media depth [m],
is the saturated hydraulic conductivity [m/h], and t is the inflow duration [h].
RESULTS AND DISCUSSION
Hydrological performance and Ksat values of the three cells
In total, 119 and 173 hydrological events were identified for RIS and L34B during the study period (Table 3). The capacity of RIS to capture and infiltrate the incoming runoff was considerably lower than the capacities of L34B and NB21. For example, overflow occurred for 26% of the events at RIS, while at L34B, overflow was recorded only for 1% of the events (i.e., short-term heavy precipitation during summer), and never at NB21.
Summary of hydrological events for RIS, L34B, and NB21. Hydraulic loading rates (HLR) and saturated hydraulic conductivities (Ksat) are given as the mean ± the standard deviation
. | RIS . | L34B . | NB21 . |
---|---|---|---|
Duration of study period | 36 months (6 June 2011 to 5 June 2014) | 36 months (18 June 2010 to 26 June 2013) | 23 months (11 July 2011 to 24 June 2013) |
Total inflow [cm] | 3,053 | 1,147 | |
Total overflow [cm] | 1,351 | 20 | 0 |
Fraction of volume infiltrated, | 55% | 98% | 100% |
No. of rain events | 102 | 161 | – |
No. of snowmelt events | 11 | 7 | – |
No. of rain-on-snow events | 6 | 5 | – |
No. of events with ponded water | 65 | 6 | 7 |
No. of events with overflow | 31 | 2 | 0 |
Mean HLR [cm/h] | 1.8 ± 1.5 | 1.5 ± 2.7 | – |
Mean | 1.3 ± 0.7 | 45.0 ± 15.3 | 15.9 ± 16.9 |
Geo mean | 2.4 | 49.8 | 23.5 |
Mean | 5.0 ± 5.7 | 52.5 ± 23.7 | 31.5 ± 26.7 |
. | RIS . | L34B . | NB21 . |
---|---|---|---|
Duration of study period | 36 months (6 June 2011 to 5 June 2014) | 36 months (18 June 2010 to 26 June 2013) | 23 months (11 July 2011 to 24 June 2013) |
Total inflow [cm] | 3,053 | 1,147 | |
Total overflow [cm] | 1,351 | 20 | 0 |
Fraction of volume infiltrated, | 55% | 98% | 100% |
No. of rain events | 102 | 161 | – |
No. of snowmelt events | 11 | 7 | – |
No. of rain-on-snow events | 6 | 5 | – |
No. of events with ponded water | 65 | 6 | 7 |
No. of events with overflow | 31 | 2 | 0 |
Mean HLR [cm/h] | 1.8 ± 1.5 | 1.5 ± 2.7 | – |
Mean | 1.3 ± 0.7 | 45.0 ± 15.3 | 15.9 ± 16.9 |
Geo mean | 2.4 | 49.8 | 23.5 |
Mean | 5.0 ± 5.7 | 52.5 ± 23.7 | 31.5 ± 26.7 |
aEstimated from the observed infiltration rates (OIR) during rain events.
bEstimated from the MPD infiltrometer tests.
Precipitation and inflow and outflow hydrographs for RIS (15 August 2011) and L34B (7 June 2011) (upper panel). Surface water head, overflow level (hmax), and media water content (lower panel).
Precipitation and inflow and outflow hydrographs for RIS (15 August 2011) and L34B (7 June 2011) (upper panel). Surface water head, overflow level (hmax), and media water content (lower panel).
