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Distribution of floating marine macro-litter in relation to oceanographic characteristics in the Russian Arctic Seas Full text
2021
Pogojeva, Maria | Zhdanov, Igor | Berezina, Anfisa | Lapenkov, Artem | Kosmach, Denis | Osadchiev, Alexander | Hanke, Georg | Semiletov, Igor | Yakushev, Evgeniy
Embargo until 11 March, 2023. | The main objectives of this work were the acquisition of new data on floating marine macro litter (FMML) and natural floating objects in the Arctic seas, an initial assessment of the level of pollution by FMML and an analysis of potential sources. The results of this study present the first data on FMML distribution in Russian Arctic shelf seas in relation to oceanographic conditions (i.e. position of water masses of different origin as described by temperature, salinity, dissolved oxygen and pH). The main finding of this study is that FMML was found only in the water of Atlantic origin, inflowing from the Barents Sea, where FMML average density on the observed transects was 0.92 items/ km2. Eastern parts of the study, Kara Sea, Laptev Sea and East Siberian Sea were practically free from FMML. No input from rivers was detected, at least in autumn, when the observations were performed. | acceptedVersion
Show more [+] Less [-]Changes to an urban marina soundscape associated with COVID-19 lockdown in Guadeloupe Full text
2021
Bertucci, Frédéric | Lecchini, David | Greeven, Céline | Brooker, Rohan M | Minier, Lana | Cordonnier, Sébastien | René-Trouillefou, Malika | Parmentier, Eric
Changes to an urban marina soundscape associated with COVID-19 lockdown in Guadeloupe Full text
2021
Bertucci, Frédéric | Lecchini, David | Greeven, Céline | Brooker, Rohan M | Minier, Lana | Cordonnier, Sébastien | René-Trouillefou, Malika | Parmentier, Eric
peer reviewed
Show more [+] Less [-]Changes to an urban marina soundscape associated with COVID-19 lockdown in Guadeloupe Full text
2021
Bertucci, Frédéric | Lecchini, David | Greeven, Céline | Brooker, Rohan M. | Minier, Lana | Cordonnier, Sébastien | René-Trouillefou, Malika | Parmentier, Eric
In 2020, the COVID-19 pandemic led to government-enforced limits on activities worldwide, causing a marked reduction of human presence in outdoors environments, including in coastal areas that normally support substantial levels of boat traffic. These restrictions provided a unique opportunity to quantify the degree to which anthropogenic noise contributes to and impacts underwater soundscapes. In Guadeloupe, French West Indies, a significantly lower number of motor boats were recorded in the vicinity of the major urban marina during the peak of the first COVID-19 lockdown (April–May 2020), compared with the number recorded post-lockdown. The resumption of human activities at the end of May was correlated with a maximum increase of 6 decibels in the ambient noise level underwater. The change in noise level did not impact daily sound production patterns of vocal fishes, with increased activity at dusk seen both during and after the lockdown period. However, during the lockdown vocal activity was comprised of a reduced number of sounds, suggesting that anthropogenic noise has the potential to interfere with vocalization behaviours in fishes.
Show more [+] Less [-]Distribution of natural and anthropogenic radionuclides in sediments from the Vefsnfjord, Norway Full text
2021
Heldal, Hilde Elise | Helvik, Lena | Haanes, Hallvard | Volynkin, Andrey Sergeevich | Jensen, Henning | Lepland, Aivo
Distribution of natural and anthropogenic radionuclides in sediments from the Vefsnfjord, Norway Full text
2021
Heldal, Hilde Elise | Helvik, Lena | Haanes, Hallvard | Volynkin, Andrey Sergeevich | Jensen, Henning | Lepland, Aivo
Areas in central Norway were heavily contaminated with fallout from the Chernobyl accident in 1986. In this study, we assess 137Cs in surface sediments and sediment cores collected in the Vefsnfjord in Nordland county. Concentrations of 137Cs in surface sediments ranged from 159 to 191 Bq kg−1 dry weight (d.w.). Sub-surface peaks of 137Cs were observed in all cores, with a maximum concentration of 432 Bq kg−1 d.w. Given that little is known about the distribution of naturally occurring radionuclides in Norwegian fjords and coastal areas, a better understanding of the total burden of radioactivity is important for the Norwegian fishing and aquaculture industries. Therefore, analyses of the natural radionuclides 40K, 226Ra, 228Ra and 210Pb were included in the study. Analyses of total sulphur (TS), total carbon (TC), total organic carbon (TOC) and grain size distribution have been performed to provide a sedimentologic context for interpreting the radionuclide results. | publishedVersion
Show more [+] Less [-]Distribution of natural and anthropogenic radionuclides in sediments from the Vefsnfjord, Norway Full text
2021
Heldal, H.E. | Helvik, L. | Haanes, H. | Volynkin, A. | Jensen, H. | Lepland, A.
