Material
found in typical wastewater samples, behaved comparably to samples collected directly from the treatment 238
plant only 12 hours earlier. 239
2.4. SARS-CoV-2, PMMoV and total RNA decay experiments simulating bed and near-240
bed transport conditions at three distinct temperatures 241
A series of SARS-CoV-2, PMMoV and total RNA decay experiments were designed to simulate bed and near-242
bed transport conditions in conventional sewersheds, including sedimentation time representative of wintertime flow 243
conditions in northern and cold climate countries , where precipitation and groundwater infiltration effects on the 244
sewershed are significantly reduced. 48 grams of stool were dissolved in 7 liters of post -grit wastewater, achieving a 245
concentration of approximately 6.86 g/L, and were carefully agitated at 4°C until the stool was fully mixed into the 246
wastewater. This slightly lower stool concentration was due to logistical constraints in measuring and dissolving the 247
stool such as residues adhering to the plastic weighing boats. The stool-wastewater mix was then transferred to forty-248
five (45) individual 50 mL conical centrifuge tubes . Three individual temperature-controlled experimental chambers 249
were set to 4° C, 12° C and 20 °C, respectively, and were used to house the 50 mL conical centrifuge tubes, which 250
were not agitated, simulating quiescent sewershed conditions and sedentary bed and near -bed transport of 251
wastewater-associated solids and fecal material. Five individual 50 mL conical centrifuge tubes containing stool -252
wastewater mixtures were harvested at periodic intervals between 0 and 6 0 days from each temperature -controlled 253
experimental chamber. Extended sampling for simulating bed and near-bed transport conditions was necessary due to 254
these conditions persisting for months. Indeed, sediment layers can remain for months in the sewer system until eroded 255
by environmental factors (Lange and Wichern, 2013) . In colder climates like Ottawa, precipitation solidifies as snow 256
and ice, reducing flow and erosion until warmer months, when snowmelt and rainfall initiate erosion. Samples were 257
extracted immediately after sampling, extracted RNA was never frozen and instead maintained at 4° C until, with RT-258
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10
qPCR analysis being performed within 48 hours of collection of the sample . Control experiments with wastewater 259
samples that did not contain spiked stool were conducted under identical conditions and are shown in Supplemental 260
Figure S2. This approach was to verify that the spiked material from infected patients, although endogenously similar 261
to the material found in typical wastewater samples, behaved comparably to samples collected directly from the 262
treatment plant only 12 hours earlier. 263
2.5. Sample concentration and nucleic acid extraction 264
Representative 40 mL samples of well -homogenized stool -wastewater mix tures were collected from the 265
suspended and bed and near -bed transport temperature-controlled experimental chambers and were immediately 266
processed. Samples were concentrated and SARS-CoV-2, PMMoV, and total RNA were extracted as described by 267
D’Aoust et al. (2021b) . Briefly, s amples were centrifuged at 12,000 x g for 45 minutes, and the supernatant was 268
discarded. Samples were then centrifuged once again at 12,000 x g for an additional 5 minutes, and the resulting 269
supernatant was again discarded. RNA was extracted from the resulting pellet using Qiagen’s RNeasy 270
PowerMicrobiome Kit (Qiagen, Germantown, MD), with the following modifications to the manufacturer’s procedures: 271
i) 250 mg of the resulting solids pellet was extracted instead of a 200 µL liquid sample, and ii) the optional phenol -272
chloroform solution was substituted by Trizol LS reagent (ThermoFisher, ON, Canada). Samples were then eluted in 273
100 µL of RNAse/DNAse-free water. 274
2.6. RT-qPCR SARS-CoV-2 and PMMoV analyses 275
The SARS-CoV-2 viral signal was quantified using a singleplex one-step, RT-qPCR targeting the N1 and N2 276
genomic regions. The PMMoV viral signal was also measured using a singleplex one -step with RT-qPCR targeting a 277
region in the replication -associated protein portion of the genome (Haramoto et al., 2013) . Each PCR reaction was 278
composed of 1.5 µL of RNA template, forward and reverse primers (final concentration of 500 nM each), probe (final 279
concentration of 250 nM) 2.5 µL of 4x TaqMan ® Fast Virus 1-step Mastermix (ThermoFisher, ON, Canada), in a total 280
reaction volume of 10 µL. All primer sequences used in this study are shown in Supplemental Table S2. All samples 281
were run in technical triplicates with non -template controls and 5 -point standard curves prepared with the Exact 282
Diagnostic (EDX) COV019 SARS -CoV-2 RNA standard (Exact Diagnostics, TX, USA). PCR cycling conditions were 283
identical as those described previously (D’Aoust et al., 2021b). The assay’s limit of detection (ALOD) and quantification 284
(ALOQ) for SARS-CoV-2’s N1 region were of approximately 2 copies/reaction and 3.2 copies for reaction, respectively. 285
For the N2 region, they were of approximately 2 copies/reaction and 8.1 copies/reaction, respectively. All cycling 286
conditions used in this study are shown in Supplemental Table S3. 287
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2.7. Total RNA analysis 288
The total RNA concentration of each sample was measured using an Agilent 2100 Bioanalyzer. 2 µL of 289
extracted RNA elution was loaded on an RNA 6000 Pico Chip. Further data analysis and concentration determinations 290
were performed using Agilent’s 2100 Expert software (v. B.02.10.SI764). 291
2.8. Sanger sequencing of amplicons 292
Sanger sequencing was conducted on time point day 21, day 45 and day 60, to ensure that the analyses did 293
not produce false positives. The specificity of the amplicons resulting from RT-qPCR analyses generated for the various 294
targets of this study was evaluated via Sanger sequencing. First, a touchdown PCR (TD-PCR) was performed using 295
Q5® High-Fidelity DNA Polymerase with 1 µL of RT-qPCR amplicons as the starting template. The initial touchdown 296
was performed as follows: [98 °C (30 seconds) + 64 °C → 55 °C, drop of 1 °C/cycle, + 72 °C (30 seconds)] x 10 cycles. 297
Amplification was then performed as follows: [98 °C (30 seconds) + 64 °C → 55 °C, drop of 0.4 °C/cycle, + 72 °C (30 298