The observations in Figure 1 clearly illustrate that the hydrological performance of a bioretention cell is significantly affected by the infiltration rate. The mean values estimated from the observed infiltration rate (OIR) indicate the following order of hydraulic capacity: L34B > NB21 > >RIS (Table 3). In general, the range in
values reflects previously reported values for bioretention cells (Hunt et al. 2006; Asleson et al. 2009; Le Coustumer et al. 2009; Paus et al. 2014b). The results from the MPD infiltration tests support the variation in hydraulic capacities (Table 3). For RIS and NB21, however, the
values estimated using the MPD infiltration tests were two to four times higher than those estimated from the OIR. This could be due to the fact that MPD tests only measure
values in the upper 15 to 20 cm, and thus the estimates will not be affected by physical constraints limiting infiltration below this depth (e.g., surrounding soils with lower permeability, too small or clogged drain pipes, and low exfiltration). Obvious constraints at RIS and NB21 are the impermeable barriers surrounding these cells (i.e., liner and clay). While the physical constraints at RIS and NB21 account for some of the variation in
values for the three cells assessed, the MPD tests indicate that also the surface infiltration at RIS is considerably lower than for the other two cells. One important factor that can impact the
value of bioretention media is clogging by incoming sediments (Langergraber et al. 2003; Li & Davis 2008). However, at RIS the drainage area consists of 87% grass, thus suggesting that the incoming sediment load is expected to be minimal. A more likely explanation for the lower
value at RIS could be the differences in cells' media characteristics (Table 1). Although the grain size distribution profiles for the media in the three cells are relatively similar (see Appendix, Figure S2, available with the online version of this paper), the higher bulk density at RIS indicates that the media has a higher degree of compaction than the media in the two small cells (Table 1). The
value is expected to decrease with increasing compaction as water movement becomes more restricted (Gregory et al. 2006). During the construction of RIS, an effort was made to ensure a smooth and even cell surface. Although this was carried out with care, it cannot be ruled out that the action resulted in a sufficient degree of compaction to affect the
value. Furthermore, also the organic matter (OM) contents are higher and vegetation more established at the two small cells than at RIS (Table 1). Increasing OM content has been reported to positively correlate to increasing
values in soils due to its effects on soil aggregation (Hudson 1994; Saxton & Rawls 2006), and activities of insects and earthworms that can enhance water movement through the soil matrix by their development of macropores (Lamande et al. 2003). Additionally, vegetation can increase hydraulic capacities as root dieback creates macropores in the soil (Archer et al. 2002), and well-established vegetation in bioretention cells has been linked to high
values in previous studies (Hatt et al. 2009; Paus et al. 2014b). The difference in bulk densities, OM contents, and vegetation cover are therefore factors that support the lower
values of RIS than at the two small cells.
Influence of season and temperature on the Ksat values





Monthly mean fraction of runoff volume infiltrated and values estimated from OIR for RIS (left), L34B (top right), and NB21 (bottom right). Fraction of runoff volume infiltrated was not estimated for NB21 as the inflow was not recorded. Missing values represent months without events where water ponded/inflow were recorded.
Monthly mean fraction of runoff volume infiltrated and values estimated from OIR for RIS (left), L34B (top right), and NB21 (bottom right). Fraction of runoff volume infiltrated was not estimated for NB21 as the inflow was not recorded. Missing values represent months without events where water ponded/inflow were recorded.







Saturated hydraulic conductivity estimated by the OIR for rain events versus the temperature 5 cm below the surface (RIS), and air temperature (L34B and NB21). The theoretical relationships were calculated using Equation (4), table values for
and
(Crowe et al. 2005), and intrinsic media permeability values of 4.3 × 10−9 cm2, 161.6 × 10−9 cm2, and 38.7 × 10−9 cm2 for RIS, L34B, and NB21, respectively.
Saturated hydraulic conductivity estimated by the OIR for rain events versus the temperature 5 cm below the surface (RIS), and air temperature (L34B and NB21). The theoretical relationships were calculated using Equation (4), table values for
and
(Crowe et al. 2005), and intrinsic media permeability values of 4.3 × 10−9 cm2, 161.6 × 10−9 cm2, and 38.7 × 10−9 cm2 for RIS, L34B, and NB21, respectively.
