Theoretical Framework to Assess Green Roof Performance in Mitigating Urban Flooding as a Potential Nature-Based Solution

: Increases in extreme hydro-meteorological events due to climate change and decreases in soil permeability and inﬁltration due to urbanization have increased the risk of ﬂooding, particu-larly in cities. The limitation of the expansion of conventional drainage systems to manage excess stormwater leads to the application of nature-based solutions (NBS) to control ﬂooding. This study explores potential of green roof NBS for rainfall-fed ﬂood reduction, which can utilize existing roof space for deployment. A detailed literature survey using systematic literature-search procedures was conducted to investigate the performance of extensive/intensive green roofs in runoff reduction using monitoring/modeling approaches. Since limited studies have explored the use of semi-intensive green roofs for ﬂood management, a new simulation study has been developed to compare the effectiveness of semi-intensive green roofs. The performance of different types of vegetation used on green roofs in runoff reduction was investigated using a simulation study, which was validated using a real-world green roof deployed in Dublin. to April 2020 and based on a set of pre-deﬁned search keywords focusing on the performance of green roofs. The keywords used were Floods, Nature-Based (NBS), river ﬂow. The search results were further reﬁned based on the available literature where the full text was available. Diverse sources of literature from a multi-disciplinary background were returned because of the search. More than 3000 articles initially appeared because of the search. However, the search was further reﬁned by selecting the articles that have undergone the peer-review process. The articles containing ﬂoods as a hazard were included in the literature search; the rest of the hazards were excluded from processing in this article. To further reﬁne the initial set of articles, a detailed search was conducted on NBS types and their effectiveness, green roof type, performance, and beneﬁts, using the following keywords: ﬂoods, green roof performance, reduction in runoff. The ﬁnal search from the pieces of literature that were considered for this systematic review included 232 papers. The articles which were considered dealt mostly with understanding the reasons for the intensiﬁcation of ﬂoods. The other consequences were associated with ﬂooding and urbanization, the ﬂood control mechanism, and the effectiveness of NBS as ﬂood control. The various policy implications focus on NBS, the types of NBS, green roofs as a type of NBS, the various types of green roofs, and the policies deployed for upscaling the green roof systems.


Introduction
The rapid growth of the global population has resulted in the acceleration of urbanized areas due to the construction of buildings, bridges, and roads [1]. About half of the human population worldwide lives in urban areas [2]. The negative consequence of urbanized growth is an increase in impervious surfaces, which has replaced natural land covers and grasslands [3,4].
Moreover, the loss of natural land covers led to the degradation of urban green spaces [5]. This resulted in a reduction in soil capacity, and reduced soil permeability, infiltration, and the storage of rainwater in soil [6][7][8]. The gradual loss in the permeability of soil has increased the rate of runoff, leading to a high risk of urban flooding [9,10]. As a result of the growth of impervious surfaces, the flood-proneness in cities has shown a rising trend [11,12]. Increases in flood proneness have led to the alteration of hydrological fluxes of a drainage area [13,14]. Further, the process of the disturbance of hydrological fluxes has also been attributed as an impact of climate change and global warming, caused by anthropogenic factors [15,16]. A trend in a significant rise in precipitation has been observed as a result of a warming world. The increase in heavy precipitation aggravates the flooding process further [17]. This is attributed to the fact that the increase in precipitation leads to an increase in streamflow [18]. These factors collectively demonstrate the risk of flooding in various megacities [19].

Characterisation of Flood Events
Several studies have been conducted to inspect the nature of hydrological risks related to urban floods [27][28][29]. The European Environmental Agency investigated the flood risk by examining historical data from 1980 to 2010 and reported that there has been a significant rise in flooding. The study claimed that the situation will get worse in the future [30]. Guerreiro et al. [31] predicted that more than a hundred cities in Europe will be vulnerable to two or more climate impacts, leading to an increase in flooding. In another study, Marchi et al. [28] adopted high-resolution data-based approaches to understanding the hydrometeorological determinants of floods, and analyzed 25 extreme flood events across Europe. This study observed that runoff response exhibited short lag times (mostly < 6 h) throughout the study period during the flooding. Another study, conducted by de Moel et al. [29], highlighted the various approaches, models, tools, and programs available for producing spatially explicit flood maps for Europe. This study observed that, among the different components of a flood map, the flood extent maps were the most frequently used flood maps taken into consideration by 80% of the study. Apart from the flood extent, eight countries have considered flood depth, two countries (Switzerland and Luxembourg) have considered velocity, while, very rarely, propagation (Hungary and Netherlands) was considered for generating the data-driven flood maps.
As a result of various flood risk assessment studies, national flood management (NFM) is a major focus amongst various government-funded research projects and investments [32]. NFM encourages water conservation through practices such as stream conservation and habitat management, with the aim to 'slow the flow'. This means that the aim is to reduce the peak flow by the deployment of techniques to hold the surge of water received from heavy precipitation [33].
To mitigate the substantial harm caused by flooding, it is imperative to focus on the techniques to reduce the peak flow of water. In order to combat the challenges of flooding, nature-based solutions have been explored as a potential urban flood-control mechanism.

Characteristics and Types of NBS
The terminology of NBS was introduced in 2008 to combat the rising impact of climate change by improving environmental performance through (i) the mitigation of the impact of hydro-meteorological hazard risks such as floods, (ii) the improvement of ecosystem services, and (iii) the improvement of overall human health and wellbeing. The performance of nature-based solutions for flood mitigation could potentially be evaluated based on the extent to which the reduction in the rate of runoff volume of peak flow, and the increase in time until the peak, has been achieved. Moreover, an increase in evapotranspiration, soil moisture retention, and crop yield, an improvement in water quality (through abatement of pollutants), and a reduction in urban heat island effects can also be analyzed when evaluating the performance of NBS [51][52][53].
Some of the proposed varieties of NBS that are in use for flood control are bioswales, rainwater harvesting, tree pits, attenuation tanks, infiltration trenches, and green roofs [54]. Applications of those NBS are mostly observed in megacities; however, wetlands are also found in urban areas, while buffer strips of agriculture, wetlands, and riparian forests are deployed in large river catchments as nature-based solutions to flooding [55].
Green roofs help with better stormwater management by increasing the rate of infiltration and evapotranspiration, thereby reducing the overall rainfall-fed runoff flow from the roof to the ground [56]. This study investigates various aspects of green roofs as the chosen NBS. A major advantage of green roofs is that they can utilize an already-existing free space (roofs) for deployment, whereas all the other NBS would require considerable space for deployment that might not be available in an already-developed urban area or in megacities [57]. Hence, this study extensively analyzes the prospective performance of green roofs as NBS for mitigating floods.