seconds)] x 25 cycles. The TD-PCR products were then run on a 3% agarose gel at 100V to separate the amplicons. 299
The amplicon band observed at the appropriate location was then cut and gel extracted using Monarch® DNA Gel 300
Extraction Kit (New England Biolabs, MA, USA) as per the manufacturer’s instructions. After obtaining purified DNA, a 301
novel primer extension strategy for one -step PCR amplification was performed using the Q5 ® High-Fidelity DNA 302
Polymerase. In brief, 1 ng of DNA was used to extend the N1 and N2 amplicon using the oligo adapters (Supplemental 303
Table S2) with partial complementarity to the targeted amplicons. An extension PCR amplification was then performed 304
as follows: 98 °C (30 seconds) + [98 °C (10 seconds) + 50 °C (30 seconds) + 72 °C (30 seconds) x 30 cycles, + 72 °C 305
(2 minutes). The extension-PCR amplified product is then purified using QIAquick® PCR Purification Kit (Qiagen, MD, 306
USA) following the manufacturer’s instructions. The final amplicon product was then sequenced by Sanger Sequencing 307
at the Ottawa Hospital’s Research Institute (OHRI) StemCore Sequencing Facility using an ABI Prism 3730 DNA 308
Sequencer (Applied Biosystems, MA, USA). The sequences were compiled and edited using BioEdit (ver. 7.2) (Hall, 309
1999) and sequence alignment was done by Clustal Omega (Madeira et al., 2022) . Each PCR reaction had a total 310
volume of 25 µL and was composed of the amplicons’ regular reverse primers (500 nM), A target -specific amplicon-311
seq-Stuffer forward primer (50 nM), Stuffer -1 forward primer (50 nM), Stuffer -2 forward primer (500 nM), dNTP (200 312
µM), and 1X of the 5X Q5 reaction buffer and Q5 high fidelity DNA polymerase (0.02U/µL). All primer sequences used 313
in this study are shown in Supplemental Table S2. 314
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2.9. Volume, PMMoV and total RNA normalization 315
Measurements of SARS -CoV-2 in this study were normalized using volume, PMMoV, and total RNA to 316
investigate potential degradation mitigation techniques. Volume normalization was employed instead of flow 317
normalization to accurately reflect the conditions of this controlled experiment, where sampling was conducted from a 318
batch reactor rather than a continuous flow system. As such, volume normalization serves as an extrapolation of flow 319
normalization typically used in wastewater treatment plants with variable daily flow rates. Additionally, since SARS -320
CoV-2 and PMMoV are known to be prevalent in the solids fraction (D’Aoust et al., 2021a) , volume normalization in 321
this study effectively simulates the real -world scenario where, despite consistent sampling volumes, the amount of 322
solids and consequently, the viral signal can vary, even when flow normalization is applied. 323
2.10. Statistical analyses 324
First order decay rate 325
The first order decay rate model was applied to the SARS-CoV-2, PMMoV and total RNA targets under 326
dynamic suspended transport conditions and bed and near-bed transports at temperatures of 4° C, 12° C and 20 °C. 327
The first order decay rate constant (k) was calculated as shown in equation 1 (Chick, 1908) . Here, the term [𝐴]𝑡 328
represents the concentration of the target at time t, while [𝐴]0 is the initial concentration at time zero. The rate was 329
obtained by calculating the slope of the natural logarithm (Ln) of the concentration of the target’s (A) signal versus time 330
(t). The slope was calculated using GraphPad Prism (version 9.3.1). 331
ln[𝐴]𝑡 = −𝑘𝑡+ 𝑙𝑛[𝐴]0 (Eq 1)
Significance of first order decay rate constant 332
To assess whether the SARS-CoV-2, PMMoV and total RNA targets exhibited decay, a two-tailed t-test with 333
a significance level (α) of 0.05, was used to determine the significance of the first order decay constant under dynamic 334
suspended transport conditions and bed and near-bed transport conditions at temperatures of 4° C, 12° C, and 20 °C, 335
with the null hypothesis that the decay rate is zero. These tests were performed on k values obtained from the first 336
order decay model for all targets at each temperature to determine if each k was significantly different from zero. 337
Comparison of first order decay rate constant 338
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Differences in decay rate constants between targets at various temperatures were assessed using a two-tailed 339
t-test with a significance level (α) of 0.05, with the null hypothesis that the decay rates of the targets were not significantly 340
different. Specifically, three separate t-tests were conducted for each comparison, always comparing two groups at a 341
time: SARS-CoV-2 vs. PMMoV, SARS-CoV-2 vs. total RNA, and PMMoV vs. total RNA. Additionally, three independent 342
t-tests were performed to compare the normalized signals (volume -normalized vs. PMMoV -normalized, volume -343
normalized vs. total RNA-normalized, and PMMoV-normalized vs. total RNA-normalized) at temperatures of 4°C, 12°C, 344
and 20°C. Finally, three independent t -tests were conducted to compare decay rates between different temperature 345
conditions (4°C vs. 12°C, 4°C vs. 20°C, and 12°C vs. 20°C). All t-tests were performed using GraphPad Prism (version 346
9.3.1). 347
First order decay rate time needed to achieve 90% reduction (T90) 348
T90, the time required for 90% of the starting target to decay, was calculated for the first order decay model as 349
shown in equation 2. All T 90 values were utilized as a comparative measure for analyzing the SARS-CoV-2, PMMoV 350
and total RNA decay rates at temperatures of 4° C, 12° C and 20 °C and for comparisons with other studies. 351
𝑇90 = − ln(0.1)
𝑘 (Eq 2)
352
Model fit 353
To assess model fit, the coefficient of determination (R2) was calculated for both the first order and two-phase 354
models for all targets and temperatures of the study using GraphPad Prism (version 9.3.1). The R 2 was used to 355
calculate the proportion of the variation in the dependent variable predic table from the variation in the independent 356
variable (Gage, 1988). 357
358
Two-phase decay rate 359
The two-phase decay rate model was applied to the bed and near-bed transport condition data sets to achieve 360
better model fit compared to the first phase decay model . The two -phase decay constants (k fast and k slow) were 361
calculated using a two-phase decay model as defined in equations 3 to 3.2 using GraphPad Prism (version 9.3.1). This 362
