key: cord-0986875-oz1dkdu7 authors: Sala-Comorera, Laura; Reynolds, Liam J.; Martin, Niamh A.; O'Sullivan, John J.; Meijer, Wim G.; Fletcher, Nicola F. title: Decay of infectious SARS-CoV-2 and surrogates in aquatic environments date: 2021-03-29 journal: Water Res DOI: 10.1016/j.watres.2021.117090 sha: 8383062b9dc3cb6474907a3783699c877086e6e2 doc_id: 986875 cord_uid: oz1dkdu7 The introduction of SARS-CoV-2 containing human stool and sewage into water bodies may raise public health concerns. However, assessment of public health risks by faecally contaminated water is limited by a lack of knowledge regarding the persistence of infectious SARS-CoV-2 in water. In the present study the decay rates of viable infectious SARS-CoV-2 and SARS-CoV-2 RNA were determined in river and seawater at 4 and 20°C. These decay rates were compared to S. typhimurium bacteriophage MS2 and pepper mild mottle virus (PMMoV). Persistence of viable SARS-CoV-2 was temperature dependent, remaining infectious for significantly longer periods of time in both freshwater and seawater at 4°C than at 20°C. T(90) for infectious SARS-CoV-2 in river water was 2.3 days and 3.8 days at 20°C and 4°C, respectively. The T(90) values were 1.1 days and 2.2 days in seawater at 20°C and 4°C, respectively. In contrast to the rapid inactivation of infectious SARS-CoV-2 in river and sea water, viral RNA was relatively stable. The RNA decay rates were increased in non-sterilised river and seawater, presumably due to the presence of microbiota. The decay rates of infectious MS2, MS2 RNA and PMMoV RNA differed significantly from the decay rate of SARS-CoV-2 RNA, suggesting that their use as surrogate markers for the persistence of SARS-CoV-2 in the environment is limited. Sewage may contain a variety of human viruses belonging to at least 41 viral families, including Adenoviridae, Polyomaviridae and Papillomaviridae, which may cause gastrointestinal and respiratory disease among other pathologies (Cantalupo et al., 2011; Fernandez-Cassi et al., 2018; Martínez-Puchol et al., 2020) . Pollution of coastal waters and rivers by sewage or by faecal contamination from non-point animal sources therefore poses a serious public health risk due to ingestion of contaminated water during recreational activities or contamination for of shellfish for human consumption (Ballesté et al., 2020; Bellou et al., 2013; Soller et al., 2010; Yamahara et al., 2007) . Human faecal contamination originating from sewerage misconnections, combined sewage overflows or discharges from wastewater treatment plants may occur frequently in urban areas (Ahmed et al., 2019; Kay et al., 2008; Panasiuk et al., 2015; Reynolds et al., 2020) . SARS-CoV-2, a positive sense single stranded RNA coronavirus, causes respiratory disease that varies in severity and may ultimately prove to be fatal, although the majority of infected individuals exhibit mild symptoms or are asymptomatic (Coronaviridae Study Group of the International Committee on Taxonomy of Viruses., 2020; C. . To date, there are over 119 million confirmed cases globally, resulting in 2.6 million deaths (Who, 2020) . Although SARS-CoV-2 initially causes infection of the upper respiratory tract, it subsequently disseminates to other parts of the body. Recent studies have shown that 27 to 89% of infected individuals shed SARS-CoV-2 RNA in their stool, with 10 7 RNA/g faeces one week after symptoms develop, dropping to 10 3 g/faeces after three weeks (Wölfel et al., 2020; Zhang et al., 2020) . Viral RNA remains present in faeces after respiratory tract samples are PCR negative, suggesting gastrointestinal replication (Chen et al., 2020; Lin et al., 2020; Y. Wu et al., 2020) . Viable virus particles have been detected in faeces in a recent study the first week after symptoms develop (W. . The presence of SARS-CoV-2 RNA in stool samples of both symptomatic and asymptomatic infected individuals implies that wastewater surveillance is a viable means to monitor the circulation of SARS-CoV-2 in the population (Bivins et al., 2020b; . Indeed, following initial reports of detection of viral RNA in the influent of wastewater treatment plants, it now has been firmly established that the levels of SARS-CoV-2 RNA are a valuable and robust indicator of the prevalence of the virus in the community Medema et al., 2020; Patel et al., 