Methodology Used to Investigate the Effectiveness of Green Roofs Based on Literature
This paper aims to understand the potential performance of green roofs. To achieve this, an extensive literature review was conducted about green roofs to investigate their nature and types, and their performance as NBS in the reduction of rainfall-fed runoff using monitoring and modeling approaches through a systematic literature search. Furthermore, this study also developed a new simulation model to compare the effectiveness of extensive and semi-intensive green roofs in the reduction of rainfall-fed runoff. It needs to be noted that the performance evaluation of semi-intensive green roofs is limited in the literature.

Systematic Literature Review
Literature searches and reviews based on the Preferred Reporting Items for Systematic Reviews and Meta-Analysis (PRISMA) [58,59] was used for conducting the literature searches. The objective of the systematic literature review was to synthesize and understand factors that resulted in the existence of green roofs as a nature-based solution, how the performance of green roofs as a nature-based solution has helped in the management of run-off and retention processes, and what gaps and research need to be addressed. The goal of the literature review was to answer the following questions: (i) How do the deployed green roofs help in the management of run-off control corresponding to various spatio-temporal conditions (various geographical conditions and scales)? (ii) What type of vegetation, substrate and green roof size has performed well when the green roof was deployed? (iii) What type of green roof innovation and development has been made over the last few years? (iv) What parameters have been successful in understanding the performance criteria of the deployed green roof? Finally, (v) which assessment approaches and models were used previously to understand the performance of deployed green roofs corresponding to different weather and climatic conditions?
Peer-reviewed research articles were identified from the Web of Science, Scopus, ScienceDirect, and Google Scholar databases, covering the period from January 2005 to April 2020 and based on a set of pre-defined search keywords focusing on the performance of green roofs. The keywords used were Floods, Nature-Based Solutions (NBS), Green Roofs, Stormwater Runoff, river flow. The search results were further refined based on the available literature where the full text was available. Diverse sources of literature from a multi-disciplinary background were returned because of the search. More than 3000 articles initially appeared because of the search. However, the search was further refined by selecting the articles that have undergone the peer-review process. The articles containing floods as a hazard were included in the literature search; the rest of the hazards were excluded from processing in this article. To further refine the initial set of articles, a detailed search was conducted on NBS types and their effectiveness, green roof type, performance, and benefits, using the following keywords: floods, green roof performance, reduction in runoff. The final search from the pieces of literature that were considered for this systematic review included 232 papers. The articles which were considered dealt mostly with understanding the reasons for the intensification of floods. The other consequences were associated with flooding and urbanization, the flood control mechanism, and the effectiveness of NBS as flood control. The various policy implications focus on NBS, the types of NBS, green roofs as a type of NBS, the various types of green roofs, and the policies deployed for upscaling the green roof systems.

Performance Evaluation Study
Based on the literature search, around 136 papers (out of 232) were identified that discussed the effectiveness of green roofs. The set excluded conference proceedings and non-peer-reviewed articles. After removing repeatedness and similarities from the selected 136 articles, 47 papers were extensively reviewed, and the outcome from those papers was documented in this study. Furthermore, a new simulation study has been proposed to investigate the effectiveness of extensive and semi-intensive green roofs in the reduction of rainfall-fed runoff by considering a different variety of vegetation that can replace the conventional vegetation used for green roofs. The types of vegetation range from fruit, medicinal plants, and cash crops. The following section discusses the different aspects of green roofs in detail, while Section 4 provides details on the performance evaluation of green roofs in runoff reduction noted in the literature survey and based on the proposed simulation study.

Evolutions of Green Roofs
Green roofs were anciently popular as rooftop gardens. The most popular of them were the hanging gardens of Babylon, established around 500BCE. In the recent past, many countries, such as Sweden, Finland, Iceland, Denmark, and Norway, started covering their roofs with sod during extreme climatic conditions. The modern green roof system was formalized in Germany in the year 1960. In Germany, the construction of green roofs was initially started for the reduction of energy consumption in the buildings. Initially, in Germany, around ten percent of the buildings across several cities had green roofs deployed on them [60]. The modern green roofs were mainly used for improving urban biodiversity, ecological enrichment, and the design of cost-effective rooftops. With technological advancements, the performances of green roofs were tested by implementing different vegetation substrates for achieving an optimal level of runoff retention [61]. Herman [62] reported that green-roof deployment has been responsible for managing various socio-ecological challenges over the past twenty years. These applications have become significantly popular in Germany, Austria, and Switzerland. In 2003, nearly 14% (13.5 km 2 ) of the total area covering rooftops in Germany was supported by green roofs. FLL [63] proposed an updated design for modern green-roof construction. Subsequently, new legislation was passed favoring the construction of green roofs on newly built or renovated buildings with flat roofs in Switzerland [60,64]. In the UK, the Construction Industry Research and Information Association's Sustainable Urban Drainage System (CIRIA SUDS) guidance [65] has strongly recommended the application of green roofs as an effective and sustainable urban drainage system. CIRIA had designed and formulated guidelines providing a theoretical and technical framework for installing green roofs and living walls in the UK [65]. In Toronto, the Green Roof Bylaw and the Eco-Roof Incentive program was enacted, which led to a substantial increases in green roof grants, subject to the approval of the city council. The Green Roof Bylaw required the construction of green roofs on new industrial, commercial, as well as residential infrastructure. Eco-incentive programmes aided new Catholic and public schools to deploy green roofs 'voluntarily' on buildings with areas less than 2000 square meters. The New York City Building Code has defined that new and existing buildings undergoing renovations will require 100% available roof space as a sustainable roofing zone. The sustainable roofing zone covers green roofing, solar panels, and wind turbines in its definition. Similarly, a Stormwater Retention Credit Training Program has been implemented in Washington DC, where every gallon of stormwater retained through a deployed green roof earns one credit. The credits are sold to the Department of Environment at a price ranging from USD 1.70 to USD 1.95 [57,66].
The European Commission [67] published the strategic framework as a part of the natural capital accounting report to support the deployment of green and blue roofs as an infrastructural mechanism through natural solutions. The aim of the framework is to improve the flow of ecosystems by increasing urban green spaces. The EC has drawn attention to the deployment of zero-energy buildings within the EU from the year 2020. This EU initiative to deploy the renovation strategy is designed to help European countries to comply with the Paris Agreement on climate change. The report has a special mention of nature-based solutions, such as green roofs and other green infrastructure [68].
The Greater Dublin Drainage Study of 2005 [69] has recommended green roofs as a sustainable urban drainage system for managing run-off and stormwater. Moreover, green roofs have also received significant importance in improving water quality and habitat management. The green rooftops have received a special mention in the Dublin city council's green infrastructure strategy 2016-2022 for water management [70].