Areas in central Norway were heavily contaminated with fallout from the Chernobyl accident in 1986. In this study, we assess ¹³⁷Cs in surface sediments and sediment cores collected in the Vefsnfjord in Nordland county. Concentrations of ¹³⁷Cs in surface sediments ranged from 159 to 191 Bq kg⁻¹ dry weight (d.w.). Sub-surface peaks of ¹³⁷Cs were observed in all cores, with a maximum concentration of 432 Bq kg⁻¹ d.w. Given that little is known about the distribution of naturally occurring radionuclides in Norwegian fjords and coastal areas, a better understanding of the total burden of radioactivity is important for the Norwegian fishing and aquaculture industries. Therefore, analyses of the natural radionuclides ⁴⁰K, ²²⁶Ra, ²²⁸Ra and ²¹⁰Pb were included in the study. Analyses of total sulphur (TS), total carbon (TC), total organic carbon (TOC) and grain size distribution have been performed to provide a sedimentologic context for interpreting the radionuclide results.
Show more [+] Less [-]Methods for determining the geographical origin and age of beach litter: Challenges and opportunities Full text
2021
Falk-Andersson, Jannike | Tairova, Zhanna | Tokvam Drægni, Tora | Larsen Haarr, Marthe
Embargo until September 2, 2023. | Beach litter analysis is a cost-effective tool to identify litter sources and subsequent management actions. However, standard beach litter protocols are not generally developed to identify litter's origins and age. Data from Svalbard (North Atlantic/ Arctic Ocean) were therefore used to explore reliable methods to fill this knowledge gap. Written text and country specific brands, as well as printed production or expiry dates proved the most efficient and reliable identifiers. The use of product design and logos considerably increased the proportion of items that could be sourced (by 19%) and dated (by 22%). The successful use of these is defined by the expertise of the analysing team and may introduce bias. The bias can be reduced by developing picture guides and involving stakeholders. The analyses showed that littering is on-going and that the area's major fishing nations, Norway and Russia, dominated the identified litter (38% and 14%, respectively). | acceptedVersion
Show more [+] Less [-]Repeated insecticide pulses increase harmful effects on stream macroinvertebrate biodiversity and function Full text
2021
Wiberg-Larsen, Peter | Nørum, Ulrik | Rasmussen, Jes Jessen
Repeated insecticide pulses increase harmful effects on stream macroinvertebrate biodiversity and function Full text
2021
Wiberg-Larsen, Peter | Nørum, Ulrik | Rasmussen, Jes Jessen
Embargo until 29 December 2022. | We exposed twelve mesocosm stream channels and four instream channels to one, two, and four pulses of the insecticide lambda-cyhalothrin (0.1 μg L−1) applied at two day intervals, each pulse lasting 90 min. Unexposed controls were included. We monitored macroinvertebrate taxonomic composition in the channels and in deployed leaf packs one day before and 29 days after the first exposure. Further, we measured drift in and out of the channels and leaf litter decomposition. Lambda-cyhalothrin exposures induced significantly increased drift in both experiments especially for Gammarus pulex, Amphinemura standfussi, and Leuctra spp. Macroinvertebrate taxonomic composition increasingly changed with increasing number of lambda-cyhalothrin exposures being most pronounced in the mesocosm channels. Further, leaf decomposition significantly decreased with increasing number of exposures in the mesocosm channels. Our study showed that species with predicted highest sensitivity to lambda-cyhalothrin were primary drivers of significant changes in taxonomic composition lasting for at least one month despite continuous recolonization of exposed channels from upstream parts of the natural stream and from the water inlet in the mesocosm channels. The overall results highlight the importance of sequential exposures to insecticides for understanding the full impact of insecticides on macroinvertebrates at the community level in streams. | acceptedVersion
Show more [+] Less [-]Repeated insecticide pulses increase harmful effects on stream macroinvertebrate biodiversity and function Full text
2021