2020; Randazzo et al., 2020) . SARS-CoV-2 RNA is relatively stable in sewage and non-chlorinated drinking water . A subsequent study showed that viable SARS-CoV-2 decays in dechlorinated tap water and in sewage with T 90 ranging between 1.6 and 2.1 days (Bivins et al., 2020a) . However, the persistence of the infectious SARS-CoV-2 particle in the natural aquatic environment remains unknown. It therefore not clear to what extent environmental contamination with untreated human sewage poses a risk to public health due to transmission of SARS-CoV-2 to individuals coming into contact with sewage contaminated water (La Rosa et al., 2020) . Pepper mild mottle virus (PMMoV) has been recently proposed as human pollution indicator since it is the most abundant RNA virus in human faeces and is present in high relative concentrations in sewage (Kitajima et al., 2018) . Furthermore, it has been evaluated as a virus process indicator for drinking water and sewage treatments (Symonds et al., 2019) . F-specific coliphages have been widely used as an indicator of water quality, as well as an indicator for the of enteric viruses in water disinfection treatments (Jofre et al., 2016; Lucena and Jofre, 2014; McMinn et al., 2017) . Bacteriophages have been included in water quality guidelines and rapid tests have been developed to detect infectious particles (Blanch et al., 2020) . PMMoV and S. typhimurium bacteriophage MS2 (F-specific phage) are nonenveloped single-strand RNA viruses (Jofre et al., 2016; Rosario et al., 2009) but are both abundant in human faeces and used as a process control. This study evaluates their persistence and their usefulness in aquatic environments as compared to infectious SARS-CoV-2. In this study we determined the decay rates of viable infectious SARS-CoV-2 and SARS-CoV-2 RNA in river and seawater. These decay rates are compared to S. typhimurium bacteriophage MS2 and PMMoV showing that the latter behave differently than SARS-CoV-2 and may therefore not be potential surrogates. We show that the presence of microbiota increases the decay rates of SARS-CoV-2 RNA at 20 o C. A clinical strain of SARS-CoV-2 (nCoV-Italy-INMI1), obtained from the European Virus Archive Global (EVAg), was propagated in VeroE6 cells (ATCC CRL-1586). A master stock was passaged to P2 in VeroE6 cells at a multiplicity of infection (MOI) of 0.01 in Dulbecco's Modified Eagle's Medium (DMEM) supplemented with 2% heat-inactivated foetal bovine serum (FBS), following two freeze-thaw cycles at -80°C. Virus stocks were titred on VeroE6 cells and infectivity quantified by TCID50 assay, in which cytopathic effect (CPE) was scored 48 hours post-infection and calculated according to the method of Reed and Muench (Reed and Muench, 1938) . Pepper mild mottle virus was purchased from the DSMZ under catalogue number PV-0093 and was resuspended according to the strain collection protocol. A high titre stock of MS2 bacteriophages (ATCC 15597-B1) was obtained using Salmonella typhimurium strain WG49 (NCTC 12484). Phage lysates were prepared by plating plaquepurified phage according to (ISO, 1995) . The plaques were resuspended in tryptone-yeast extract-glucose (TYGB) medium broth, centrifuged at 3000 g for 10 min and the phage lysate was filtered through a 0.22 μm filter (Dennehy and Turner, 2004) . MS2 bacteriophage and S. typhimurium WG49 were kindly provided by Dr. Anicet Blanch, University of Barcelona. Microcosm experiments were carried out in river water and seawater obtained from the Grand Canal, Dublin and from Dublin Bay Water samples (150 ml), respectively, were filter sterilized (0.22 μm) and spiked with infectious SARS-CoV-2 (final concentration 3.16 x 10 4 TCID50/ml), pepper mild mottle virus (final concentration 3.2 x 10 10 GC/ml) and MS2 (final concentration 6.5 x 10 6 pfu/ml). Spiked water (500 μl) was aliquoted into sterile 2 ml screw cap tubes. Microcosms were maintained in duplicate in the dark at either 4°C±2°C or at 20°C±2°C under BSL-3 laboratory conditions. Samples were taken after the microcosms were prepared, to determine the starting concentration, and subsequently at 4 and 8 hours. For the first week, samples were taken daily and after this point sampling took place every two days until day 20. Microcosm samples were stored at -80°C prior to analysis. In parallel, microcosms with