Technical Description of Green Roofs
The composition of a green roof usually consists of five components [71][72][73][74]: (i) a vegetation platform as the topmost layer, followed by (ii) a planting substrate medium (soil), (iii) a geotextile filter, (iv) a drainage layer placed as the bottom-most part of the green roof portion, and (v) a waterproof membrane bonded to the other layers and which acts as a protective barrier for the real roof ( Figure 1). The waterproof layer helps with the easy repair of the green roof in case of leakage from the other substrates of the green roof. The drainage and retention layers drain the water percolates through soil as runoff. The geotextile filter functions as a protective layer to prevent other parts from falling into the drainage layer and blocking the drainage system. The planting medium, combined with the vegetation layer, reduces the runoff through evapotranspiration and water-storage activities. The characteristics and structure of a green roof implementation have a direct influence on its performance and efficiency. Despite having varying degrees of performance, the basic structure of a green roof remains unchanged (as described in Figure 1). The substrate (planting medium) used for growing the vegetation in a green roof can have a variable level of depths. Based on the depth of each layer used in the green roof system, the system can be classified as extensive, intensive, or semi-intensive. The major advantage of extensive green roofs is that they are lightweight, require low maintenance of the rooftops, require less nutrition for the plants, and do not need any irrigation. On the other hand, the intensive green roofs are considerably heavier, need specific building and rooftop designs for deployment, and require regular maintenance and irrigation. The semiintensive green roofs are a combination of both extensive as well as intensive green roofs. A wider variety of plants can be included in semi-intensive green roofs compared to the extensive roofs, have lighter weights compared to intensive roofs, and generally do not require any specific design of the building and rooftops; however, the maintenance and irrigation requirements depend on the type of plantation. The extensive green roofs have substrate depths ranging from 6 to 20 cm and can weigh approximately 20 to 150 kg per square meter. The plant species used for extensive green roofs are shallow-rooted plant varieties such as grass, sedum, moss, and other drought-resistant species [73]. Intensive green roofs are more favorable for deep-rooted plant species. The substrate depth of intensive green roofs can have a 15-cm deep substrate, which can support the growth of trees and shrubs. Intensive green roofs have shown a greater effectiveness in controlling surface runoffs, compared to the other variants of green roofs. The choice of plant variant for green roofs ranges from perennial plants to small trees. Intensive green roofs are heavier in weight, ranging from 180 to 500 kg per square meter. The deeper substrates of intensive green roofs have a synergic effect on enriching biodiversity and biomass produced by trees growing in the vegetation layer [75]. The semi-intensive green roofs can weigh between 120 and 200 kg per square meter. The intensive green roofs are the most expensive and the extensive green roofs are the least expensive to install and maintain.
The overall performance of the green roof system is evaluated by observing the following characteristics of the hydrological processes: (i) prolonging the runoff initiation; (ii) reduction of the volume of runoff; and (iii) extension of the runoff process via slow releases of excess substrate pore water [76]. The excess soil water and moisture contents will be merged with the downstream drainage system [77]. During a normal rainfall event, green roofs store the rainwater in the substrate/vegetation layer. The stored water subsequently evaporates from the substrate or vegetated soil surface [78,79]. Conversely, the extensive green roofs are less heavy, lightweight, cheaper, and require less maintenance costs and thus have gained wider acceptability [71,73,74]. The type of vegetation used for the construction of a green roof is widely dependent on various factors, such as the climatic conditions, the season of occurrence, and the type of irrigation used for cultivation [80]. Some studies suggested that intensive green roofs can sometimes add extra stress to the building structure. The trees and bushes used in intensive green roofs may have a deeper growing medium, which carries the extra weight associated with it [81]. Bengtsson et al. [82] suggest that the deployment of an intensive roof might require modifications to the building.

Co-Benefits of Green Roofs
It has been observed in various pieces of literature that green roofs have multiple co-benefits associated with their operation, along with their main benefit of increasing stormwater retention [83][84][85][86], attenuating the peak discharge volume [77,87] and delaying the peak discharge [88,89]. The constructed green roofs can enrich biodiversity and ecological resources by helping the growth of plants and allowing the associated natural habitats to colonize [90,91]. The green roofs have been shown to have an increase in thermal comfort at the city scale [92][93][94]. Furthermore, the green roofs help with the beautification of landscapes, which has helped with the mental well-being of the population [95,96]. Apart from flood control, green roofs have also shown the reduction of air pollution [97][98][99]. As the major focus of this research is on flood control, a detailed study was conducted to investigate the effect of green roofs on flood mitigation alone.

Evaluating Green Roofs Performances in Flood Mitigation/Control
The potential of green roofs in controlling floods induced by rainfall-fed runoff can be evaluated mainly through one of the three factors: (i) decrease in total flood volume, (ii) decrease in peak flow, and (iii) increase in time taken to reach peak flow from the start of the rainfall event. A detailed literature survey was conducted to identify a list of research publications that estimated the effectiveness of green roofs used for the reduction of rainfallfed runoff. The analysis can be broadly classified into two subcategories, a monitoringbased approach and a modeling-based approach. In the monitoring approach, runoff data from an existing green roof was collected and compared with runoff data without green roofs, whereas, for the modeling approach, runoff data were simulated from a real/hypothetical green roof based on real-world meteorological data that are essential to generate the runoff using the model. This study also developed a new simulation model to compare the effectiveness of extensive and semi-intensive green roofs in the reduction of rainfall-fed runoff. It is worth mentioning that limited studies have investigated the performance evaluation of semi-intensive green roofs. The proposed simulation study considers four different types of vegetation: grass/sedum, strawberry, mint, and cotton. The commonly used plant species for extensive and semi-intensive green roofs are sedum or grass lawns [79,100,101], which have been considered for the simulation study as the base vegetation. Strawberry, as a fruit, mint, as a medicinal plant [102], and cotton, as a cash crop, were also considered to investigate their performance for flow reduction compared to the commonly used grass/sedum. It is imperative to mention that selection of the type of plant used for a green roof can greatly influence the aesthetic value [103] as well as other factors that may induce the interest of the communities to maintain the green roof. Various other co-benefits associated with green roofs, such as consuming the produce from the plants of the green roof for food [104] or using the plants for medicinal purposes or as a cash crop, can be obtained by using a different variety of vegetation. It can be noted that intensive green roofs were not considered in the simulation study, as the deployment of intensive green roofs generally requires a specific designing of the buildings and the rooftops [105]. Hence, the majority of residential buildings might not be suitable or lack the feasible provision for the deployment of an intensive green roof.

