Organically Bound Tritium Concentrations Research Articles

Assessing the variability of tissue-free water tritium and non-exchangeable organically bound tritium in pine needles in Fukushima using atmospheric titrated water vapor

When conducting environmental tritium monitoring at nuclear and fusion facilities, it is important to understand how tritium concentrations vary within the soil-plant-atmosphere continuum. Past measurements of organically bound tritium (OBT) concentrations have been conducted from the standpoint of ascertaining the persistence of tritium in terrestrial vegetation, and it has been reported that OBT concentrations fluctuate depending on the influence of atmospheric sources and meteorological conditions. The present study provides information on the variability of tritium concentrations in vegetation growing close to atmospheric sources of tritiated water (HTO) in Japan. We conducted measurements of tissue-free water tritium (TFWT) and non-exchangeable OBT (NE-OBT) in pine needles collected from locations near the Tokyo Electric Power Company's Fukushima Daiichi Nuclear Power Plant from 2018 to 2021. The results we obtained indicate that TFWT concentrations fluctuate in response to short-term changes in atmospheric HTO vapor concentrations and that NE-OBT concentrations vary primarily in response to the time-averaged TFWT concentration during the pine needle growing season, which is in turn mainly determined by atmospheric HTO vapor concentrations. Although it is difficult to ascertain the time-averaged TFWT concentration during the growing season by measuring plant materials, our results show that the measurement of atmospheric HTO vapor concentrations provides an effective alternative method of doing this. We believe our findings can lead to better understanding of the potential impact on the terrestrial environment associated with the atmospheric discharge of HTO and can contribute to improving the strategy of environmental tritium monitoring.

Distribution of tritium concentration in the 0–25 cm surface soil of cultivated and uncultivated soil around the Qinshan nuclear power plant in China

In this study, tritiated water (HTO) and organically bound tritium (OBT) activity concentration at different depth soil layers (0–5 cm, 5–10 cm, 10–15 cm, 15–20 cm, and 20–25 cm) were measured in uncultivated and cultivated soil samples collected in the vicinity of the Qinshan nuclear power plant (QNPP) in July, September, and December 2018. The concentration difference, the spatial and temporal distribution, the seasonal variation, and the OBT/HTO ratios were investigated. The average ratios of HTO concentration between uncultivated and cultivated soil moisture were 1.20 ± 0.24, 1.39 ± 0.46 and 0.95 ± 0.14 in July, September and December, respectively, the corresponding values for OBT were 1.17 ± 0.31, 1.22 ± 0.49 and 1.08 ± 0.28. In generally, the highest HTO concentration in uncultivated soil was found for the topsoil (0–5 cm) in July and September and for the deeper soil layer (20–25 cm) in December, while for cultivated soil, the highest levels were found for the middle layer soil in July, for the topsoil (0–5 cm) in September, and for the deeper layer soil (20–25 cm) in December. Both soils, the vertical profile distribution of OBT concentration showed no consistent tendency, and there were no significant differences in the HTO and OBT concentrations between different soil layers, except for the highest concentration. Whether uncultivated soil or cultivated soil, HTO activity concentrations showed an apparent spatial distribution and seasonal variability, decreasing with the distance to the release sources and with sampling time, while OBT concentrations showed lower spatial and seasonal variability than HTO. In most cases, the OBT/HTO ratios were less than 1, with average values of 1.01 ± 0.48 and 1.06 ± 0.86 for cultivated soil and cultivated soil samples, respectively. The results of this work suggest that farming may affect tritium behavior in soil, while the spatial and temporal distribution of tritium is only slightly impacted.

Spatial and temporal variation of tritium concentrations during a dam flushing operation