composite exponential decay model defines the overall decay rate as the sum of a simultaneous fast and a slow 363
exponential decay as shown in equation 3. The “Percent Fast ” parameter defines the proportion of the initial 364
concentration [𝐴]0 subjected to the fast decay process, characterized by the rate constant kfast. Simultaneously, the 365
remaining fraction (100 - Percent Fast), undergoes decays at a slower rate kslow. The equations 3.1 and 3.2 define the 366
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initial concentrations for the fast and slow decay phases, respectively, which are then incorporated into the two-phase 367
decay model. GraphPad Prism offers the option to include a non-zero plateau, representing the terminal concentration 368
at which the decay stabilizes. Based on the nature of our study and the expectation that the concentration diminishes 369
entirely over time, we set the plateau to zero. 370
[𝐴]𝑡 = [𝐴]0 𝑓𝑎𝑠𝑡 ∗ 𝑒−𝑘𝑓𝑎𝑠𝑡∗𝑡 + [𝐴]0 𝑠𝑙𝑜𝑤 ∗ 𝑒−𝑘𝑠𝑙𝑜𝑤∗𝑡 (Eq 3)
[𝐴]0 𝑓𝑎𝑠𝑡 = [𝐴]0 ∗ 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝐹𝑎𝑠𝑡∗ 0.1
[𝐴]0 𝑠𝑙𝑜𝑤 = [𝐴]0 ∗ (100 − 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝐹𝑎𝑠𝑡) ∗ 0.1
(Eq 3.1)
(Eq 3.2)
371
Two-phase decay rate time needed to achieve 90% reduction (T90) 372
T90, the time required for 90% of the starting target to decay, was calculated for the two-phase decay model 373
as shown in equation 4. T90 was calculated for two-phase decay model by solving equation 4 for t using a bisection 374
numerical method . This calculation was perform ed using the “uniroot” function from the “rootSolve” library in R 375
programming language. All T90 values were utilized as a comparative measure for analyzing the decay rates of SARS-376
CoV-2, PMMoV and total RNA decay rates at temperatures of 4° C, 12° C and 20 °C. 377
0.1 = (𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝐹𝑎𝑠𝑡∗ 0.01) ∗ 𝑒−𝑘𝑓𝑎𝑠𝑡∗𝑡 + ((100 − 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝐹𝑎𝑠𝑡) ∗ 0.01) ∗ 𝑒−𝑘𝑠𝑙𝑜𝑤∗𝑡 (Eq 4)
378
3. Results and Discussion 379
3.1. Decay of SARS-CoV-2, PMMoV and total RNA under conditions simulating toilet 380
flushed stool and dynamic sewer suspended transport 381
The dynamic suspended transport experiments, conducted over a 35-hour period, were designed to mimic the 382
rapid transit conditions typically experienced in sewer systems under normal flow conditions, simulating the movement 383
of viral material from the time of a toilet flush using spiked -in infected stool material. Measurements of SARS -CoV-2, 384
PMMoV and total RNA (Figure 2A to 2C), as well as the volume -normalized, PMMoV -normalized and total RNA -385
normalized SARS-CoV-2 signal (Figure 2D to 2F), are presented over a simulated sewer transport time of 35 hours. 386
The volume-normalized results are calculated by volume normalizing the study data with the reactor volumes, which is 387
analogous to flow-normalized data collected from a full -scale, continuous flow operating system. No significant decay 388
was observed in the SARS-CoV-2, PMMoV and total RNA measurements within 35 -hour period. Consequently, there 389
were also no changes observed in the volume-normalized, PMMoV-normalized and total RNA-normalized SARS-CoV-390
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2 signals. These observations, particularly for SARS -CoV-2 and PMMoV, are consistent with previous studies. While 391
the previous studies did not directly replicate dynamic flow conditions, they assessed decay at temperatures between 392
4°C and 20°C using spiked -in viral materials and endogenous viral material already present in wastewater. Sala -393
Comorera et al. (2021) employed spiked -in viral material in river water and seawater at 4°C and 20°C, observing no 394
decay in river water at either temperature and no decay in seawater at 4°C, with significant decay occurring only in 395
seawater at 20°C. Similarly, Roldan -Hernandez et al. (2022) used endogenous material from wastewater that had 396
already been in the sewer system for 17 hours and observed little decay during the first 24 hours at temperatures 397
ranging from 4°C to 22°C. Interestingly, there are also contracting findings in the current literature, with studies by 398
Weidhaas et al. (2021) reporting significant decay of endogenous material during studies on sample storage at 4, 10 399
and 35 C, hence indicating that there may exist other factors influencing decay. As such, this study shows that 400
endogenous SARS-CoV-2 viral material, PMMoV viral material and total RNA released from stool do not significantly 401
decay under suspended sewer transport conditions during conventional sewer travel times from the point of entry in 402
sewersheds to the sampling point at temperatures between 4°C and 20°C. 403
To confirm that no statistically significant differences existed between the viral signal trends over the 35 -hour 404
simulated transport period, we conducted a series of independent student’s t -tests. For each target s (3) and 405
normalization methods (3), we assessed the effect of temperature using three separate tests: 4°C vs. 12°C, 4°C vs. 406
20°C, and 12°C vs. 20°C, resulting in a total of 18 tests. Additionally, we performed t -tests to compare the different 407
0.0 0.5 1.0 1.5 2.0
0
10,000
20,000
30,000
Time (Days)
Average N1 & N2 copies/g
4°C 12°C 20°C
A
0.0 0.5 1.0 1.5 2.0
0.000
0.004
0.008
0.012
Time (Days)
Average N1 & N2 copies/copy PMMoV 4°C 12°C 20°C
E
0.0 0.5 1.0 1.5 2.0
0
1.8×106
3.6×106
5.4×106
Time (Days)
PMMoV copies/g
4°C 12°C 20°C
B
0.0 0.5 1.0 1.5 2.0
0.000
0.002
0.004
0.006
Time (Days)
Average N1 & N2 copies/total RNA g 4°C 12°C 20°C
F
0.0 0.5 1.0 1.5 2.0
0
6×106
1.2×107
1.8×107
Time (Days)
Total RNA g/g
4°C 12°C 20°C
C
0.0 0.5 1.0 1.5 2.0
0
40,000
80,000
120,000
Time (Days)
Average N1 & N2 copies/L
4°C 12°C 20°C
D
Figure 2: Observed measurements across 35 hours under conditions simulating conventional sewer flow conditions of
A SARS-CoV-2; B PMMoV; C total RNA signal. Observed measurements of SARS-CoV-2 across 35 hours under
conventional sewer flow setting normalized by D volume; E PMMoV; F total RNA. Starting signal levels are represented
by the gray line. Mean and standard deviation are display ed for three temperatures, 4°C, 12°C and 20°C. Where the
standard deviation is too small, the error bars are not displayed. Each measurement was performed using 6 technical
triplicates from three biological replicates (n=5).