non-filter sterilised fresh and sea water were established in duplicate to assess the effect of filtration via the difference in MS2 persistence under BSL-2 conditions. Water samples (64 ml) were spiked with heat-inactivated SARS-CoV-2 (final concentration 8.1 x 10 6 GC/ml), pepper mild mottle virus (final concentration 3.2 x 10 10 GC/ml) and MS2 (final concentration 6.5 x 10 7 pfu/ml). SARS-CoV-2 was heat inactivated at 60°C for 30 minutes prior to spiking. To ensure that there was no difference in RNA quality and stability following heat inactivation, we compared SARS-CoV-2 RNA from matched non-heat inactivated and heat inactivated virus, and did not observe any difference between these in RT-qPCR assays as was previously reported (T. ). The spiked water samples were subsequently aliquoted (1 ml) into sterile 2 ml screw cap tubes. Microcosms were maintained at 4°C±2°C and at 20°C±2°C in the dark. Microcosms were sampled immediately and then at day 1, 2, 3, 6, 8, 14 and 20. Only time points on day 0, 3, 6, 8, 14 and 20 were selected for RNA viral decay analysis. Samples were stored at -80°C until further analysis. At each time point, water samples were titred on VeroE6 cells and infectious titre determined by TCID50 assay. Cytopathic effect (CPE) was scored 48 hours post-infection and TCID50 calculated as described (Reed and Muench, 1938) . Infectious MS2 was enumerated using the double agar layer plaque assay method adapted from EPA Method 1602 (USEPA, 2001) . Briefly, 100 μl microcosm subsample was mixed with 1 ml of Escherichia coli strain HS culture and 2.5 ml of 0.7% (w/v) tryptic soy agar (TSA) before pouring onto 1.5% TSA plates. Plates were incubated at 37°C±2°C for 16-24 hours. The bacterial host strain Escherichia coli HS was prepared according to the manufacturer's instructions (Bluephage S.L., Spain). A positive control for the detection of Fspecific coliphages (Bluephage S.L., Spain) was included in each assay. Viral RNA was extracted from 140 µl of each microcosm subsample using the QIAamp Viral RNA Mini Kit (Qiagen, Germany). In addition, RNA extraction controls (positive: SARS-CoV-2, negative: PCR grade water) were added. RT-qPCR assays were performed within 24 hours of RNA extraction. RT-qPCR assays were performed on the Roche Lightcycler 96 platform (Roche Diagnostics, Germany) in a total volume of 20 µl, containing 5 µl of template (1 µl for pepper mild mottle virus assays) using LightCycler Multiplex RNA Virus Master (Roche Diagnostics, Germany). Primer sequences and concentrations and thermal cycling conditions for each gene are given in Table 1. MS2 and pepper mild mottle virus were quantified using 10-fold dilutions of gBlock Gene Fragments (Integrated DNA Technologies, USA). An N1 amplicon was used as standard for SARS-CoV-2 quantification. The 2019-nCoV_N_Positive Control (Integrated DNA Technologies, USA) was amplified by end-point PCR following the Centers for Disease Control and Prevention protocol (Centers for Disease Control and Prevention, 2020). The amplicon was purified using QIAquick PCR purification kit (Qiagen, Germany) and quantified with Qubit (Invitrogen, USA) All samples, negative controls and extractions blanks were analyzed in duplicate and four triplicate quantification standards were included in each 96-well plate. Results were expressed in GC/ml. The efficiency of each reaction was determined using the E = 10 (1/slope) -1 equation (Rutledge 2003) . The limit of detection was determined as the lowest concentration of DNA detected in 95% or more of replicates and the limit of quantification was determined as the lowest concentration of DNA quantified within 0.5 standard deviations of the log 10 concentration (Table 1) (Blanchard et al., 2012; Rutledge and Stewart, 2008) . The decay rates were determined with a first order decay model (Chick, 1908) and a biphasic decay model. The first-order decay rate constant was calculated using the following formulas: Where N t and N 0 are the concentrations of TCID50, pfu or GC in the microcosm at time t and time 0 and k is the decay rate. The biphasic decay model was modeled using the following formula: N t = N f0 e -kft + Ns 0 e -kst Where N t is the concentration at time t, N f0 is the initial concentration of the fast decay period and Ns 0 , the initial concentration of the slow decay period. k f