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Article

A Predictive Model for the Bioaccumulation of Okadaic Acid in Mytilus galloprovincialis Farmed in the Northern Adriatic Sea: A Tool to Reduce Product Losses and Improve Mussel Farming Sustainability

1
Consiglio per la Ricerca in Agricoltura e l’Analisi dell’Economia Agraria, Centro di Ricerca Zootecnia e Acquacoltura, Via Salaria 31, 00015 Monterotondo, Italy
2
Istituto Zooprofilattico Sperimentale Delle Venezie, Viale dell’Università 10, 35020 Legnaro, Italy
3
ColomboSky S.r.l., Via Giacomo Peroni 442/444, 00131 Roma, Italy
*
Author to whom correspondence should be addressed.
Sustainability 2023, 15(11), 8608; https://doi.org/10.3390/su15118608
Submission received: 30 March 2023 / Revised: 20 May 2023 / Accepted: 22 May 2023 / Published: 25 May 2023
(This article belongs to the Special Issue New Trends and Perspectives in Sustainable Aquaculture)

Abstract

:
Over the last decades, harmful dinoflagellate (Dinophysis spp.) blooms have increased in frequency, duration, and severity in the Mediterranean Sea. Farmed bivalves, by ingesting large amounts of phytoplankton, can become unsafe for human consumption due to the bioaccumulation of okadaic acid (OA), causing Diarrhetic Shellfish Poisoning (DSP). Whenever the OA concentration in shellfish farmed in a specific area exceeds the established legal limit (160 μg·kg−1 of OA equivalents), harvesting activities are compulsorily suspended. This study aimed at developing a machine learning (ML) predictive model for OA bioaccumulation in Mediterranean mussels (Mytilus galloprovincialis) farmed in the coastal area off the Po River Delta (Veneto, Italy), based on oceanographic data measured through remote sensing and data deriving from the monitoring activities performed by official veterinarian authorities to verify the bioaccumulation of OA in the shellfish production sites. LightGBM was used as an ML algorithm. The results of the classification algorithm on the test set showed an accuracy of 82%. Further analyses showed that false negatives were mainly associated with relatively low levels of toxins (<100 μg·kg−1), since the algorithm tended to classify low concentrations of OA as negative samples, while true positives had higher mean values of toxins (139 μg·kg−1). The results of the model could be used to build up an online early warning system made available to shellfish farmers of the study area, aimed at increasing the economic and environmental sustainability of these production activities and reducing the risk of massive product losses.