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normalization methods (volume-normalized vs. PMMoV-normalized, volume-normalized vs. total RNA-normalized, and 408
PMMoV-normalized vs. total RNA -normalized). The resulting p-values were all above the significance threshold (α = 409
0.05), indicating that neither temperature nor normalization method had a significant effect on persistence or 410
degradation, which was expected given the nonsignificant decay trends observed across all measured targets . These 411
findings are consistent with to those reported by a recent endogenous PMMoV and SARS -CoV-2 decay study by 412
Roldan-Hernandez et al. (2022) that found limited decay when subjected to temperature of 4°C and 22°C for a 10-day 413
period. In contrast, several other studies that use spiked virus with testing conditions that more closely simulate bed 414
and near -bed transport that report an increasing decay rate constant with increasing temperature , especially with 415
temperatures above 25°C (Ahmed et al., 2020b; de Oliveira et al., 2021; Roldan-Hernandez et al., 2022; Weidhaas et 416
al., 2021; Yang et al., 2022) . Our study hence addresses gaps in current knowledge and contradictory findings in the 417
literature by demonstrating that SARS-CoV-2, PMMoV and total RNA do not significantly decay under suspended sewer 418
transport conditions after the flush event at temperatures between 4°C and 20°C. 419
3.2. Decay of SARS -CoV-2, PMMoV and total RNA under conditions simulating toilet 420
flushed stool and bed and near-bed sewer transport 421
The bed and near-bed transport experiments extended up to 6 0 days to represent the longer retention times 422
of sedimented solids associated with lower flow conditions in the sewer system, particularly during colder months when 423
flow rates decrease. As with the dynamic transport experiments, spiked-in infected stool material was used to simulate 424
the transport of viral material from the time of a toilet flush. The concentrations of SARS-CoV-2, PMMoV and total RNA, 425
Figure 3A to 3, as well as the volume-normalized, PMMoV-normalized and total RNA-normalized SARS-CoV-2 viral 426
signal, Figures 3D to 3F , throughout the 60 -day experimental period is shown below. Sanger sequencing was 427
conducted at time points on day 21, day 45, and day 60 to ensure that the analyses did not produce false positives, 428
with all tests exhibiting a homology greater than 95% to the SARS-CoV-2 reference sequence (Severe acute respiratory 429
syndrome coronavirus 2 genome assembly, chromosome: 1, GenBank: OV387455.1) A statistically significant , 430
unexpected, increase in the measurements of SARS-CoV-2 (121% ± 21%; Figure 3A), PMMoV (75% ± 14%; Figure 431
3B) and total RNA (248% ± 6%; Figure 3C) at all temperatures are observed at the very beginning of the experiment 432
(between day 0 and day 1 as shown between the grey colo ur data point at time zero and the subsequent data points 433
shown in blue ( T=4°C), orange ( T=12°C) and red ( T=20°C)). Specifically, increases in SARS-CoV-2 (15% ± 4%), 434
PMMoV (63% ± 10%) and total RNA (160% ± 12%) were recorded across all temperatures . Similarly, an increase at 435
all temperatures for the volume-normalized dataset (25% ± 10%) were also observed while no significant changes were 436
noted for the PMMoV or RNA normalized signals . This increase was also seen in the non -stool-spiked wastewater 437
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control, ruling out the possibility this increase was caused solely by the use of spiked-in stool material in this study 438
(Supplementary Figure S2). As further exploration of this increase was beyond the scope of this study, we herein limit 439
the discussion of this phenomen on to a few brief statements that this change may be caused by the stool and 440
wastewater being exposed to the specific simulated bed and near-bed transport conditions in this study, as this same 441
increase was not observed when the stool or the wastewater was exposed to the dynamic suspended transport 442
conditions (i.e. were well mixed throughout the experimental phase). As such, it is possible that the microenvironments 443
within the wastewater mixed with stool created by non-mixed conditions of the vessels throughout the experimental 444
phase may have become anaerobic or anoxic and hence have increased the accessibility to the measurement targets 445
within the wastewater matrix. Indeed, as shown in Figure 4A, a drop of 1.52 ± 0.27 in pH is observed between time 0 446
and day 1 under bed and near-bed transport conditions while Figure 4B shows that pH remains relatively constant after 447