and k s are the fast and slow decay rates. The fit of the model was evaluated by r 2 , RMSE and Wald-Wolfowitz runs test. The models were compared with the extra sum-of-squares F test, the best fitting model was chosen. Significant differences were determined at an alpha level of 0.05. The days needed to achieve a 90% reduction in initial concentration was calculated as follows: T 90 = -ln(0.1)/k Prism8 (GraphPad Software, USA) was used to perform the statistical analysis and to prepare data plots. To determine the persistence of SARS-CoV-2 in the environment and to assess public health risks of sewage spills it is critically important to know the decay rates of infectious viral particles under environmental conditions. We therefore set up microcosm experiments in which filter-sterilised river water and seawater was spiked with infectious SARS-CoV-2 and incubated at 4 and 20 o C. In addition, bacteriophage MS2 and PMMoV were added at the start of the experiment to evaluate their usefulness as a surrogate for SARS-CoV-2. Following inoculation at a titre of 3.16 x10 4 TCID 50 /ml, infectious SARS-CoV-2 titres remained stable for 24 hours in river water at both 4 and 20 o C and in seawater at 4 o C. In contrast, SARS-CoV-2 infectivity in seawater at 20 o C started to decline after 4 hours (Fig 1) . Infectious SARS-CoV-2 was more stable in river water than in seawater, and more stable at 4 than at 20 o C (Fig. 2) . The first-order decay rates ranged from 0.61 to 2.02 day -1 (Table 2) . Interestingly, the decay rates for infectious SARS-CoV-2 in seawater at both temperatures were higher than those for river water at the either temperature. The estimated decay rate in river water at 4°C was 0.61 day -1 (T 90 = 3.8 days) and 1.01 day -1 (T 90 = 2.3 days) at 20°C, whereas in seawater the decay rates were 1.07 day -1 (T 90 = 2.2 days) and 2.02 day -1 (T 90 = 1.1 days) (Table 3 ). In contrast to the rapid inactivation of infectious SARS-CoV-2 in river and sea water, the N1 RNA marker was relatively stable, showing no decline in river water for the duration (20 days) of the experiment at either 4 or 20°C (Fig 4a) . At 4 o C in seawater, a decline was observed, however, it did not achieve 1 log 10 reduction. Although the levels of the N1 marker did decline in sea water at 20°C, the decay rate (0.14 day -1 , T 90 =16.6 days) was lower than those of the infectious particle (Fig 4a, Table 4 ). Bacteriophages or viruses abundant in human faeces, e.g., MS2 or PMMoV are used to monitor the water quality and may be used as surrogates to evaluate the environmental persistence of human pathogenic viruses, which is why these two potential surrogates were included in SARS-CoV-2 microcosms using filter sterilised sea and river water. Water was filter sterilised to avoid any risk of bacterial contamination or non-specific cytopathic effects in the VeroE6 cells used in the infectivity assays of SARS-CoV-2. Viable MS2 particles were most stable at 4 o C in river and sea water (Fig 3a) . The highest inactivation rate was observed in river water at 20 o C (T 90 =3.2 day -1 ). The T 90 values in seawater were 10.2 and 7.8 days at 4 and 20 o C, respectively (Table 2, 3) . Under all microcosm conditions tested here, viable MS2 particles were more stable than infectious SARS-2-CoV-2 (Fig 2, 3a, Table 2 , 3). The largest difference in decay rates was observed in river water at 4 o C, where the decay rate for viable SARS-CoV-2 was 0.61 day -1 , and MS2 particles did not exceed 1 log 10 reduction during the course of the experiment (20 days). The decay rates of infectious SARS-CoV-2 and MS2 were most similar in river water microcosms at 20 o C, with only a 1.4-fold difference between SARS-CoV-2 and MS2 (Table 2 ). In sharp contrast, SARS-CoV-2 RNA was more stable than MS2 RNA under all conditions tested. SARS-CoV-2 and MS2 RNA decay rates were determined with a first order decay model so that these could be compared to the decay rates of the infectious particle. The difference was most notable in river water in which SARS-CoV-2 RNA, but not MS2 RNA, was completely stable for the duration (20 days) of the experiment at 20 o C (Fig 4a,c , Table 4 ). The differences were less pronounced in sea water, where the decay rate for MS-2 RNA was 1.2-fold larger than for SARS-CoV-2 RNA at 20 o C ( Table 4 ). The PMMoV RNA decay