1. Introduction

Over the last two decades, Harmful Algal Blooms (HABs) have increased in frequency, duration, and severity worldwide due to coastal eutrophication caused by the growing human population and the consequent rise in rates of coastal urbanisation, industrialisation, and intensification of agriculture. This phenomenon is expected to intensify in the coming years due to the effects of climate change [1,2,3,4]. Some species of harmful algae, such as dinoflagellates, which benefit from water column stratification and from the increased nutrient concentration due to land runoff, could become even more successful and their seasonal window of growth could expand, with earlier timing of peaks of abundance [3]. The definition of HAB is not strictly scientific, but social: blooms fit the HAB criterion whether they have an adverse effect on human health, socio-economic interests, or on aquatic ecosystems.
Among phytoplanktonic groups, dinoflagellates stand out for their morphological diversity, adaptive radiation in colonising the diverse habitats found in the sea, and species richness, with approximately 2000 species recognised. About 10% of dinoflagellate species are associated with toxic blooms or benign red tides. Of these, approximately 3% (ca. 60 species) are reported to be harmful due to the production of okadaic acid (OA) and other toxic compounds, whereas about 130 species can lead to the onset of massive red tides, with related and serious anoxic events in the upper layers of the sea [5].
Bivalve molluscs, by ingesting large amounts of phytoplankton during HABs, could become unsafe for human consumption [6,7]. Phytoplanktonic dinoflagellates of the cosmopolitan genus Dinophysis occur in various coastal waters [8], including those of the Adriatic Sea [9]. Several Dinophysis species produce diarrhoetic toxins (OA and dinophysistoxins) and pectenotoxins, causing a gastrointestinal illness known as Diarrhetic Shellfish Poisoning (DSP), even at low cell densities (<100 cells·L−1) [10]. Although the exact function of OA in some Dinophysis species is not entirely clear, it is likely produced as a chemical defence mechanism to protect these dinoflagellates from predation by zooplankton and other organisms [11].
The Mediterranean mussel (Mytilus galloprovincialis L. 1819) farming areas along the Italian coasts of the northern Adriatic Sea have experienced recurrent DSP events since 1989 (Slovenian coast of the Gulf of Trieste) [9,12], particularly frequently in the marine area facing the Po River Delta (Veneto, Italy) [13]. This coastal area is characterised by the highest production of bivalve molluscs (mussels and clams) of the eastern Mediterranean, with more than 56,000 tons in 2021 (60% mussel, 40% clam—Italian Aquaculture Data Collection, Reg. EC 762/2008) thanks to the optimal environmental conditions favouring the growth of bivalves.
In these areas, several Dinophysis species were found to be involved in the occurrence of DSP, with higher abundances registered from May to October and peaks in early summer and autumn [14,15]. Several studies showed a marked species succession during this period [16,17]: in general, Dinophysis sacculus is a late-spring species, peaking in June, followed by Dinophysis caudata in early autumn and Dinophysis fortii in October–November. Blooms of toxic Dinophysis species (such as Dinophysis acuminata, D. sacculus, D. fortii, Dinophysis rotundata, and D. caudata) are of particular concern for shellfish farmers because bivalves may accumulate enough toxins to become acutely harmful even at low densities (from 10 to 200 cells·L−1) [18,19,20,21].
According to the observed trends, the impact of Dinophysis’ blooms is expected to increase in the future, together with the even more increasing use of marine coastal waters for multiple human activities (i.e., tourism, fisheries and aquaculture, gas extraction, navigation, etc.).
To protect human health, the European Union implemented mandatory monitoring of classified shellfish production areas on a weekly basis (EU Commission, 2019). Whenever the OA concentration in shellfish exceeds the established legal limit (equal to 160 μg·kg−1 of OA equivalents, EU Council, 2004), shellfish harvesting activities are compulsorily suspended and the product already collected is seized and dumped.
Therefore, mitigation of such a phenomenon should prioritise applied research on the development of early warning systems designed to avoid economic losses for farmers and to optimise the use of resources for monitoring programs.
To the best of our knowledge, the available studies that tried to predict Dinophysis blooms by correlating environmental (e.g., temperature, salinity, density, tidal velocity, wind speed and direction, dissolved oxygen, and nutrient content) [22] or biological parameters (e.g., availability of Dinophysis spp. preys, such as Mesodinium spp.) [23] to Dinophysis spp. abundance failed in finding linear relationships and significant temporal correlations, due to the unique ecological behaviour (i.e., mixotrophy) of this dinoflagellate [24,25]. On the contrary, Hattenrath-Lehmann et al. [18] found a positive correlation for D. acuminata between its abundance and toxin content with ammonium.
Since these ecological relationships are very complex, Velo-Suárez and Gutiérrez-Estrada [19] successfully applied an Artificial Neural Network (ANN) modelling approach to forecast D. acuminata blooms in western Andalucía (Spain) using cell concentrations data. Recently, in the coastal waters of the NW Adriatic Sea, a mathematical model obtained promising results in predicting the presence of a different species of toxic dinoflagellate (Alexandrium minutum) using a Random Forest trained with molecular data of A. minutum occurrence obtained using molecular PCR assay [20].
The present study aimed at developing a machine learning (ML) predictive model for OA bioaccumulation in farmed Mediterranean mussel (M. galloprovincialis) in the coastal area off the Po River Delta (Veneto, Italy) based on oceanographic data measured through remote sensing and data derived from the official monitoring activities to predict the bioaccumulation of OA in farmed shellfish. While a precise threshold level does exist for OA bioaccumulation in bivalve mussels (Reg. (EC) 627/19 and updates), there is not a scientifically established abundance level of harmful cells during algal blooms, since Dinophysis species may be toxic even at very low concentrations [17,18,19,20]. For this reason, to the best of our knowledge, this is the first study focused on data analysis of OA bioaccumulation in mussels, rather than on those of abundance of OA-producing species.
Although the performance of such a model can be improved by adding new and more detailed data, the promising results of this study could be used to develop an online early warning system able to promptly alert shellfish farmers to the chance of OA bioaccumulation events in the farming areas. The potential of this tool would give farmers the possibility to better manage farming activities, not only reducing losses in terms of harvested bivalve biomass and economic shortages but also improving the environmental sustainability of the mussel farming sector. In the last year, in fact, due to the increase in the frequency and severity of HAB events, mussel farms in the northern Adriatic Sea have been forced to close and keep the product alive in the farms, without being able to sell it. This has often resulted in increased running costs and greenhouse gas emissions.