Wiberg-Larsen, Peter | Nørum, Ulrik | Rasmussen, Jes Jessen
We exposed twelve mesocosm stream channels and four instream channels to one, two, and four pulses of the insecticide lambda-cyhalothrin (0.1 μg L⁻¹) applied at two day intervals, each pulse lasting 90 min. Unexposed controls were included. We monitored macroinvertebrate taxonomic composition in the channels and in deployed leaf packs one day before and 29 days after the first exposure. Further, we measured drift in and out of the channels and leaf litter decomposition. Lambda-cyhalothrin exposures induced significantly increased drift in both experiments especially for Gammarus pulex, Amphinemura standfussi, and Leuctra spp. Macroinvertebrate taxonomic composition increasingly changed with increasing number of lambda-cyhalothrin exposures being most pronounced in the mesocosm channels. Further, leaf decomposition significantly decreased with increasing number of exposures in the mesocosm channels. Our study showed that species with predicted highest sensitivity to lambda-cyhalothrin were primary drivers of significant changes in taxonomic composition lasting for at least one month despite continuous recolonization of exposed channels from upstream parts of the natural stream and from the water inlet in the mesocosm channels. The overall results highlight the importance of sequential exposures to insecticides for understanding the full impact of insecticides on macroinvertebrates at the community level in streams.
Show more [+] Less [-]Large-scale basin testing to simulate realistic oil droplet distributions from subsea release of oil and the effect of subsea dispersant injection Full text
2021
Brandvik, Per Johan | Davies, Emlyn John | Leirvik, Frode | Johansen, Øistein | Belore, Randy
Large-scale basin testing to simulate realistic oil droplet distributions from subsea release of oil and the effect of subsea dispersant injection Full text
2021
Brandvik, Per Johan | Davies, Emlyn John | Leirvik, Frode | Johansen, Øistein | Belore, Randy
Small-scale experiments performed at SINTEF, Norway in 2011–12 led to the development of a modified Weber scaling algorithm. The algorithm predicts initial oil droplet sizes (d50) from a subsea oil and gas blowout. It was quickly implemented in a high number of operational oil spill models used to predict fate and effect of subsea oil releases both in academia and in the oil industry. This paper presents experimental data from large-scale experiments generating oil droplet data in a more realistic multi-millimeter size range for a subsea blow-out. This new data shows a very high correlation with predictions from the modified Weber scaling algorithm both for untreated oil and oil treated by dispersant injection. This finding is opposed to earlier studies predicting significantly smaller droplets, using a similar approach for estimating droplet sizes, but with calibration coefficients that we mean are not representative of the turbulence present in such releases. | publishedVersion
Show more [+] Less [-]Large-scale basin testing to simulate realistic oil droplet distributions from subsea release of oil and the effect of subsea dispersant injection Full text
2021
Brandvik, Per Johan | Davies, Emlyn | Leirvik, Frode | Johansen, Øistein | Belore, Randy
Small-scale experiments performed at SINTEF, Norway in 2011–12 led to the development of a modified Weber scaling algorithm. The algorithm predicts initial oil droplet sizes (d₅₀) from a subsea oil and gas blowout. It was quickly implemented in a high number of operational oil spill models used to predict fate and effect of subsea oil releases both in academia and in the oil industry.This paper presents experimental data from large-scale experiments generating oil droplet data in a more realistic multi-millimeter size range for a subsea blow-out. This new data shows a very high correlation with predictions from the modified Weber scaling algorithm both for untreated oil and oil treated by dispersant injection.This finding is opposed to earlier studies predicting significantly smaller droplets, using a similar approach for estimating droplet sizes, but with calibration coefficients that we mean are not representative of the turbulence present in such releases.