1 day of exposure to suspended transport conditions. The measured decrease in pH under simulated bed and near-448
bed transport conditions supports the potential of anaerobic conditions and a related shift in microenvironments within 449
the wastewater matrix which could in turn lead to a decrease in pH and a change in the partitioning of the target material 450
that may result in an increase of the accessibility of targets during the concentration and extraction analytical processes 451
used in this study (Espinosa et al., 2022). Further work is needed to continue to investigate this unique behaviour of an 452
increase in target material during exposure to unmixed transport conditions. 453
0
10,000
20,000
30,000
5 20 35 50 65
Time (Days)
Average N1 & N2 copies/g
4°C 12°C 20°C
1 2 30
* **
*
***
***
***
**
A
**
0
1.8×106
3.6×106
5.4×106
5 20 35 50 65
Time (Days)
PMMoV copies/g
4°C 12°C 20°C
0 1 2 3
*
*
***
*
B
0.000
0.004
0.008
0.012
5 20 35 50 65
Time (Days)
Average N1 & N2 copies/copy PMMoV 4°C 12°C 20°C
0 1 2 3
**
* * **
**
E
**
0.000
0.002
0.004
0.006
5 20 35 50 65
Time (Days)
Average N1 & N2 copies/total RNA g 4°C 12°C 20°C
0 1 2 3
*
F
0
6×106
1.2×107
1.8×107
5 20 35 50 65
Time (Days)
Total RNA g/g
4°C 12°C 20°C
0 1 2 3
**
*
*
*
*
*
**
C
0
40,000
80,000
120,000
5 20 35 50 65
Time (Days)
Average N1 & N2 copies/L
4°C 12°C 20°C
0 1 2 3
**
***
**
*
*
***
**
D
Figure 3: Observed measurements across 60 days under conditions simulating bed and near-bed transport conditions
of A SARS-CoV-2; B PMMoV; C total RNA signal. Observed measurements of SARS -CoV-2 across 60 days under
conditions simulating bed and near-bed transport conditions normalized by: D volume; E PMMoV; F total RNA. Mean
and standard deviations are displayed for three temperatures, 4°C, 12°C and 20°C. Where the standard deviation is
too small, the error bars are not displayed. Each measurement is performed in 6 technical triplicates from five biological
replicates (n=5). Asterisks indicate which data points are statistically different from the previous one based on p-value
cut-off of minimum <0.05.
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Decay rates were investigated from day 1 to day 60 of the simulated bed and near-bed transport conditions, 454
following the exclusion of the initial 24 -hour increase in signal, which was beyond the scope of this study (Figure 3). 455
Statistically significant decay was observed in SARS-CoV-2 and total RNA signal at all temperature s at day 2 while 456
PMMoV measurements only began showing signs of statistically significant decay at day 3. The heightened stability of 457
PMMoV may be attributed to its robust rod-shaped structure (Kitajima et al., 2014), while SARS-CoV-2 is hypothesized 458
to be present in wastewater primarily as fragmented virions (Kantor et al., 2021). For volume-normalized and PMMoV-459
normalized signals, statistically significant change was observed on day 3 at 4°C and 12°C, but not 20°C. Total RNA -460
normalized signal shows no significant changes except on day 2 at 4°C, 12°C and 20°C, due to the unexpected increase 461
described before, and again only on day 60 at 12°C. SARS-CoV-2, PMMoV and total RNA signals as well as volume-462
normalized signals demonstrated a rapid decay in measured signal between day 1 to 3, followed by a marked tapering 463
of the decay for the remainder of the study ( days 7 to 60). During this experiment, PMMoV-normalized viral signal 464
showed a constant decrease between days 1 to 45, while total RNA-normalized viral signal showed almost no change 465
from days 1 to 60. A first order decay model was first investigated to model the experimental data. The mean first order 466
decay rate constants at temperature of 4°C to 20°C for SARS -CoV-2, PMMoV and total RNA ranged from of 0.045 to 467
0.053 day-1, 0.014 to 0.025 day -1 and 0.040 to 0.050 day -1 respectively. The subsequent calculated decay rates at 468
temperature of 4°C to 20°C for the volume-normalized and PMMoV-normalized signal ranged from, 0.037 to 0.042 day-469
1 and 0.032 to 0.027 day -1 respectively. The mean first order decay rate of total RNA-normalized signal was non-470
calculatable because there as no decay present of this normalized signal. 471
472
The T90 values ranged from 43.4 to 51.2 days for SARS-CoV-2, 92.1 to 164.5 days for PMMoV and 46.1 to 473
57.6 days for total RNA (Table 3). At all temperatures, the SARS-CoV-2 T90 observed in this study is larger than the 474
Figure 4: pH variation across time in: A conditions simulating dynamic suspended transport ; B conditions simulating
bed and near-bed transport conditions.