Predicting hydrological performance




Results from regression analysis between the predicted runoff volume infiltrated using the four size equations and the observed runoff volume infiltrated for sites RIS and L34B
Equation . | Infiltration . | RIS . | L34B . | ||||
---|---|---|---|---|---|---|---|
Slope . | Intercept . | R2 . | Slope . | Intercept . | R2 . | ||
(5) | None | 1.95 | −1.15 | 0.72 | 2.58 | −0.16 | 0.31 |
(6) | None | 0.94 | 0.07 | 0.92 | 1.23 | −0.06 | 0.85 |
(7) | Constant | 1.41 | 0.68 | 0.82 | 0.97 | 0.01 | 0.98 |
(7) | Temperaturea | 1.29 | 1.61 | 0.65 | 0.97 | 0.01 | 0.98 |
(8) | Constant | 0.94 | 0.14 | 0.93 | 0.97 | 0.01 | 0.98 |
(8) | Temperaturea | 0.96 | 0.30 | 0.86 | 0.97 | 0.01 | 0.98 |
Equation . | Infiltration . | RIS . | L34B . | ||||
---|---|---|---|---|---|---|---|
Slope . | Intercept . | R2 . | Slope . | Intercept . | R2 . | ||
(5) | None | 1.95 | −1.15 | 0.72 | 2.58 | −0.16 | 0.31 |
(6) | None | 0.94 | 0.07 | 0.92 | 1.23 | −0.06 | 0.85 |
(7) | Constant | 1.41 | 0.68 | 0.82 | 0.97 | 0.01 | 0.98 |
(7) | Temperaturea | 1.29 | 1.61 | 0.65 | 0.97 | 0.01 | 0.98 |
(8) | Constant | 0.94 | 0.14 | 0.93 | 0.97 | 0.01 | 0.98 |
(8) | Temperaturea | 0.96 | 0.30 | 0.86 | 0.97 | 0.01 | 0.98 |
a values calculated for the mean event temperature using the linear regression equations from Figure 3.
Predicted runoff volume infiltrated using Equations (5)–(8) versus observed runoff volume infiltrated at RIS.
Predicted runoff volume infiltrated using Equations (5)–(8) versus observed runoff volume infiltrated at RIS.
Clearly, by not accounting for infiltration, Equation (5) fails to predict the runoff volume infiltrated for all events with an inflow volume greater than the surface volume (Figure 4). Hence, the use of Equation (5) will result in oversized bioretention cells. Similarly, Equation (6), which has a constant volume capacity (i.e., the surface storage and the below surface pore volume), fails to predict the runoff volume infiltrated for all events with a sufficient inflow volume. Additionally, for inflow volumes between 6 and 15 m3, the predicted values for Equation (6) are consistently equal to or greater than the observed values (Figure 4). Hence, the assumption that the infiltration rate is not restricting the movement of water through the surface may be incorrect. For bioretention cells where the bioretention media have a low value (e.g., RIS), Equation (6) will result in undersized cells. Furthermore, Equation (7) does not include the above surface storage capacity and therefore fails to predict the runoff infiltrated for events with small- to medium-sized inflow volumes where the hydraulic loading rate typically exceeds the
value. Equation (8), which includes both surface storage and infiltration, has the best fit to the observed data. Finally, including a temperature-dependent
value only marginally improves Equation (8) with respect to the slope, but not the intercept and the R2 coefficient. Hence, it appears that using an annual average
value is sufficient when accounting for the variations in temperature.
Implications for design








Fraction of water volume infiltrated when varying design specifications (hmax, Ksat, Abio) at RIS and L34B. For RIS, the three curves intercept at the current design at which about 58% of the inflow is infiltrated. The effect of varying the hmax value is not shown for L34B because the hydraulic loading rate never exceeded the estimated Ksat value.
Fraction of water volume infiltrated when varying design specifications (hmax, Ksat, Abio) at RIS and L34B. For RIS, the three curves intercept at the current design at which about 58% of the inflow is infiltrated. The effect of varying the hmax value is not shown for L34B because the hydraulic loading rate never exceeded the estimated Ksat value.