profile was similar to that of SARS-CoV-2 (Fig 4a,e) . In both cases viral RNA was stable in river water at 4 and 20 o C for the duration (20 days) of the experiment. Both SARS-CoV-2 RNA and PMMoV RNA levels decayed slightly in seawater at both temperatures, however, they did not exceed 1 log 10 reduction for the duration of the experiment (20 days). We studied the decay of infectious SARS-CoV-2 in filter sterilised sea and river water to avoid any risk of bacterial contamination or non-specific cytopathic effects in the VeroE6 cells used in the infectivity assays. However, this removes the microbial microbiota from the microcosm experiment. We therefore repeated the microcosm experiments using nonsterilised river and sea water to examine the impact of the microbiota on viral and phage decay. The effect of non-filtered sea and river water was pronounced for infectious MS2. The decay rates of infectious MS2 in non-filter sterilised water were 1.4 to 4.1-fold higher than in filter sterilised water ( Table 2 ). The decay rates of infectious MS2 in non-filter sterilised river (1.17 day -1 ,T 90 =2.0 days) and non-filter sterilised seawater (1.23 day -1 , T 90 =1.9 days) were similar at 20 o C. At 4 o C, MS2 T 90 was 6.7 days (0.34 day -1 ) in seawater, in contrast, MS2 in non-filter sterilised river water was stable for the duration of the experiment (20 days Similar observations were made for SARS-CoV-2, MS2 and PMMoV (river water 20 o C) RNA where greater decay rates were observed in non-filter sterilised than in filter sterilised water (Table 4) . SARS-CoV-2 RNA was more stable in non-filter sterilised water at 4°C, whereas rapid inactivation occurred at 20 o C (Table 4, 5). As was the case for non-filter sterilised water, SARS-CoV-2 RNA is more stable in sea water (T 90 = 8.9 days) than in river water (T 90 = 5.2 days). Similar results were obtained for MS2, while PMMoV RNA (at 4 o C and seawater at 20 o C) was stable. Only between SARS-CoV-2 RNA and MS2 RNA in nonfilter sterilised freshwater at 20°C were decay rates similar. T 90 values were 5.2 and 5.0 days for SARS-CoV-2 RNA and MS2 RNA, respectively. In this paper we show that although SARS-CoV-2 RNA is relatively stable in both sea and river water, infectious SARS-CoV-2 decays rapidly in both water matrices, with faster decay rates in sea than in river water, and at 20 o C than at 4 o C. This is in agreement with other studies investigating persistence of coronaviruses in water matrices; SARS-CoV-1 infectivity has been reported to persist for 3-5 days in river water (Duan et al., 2003; Wang et al., 2005) , and SARS-CoV-2 infectivity in dechlorinated tap water had a T 90 of 1.7 days (Bivins et al., 2020a) . In contrast, mouse hepatitis virus, a β-coronavirus, persisted for more than 14 days in lake water incubated at 4°C and for 10 days at 25°C (Casanova et al., 2009; Sizun et al., 2000) . SARS-CoV-2 and other coronaviruses are enveloped viruses, and are unable to maintain infectivity in the environment including in water matrices as long as non-enveloped viruses such as norovirus, an enteric virus that is also shed in faeces and can persist for >61 days in water at room temperature (Seitz et al., 2011) . Salinity has previously been demonstrated to have a negative effect on influenza virus stability, which is an enveloped RNA virus (Dublineau et al., 2011) , in contrast to non-enveloped enteric viruses which maintain infectivity in salinated water (Lo et al., 1976) . Shedding of infectious SARS-CoV-2 in the stool and urine of infected COVID-19 patients is extremely low or undetectable, despite detection of viral RNA in these samples and in sewage Bivins et al., 2020b; Wölfel et al., 2020) . This, together with the rapid inactivation of SARS-CoV-2 in both river and seawater, strongly indicates that the likelihood of viral transmission through contact with sewage contaminated waters is low. In contrast to SARS-CoV-2, MS2 phage infectivity persisted for longer periods of time in all matrices and at both temperatures evaluated. Our data are similar to previous reports investigating MS2 infectivity in river water and seawater (Governal and Gerba, 1997; Muniesa et al., 2009; Ogorzaly et al., 2010) , and the decay rates for SARS-CoV-2 and MS2 were significantly different in all conditions tested. This indicates that MS2 does not