Show more [+] Less [-]Time trends of perfluoroalkyl substances in blood in 30-year old Norwegian men and women in the period 1986–2007 Full text
2021
Berg, Vivian | Sandanger, Torkjel M | Hanssen, Linda | Rylander, Charlotta | Nøst, Therese Haugdahl
Time trends of perfluoroalkyl substances in blood in 30-year old Norwegian men and women in the period 1986–2007 Full text
2021
Berg, Vivian | Sandanger, Torkjel M | Hanssen, Linda | Rylander, Charlotta | Nøst, Therese Haugdahl
Biomonitoring studies are helpful tools and can increase our knowledge on time trends in human blood concentrations of PFASs: how they relate to emission trends and the potential prenatal exposure for future generations. In this study, serum was sampled in cross-sections of men and women who were 30 years old in each of the years 1986, 1994, 2001, and 2007 in Northern Norway and analyzed for 23 PFASs. Differences in serum concentrations across sampling years were investigated graphically and with significance testing and compared with those observed in our previous longitudinal study using repeated individual measurements in older men in the same years. The results demonstrate overall increasing blood burdens of PFASs in men and women in reproductively active ages during 1986–2001 and decreases until 2007. However, longer chained PFASs were still increasing in 2007 indicating divergent time trends between the different PFASs, underlining the importance of continued biomonitoring. Comparisons between 30-year-old men and older men within the same population demonstrated variation in time trends in the exact same years, underlining that biomonitoring studies must regard historic exposures and birth cohort effects. | publishedVersion
Show more [+] Less [-]Time trends of perfluoroalkyl substances in blood in 30-year old Norwegian men and women in the period 1986–2007 Full text
2021
Berg, Vivian | Sandanger, Torkjel Manning | Hanssen, Linda | Rylander, Charlotta | Nøst, Therese Haugdahl
Biomonitoring studies are helpful tools and can increase our knowledge on time trends in human blood concentrations of PFASs: how they relate to emission trends and the potential prenatal exposure for future generations. In this study, serum was sampled in cross-sections of men and women who were 30 years old in each of the years 1986, 1994, 2001, and 2007 in Northern Norway and analyzed for 23 PFASs. Differences in serum concentrations across sampling years were investigated graphically and with significance testing and compared with those observed in our previous longitudinal study using repeated individual measurements in older men in the same years. The results demonstrate overall increasing blood burdens of PFASs in men and women in reproductively active ages during 1986–2001 and decreases until 2007. However, longer chained PFASs were still increasing in 2007 indicating divergent time trends between the different PFASs, underlining the importance of continued biomonitoring. Comparisons between 30-year-old men and older men within the same population demonstrated variation in time trends in the exact same years, underlining that biomonitoring studies must regard historic exposures and birth cohort effects.
Show more [+] Less [-]Impact of aquaculture and agriculture nutrient sources on macroalgae in a bioassay study | Impact of aquaculture and agriculture nutrient sources on macroalgae in a bioassay study Full text
2021
Streicher, Michael Daniel | Reiss, Henning | Reiss, Katrin
Impact of aquaculture and agriculture nutrient sources on macroalgae in a bioassay study | Impact of aquaculture and agriculture nutrient sources on macroalgae in a bioassay study Full text
2021
Streicher, Michael Daniel | Reiss, Henning | Reiss, Katrin
Eutrophication is a major threat to aquatic ecosystems, because excessive nutrient enrichment may result in the loss of ecosystem services. Fjord systems are specifically under pressure due to nutrient input from land (agriculture) and sea (aquaculture). In this bioassay study, we have analyzed the effect of different nutrient sources, as well as their combination, on growth, nutrient composition and recruitment of habitat-forming and ephemeral macrophytes. We found that agricultural fertilizer increased growth for all algae (except Fucus), while the fish farm effluents mainly increased growth of Ulva. The C:N ratio was hardly affected by the fish farm, but decreased significantly in all algae when agriculture fertilizer was added. Most interestingly, however, distance to the fish farm modulated the algal response to the fertilizer. Our results demonstrate the importance of studying effects of multiple stressors in aquatic ecosystems to sustainably manage the consequences of anthropogenic impacts. | publishedVersion
Show more [+] Less [-]Impact of aquaculture and agriculture nutrient sources on macroalgae in a bioassay study Full text
2021
Streicher, Michael D. | Reiss, Henning | Reiss, Katrin
Eutrophication is a major threat to aquatic ecosystems, because excessive nutrient enrichment may result in the loss of ecosystem services. Fjord systems are specifically under pressure due to nutrient input from land (agriculture) and sea (aquaculture). In this bioassay study, we have analyzed the effect of different nutrient sources, as well as their combination, on growth, nutrient composition and recruitment of habitat-forming and ephemeral macrophytes. We found that agricultural fertilizer increased growth for all algae (except Fucus), while the fish farm effluents mainly increased growth of Ulva. The C:N ratio was hardly affected by the fish farm, but decreased significantly in all algae when agriculture fertilizer was added. Most interestingly, however, distance to the fish farm modulated the algal response to the fertilizer. Our results demonstrate the importance of studying effects of multiple stressors in aquatic ecosystems to sustainably manage the consequences of anthropogenic impacts.