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values reported by studies investigating decay rates of lab propagated spiked SARS-CoV-2 material in wastewater (1.6 475
– 36 days) (Ahmed et al., 2020b; de Oliveira et al., 2021; Hokajärvi et al., 2021). However the reported range 476
significantly broadens (0.5 – 154.9 days) when considering studies investigated decay with endogenous SARS-CoV-2 477
(Babler et al., 2023; Hart et al., 2023; Roldan -Hernandez et al., 2022; Weidhaas et al., 2021; Yang et al., 2022) , with 478
this range now including the T90 values measured in this study. The T90 values of this study in combination with the 479
findings of previously reported value suggest that endogenous SARS -CoV-2 is more persistent and hence more 480
resistant to decay then lab propagated spiked material. The PMMoV T90 observed in this study falls within the range of 481
reported values from other studies investigating endogenous PMMoV material (25.3 – 237.4 days) (Rachmadi, 2016; 482
Roldan-Hernandez et al., 2022; Sala -Comorera et al., 2021) . The variability in the reported T 90 values in current 483
literature suggests that there are additional, unreported factors influencing decay rates. Our study highlights the 484
knowledge gap of the influence of decay from the point of entry into the sewer system and also the influence of various 485
sewer flow conditions on endogenous signal decay. This further emphasizes the need for more research to identify 486
other potential sources of variation, such as wastewater matrix composition, target titer and sewer infrastructure. 487
488
Table 3: Mean and 95% confidence interval of first order decay constant (k) and T90 under conditions simulating toilet 489
flushed stool and bed and near-bed sewer transport. 490
n.c. indicate non-calculatable, where the model was unstable because no decay was present. 491
First Order Decay Model
Measurement Temperature (°C) k (d-1)
(Mean) [95% CI]
T90 (days)
(Mean) [95% CI] R2
Average N1 & N2
(copies/g)
4 0.045 [0.048 to 0.042] 51.2 [48.0 to 54.8] 0.48
12 0.049 [0.052 to 0.046] 47.0 [44.3 to 50.1] 0.54
20 0.053 [0.056 to 0.049] 43.4 [41.1 to 47.0] 0.63
PMMoV
(copies/g)
4 0.014 [0.016 to 0.012] 164.5 [143.9 to 191.9] 0.32
12 0.022 [0.025 to 0.019] 104.7 [92.1 to 121.2] 0.40
20 0.025 [0.028 to 0.022] 92.1 [82.2 to 104.7] 0.38
total RNA
(μg/g)
4 0.040 [0.047 to 0.034] 57.6 [49.0 to 67.7] 0.63
12 0.041 [0.047 to 0.035] 56.2 [49.0 to 65.8] 0.67
20 0.050 [0.058 to 0.043] 46.1 [39.7 to 53.5] 0.77
Average N1 & N2
(copies/L)
4 0.037 [0.040 to 0.035] 62.2 [57.6 to 67.7] 0.53
12 0.037 [0.040 to 0.033] 62.2 [57.6 to 69.8] 0.42
20 0.042 [0.046 to 0.038] 54.8 [50.1 to 60.6] 0.59
Average N1 & N2
(copies/copies
PMMoV)
4 0.032 [0.034 to 0.030] 72.0 [67.7 to 76.8] 0.54
12 0.025 [0.027 to 0.023] 62.2 [57.6 to 69.8] 0.50
20 0.027 [0.029 to 0.025] 85.3 [79.4 to 92.1] 0.51
Average N1 & N2
(copies/total
RNA μg)
4 n.c. n.c. n.c.
12 n.c. n.c. n.c.
20 n.c. n.c. n.c.
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The three normalization strategies applied in this research, volume-normalized, PMMoV-normalized and total 492
RNA-normalized SARS -CoV-2, demonstrate that the total RNA normalization strategy effectively corrects for time 493
decay of SARS -CoV-2 under bed and near -bed transport conditions, when decay of the viral measurement is 494
significant. An evaluation of whether decay constants were significantly non -zero showed in this study that only the 495
total RNA normalization yielded nonsignificant first order decay constants, with p-values of 0.9588, 0.0511, and 0.1640 496
at 4°C, 12°C, and 20°C, respectively (Supplemental Table S4). This is to be expected as the decay rate of SARS-CoV-497
2 was distinct from the decay rate of PMMoV (p<0.001 at all temperatures) while, when compared with total RNA, no 498
significant difference was seen between the decay rate of SARS-CoV-2 and total RNA (p-value of 0.2166, 0.0738 and 499
0.6824 at 4°C, 12°C and 20°C respectively) (Supplementary Table S5). This suggests that the measurement of SARS-500
CoV-2 decays at a similar rate to the measurement of the total RNA of stool and wastewaters. Hence, total RNA is 501
identified in this study as an important normalizing marker for sewer decay during bed and near-bed transport conditions 502
and hence also as a potential important indicator of sewer flushing events that are known to re-suspend settled solids 503
from within sewer infrastructure. 504
3.2.1. Temperature effect 505
To investigate the effect of temperature on decay rate constants, comparisons were made between the rates 506
at different temperatures : 4°C versus 12°C, 4°C versus 20°C, and 12°C versus 20°C. These comparisons were 507
conducted for measurements of SARS-CoV-2, PMMoV, total RNA, and their normalized values (Supplemental Table 508
S6). A significant temperature effect was observed between the decay rate of SARS -CoV-2 at 4°C and 20°C (p -509
value=0.0021). The decay rate of PMMoV differed significantly between 4°C and 12°C and between 4°C and 20°C with 510
both showing p-values of less than 0.0001. A significant difference was only observed for the decay rate of total RNA 511
between 4°C and 20°C , with a p-value of 0.0433, which is close to the conventional threshold for significance. This 512
suggests that additional data would be required to more accurately interpret the influence of temperature on total RNA 513
decay. The volume-normalized signal datasets also indicated significant temperature effects, with significant 514
differences observed between 4°C and 20°C (p-value=0.0330), as well as between 12°C and 20°C (p -value=0.0387). 515
Similarly, PMMoV-normalized measurements showed significant differences between 4°C and 12°C, and 4°C and 20°C 516
(p-values<0.0001 and 0.0016, respectively), which could be partially driven by the temperature effect on the normalizer, 517
PMMoV itself. Finally, no temperature effect was observed on the total RNA-normalized signal, as there was no decay 518