Hydrological Performances of Green Roofs Observed in the Literature
Performance evaluations for green roofs across the world were performed by either simulations based on hydrological models or by observations obtained using monitoring stations.

Monitoring Methods for Green Roof Performance Evaluation
A set of studies have estimated the effectiveness of green roofs in reducing the volume of flow by comparing them with situations without any green roofs. Both intensive and extensive green roofs have been considered in various studies [106,107]. The effect of vegetation types, such as sedum, meadow, stacys, or radix ophiopogonis, have also been considered by different studies, and intercomparison within the inflow reduction was observed [79,100,101]. Furthermore, the effect of soil thickness and soil moisture content (dry/wet soil) were also investigated for the performance evaluation of green roofs [108][109][110]. A few of those studies focused on individual storm events (minute/hourly/daily time scale), while others estimated the effectiveness of green roofs at monthly or seasonal (dry or wet season; summer or winter) or annual time scales [77,88,[111][112][113]. Details on those studies are provided in Table A1 in Appendix A. The table summarizes information on the performance of green roofs, corresponding to types of rainfall events.

Modeling Methods for Green Roof Performance Evaluation
Few studies have considered hydrological models to simulate the effect of green roof inflow volume reduction. The Storm Water Management Model (SWMM) was found to be the most commonly used hydrological model for modeling the water cycle with green roofs [114][115][116][117][118]. However, models such as the Conceptual Hydrological Flux Model [119], HYDRUS-1D [120,121], MIKE-SHE [47], Modelling of Urban Sewers [122], Soil Conservation Service Curve Number [11,123], Sobek [124], System for Urban Stormwater Treatment and Analysis Integration [125], Soil Water Atmosphere and Plant [126], and SWMS-2D [127] has been in use by several researchers to simulate the effectiveness of green roofs. The majority of those models run at a minute/hourly scale and correspond to a given storm event; however, in some situations, the models were run for daily [125], monthly [126], or even annual [119] scales as well. The major advantage of the use of hydrological models is that several hypothetical scenarios, where a different portion of the buildings covering green roofs (single/collection of buildings; 20%/25%/50%/100% of the area covered with green roofs) can be simulated and the increase in flow volume reduction, can be estimated [47,116]. One disadvantage of modeling is that, in certain situations, the effectiveness of those models needs to be evaluated through real-world monitored data. Currently, only a limited number of studies have shown model validation using monitored data [114,127].

Evaluating the Performance of Green Roofs Using a Simulation Study
To assess the performance of green roofs, it is necessary to estimate the overall runoff and amount of water reduction. For this purpose, a simple water balance approach can be used, expressed as follows: where RO denotes the combined runoff from the overland flow and infiltrated water; P is the observed precipitation; ET is the evapotranspiration; and ∆SMC is the changes in soil moisture content. In this study, ET and ∆SMC are modeled/calculated, while P is observed. Finally, RO at each time step is estimated from Equation (1). All the terms in the equation are provided in depth per time unit. In this analysis, the time step is considered to be on a daily scale. A flowchart of the model is shown in Figure 2 and the details of the model are explained as follows: The total runoff from the green roof RO for a chosen day was considered to depend on the total precipitation that occurred on the given day, the total amount to evapotranspiration ET on that day, and changes in soil moisture content (SMC) of the soil on the green roof. Increases in precipitation led to higher runoffs, while an increase in evapotranspiration reduced the runoff. A positive (negative) change in SMC indicated an increase (decrease) in soil moisture from the previous day. An increase in SMC indicated that the soil held more water, which led to a reduction in runoff from the green roof, and vice versa. Out of the three required variables, precipitation was measured using rain gauge sensors, while the evapotranspiration was estimated based on the Penman-Monteith method, whereas the changes in SMC was modeled using an approach proposed in this study. The model requires daily maximum, minimum, and average temperatures, daily maximum and minimum relative humidity, daily average wind speeds, and daily sunshine duration as inputs for the estimation of evapotranspiration. The actual evapotranspiration depends on the type of vegetation, quantified using a crop coefficient that varies with the crop type. The estimation of changes in soil moisture content requires the depth of soil strata. Precipitation is the source of rainfall-fed runoff, and was also used to estimate the soil moisture content.

Precipitation
The proposed model runs on a daily time scale, similar to Burszta-Adamiak and Mrowiec and Gao et al. [114,125], where the SWMM and SUSTAIN models were used, respectively, to investigate the effectiveness of green roofs in runoff reduction. The precipitation required to simulate the proposed model can be the observed rainfall for 24 h.

Model to Estimate Evapotranspiration
As per the Food and Agriculture Organization (FAO) guidelines, the FAO Penman-Monteith method is recommended [128] to estimate the reference crop evapotranspiration ET 0 , where the maximum possible evapotranspiration under standard conditions ET potential is a product of ET 0 and crop coefficient K c : The standard condition denotes disease-free and well-fertilized crops with optimal soil-water conditions, whereas the considered reference crop is grass.
The advantage of the FAO Penman-Monteith method is that the model is physically based, can account for both physiological and aerodynamic parameters, and closely resembled experimental studies. Details of the FAO Penman-Monteith method to estimate reference crop evapotranspiration are provided below: where ET 0 is the reference crop evapotranspiration (mm day −1 ); R n is the net radiation at the crop surface (MJ m −2 day −1 ); G is soil heat flux density (MJ m −2 day −1 ); T is the mean daily air temperature at a 2-m height ( • C); u 2 is the wind speed at 2-m height (m s −1 ); e s is the saturation vapor pressure (kPa); and e a is the actual vapor pressure (kPa), where (e s − e a ) is the saturation vapor pressure deficit (kPa); ∆ is the slope of the saturation vapor pressure-temperature curve (kPa • C −1 ); and γ is the psychrometric constant (kPa • C −1 ).