represent a relevant surrogate for persistence of coronaviruses and other enveloped viruses in water. Interestingly, MS2 infectivity decayed more rapidly in non-filter sterilised than in filter sterilised water. This has been reported previously, where the presence of a microbial population in water has a negative effect on virus survival (Rzezutka and Cook, 2004; Yang and Griffiths, 2013) and filtration of lake water significantly prolonged infectivity of duck plague virus (Wolf and Burke, 1982) . This may be due to the production of enzymes such as lipases and proteases as well as predation by for example protozoa. Heat treatment of water resulted in similar removal of antiviral factors (Hawley and Garver, 2008; Yang and Griffiths, 2013) . It therefore seems likely that infectious SARS-CoV-2 decays more rapidly in the presence of microbiota than reported here for filter sterilised water. In contrast to infectious SARS-CoV-2 and MS2, viral RNA from SARS-CoV-2, MS2 and PMMoV remained detectable for the duration of the experiment (20 days). In non-filter sterilised water, MS2 and SARS-CoV-2 RNA decayed at a faster rate than in filter sterilised water. This was particularly evident in seawater and river water incubated at room temperature. Similar to our observations that MS2 infectivity decreased at a faster rate in non-sterile compared to sterile water, indigenous microbial populations in water have been shown to have a negative effect on viral RNA stability (Rzezutka and Cook, 2004) . The persistence of viral RNA in water in the present study supports the use of nucleic acid detection methods, including PCR, in the detection and quantification of SARS-CoV-2 RNA in environmental water samples. PMMoV RNA remained stable for the 20 day period measured in the current study, and MS2 RNA decay rates differed significantly from those of SARS-CoV-2 RNA, with the exception of non-filtered water at 20°C. PMMoV is stable and persist longer times in aquatic environments, in previous studies, no significant decline has been observed, thus PMMoV could be considered as a conservative marker with respect to virus reduction (Kitajima et al., 2018; Rachmadi et al., 2016) . In sewage, a recent study demonstrated that mouse hepatitis virus (MHV) RNA decay rates were similar to that of SARS-CoV-2, indicating that this β-coronavirus may represent a suitable surrogate for studies investigating the persistence of SARS-CoV-2 RNA in sewage and other water matrices . In contrast, MS2 and PMMoV RNA persistence did not correlate with SARS-CoV-2 RNA in the present study. We demonstrated that infectivity of SARS-CoV-2 decreases rapidly in filter-sterilised river and seawater water, particularly at higher temperatures. The data therefore suggest that river water and seawater contaminated with sewage containing faecal matter from SARS-CoV-2 infected individuals is unlikely to contain high levels of infectious virus due to the rapid inactivation of the virus in these matrices. Infectious MS2 persists longer than infectious SARS-CoV-2 in both river and seawater and is therefore not an appropriate surrogate for the persistence of infectious SARS-CoV-2 under these conditions. The decay rates of infectious SARS-CoV-2 in river and seawater at 4 and 20 o C far exceeds those of SARS-CoV-2 RNA, even when the decay rates of SARS-CoV-2 RNA were determined in the presence of microbiota. Although measurement of SARS-CoV-2 RNA therefore demonstrates that sea or river water has been contaminated with the virus at some point in time in the past, it is not a valid methodology to assess the presence of infectious SARS-CoV-2 in the environment. The decay rates of SARS-CoV-2 RNA, MS2 RNA and PMMoV RNA differed, indicating that their use as surrogates for SARS-CoV-2 is limited. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Table 2 . Inactivation parameters of infectious SARS-CoV-2 and MS2 in river water and seawater, first-order decay rates were estimated by linear regression. 95% confidence interval (CI) have been included. ns: non significant deviation from the model. sv: significant variation. s: stable for the duration (20 days) of the experiment. 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(20-CoV-0159). 10.2 (6.4-25.3) 7.8 (4.7-23.5) MS2 non-filter sterilised water s 2.0 (1.9-2.1) 6.7 (4.9-10.7)1.9 (1.3-3.1)