detected, which aligns with the finding that total RNA would be a sui table normalizer for sewer decay under bed and 519
near-bed transport conditions and as an identifier of sewer flushing events that re-suspends settled solids. Despite the 520
statistical significance observed in temperature -related differences in decay rates, the actual magnitude of these 521
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changes is minimal. When we assess the impact of temperature on the decay constant by linearizing the relationship 522
through a Log 10 transformation of the mean first order decay rate against temperature, as shown in Figure 5, only 523
PMMoV demonstrates a discernible trend of increasing decay constant with rising temperature. In contrast, SARS-524
CoV-2, total RNA and volume-normalized Log10 linearize decay versus temperature display a flat trend, and the 525
PMMoV-normalized data even shows a slight inverse correlation. This deviates from what is typically reported in the 526
literature for spiked viruses (Ahmed et al., 2020b) where temperature impact is significant. However, this could be 527
attributed to the enhanced persistence of RNA when bound with dissolved organic matter in wastewater (Roldan-528
Hernandez et al., 2022), which may impede its biodegradation in natural systems, potentially offering protection against 529
temperature effects (Chatterjee et al., 2023) . This suggests that the persistent measurement of endogenous SARS -530
CoV-2, PMMoV, and total RNA is primarily driven by transport conditions and travel time within the sewer system, 531
rather than by temperature. This conclusion is reinforced by the alignment of this study’s decay rates with findings from 532
modelling of endogenous signals, which suggests that time spent in the sewer system has a greater impact on 533
degradation than temperature (Guo et al., 2023; McCall et al., 2022). 534
3.2.1. Two-phase decay 535
In addition to applying a first order decay model to the experimental data (excluding the initial 24-hour period), 536
a two-phase decay model was also evaluated to describe the decay dynamics observed from day 1 to day 60. The fit 537
of the model was assessed using an extra sum -of-squares F test. For SARS-CoV-2, PMMoV, total RNA signals and 538
the normalized signals, results showed that the F test values exceeded the critical threshold, indicating that the two-539
phases decay model had a better fit compared to the first order model. This finding implies that decay time might be 540
underestimated by the first order model, with the decrease in measurements being more accurately expressed in the 541
two-phases decay model. The p-values for each test were less than 0.0001, suggesting that the F -statistic results are 542
not likely due to random variability. The total RNA -normalized signal had a p -value of 0.0018, which is significantly 543
higher than other results and because no decay was observable in the RNA-normalized data. 544
0 4 8 12 16 20 24
-2.0
-1.5
-1.0
-0.5
0.0
Temperature (°C)
Log10 k
Average N1 & N2 (copies/g)
PMMoV (copies/g)
Total RNA (g/g)
Average N1 & N2 (copies/L)
Average N1 & N2 (copies/copy PMMoV)
Figure 5: Log10 linearization of the mean first order decay rate constant against temperature
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Table 4: Mean and 95% confidence interval of two-phase decay constant (k) and T90 under conditions simulating 545
toilet flushed stool and bed and near-bed sewer transport. 546
n.c. indicate non-calculatable, where the model was unstable because no decay was present. 547
The mean second order decay rates at temperatures ranging from 4°C to 20°C for SARS -CoV-2, PMMoV, 548
and total RNA ranged respectively from 0 .660 to 0.842 day-1, 0.798 to 1.343 day-1, and 0.539 to 0.934 day-1 for kfast. 549
Two-Phase Decay Model
Measurement Temperature (°C) k (day-1)
(Mean) [95% CI] T90 (days) [95% CI] Fast phase
Percentage (%) R2
Average N1 & N2
(copies/g)
4
kfast : 0.842 [0.712 to 1.000]
340.7 [464.6 to 255.6] 81.7 [78.8 to 84.2] 0.79
kslow : 0.015 [0.011 to 0.020]
12
kfast : 0.700 [0.603 to 0.812]
363 [564.6 to 267.4] 82.4 [79.9 to 84.7] 0.84
kslow : 0.014 [0.009 to 0.019]
20
kfast : 0.660 [0.576 to 0.756]
307.2 [491.6 to 223.4] 85.7 [83.3 to 87.8] 0.86
kslow : 0.016 [0.010 to 0.022]
PMMoV (copies/g)
4
kfast : 1.343 [0.751 to 3.594]
1388.8 [2777.5 to 793.6] 63.2 [47.2 to 90.7] 0.54
kslow : 0.004 [0.002 to 0.007]
12
kfast : 0.875 [0.634 to 1.213]
1088.2 [2720.6 to 680.1] 70.6 [63.6 to 76.7] 0.76
kslow : 0.005 [0.002 to 0.008]
20
kfast : 0.789 [0.556 to 1.108]
1079.9 [2699.7 to 599.9] 72.6 [65.6 to 78.4] 0.74
kslow : 0.005 [0.002 to 0.009]
total RNA
(μg/g)
4
kfast : 0.934 [0.707 to 1.269] 327.6 [476.5 to 238.3]
78.3 [73.6 to 82.4] 0.92
kslow : 0.016 [0.011 to 0.022]
12
kfast : 0.922 [0.536 to 1.831]
299.8 [539.6 to 199.9] 72.7 [62.1 to 84.1] 0.89
kslow : 0.018 [0.010 to 0.027]
20
kfast : 0.539 [0.389 to 0.746]
282.8 [1272.8 to 149.7] 82.2 [74.6 to 88.1] 0.63
kslow : 0.018 [0.004 to 0.034]
Average N1 & N2
(copies/L)
4
kfast : 0.449 [0.317 to 0.626]
394.2 [613.2 to 275.9] 66.1 [59.6 to 71.4] 0.68
kslow : 0.014 [0.009 to 0.020]
12
kfast : 0.590 [0.445 to 0.775]
416.3 [676.5 to 284.8] 71.9 [65.7 to 77.0] 0.61
kslow : 0.013 [0.008 to 0.019]
20
kfast : 0.260 [0.189 to 0.350]
357.4 [1340.2 to 206.2] 74.2 [64.8 to 82.2] 0.68
kslow : 0.015 [0.004 to 0.026]
Average N1 & N2
(copies/copies
PMMoV)
4
kfast : 0.475 [0.325 to 0.667]
427.7 [695 to 308.9] 62.7 [56.5 to 67.9] 0.69
kslow : 0.013 [0.008 to 0.018]
12
kfast : 0.319 [0.217 to 0.463]
562.7 [937.8 to 401.9] 50.1 [42.2 to 56.8] 0.61
kslow : 0.010 [0.006 to 0.014]
20
kfast : 0.220 [0.138 to 0.334]
697.9 [5582.9 to 398.8] 60.4 [51.3 to 69.3] 0.63
kslow : 0.008 [0.001 to 0.014]
Average N1 & N2
(copies/total RNA
μg)
4
kfast : n.c.
n.c. n.c. n.c.
kslow : n.c.
12
kfast : n.c.
n.c. n.c. n.c.
kslow : n.c.
20
kfast : n.c.
n.c. n.c. n.c.
kslow : n.c.