Tritium is a radionuclide commonly observed worldwide in riverine systems. In the Rhône River downstream the Lake Geneva (Switzerland and France), its occurrence is also related to its use for its luminescent properties in watchmaking paints. In fact, tritium is regularly observed at anomalous levels in this river and extreme events such as flushing operations might conduct to its transport downstream. In the Rhône River, characterized by 21 dams downstream the Geneva Lake, such operations are regularly organized to remove the sediments and limit problematic consequences such as siltation and increased flooding hazards. The consequences of dam flushing operations on tritium concentrations were thus investigated. Samples of Suspended Particulate Matter (SPM) and water were collected in the Rhone River downstream of Geneva in June 2012, during a planned flushing operation of three upstream reservoirs (Verbois, Chancy-Pougny and Génissiat). The concentrations of tritiated water (HTO) and organically bound Tritium (OBT) were measured and compared to reference concentrations. The flushing operations had no impact on the HTO concentration while the increases observed were related to the authorized releases of HTO from a nuclear power plant located downstream the dams. High increases of OBT concentrations in SPM were observed at two stations (Creys-Malville and Jons) without clear spatial or temporal trends. These anomalous peaks could be explained by the heterogeneous spatial distribution of technogenic tritium leading to large variations of tritium concentrations within the samples even though collected in areas close to each other. The results highlight the need to investigate the amount of such technogenic tritium currently stored in the upstream Rhone River as it might be significant.

Distribution of organically bound tritium (OBT) activity concentrations in aquatic biota from eastern Canada

A survey of eastern Canadian biota was conducted to determine the distribution of activity concentrations of organically bound tritium (OBT). Fish samples were collected from Lake Ontario and the St. Lawrence River in areas continuously receiving inputs of tritiated water (HTO) from operating nuclear power plants, and from Lake Nipissing, a background area. Components of their aquatic environments were sampled. The data collected also provides some insight on how tritium activity concentrations in ambient water influence tissue free water tritium (TFWT) and OBT activity concentrations in biological tissues.Using an ALOKA liquid scintillation system, fish TFWT and OBT were quantified. Fish TFWT averaged 1.6 ± 0.1 Bq/L in Lake Nipissing and 3.1 ± 0.3 Bq/L in Lake Ontario. In contrast, TFWT ranged from 11.1 to 80.8 Bq/L in the St. Lawrence River near the Gentilly-2 Canada Deuterium Uranium (CANDU) site. Fish tissue OBT levels were 4.0 ± 0.4 Bq/L and 5.3 ± 0.2 Bq/L for Lake Nipissing and Lake Ontario, respectively, and between 18.1 and 134.2 Bq/L for CANDU sites.The activity concentrations of TFWT and OBT were reviewed for algae, freshwater mussel and various fish samples collected near Gentilly-2, Pickering and Darlington Nuclear Power Generating Stations. TFWT in aquatic biota was found to correlate with the tritium activity concentrations measured in waters at the time of sampling (TFWT/HTO of ambient water was 0.3–4.3). The OBT concentration factors (OBT/HTO of ambient water) were found to be higher in freshwater mussels (between 17 and 47) compared to algae and fish (0.3–10). These results point to a heterogeneous distribution of biota OBT content in these aquatic ecosystems. It was also noted that all fish and algae samples were found to be within the range of tritium activity concentrations that has been historically measured in the same waters. Values in freshwater mussels were above this range.

Organically bound tritium (OBT) and carbon-14 accumulation in the sediments off the mouth of the Rhône river

We have studied the recent history of organically bound tritium (OBT) and carbon-14 in suspended organic matter carried by the Rhone from the analysis of two cores collected in the sedimentary cone off the river mouth. Measured OBT and carbon-14 concentrations highlight characteristic anthropogenic traces in the suspended matter of the Rhone, with a peak of tritium and carbon-14 commencing at the start of the 1970s and extending over some 30 years. In spite of the influence of the atmospheric nuclear tests of the 1950s and 1960s, and of the discharges of carbon-14 by the nuclear industries located along the Rhone, carbon-14 levels are low due to the diluting effect of a refractory carbon component very low in carbon-14 present in the coastal sediments. OBT levels are well above the modern background created by the global imprint of bomb-tritium. Detailed study of the impact of the various contribution to the tritium peak indicates that these traces are mostly the result of the sediments in the Rhone being contaminated by past tritium releases by the watchmaking industry in the upper Rhone.

Tritium concentration in soybean plants exposed to atmospheric HTO during nighttime and daytime

Potted soybean plants were exposed to evaporate HTO for 1 h inside an exposure box at two different growth stage (flowering and podding stage, filling stage) during nighttime and daytime. The concentration of tissue-free water tritium (TFWT) and organically bound tritium (OBT) in leaves and beans was measured at the end of the exposure. The results indicated that the quasi-equilibrium between the TFWT concentrations in the soybean leaves and the HTO concentration of the ambient air moisture required more than 1 h to be reached. The relative TFWT concentrations in the nighttime represent about 1/2 to 2/3 of the concentrations obtained in the day in the leaves compared to about 1/2 to 4/3 in the beans. The relative OBT concentrations under night conditions were about 2/5 to 1/2 of those under day conditions in the leaves, contrary to 1/2–7/10 for the beans. By developing tritium concentration assessment model with a short-term release of atmospheric HTO, we comprehensively considered the plant growth stage and the environmental conditions.