Estimation of Net Radiation R n
The R n is the difference between the net radiation between short (R ns ) and long wavelengths (R nl ), given as: where R ns (MJ m −2 day −1 ) is the (incoming − outgoing) radiation for short wave (solar radiation) and R nl (MJ m −2 day −1 ) is (outgoing − incoming) radiation for long waves.
The net solar radiation R ns can be estimated as: where α is the albedo and R s is solar radiation (MJ m −2 day −1 ). In general, the albedo ranges between 0.2-0.25 for green vegetation cover, and a value equal to 0.23 was considered for this study.
The solar radiation can be estimated using the following equation: where R a (MJ m −2 day −1 ) is extra-terrestrial radiation, n/N is the relative sunshine duration, and a s and b s are Angstrom coefficients taking values 0.25 and 0.5, respectively. Relative sunshine duration expresses the cloudiness of the atmosphere as the ratio between the actual duration of sunshine (n) and the maximum possible duration of sunshine or daylight hours (N). R a at a given latitude for a given day can be estimated as follows: where G sc is solar constant equal to 0.0820 MJ m −2 min −1 ; d r is the inverse relative distance Earth-Sun; ω s is the sunset hour angle (radian); ϕ is the latitude of the location (radian); and δ is the solar declination (radian). The terms in Equation (7) can be estimated as follows: where J is the Julian day ranging from 1 (1 January) to 365 or 366 (31 December), and Days is either 365 (non-leap year) or 366 (leap year).
The net longwave radiation R nl (MJ m −2 day −1 ) can be estimated based on the Stefan-Boltzmann law as: where σ is the Stefan-Boltzmann constant (= 4.903 × 10 −9 MJ K −4 m −2 day −1 ); T max,K is the observed maximum absolute temperature over 24-h (K); T min,K is the observed minimum absolute temperature over 24-h (K); R so is the clear-sky radiation (MJ m −2 day −1 ); and e a and R s are defined earlier. The clear-sky radiation can be estimated as: based on Equation (6) by considering n = N.

Estimation of Soil Heat Flux Density G
As per the guidelines of the FAO [128], the soil heat flux density G at the daily scale is relatively small and can be ignored, i.e., Estimation of Mean Daily Air Temperature T The mean daily temperature can be estimated as the average of the maximum and the minimum air temperature observed over 24 h at a 2-m height.
Estimation of Wind Speed at 2-m Height u 2 To estimate the reference crop evapotranspiration using the FAO Penman-Monteith method (Equation (3)), the anemometer needs to be located at a height of two meters from the vegetated surface [128]. In situations where the wind speed was recorded at z 0 meters altitude instead of a 2-m height, the wind speed at 2 m u 2 can be estimated from the recorded wind speed u z 0 by assuming a logarithmic wind speed profile as Estimation of Saturation Vapor Pressure e s The mean saturation vapor pressure can be estimated based on the 24-h maximum T max ( • C) and minimum T min ( • C) temperatures as, where, Estimation of Actual Vapor Pressure e a The actual vapor pressure can be estimated based on the maximum and minimum observed relative humidity RH max and RH min , respectively: where T is the mean daily temperature in • C.

Estimation of Psychrometric Constant γ
The psychrometric constant can be estimated as where c p is the specific heat at constant pressure (=1.013 × 10 −3 MJ kg −1 • C −1 ); p is atmospheric pressure (kPa); ε is the molecular weight ratio of water vapor/dry air (=0.622); and λ is the latent heat of vaporization (=2. 45 (20) where z is the elevation above sea level (meters).

Method to Estimate Changes in Soil Moisture Content and Runoff
To estimate the change in soil moisture content between two successive time steps (day), this study developed a new concept by assuming that if a given day is a non-rainy day, then the available soil moisture from the previous day will either be completely utilized by the vegetation through evapotranspiration, or any excess water will be percolated through the soil and contribute to runoff within a period of 24 h. Since the soil depth is extremely shallow for this study (80-150 mm), this assumption can be considered acceptable. A similar assumption has been considered by Soulis et al. [74]. Furthermore, it can be considered that overland runoff will be generated only when the soil becomes fully saturated. Based on the assumption, one of the following scenarios should occur, where SMC t−1 and SMC t are the soil moisture content of the previous and current day, respectively, and where ET potential is the maximum possible value of evapotranspiration on a given day, considering sufficient water is available, and SMC saturated is the maximum possible soil moisture content during saturation. The value of ET potential for a day can be estimated using Equation (2), while the actual evapotranspiration in the simulation study can be estimated based on the equations provided below: (a) Non-rainy day (P = 0): The case I: If ET potential ≥ SMC t−1 : Case II: If ET potential < SMC t−1 : (b) Rainy day (P > 0): The case I: If ET potential ≥ P + SMC t−1 : Case II: If ET potential < P + SMC t−1 :