Show more [+] Less [-]Small-scale on-site treatment of fecal matter: comparison of treatments for resource recovery and sanitization Full text
2021
Kelova, Mariya Evgenieva | Ali, Aasim Musa Mohamed | Eich-Greatorex, Susanne | Dörsch, Peter | Kallenborn, Roland | Jenssen, Petter D.
Small-scale on-site treatment of fecal matter: comparison of treatments for resource recovery and sanitization Full text
2021
Kelova, Mariya Evgenieva | Ali, Aasim Musa Mohamed | Eich-Greatorex, Susanne | Dörsch, Peter | Kallenborn, Roland | Jenssen, Petter D.
publishedVersion | On-site small-scale sanitation is common in rural areas and areas without infrastructure, but the treatment of the collected fecal matter can be inefficient and is seldom directed to resource recovery. The aim of this study was to compare low-technology solutions such as composting and lactic acid fermentation (LAF) followed by vermicomposting in terms of treatment efficiency, potential human and environmental risks, and stabilization of the material for reuse in agriculture. A specific and novel focus of the study was the fate of native pharmaceutical compounds in the fecal matter. Composting, with and without the addition of biochar, was monitored by temperature and CO2 production and compared with LAF. All treatments were run at three different ambient temperatures (7, 20, and 38°C) and followed by vermicomposting at room temperature. Materials resulting from composting and LAF were analyzed for fecal indicators, physicochemical characteristics, and residues of ten commonly used pharmaceuticals and compared to the initial substrate. Vermicomposting was used as secondary treatment and assessed by enumeration of Escherichia coli, worm density, and physicochemical characteristics. Composting at 38°C induced the highest microbial activity and resulted in better stability of the treated material, higher N content, lower numbers of fecal indicators, and less pharmaceutical compounds as compared to LAF. Even though analysis of pH after LAF suggested incomplete fermentation, E. coli cell numbers were significantly lower in all LAF treatments compared to composting at 7°C, and some of the anionic pharmaceutical compounds were detected in lower concentrations. The addition of approximately 5 vol % biochar to the composting did not yield significant differences in measured parameters. Vermicomposting further stabilized the material, and the treatments previously composted at 7°C and 20°C had the highest worm density. These results suggest that in small-scale decentralized sanitary facilities, the ambient temperatures can significantly influence the treatment and the options for safe reuse of the material.
Show more [+] Less [-]Small-scale on-site treatment of fecal matter: comparison of treatments for resource recovery and sanitization Full text
2021
Kelova, Mariya Evgenieva | Ali, Aasim Musa Mohamed | Eich-Greatorex, Susanne | Dörsch, Peter | Kallenborn, Roland | Jenssen, Petter D.