FWT and OBT concentrations in pine needle samples collected at Toki, Japan (1998-2012).

Free water tritium (FWT) and organically bound tritium (OBT) concentrations in pine needles have been investigated to understand the regional background tritium concentration in Toki City. Samples were regularly collected from pine trees on the National Institute for Fusion Science campus (1998-2012) and the nearby Shiomi Park (SP; 2002-12). FWT and OBT concentrations of the former samples ranged from 0.33 to 0.92 and 0.41 to 1.10 Bq l(-1), respectively, while those of the latter samples ranged from 0.32 to 0.86 and 0.33 to 0.79 Bq l(-1), respectively. Results of both sampling sites were almost the same, and they have been gradually decreased year by year. Concentration level of tritium for Toki City was close to the average background level in Japan. The OBT/FWT ratios were almost 1.0. The apparent half-life of FWT in this period was estimated as almost 10 y, and that of OBT was estimated as almost 12 y; these values were almost the same as the physical half-life.

Organically Bound Tritium Analysis in Environmental Samples

Many methods allow analysing the various forms of tritium in environmental samples; however, there are no published standard methods for measuring organically bound tritium (OBT). Furthermore, there are no certified reference materials of OBT for environmental samples. In environmental samples (plants and animals), the measurement of the various tritium fractions requires extraction of the free water, often through freeze drying processes. Combustion of the dry sample is then carried out to recover organically bound tritium in the combustion water. By measuring these water fractions, the tissue-free water tritium (TFWT) and the OBT concentration can be assessed. However, these techniques are tricky and sometimes not available in all monitoring labs. Indeed, most of them measure only the TFWT fraction in food samples, such as wine or milk. Researches to promote the use of validated procedures are on-going in several countries. However, for almost all comparison exercise organisers it is difficult on a yearly basis to provide the samples and to realise the statistical treatment of the results. Therefore, to improve OBT analytical skills, an international task group devoted to the improvement of OBT analytical procedures was created to overcome these limitations. For the first exercise about 20 labs from 8 countries were registered. The samples, specially-prepared potatoes, were provided in March 2013 to each participant. Technical information and results from this first exercise are discussed here for all the labs which have realised the five replicates necessary to allow a reliable statistical treatment. From this work an optimised procedure can start to be developed to deal with OBT analysis and will guide subsequent planned OBT trials by the international group.

Levels of tritium in soils and vegetation near Canadian nuclear facilities releasing tritium to the atmosphere: implications for environmental models

Concentrations of organically bound tritium (OBT) and tritiated water (HTO) were measured over two growing seasons in vegetation and soil samples obtained in the vicinity of four nuclear facilities and two background locations in Canada. At the background locations, with few exceptions, OBT concentrations were higher than HTO concentrations: OBT/HTO ratios in vegetation varied between 0.3 and 20 and values in soil varied between 2.7 and 15. In the vicinity of the four nuclear facilities OBT/HTO ratios in vegetation and soils deviated from the expected mean value of 0.7, which is used as a default value in environmental transfer models. Ratios of the OBT activity concentration in plants ([OBT]plant) to the OBT activity concentration in soils ([OBT]soil) appear to be a good indicator of the long-term behaviour of tritium in soil and vegetation. In general, OBT activity concentrations in soils were nearly equal to OBT activity concentrations in plants in the vicinity of the two nuclear power plants. [OBT]plant/[OBT]soil ratios considerably below unity observed at one nuclear processing facility represents historically higher levels of tritium in the environment. The results of our study reflect the dynamic nature of HTO retention and OBT formation in vegetation and soil during the growing season. Our data support the mounting evidence suggesting that some parameters used in environmental transfer models approved for regulatory assessments should be revisited to better account for the behavior of HTO and OBT in the environment and to ensure that modelled estimates (e.g., plant OBT) are appropriately conservative.