Simulation Study
An investigation of the effectiveness of green roofs in reducing runoff was carried out using a simulation study based on the approach described in Equation (1) and Sections 4.2.1-4.2.3. To run the simulation model for an estimation of runoff reduction using extensive/semi-intensive green roofs with different types of vegetation, five observed meteorological variables, namely, precipitation, temperature, wind speed, relative humidity, and relative sunshine duration, are required. A hypothetical green roof located in Dublin, Ireland was considered to conduct the aforementioned simulation study. Dublin is considered to exhibit a higher flood-risk due to urbanization [129][130][131]. The data for the meteorological variables at an hourly scale were obtained from MET Eireann [132] weather station, located at Dublin airport at 73 m altitude from the mean sea level for the period 1 January 1990, 12 AM, to 1 March 2020, 12 AM. The location of the weather station is shown in Figure 3. Following this, the daily total precipitation, daily maximum and minimum temperatures and relative humidity, daily mean wind speeds, and daily relative sunshine duration were estimated from the hourly data. The hourly as well as daily time series data of each of those meteorological variables except sunshine duration are provided in Figure 4. Based on the observed meteorological data and the figures, it can be noted that around 60.23% of days in the selected time period (1 January 1990 to the end of 29 February 2020, comprising 11,017 days) were non-rainy, while the remaining 39.77% of days exhibited rainfall. The average rainfall in the rainy days was found to be 3.51 mm/day, while the maximum recorded rainfall intensity in the selected period was 26.5 mm/hour. Out of the 11,017 days considered in the simulation study, 539 days (~4.89%) had rainfalls greater than 10 mm, 120 days (~1.09%) had rainfalls greater than 20 mm, whereas 44 days (~0.4%), 18 days (0.16%), and 6 days (~0.05%) had more than 30 mm, 40 mm, and 50 mm of rainfall, respectively. The temperature was found to vary considerably throughout the year in Dublin. The range of recorded daily maximum temperatures was found to vary from −4.9 to 28.5 • C, while the range for daily minimum temperatures was −11.5 to 18.8 • C, with a mean temperature of 9.76 • C. Around 2.11% days recorded temperatures below 0 • C. The relative humidity ranged from 25-100%; however, the average relative humidity was 82.96%. The average wind in the city was 5.43 m/s (~19.54 kmph), and the highest recorded wind speed was 23.15 m/s (~83.34 kmph). Furthermore, the average sunshine duration was found to be around 4.01 h. Overall, the meteorological data indicate that the city was humid, exhibited high wind, moderate precipitation, and relatively low sun exposure, and that the temperature did not rise above 30 • C in the summertime, while only 7-8 days in winter (~2%) recorded temperatures below 0 • C.  [128]. Two different soil depths of 80 mm (shallow) and 150 mm (medium) were considered for this simulation study to estimate green roof performance. The shallow-depth hypothetical roof was a representation of the extensive green roof, while the medium-depth roof replicated semi-intensive green roofs. Clay was considered as the soil type, and the available water content for the soil was considered to be 175 mm per one-meter soil depth, as per the FAO guidelines [133]. Subsequently, simulations were performed to estimate evapotranspiration, changes in soil moisture content, and runoff on a daily scale.
Runoff from the green roof at a daily time scale was simulated using the simulation model described in Sections 4.2.1-4.2.3. The daily values of reference crop evapotranspiration ET 0 were estimated based on the daily average, the maximum and minimum temperature, the daily maximum and minimum relative humidity, the daily average wind speed, the and daily sunshine duration values. The time series plot of ET 0 is shown in Figure 5. The actual evapotranspiration ET varies with the vegetation type, soil depth, precipitation, and soil moisture content. In this simulation study, eight combinations of vegetation types and soil depths (four types of vegetation and two different soil depths) were used to simulate the actual evapotranspiration and the corresponding runoff from the green roof. For comparison, the runoff was compared to the expected runoff without the presence of green roofs. In situations where the green roof was not available, the runoff will be equal to the precipitation excluding evaporation. The evaporation was estimated using the combined aerodynamic and energy balance method [134]. Subsequently, the difference in the runoff with and without the green roof was estimated at a daily time period for each of the eight green roof cases. Reductions in runoff due to the green roof on days exhibiting greater than 50 mm, 40 mm, 30 mm, 20 mm, and 10 mm precipitation were obtained in terms of percentage and are shown in Table 1. Scatterplots of runoff without and with the green roofs are shown in Figure 6, where the runoffs without the green roof are plotted along the horizontal axis and the runoffs from the green roof are plotted along the vertical axis as points. Each point in the figure denotes the daily runoff obtained based on the simulation study. The 1:1 line, shown in cyan, indicates that points in that line would have the same runoff with and without the green roof, while points falling below the line indicate a reduction in runoff due to the green roof. Each figure was segregated by considering only those days where rainfall is greater than 10 mm, 20 mm, 30 mm, 40 mm, and 50 mm, respectively. Furthermore, runoff from each of the eight green roofs was shown in the figures. The figures clearly indicate that the reduction in runoff increases with an increase in soil depth and that mint is most effective, compared to other vegetation.  The reason for considering only those days with higher rainfall (>10 mm-50 mm) is that the goal of the green roof is to reduce runoff in situations with a higher probability of flooding. It can be noted from the table that the percentage reduction in the runoff increases when the minimum rainfall amount considered is lowered. This can be attributed to the fact that on those days where there is less rainfall, the total/majority of the rainfall is either being stored in the soil as soil moisture content or is contributing to evapotranspiration. The reduction in runoff is the minimum for days having the highest precipitation, as the soil becomes fully saturated and is unable to hold any further water, and evapotranspiration reaches its maximum value, leading to high runoff (overland and/or infiltrated). Reduction in runoff is found to be higher with more soil depth on rainy days. This is because the water-holding capacity of soil increases with an increase in soil depth, as thicker soil can hold more water during a rainfall event leading to a reduction in peak runoff and a delay in the peak. However, it needs to be noted that the extra amount of water stored in the soil will eventually contribute to infiltrated runoff for a longer duration, ensuring the total runoff is the same for both shallow and medium soil depths. In terms of the types of vegetation considered in this study, the mint was found to have the highest efficiency in the reduction of runoff, followed by grass, strawberries, and cotton. This is attributed to higher crop coefficient values and subsequently higher evapotranspiration.

Real-World Case Study
The effectiveness of the developed model has been estimated based on a real-world case study conducted in Dublin, Ireland. A green roof was deployed in the CHQ building located at the city center in Dublin for the study. The green roof was deployed in February 2021 and had a total size of 70 sq. m. The green roofs consisted of 70 modular units, each having an area of 1 sq. m, and are shown in Figure 7a. The vegetation cover used for the green roof was sedum. In order to evaluate the effectiveness of the green roofs in runoff reduction, a set of weather variables were measured from 21 February 2021 to 28 February 2021. The variables considered were rainfall, temperature, wind speed, relative humidity, and sunshine hours. They were measured using a set of sensors installed on the roof of the CHQ buildings located adjacent to the deployed green roofs. The rainfall was measured using a rain gauge sensor and the temperature was measured using a temperature sensor, while the other three meteorological variables were measured using weather stations installed on the roof of the CHQ building. The rainfall and temperature were measured at 10-min time intervals and the other three variables (wind speed, relative humidity, and sunshine hours) were measured at an hourly scale. To estimate the reduction in runoff from the green roofs, four modular roofs were considered in this study. The weight of each of those modular roofs was measured at 10-min intervals using IoT weight sensors.
Changes in the weight of the modular trays were used to estimate the runoff from the green roof. The weight of the modular tray along with the green roof is shown in Figure 7b. Based on the measured weather variables, the runoff from the green roof was simulated for the selected duration using the proposed model given in Equation (1). Comparisons of the modeled runoff and the measured runoff are shown in Figure 7c. The differences in runoff obtained using measured data and the modeled output were quantified by using three statistical measures: (a) Nash-Sutcliffe Efficiency (NSE): where y(t) is the observed runoff at time t,ŷ(t) is the model predicted runoff at time t, T is the number of daily data points, and y = ∑ T t=1 y(t)/T is the mean observed runoff. (b) Pearson correlation coefficient (CORR): (c) Kling-Gupta Efficiency (KGE): .
The value of NSE and KGE ranges from (−∞, 1 ), while CORR ranges from (−1, 1). The values of all three error measures, NSE, KGE, and CORR, tend to unity as model predictions become closer to the observed values.
A comparison of the time series plots of measured and modeled runoff (Figure 7c) indicates that the model slightly overpredicts the peak runoff and underpredicts the low runoff. However, the differences between the observed and modeled predicted runoffs are considerably low. The values of the statistical measures are: NSE = 0.961, CORR = 0.999, and KGE = 0.806. All three measures are sufficiently close to unity. The results indicate that the proposed model can be used to simulate the runoff from a green roof at a daily time scale.