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For kslow, these rates were 0.014 to 0.015 day-1, 0.004 to 0.005 day-1, and 0.016 to 0.018 day-1 (Table 4). The calculated 550
decay rates at the same temperature range for the volume-normalized and PMMoV -normalized signals ranged 551
respectively from 0.260 to 0.590 day-1 and 0.220 to 0.475 day-1 for kfast. For kslow, these rates were 0.013 to 0.015 day-552
1 and 0.008 to 0.013 day-1 (Table 4). The model was unstable and could not fit the RNA-normalized signals as no decay 553
was present. The T90 values ranged from 307.2 to 340.7 days for SARS-CoV-2, 1079.9 to 1388.8 days for PMMoV, 554
and 282.8 to 372.6 days for total RNA ( Table 4 ). These value s fall outside the range observed in studies using 555
endogenous SARS -CoV-2 (0.5 – 154.9 days) and PMMoV (25.3 – 237.4 days) which could be due to an 556
underestimation of the reported decay rate when modelled with a fir st order decay model (Roldan-Hernandez et al., 557
2022; Weidhaas et al., 2021; Yang et al., 2022) . This discrepancy may also stem from our study ’s approach to 558
measuring persistence and degradation, including the examination of decay from the point of entry into the system, a 559
factor often overlooked in other studies and potentially leading to an underestimation of T 90 values, and also our 560
approach to simulate common transport conditions within sewer systems. Hence , the use of spiked -in stool samples 561
and assessing the impact of common flow conditions on endogenous SARS-CoV-2 and PMMoV decay could contribute 562
to these observed differences, bridging key knowledge gaps in achieving a more accurate representation of the decay 563
dynamics of these target materials in real-world sewer systems. Once again, the kfast and kslow of SARS-CoV-2 and 564
PMMoV were statistically different, with PMMoV decaying much slower than the SARS -CoV-2 target. On the other 565
hand, the kfast and kslow of total RNA was similar to that of SARS-CoV-2. As a result, both flow and PMMoV were shown 566
not to be adequate normalizers of targets exposed to bed and near-bed transport conditions. These findings suggest 567
that while PMMoV is a good fecal marker normalizer, its slower de cay rate makes it unsuitable for normalizing decay 568
occurring in bed and near-bed transport. In addition the study shows that total RNA-normalized signal is an appropriate 569
biomarker to normalize for bed and near -bed transport and in turn is a potential important indicator of sewer flushing 570
events. 571
4. Conclusions 572
Our study offers insights into the endogenous decay of SARS -CoV-2, PMMoV and total RNA from point of 573
entry in the sewer system, the toilet flush event , and during two predominant sewer transport conditions . Simulated 574
dynamic suspended transport over 35 hours period revealed good persistence and minimal degradation of the 575
measurement of SARS-CoV-2, PMMoV, and total RNA throughout short, moderate and long sewer transport conditions 576
that simulate small, medium and large sewersheds subsections. The observed decay rates showed no significant decay 577
rate for SARS -CoV-2, PMMoV or total RNA which appears to be independent of temperature effects within the 578
temperature range of 4°C to 20°C. This finding indicates negligible decay in dynamic suspended transport. 579
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In contrast, the experiments simulating bed and near -bed transport conditions for 60 days demonstrated an 580
initial unexpected increase in the measurement of SARS-CoV-2, PMMoV, and total RNA. This could be attributed to 581
microenvironment shifts caused by the simulated t ransport conditions, a phenomenon that warrants further 582
investigation. Due to the complexity of this initial phase, the data from day 0 to 1 were excluded from the decay analysis. 583
Subsequently, decay was computed from day 1 to 60, where significant decay rates were observed with differing decay 584
patterns for SARS -CoV-2, PMMoV, and total RNA being observed. Temperature effect was minimal, suggesting the 585
decay is primarily driven by transport conditions and travel time within the sewer system, rather than by temperature. 586
The decay rates of the simulated bed and near-bed transport were observed to be within the range of previous studies 587
on endogenous targets. Although within the range, the variability in reported decay patterns suggests the potential 588
influence of other parameters like wastewater matrix composition, viral titers, or sewer system dynamics, which need 589
further exploration. To that end, our research particularly highlighted the previously overlooked impacts on endogenous 590
signals of decay from point of entry into the system and the role of different flow conditions in this process. While our 591
first order decay model fell short in predicting the decay rates, a two-phases decay model significantly improved the fit 592
during bed and near-bed transport. Total RNA normalization emerged as the most effective strategy for correcting time 593
decay in sewer systems experiencing bed and near -bed transport conditions . The outcomes of our study have 594
implications for understanding and modelling of SARS-CoV-2 WBS in sewersheds, especially systems that undergo 595
bed and near -bed transport conditions followed by sudden resuspension and mixing events, such as large rainfall 596
events, where flushing of the sewer infrastructure causes the re-suspension of SARS-CoV-2, PMMoV and total RNA 597
gene targets. This study also underlines the need for further investigation into time zero, toilet flush de cay studies 598
performed under different sewer transport conditions. 599
5. Declaration of competing interests 600
The authors declare that no known competing financial interests or personal relationships could appear to 601
influence the work reported in this manuscript. 602
6. Acknowledgements 603
The authors wish to acknowledge the help and assistance of the University of Ottawa, the Ottawa Hospital, 604
the Children’s Hospital of Eastern Ontario, the Children’s Hospital of Eastern Ontario’s Research Institute, Public Health 605
Ontario and all their employees involved in the project. Most specifically, the authors wish to thank Jessica Haines, 606
Rebecca Porteous, Irene Watpool. Their time, facilities, resources, and feedback are greatly appreciated. 607
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7. Funding 608
This research was supported by the Province of Ontario’s Wastewater Surveillance Initiative (WSI). This 609
research was also supported by a CHEO (Children’s Hospital of Eastern Ontario) CHAMO (Children’s Hospital 610
Academic Medical Organization) grant, awarded to Dr. Alex E. MacKenzie. This research was supported by the CIHR 611
Applied Public Health Research Chair in Environment, Climate Change and One Health, awarded to Dr. Robert 612
Delatolla. The funding source had no involvement in the study design, data collection, data analysis, data interpretation, 613
nor the writing or decision to submit the paper for publication. 614
615
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