Organically Bound Tritium (OBT) in Soil at Different Depths Around Chalk River Laboratories (CRL), Canada

Atomic Energy of Canada Limited (AECL) Chalk River Laboratories (CRL) is a large nuclear research and test establishment with nuclear and non-nuclear facilities located in Chalk River, Ontario. The CRL Environmental Monitoring Program is designed to demonstrate that radiological exposure resulting from releases from the CRL site remain below the public dose limit specified in the regulations (1 mSv/year). This study was conducted to consolidate environmental effects following a continuous atmospheric tritium release observed at CRL. Soil samples were collected at depths of up to 20 cm using soil probes at the CRL site and surrounding areas. The samples were sectioned at 5 cm intervals, and HTO and OBT concentrations were measured in the samples. Prevailing winds at CRL are from NW and SE, which was suggested to be in close relationship with tritium distribution in environmental samples such as soils and plant leaves. The HTO concentration was the highest in surface soil water and plant leaves at a given sampling point. This result suggests that the concentration of tritium in surface soil water and in plants tissue free water essentially reflects the surrounding atmospheric tritium concentration. OBT concentrations in soil were measured at the historical HT release site, Plant Road, Mattawa Road and three background sites near CRL. The top layer of soil generally had the highest OBT concentration among collected soil samples. This result suggests that OBT concentrations are different from HTO concentrations at the same site and can be representative of previously released environmental tritium at the sampling point. The relationship between the OBT concentration in soil and the amount of tritium released into the environment will be useful for the evaluation of environmental tritium effects and the fate of tritium in the terrestrial ecosystem. The study points out that HTO shows shorter-term dynamic conditions, whereas OBT shows longer-term steady-state conditions.

Observed and Modelled Tritium in the Wetland Ecosystem in Duke Swamp near a Nuclear Waste Management Area

The high mobility of tritium as HTO implies that, under steady-state conditions, the T/H ratio (or equivalently the HTO concentration) is the same in all water compartments of the environment. This is the basis of the specific activity (SA) model, which underlies almost all environmental tritium models. SA concepts apply to organically bound tritium (OBT) as well, since the OBT formed by a given plant process at a given time has a T/H ratio that reflects the ratio in the water that enters into that process. There is no empirical evidence that the bioaccumulation of tritium in aquatic and wetland plants will occur. OBT/HTO ratios less than one is consistently found in the laboratory where the HTO concentrations to which the plants are exposed can be held constant. These data suggest a value of 0.7 for the OBT/HTO ratio under equilibrium conditions in the laboratory. Theoretical considerations suggest that the value of the OBT/HTO ratio in plants is significantly different from one and, in most cases, greater than one. This is primarily due to the much longer residence time of OBT in plants as compared to HTO. The observed HTO concentrations are much higher than OBT concentrations, which makes OBT/HTO ratio smaller than unit in contrast with SA based expectations. In addition to this, the IMPACT model overpredicted HTO and OBT concentrations in plants and animals by a factor of 3 or 4, on average. This work is summary of the AECL funded research project (1).

Measured and modelled tritium concentrations in freshwater Barnes mussels ( Elliptio complanata) exposed to an abrupt increase in ambient tritium levels

To improve understanding of environmental tritium behaviour, the International Atomic Energy Agency (IAEA) included a Tritium and C-14 Working Group (WG) in its EMRAS (Environmental Modelling for Radiation Safety) program. One scenario considered by the WG involved the prediction of time-dependent tritium concentrations in freshwater mussels that were subjected to an abrupt increase in ambient tritium levels. The experimental data used in the scenario were obtained from a study in which freshwater Barnes mussels ( Elliptio complanata) were transplanted from an area with background tritium concentrations to a small Canadian Shield lake that contains elevated tritium. The mussels were then sampled over 88 days, and concentrations of free-water tritium (HTO) and organically-bound tritium (OBT) were measured in the soft tissues to follow the build-up of tritium in the mussels over time. The HTO concentration in the mussels reached steady state with the concentration in lake water within one or two hours. Most models predicted a longer time (up to a few days) to equilibrium. All models under-predicted the OBT concentration in the mussels one hour after transplantation, but over-predicted the rate of OBT formation over the next 24 h. Subsequent dynamics were not well modelled, although all participants predicted OBT concentrations that were within a factor of three of the observation at the end of the study period. The concentration at the final time point was over-predicted by all but one of the models. The relatively low observed concentration at this time was likely due to the loss of OBT by mussels during reproduction.