Discussion and Conclusions
This paper focused on the assessment of the performance of a green roof system for controlling flood risk. To achieve this, a new innovative simulation model has been proposed to evaluate the extent to which the green roof can maximize flood risk reduction. The extensive literature review has shown a current trend where there is a shift of focus from artificial (gray) flood mitigation systems to a natural and sustainable systems (green/blue solutions). It is imperative to investigate the effectiveness of green roofs by using a combination of realistic models and real-world monitored data to understand the water cycle dynamics. The primary goal of the simulation study is to understand the dynamics of the rainfall-runoff system with and without the presence of a nature-based solution, which can help with deciding on the type of NBS that might be suitable for realworld deployment. The developed model is a function of rainfall intensity and duration at the daily timescale, for vegetation type, soil depth, and soil moisture content. Since the proposed model considers the daily time scale, it can be used for long-term performance evaluations of green roofs. The developed model has been validated by considering one week's data obtained from a green roof deployed in the CHQ building located at the city center of Dublin, Ireland. The green roof was deployed in February 2021, and, at present, only limited data has been made available. Longer weather data will be collected in the near future, once the restrictions due to COVID-19 are lifted. The performance of the proposed model in different weather conditions with varying intensities, and durations of rainfall, temperatures, and wind speeds need to be evaluated. Ongoing research focuses on collecting data from the green roof for this purpose. A good amount of data, once gathered from the green roof pilot, can give us precise information about urban flooding. Furthermore, it needs to be noted that since the time interval of the proposed model is at a daily scale, the model cannot be used to estimate runoff from a green roof at hourly/sub-hourly time scales. In situations where the focus is on individual storm events occurring over a short time period, the changes in rainfall intensity within the short time period and the duration of the storm event will become important. A different model needs to be developed to simulate runoff at a finer time scale. Current research is focusing on the development of another green roof model for Dublin based on the real-world measurements collected at the CHQ building in Dublin. The objective of the new model would be to account for its effectiveness in every individual storm event where the runoff is simulated at an hourly/sub-hourly time scale.
The information from this type of study would be valuable for the identification of optimal locations for the placement of the green roofs, and will help with designing a robust green-roof structure efficiently and economically. Based on this analysis, it has been noted that, to achieve a considerable reduction of rainfall-fed runoff (pluvial flooding), green roofs need to be deployed at multiple locations across the urban area. An effective system of green roofs has the potential to develop a robust flood-control network.
The deployment of the green roof has been evident in several highly urbanized locations, where green strategies have been undertaken for the implementation of green roofs. One such example is the deployment of a green roof in Singapore. To build trust in the green roof system, standardized support and general principles for planning, design, execution, and maintenance were aligned with the best practices [135]. Various ecological compensation and other financial incentives can be considered at a broader scale to increase the uptake of green roofs. Nature-based enterprises and organizations can be leveraged to deliver the upscaled deployment of green roofs in cities [136].

Informed Consent Statement: Not applicable.
Data Availability Statement: Data used for conducting the simulation analysis in this study are publicly available from the following link: https://www.met.ie/climate/available-data/historicaldata accessed on 24 November 2021.

Conflicts of Interest:
The authors declare no conflict of interest. Overall reductions in runoff by the green roof were found to be 94.2% during light rainfall, 89.5% during medium rainfall, and 63.3% during heavy rainfall.