From Equation (8) it appears that a high value is beneficial when the cell is to be designed for heavy showers with short duration, while a high
value (i.e., >10 cm/h) is important when precipitation patterns are recognized by long showers with medium to low intensities. However, it may be practically difficult to target a specific
value when designing cells. For bioretention cells operated in cold climates, it is recommended to use a rather coarse bioretention media composition with a high fraction of sand and low fractions of clay and silt to form well-drained cells (Caraco & Claytor 1997; Blecken et al. 2011). Additionally, from the experiences gained when constructing and monitoring the cells in this study, it appears important to: (1) use topsoil of good quality (i.e., low clay content); (2) avoid any form of media compaction; (3) ensure that the size of drain pipes does not constrain water movement; (4) consider pre-treatment to avoid particle clogging as a result of sand usage in cold climate regions; and (5) get vegetation well established.
Clearly, the relationships of Figure 5 may be relevant only for the cases in Trondheim and Oslo and thus it is necessary to climatically adapt the design to representative temperature regimes and precipitation patterns. For example, while using an annual average value can be sufficient for cell sizing in Oslo and Trondheim, it may be necessary to include a temperature-dependent
value in continental climates where the annual variation in temperatures typically are greater than in coastal climates. Inevitably, also-site specific properties such as the catchment size and slope, surface types, and time of concentration have large impacts on the results. For example, the site at RIS received runoff from a large grassed area and the results are therefore not necessarily applicable for cells in dense urban settings with catchments recognized by a high fraction of impermeable area and shorter time of concentration. Further testing and evaluation of cell size equations on existing cells in various catchments and climatic zones are therefore needed.
Certainly, more research is needed regarding the values of various bioretention media compositions and vegetation. Particularly, there is a need to report infiltration rates in existing bioretention cells together with the above-mentioned factors. Additionally, it is necessary to evaluate the effects of salt-laden stormwater on the
values in the cells and, furthermore, how design or media composition can be altered to counteract any negative effects caused by road salt exposure.
CONCLUSIONS
Hydrological data from three bioretention cells located in cold climates were analyzed to evaluate the seasonal effects of temperature on the value and the hydrological performance, and test simple size equations for cold climate bioretention cells.
Certainly, the capacity of a bioretention cell to infiltrate water is a complex process influenced by the initial water content of the bioretention media, the capillary suction, and the pressure head from the ponded water. However, results from this study indicate that the hydrological performance of a cell can be predicted with relatively high precision by using a simplified equation which includes only a few parameters: the cell surface area , the mean
value of the bioretention media, and the maximum level of water on the surface
. Owing to the limited number of cells evaluated in this study, more work is needed in order to validate if the equation can be used to size and design well-functioning bioretention cells. In particular, there is a need to investigate to what extent the size equation is capable of predicting the hydrological performance of cells other than those tested in this study. Furthermore, more knowledge is needed about how to achieve the targeted
value of the bioretention media when designing new cells. Finally, there is a need to address to what extent exposure of road salts can cause reductions in the
value in bioretention cells operated in cold climate regions.
This study shows that bioretention cells operated in regions with cold climates can, if the bioretention media have a low hydraulic capacity, be subject to significant seasonal variability in hydrological performance. In order to account for the seasonal variability value, bioretention media with a sufficiently high value (i.e., >10 cm/h) should be targeted when designing bioretention cells for optimal hydrologic performance in cold climate regions.
ACKNOWLEDGEMENTS
This research was supported by the Norwegian research council project ExFlood, NTNU and NVE. Thanks to Interreg 4b project SAWA, Framtidens byer (Cities of the future), Trondheim municipality and Oslo municipality. The authors would also like to thank Torstein Dalen, Vegard Saksæther, Kjetil Strand Kihlgren, and Mikael Bue for field work.