Organically bound tritium (OBT) for various plants in the vicinity of a continuous atmospheric tritium release

In order to quantify tritium impact on the environmental, we studied vegetation continuously exposed to a tritiated atmosphere. We chose lichens as bio-indicators, trees for determination of past tritium releases of the Valduc Centre, and lettuce as edible vegetables for dose calculation regarding neighbourhood. The Pasquill and Doury models from the literature were tested to estimate tritium concentration in the air around vegetable for distance from the release point less than 500 m. The results in tree rings show that organically bound tritium (OBT) concentration was strongly correlated with tritium releases. Using the GASCON model, the modelled variation of OBT concentration with distance was correlated with the measurements. Although lichens are recognized as bio-indicators, our experiments show that they were not convenient for environmental surveys because their age is not definitive. Thus, tritium integration time cannot be precisely determined. Furthermore, their biological metabolism is not well known and tritium concentration appears to be largely dependent on species. An average conversion rate of HTO to OBT was determined for lettuce of about 0.20–0.24% h −1. Nevertheless, even if it is equivalent to values already published in the literature for other vegetation, we have shown that this conversion rate, established by weekly samples, varies by a factor of 10 during the different stages of lettuce development, and that its variation is linked to the biomass derivative.

HTO and OBT Concentrations in a Wetland Ecosystem

Tritiated water (HTO) and organically bound tritium (OBT) concentrations in the non-human biota inhabiting Duke Swamp were measured during the 2005 growing season. Samples of surface water, soil, plants, precipitation, wild animals and air moisture were collected from 2005 May to October at five locations in the swamp and analyzed for their tritium content. HTO concentrations in air moisture decreased with height since the tritium source is in the ground. Soil HTO concentrations were not closely related to the concentrations in nearby surface water and the HTO concentration in balsam fir needles showed no clear pattern with height. HTO concentrations in moss, grass and alder leaves decreased in September, which is the time when metabolic activity is reduced. OBT concentrations in a given compartment showed less variation than the HTO concentrations in that compartment. The OBT/HTO ratio was approximately one for soil and less than one for plants, with the exception of lichen. The OBT/HTO ratio in most wild animals was also less than one, but increased to more than 2.0 for mice. Although the tritium concentrations varied substantially in space and time in Duke Swamp, the fact that OBT/HTO <1 for most compartments suggests that equilibrium conditions hold locally.

Experimental Investigation of Buried Tritium in Plant and Animal Tissues

Buried exchangeable tritium appears as part of organically bound tritium (OBT) in the traditional experimental determination of OBT. Since buried tritium quickly exchanges with hydrogen atoms in the body following ingestion, assuming that it is part of OBT rather than part of tritiated water (HTO) could result in a significant overestimate of the ingestion dose. This paper documents an experimental investigation into the existence, amount and significance of buried tritium in plant and fish samples. OBT concentrations in the samples were determined in the traditional way and also following denaturing with five chemical solutions that break down large molecules and expose buried tritium to exchange with free hydrogen atoms. A comparison of the OBT concentrations before and after denaturing, together with the concentration of HTO in the supernatant obtained after denaturing, suggests that buried OBT may exist but makes up less than 5% of the OBT concentration in plants and at most 20% of the OBT concentration in fish. The effects of rinse time and rinse water volumes were investigated to optimize the removal of exchangeable OBT from the samples.

PREDICTION OF TRITIUM LEVEL IN AGRICULTURAL PLANTS AFTER SHORT TERM EXPOSURE TO HTO VAPOR AND ITS COMPARISON WITH EXPERIMENTAL RESULTS

This paper describes a dynamic compartment model for evaluating the tritium level in agricultural plants after a short-term exposure to HTO vapor and its comparison with experimental results to test the predictive accuracy of the model. The model uses a time-dependent growth equation of a plant so that it can predict the contamination level of tritium depending on the stage of the growth of the plant, which is a major difference from some other compartment models using a constant crop yield. The model is able to calculate the time variable concentrations of the compartments representing the atmosphere, soil, and plants of four categories including leafy vegetables, root vegetables, grains, and tuber plants. Experimental results include the tissue free water tritium (TFWT) and the organically bound tritium (OBT) concentration of rice, soybean, cabbage, and radish exposed to HTO vapor for 1 h in the daytime at different growth stages. The model predictions showed that the model could simulate well not only the time-dependent tritium concentration of the plants but also the effect of the growth stage of the plant at the exposure time. Comparison of the model predictions with the experimental results suggested that the model could predict reasonably well the observed TFWT and OBT concentrations of the plants considered.