On-site small-scale sanitation is common in rural areas and areas without infrastructure, but the treatment of the collected fecal matter can be inefficient and is seldom directed to resource recovery. The aim of this study was to compare low-technology solutions such as composting and lactic acid fermentation (LAF) followed by vermicomposting in terms of treatment efficiency, potential human and environmental risks, and stabilization of the material for reuse in agriculture. A specific and novel focus of the study was the fate of native pharmaceutical compounds in the fecal matter. Composting, with and without the addition of biochar, was monitored by temperature and CO2 production and compared with LAF. All treatments were run at three different ambient temperatures (7, 20, and 38°C) and followed by vermicomposting at room temperature. Materials resulting from composting and LAF were analyzed for fecal indicators, physicochemical characteristics, and residues of ten commonly used pharmaceuticals and compared to the initial substrate. Vermicomposting was used as secondary treatment and assessed by enumeration of Escherichia coli, worm density, and physicochemical characteristics. Composting at 38°C induced the highest microbial activity and resulted in better stability of the treated material, higher N content, lower numbers of fecal indicators, and less pharmaceutical compounds as compared to LAF. Even though analysis of pH after LAF suggested incomplete fermentation, E. coli cell numbers were significantly lower in all LAF treatments compared to composting at 7°C, and some of the anionic pharmaceutical compounds were detected in lower concentrations. The addition of approximately 5 vol % biochar to the composting did not yield significant differences in measured parameters. Vermicomposting further stabilized the material, and the treatments previously composted at 7°C and 20°C had the highest worm density. These results suggest that in small-scale decentralized sanitary facilities, the ambient temperatures can significantly influence the treatment and the options for safe reuse of the material. | publishedVersion
Show more [+] Less [-]Small-scale on-site treatment of fecal matter: comparison of treatments for resource recovery and sanitization [Erratum: December 2021, v.28(45), p.63965-63967] Full text
2021
On-site small-scale sanitation is common in rural areas and areas without infrastructure, but the treatment of the collected fecal matter can be inefficient and is seldom directed to resource recovery. The aim of this study was to compare low-technology solutions such as composting and lactic acid fermentation (LAF) followed by vermicomposting in terms of treatment efficiency, potential human and environmental risks, and stabilization of the material for reuse in agriculture. A specific and novel focus of the study was the fate of native pharmaceutical compounds in the fecal matter. Composting, with and without the addition of biochar, was monitored by temperature and CO₂ production and compared with LAF. All treatments were run at three different ambient temperatures (7, 20, and 38°C) and followed by vermicomposting at room temperature. Materials resulting from composting and LAF were analyzed for fecal indicators, physicochemical characteristics, and residues of ten commonly used pharmaceuticals and compared to the initial substrate. Vermicomposting was used as secondary treatment and assessed by enumeration of Escherichia coli, worm density, and physicochemical characteristics. Composting at 38°C induced the highest microbial activity and resulted in better stability of the treated material, higher N content, lower numbers of fecal indicators, and less pharmaceutical compounds as compared to LAF. Even though analysis of pH after LAF suggested incomplete fermentation, E. coli cell numbers were significantly lower in all LAF treatments compared to composting at 7°C, and some of the anionic pharmaceutical compounds were detected in lower concentrations. The addition of approximately 5 vol % biochar to the composting did not yield significant differences in measured parameters. Vermicomposting further stabilized the material, and the treatments previously composted at 7°C and 20°C had the highest worm density. These results suggest that in small-scale decentralized sanitary facilities, the ambient temperatures can significantly influence the treatment and the options for safe reuse of the material.
Show more [+] Less [-]Reliability-based design and implementation of crow search algorithm for longitudinal dispersion coefficient estimation in rivers Full text
2021
Ghaemi, Alireza | Zhian, Tahmineh | Pirzadeh, Bahareh | Hashemi Monfared, Seyedarman | Mosavi, Amir
Reliability-based design and implementation of crow search algorithm for longitudinal dispersion coefficient estimation in rivers Full text
2021
Ghaemi, Alireza | Zhian, Tahmineh | Pirzadeh, Bahareh | Hashemi Monfared, Seyedarman | Mosavi, Amir
publishedVersion
Show more [+] Less [-]Reliability-based design and implementation of crow search algorithm for longitudinal dispersion coefficient estimation in rivers Full text
2021
Ghaemi, Alireza | Zhian, Tahmineh | Pirzadeh, Bahareh | Hashemi Monfared, Seyedarman | Mosavi, Amir
The longitudinal dispersion coefficient (LDC) of river pollutants is considered as one of the prominent water quality parameters. In this regard, numerous research studies have been conducted in recent years, and various equations have been extracted based on hydrodynamic and geometric elements. LDC’s estimated values obtained using different equations reveal a significant uncertainty due to this phenomenon’s complexity. In the present study, the crow search algorithm (CSA) is applied to increase the equation’s precision by employing evolutionary polynomial regression (EPR) to model an extensive amount of geometrical and hydraulic data. The results indicate that the CSA improves the performance of EPR in terms of R² (0.8), Willmott’s index of agreement (0.93), Nash–Sutcliffe efficiency (0.77), and overall index (0.84). In addition, the reliability analysis of the proposed equation (i.e., CSA) reduced the failure probability (Pf) when the value of the failure state containing 50 to 600 m²/s is increasing for the Pf determination using the Monte Carlo simulation. The best-fitted function for correct failure probability prediction was the power with R² = 0.98 compared with linear and exponential functions.
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