Appendix A
The green roof and its design has significant potential for carbon sequestration. The overall reduction of runoff at monthly scale was measured during the study period. The reduction was found to vary from 34-95%, where the reduction was more in summer months and less in spring.
The green roofs with vegetation cover were able to sequester 375 g of carbon per square metre.
GThe green roof provides opportunity to sequester carbon. [138]  The overall reduction of runoff at the three cities considered in the study are as follows: Vancouver: 29%; Kelowna: 100%; Shanghai: 55%.
The model shows decreases in daily actual evapotranspiration as the antecedent dry period increases. The presence of an additional storage layer in the green roof helps in reduction of runoff and increases actual evapotranspiration.
[123] The performance of the green roof in runoff reduction was found to be 10-35% in the wet season and 65-100% in the dry season, with a mean of 34% over the 11 storm events.
Green roofs are able to provide significant stormwater retention in the UK climate. The reduction in runoff during the storm events varied from 4.6-100%, with a mean reduction of 89%.
Different hydraulic behaviours between the growing medium and the drainage layer were observed. The hydrological response of the green roof model reproduces the discharge hydrograph profile, volume, and timing. Reduction in runoff during those storm events ranged from 29.86-99.95%, with mean of 68.25%. The overall reduction in runoff for the entire 6-month period was 88.86%.
The green roof helped in reducing peak discharge, and also delaying the hydrologic response. [87] 11 Sheffield, UK Monitoring 3 sq. meter The daily rainfall data for 29 months were considered from 1 January 2007-31 May 2009. The monthly average rainfall ranged from 55 mm to 91.9 mm in the period, with July being the driest and December the wettest.
The green roof reduced the runoff by 50.2%, calculated over the entire study period.
To understand the effect of the green roof over individual storm events, 22 significant rainfall events were identified in the study period, and an average of 30% reduction in runoff was noted over those events. The performance of the green roof in runoff reduction decreased with an increase in rainfall depth, with the amount of runoff reduction varying from 0-20 mm.
In winter, the evapotranspiration and retention values are reduced. High levels of runoff and low retention percentages can be expected when considering long return period events.
[77] Based on the monitoring of runoff from green roofs during those storm events, the runoff reduction ranged from 29.9-77.7%, while the SWMM simulation study of green roofs showed an reduction of runoff ranging from 54-99%.
The results of the green roof model show a positive effect on the reduction of volume, peak intensity values, and on the delay of the occurrence of runoff. [114] 14 Shropshire, UK Monitoring 1 sq. meter A total of 86 rainy days data between 9 December 2009-12 June 2010 were considered for the analysis. The rainfall ranged from 0.5-19.3 mm, with a total rainfall of 236 mm.
Two different green roofs were considered, one using sedum decks with 75 mm depth, and the other using meadow decks with 150 mm depth. The overall performance of those green roofs in runoff reduction over the 86 days was 40% for sedum and 48% for meadow decks, respectively.
The water-retention performance of green roofs varies seasonally, due to differences in rainfall patterns. The overall performance of intensive green roofs of 500 mm depth in runoff reduction was found to be around 50% in winter months and close to 100% during dry months, with an overall average of 65.7% over the 69 storm events.
The highest retention of rainfall was achieved in summer. The age of the green roof is not an issue and does not affect the effectiveness of green roofs. The design of a green roof, for example, the type of growth media, its depth, and the presence or absence of a drainage layer, plays a vital role in determining the performance. [140]  The overall reduction in runoff for all three green roofs was found to be 85% for small rainfall events, 48% for medium events, and 32% for large events.
Rainfall depth and event duration have the maximum influence on overall green roof rainfall retention. Rainfall intensity and its relation to the antecedent dry weather period (ADWP) has little influence on the aggregate performance of the green roof systems. The green roof retention and peak reduction generally decrease as rainfall volume increases.
[120]  The extensive green roof system was analyzed, and it was found that it achieved a 13.8-60.8% reduction in runoff for the total rainfall.
[108]) To understand green roof susceptibility, the initial conditions are significant in terms of the volumetric water content of the substrate. The use of green roofs at 5% coverage of all roofs reduces the peak flow by between 1.3 and 2%.Whereas, with a 100% greening scenario, the percentage of peak flow reduction equal to 30%, appears to be excellent. to be 20 min.
The reduction in runoff was found to be 48.3%, corresponding to rainfall with a 10-year return period, 70% for a 3-year return period rainfall, and 84% for rainfall of a 1-year return period.
There is a reduction of discharged rainwater from extensive green roofs. The thickness of the substrate enables the retention of the precipitation.
[144] Based on the SWMM simulation study, the decrease in runoff from a green roof of depth 12.7 mm was found to be 0-28%, depending on the rainfall intensity. Increases in rainfall intensity reduced the performance of the green roof in runoff reduction.
The study found that installing stormwater control measures in downstream catchments is more efficient for reducing peak flow and runoff volume, compared to installing stormwater controls in upstream catchments. [118]  The runoff reduction was more when the substrate level was deeper than 16 cm, which was combined with vegetation cover, or when the initial moisture content in the substrate was low or the rainfall depth was small. Assuming 20% of the roof area was converted to green roof, a runoff reduction of 1.4% was found in the catchment, while 100% conversion in green roof increased the performance to 14.8%.
The performance of green infrastructure effectiveness remains low under heavy rain events, unless a significantly large proportion of the area is greened, which could provide sufficient water storage capacities. [47] 39 Shanghai, China Monitoring 7.767 sq. meter Artificial rainfall was generated with 0.33 mm/min intensity. A total of 5, 10, 25, 50, 100, and 250 mm/day rainfall representing light, moderate, large, rainstorm, large rainstorm, and extraordinary large rainfall events were generated by spraying the water for a duration of 15, 30, 75, 150, 300, and 750 min, respectively.
The reduction in runoff from the green roof was highest for light rainfall, and gradually decreased as the rainfall depth increased.
The range of runoff reduction decreased from 83% to 15%.
The type of plant species significantly affected the hydrological performance and the rate of runoff reduction from extensive green roofs. [146] 40 Portland, USA Monitoring 1200 sq. meter Rainfall data at daily scale was collected from 1 February 2014-31 January 2015. The total rainfall was 807.6 mm, with 70% rainfall occurring in Nov-April.
Two green roofs were considered for the study with varying depths. The first one had a 75 mm depth and reduced runoff by the amount of 17.7-48.8%, while the second green roof had a 125 mm depth and the reduction of runoff was 20.2-96.6%.
The long-term vegetated systems on green roofs will tend to offer higher moisture removal due to evapotranspiration. Additionally, the large-pored substrate has a lower maximum moisture-holding capacity. [109] 41 Seoul, Korea Monitoring 663 sq. meter Hourly rainfall was measured from June-November 2017 and rainfall with more than 60 mm/h was considered in the analysis.
The effectiveness of the extensive green roof of 30 mm depth was found to reduce runoff by 10-60%, depending on the intensity and duration of the rainfall.
The rainwater is first stored on the green roof and then infiltrates to the ground surface. In this way, a peak flow delay is achieved during storm events. As a result, there is reduction in the occurrence of flash flooding in highly urbanized areas. [147] 42 Reading, UK Monitoring 0.24 sq. meter Artificial rainfall was generated using a nozzle where the rainfall intensity was 28 mm/h and the total rainfall was 9.3 mm.
The performance of the green roof in runoff reduction was measured for two types of vegetation: sedum and Stachys. Runoff reduction for Sedum was 17.1%, and for Stachys was 13.1%.
The evapotranspiration rates are high in 'warm' and 'hot' conditions. The contribution of the plant's transpiration component is important in 'cool ' and 'humid' conditions. [101]  Two green roofs, one considering Radix Ophiopogonis vegetation and another considering sedum was used for performance evaluation. Overall runoff reduction over the 66 rainfall events was found to be 21% for Radix Ophiopogonis and 31.3% for sedum vegetation.
The structural factors, the substrate material, and the depth were seen to be the most significant criteria for the green roof stormwater retention. [79]

44
Rio de Janeiro, Brazil Monitoring 0.5 sq. meter Artificial rainfall of 155 mm/h intensity was simulated for 7 min duration, with temperatures ranging from 29-34 • C.
The experiment was repeated with wet and dry soil, where the reduction in runoff was found to be 31.18-35.43% for wet soil, and 62.08-85.19% for dry soil.
The use of modular-green roof systems showed an important impact on postponing hydrographs peak-flows but, jointly with hydrograph abatement, there is rainwater retention in the green roof modular system. This would contribute to flood control, especially for densely occupied urban areas. [110] 45 Fisciano, Italy Monitoring 2.5 sq. meter The study considered 35 rainfall events with cumulative rainfall per event ranging from 0.5-122.17 mm, and with duration ranging from 35-4565 min.
The green roof performance in runoff reduction ranged from 4-100%, depending on the intensity, duration, and amount of rainfall.
Rainfall events depend on factors such as long duration, high cumulate depth, and rainfall intensity. A longer monitoring period would probably increase the probability of facing rainfall events with longer return periods. [113] 46 Arcavacata, Italy Modeling (HYDRUS-1D) 50 sq. meter A total of 62 rainfall events from October 2015-September 2016 were considered, with the total rainfall per event ranging from 2.0-120.1 mm, rainfall intensity ranging from 0.4-13.5 mm/h, and duration ranging from 12 min-61 h 31 min.
The simulation study indicated that the overall reduction in runoff varies from 22% for 60 mm soil depths to 24% for 150 mm soil depths. The percentage reduction of runoff per storm event was found to be between 42.9-80%.
The green roof structures showed a reduction in the volume of drained water. The green roof is composed of plants that have the capacity to retain water. The plants control the volume of runoff which is vital for reducing the volume of water sent to drainage systems. This helps in reducing the risk of flooding. [148]