Conversion Rate of HTO to OBT in Plants

ABSTRACTThe conversion rate of tritiated water (HTO) in plants’ leaves to organically bound tritium (OBT) in their edible parts in the open air was obtained for several vegetables (komatsuna, radish and cherry tomato) during a chronic tritiated hydrogen (HT) release experiment at Chalk River in 1994. During the experiment, HT gas was continuously released to the atmosphere at the cultivated site for 12 days, and HTO and OBT concentrations in cultivated plants were measured. For plants’ leaves, the conversion rate of HTO to OBT was about 0.2 (% hr−1), but it varied with their growth stage. A chamber experiment was also carried out in laboratory for comparison. The chamber experiment results showed that the conversion rate under artificial lights was half that in the field experiment.

Incorporation into organically bound tritium and the underground distribution of HTO applied to a simulated rice field

In order to study the incorporation into organically bound tritium (OBT) of HTO deposited onto a paddy field during the growing season of rice, a solution of HTO was applied to the water surface of the culture box in a greenhouse 1 d before, and at 5 different times after, transplanting rice seedlings. The OBT concentration in the mature plant varied with the application time by factors of 5–25 depending on plant parts. Soil-to-plant transfer factors (m 2 kg −1-dry) of HTO for OBT in straw and hulled seed were in the ranges 4.0×10 −5 – 2.1×10 −4 and 1.3×10 −5 – 3.3×10 −4, respectively. The highest was achieved at the application time when each part grew most actively. Mixing HTO with the topsoil tended to increase OBT production. The HTO concentration in percolating water reached its maximum 10–25 d after each application and then decreased slowly. The fractions of applied HTO that were leached out of the boxes were 8.0–28.4% depending on application times. One week after harvest, the depth profile of HTO in the top 30 cm of soil was investigated showing that less than 4% of applied HTO remained there. It was estimated that 70–90% of applied HTO escaped to the air via evapotranspiration.

Variation of tritium concentration in the course of the degradation of fresh pine needles on a forest floor

Variation of tritium concentration was examined for 100 days in the course of degradation of fresh pine needles, which were left on a pine forest floor. No difference was observed on free water tritium (FWT) and organically bound tritium (OBT) concentrations of sterilized samples by gamma-ray irradiation or fumigation and control samples, attributable to incomplete sterilization. The OBT concentrations did not increase within the experimental period as the level of humus collected from the forest floor. The results suggest that a longer degradation time, more than 100 days, is necessary to elevate OBT up to the level, which is observed in the general environment.

Formation of Organically Bound Tritium in Plants during the 1994 Chronic HT Release Experiment at Chalk River

Trace amounts of elemental tritium (HT) were released continuously to the surface atmosphere at a site at Chalk River Laboratories, Canada over the 12-day period 1994 July 27 to August 8. The test area consisted of four agricultural plots, each 5 m square. One plot was left in its natural state, and the other three were cultivated. Cherry tomatoes, radishes and edible Chinese mustard (Komatsuna in Japanese) were grown in the three cultivated fields. After the HT gas reached the surface of the field, some portion of it was converted into the water form (HTO) mainly by microorganisms in the soil. Then, plant absorbs HTO from both soil and air. Photo synthesized organic material in plant contains tritium,also. The main purpose of this research is to analyze the variation with time of tissue free-water tritium (TFWT) and organically bound tritium (OBT) in several plant species during the HT release. The specific activity of HTO in plants increased rapidly after the HT exposure. The HTO concentration in plant leaves almost attained its maximum value in about 10 days, even though there were several precipitation events, which decreased the soil HTO concentration. The specific activity of OBT in plants increased gradually after the start of the exposure. The OBT concentration in plants did not attain steady state over the whole exposure period of 12 days. The OBT/HTO ratio in plants increased gradually during the release. The ratio in Komatsuna leaves changed from 0.06 to 0.24 between 2 and 11 days. The production rates of OBT in plants are fitted to numerical equations.