2. Materials and Methods

Data on OA bioaccumulation in Mediterranean mussels’ (M. galloprovincialis) flesh derived from the official monitoring activities carried out by the local veterinary services according to the Reg. (EC) 627/19 from 2016 to 2020 in the offshore production sites located in the marine environment off the Po River Delta. This is one of the most important areas for the production of M. galloprovincialis in the north-eastern Mediterranean, with a mean production of about 8050 tons from 2018 to 2021 (Aquaculture Data Collection, Reg. (EC) 762/2008). Offshore sampling stations (N = 167) were selected as those with the highest satellite coverage (Figure 1). The dataset consisted of 1486 observations, distributed per year as reported in Table 1. The number of observations available in 2020 was noticeably lower than that in previous years since sampling activities were performed based on the production areas instead of the single farm (a classified production area may include several farms), as required by the legislation in force (Reg. (EC) 627/19 and updates). The reference analytical method for the detection of OA and all the lipophilic toxins for the purposes of official controls at any stage in the food chain is the EU-RL (European Union Reference Laboratory on marine biotoxins) LC-MS/MS (liquid chromatography-mass spectrometry) (Reg. (EU) No 15/2011 and updates). According to the legal limit set by Reg. (EC) No 853/2004, 74 positive samples were detected in the dataset (>160 μg·kg−1 of OA equivalents). Since the goal of the study was to predict OA bioaccumulation in mussels, and due to the limited number of positive samples, data were classified according to a binary system as follows: class “1” for samples with a toxin content above the limit of quantification (LOQ) of the analytical method (LOQ = 40 μg·kg−1 of OA equivalents), class “0” for samples with a toxin value below the LOQ (Table 1). Data were divided into (1) a training set, consisting of 1057 samples, collected before 2019 (of which 155 classified as class “1”); (2) a test set, consisting of 429 samples, collected after 2019 (of which 89 classified as class “1”).
A total of 15 physical and chemical parameters measured during the 45 days prior to each mussel sampling were associated with each OA quantification essay. The time window was chosen to be as wide as possible to cover the entire temporal development of a Dinophysis spp. bloom and the consequent bioaccumulation of OA in the mussel flesh, according to the available literature [22,23]. Parameters were selected according to their reasonable causal correlation with Dinophysis spp. blooms, and were: chlorophyll concentration ([Chl], mg·m−3); Dinophyta contribution to total [Chl] (mg·m−3), calculated according to [26]; wind speed, split into eastern and northern components of wind direction (m·s−1); thickness of water column mixed layer (m); NH4 concentration ([NH4], mol·L−1); NO3 concentration ([NO3], mmol⋅m−3); dissolved O2 concentration ([O2], mol·L−1); PO4 concentration ([PO4], mmol·m−3); NO3/PO4 ratio; daily precipitations (mm·day−1); salinity (PSU); surface water temperature (°C); eastern and northern components of sea current (m·s−1); wind pressure on the sea surface (Pa); and solar radiation (Wh·m−2). Data were extracted from satellite observations (https://data.marine.copernicus.eu/products, accessed on 29 March 2023) and, where necessary to increase resolution or estimate missing data, were combined with a custom oceanographic model (AQUAX, ColomboSky, Rome, Italy). Daily precipitations and solar radiation were obtained from the Copernicus atmospheric model (https://atmosphere.copernicus.eu, accessed on 29 March 2023). To reduce the background noise and, at the same time, emphasise the most useful information to describe the phenomenon and improve the performance of the classification algorithm, a series of transformations of the environmental parameters were applied. For each parameter, the weekly minimum, maximum, mean, variance, skewness, and kurtosis were calculated and used in the model.
ML algorithms can provide inadequate performance in the presence of highly unbalanced datasets (i.e., when the data of one class are very numerous or scarce compared with those of the other class) [27]. Being that the considered dataset was highly unbalanced (dominance of class “0”, 83.6%), the class “1” category for the training step was oversampled using Synthetic Minority Oversampling Technique (SMOTE) [28]. Different ML algorithms were evaluated with a model selection procedure (3 stratified k-fold cross-validation) to identify the best performing one. In this context, the selected optimisation metric was the Mathews correlation coefficient (MCC). The model selection procedure led to defining the LightGBM algorithm as the most suitable [29]. The LightGBM algorithm is a recent algorithm known for combining a tree structure (which allows a good interpretation of the results) with a very high performance [30].
The trends from 2016 to 2020 of the environmental parameters of two sites, selected to be characterised by the highest and the lowest frequency of “class 1” events (represented in Figure 1 as blue and yellow diamonds, respectively), were compared throughout the non-parametric Kolmogorov–Smirnov test.

3. Results and Discussion

Dinophyceae blooms pose a serious threat to the economic and environmental sustainability of mussel farming in the northern Adriatic Sea. The loss of the product caused by a high-intensity HAB phenomenon can amount to up to 30% [31], with consequent economic shortfalls. Furthermore, growing mussels up to commercial size, but not being able to harvest and market them, represents an environmental cost. For example, consider the case study documented in Martini et al. [32], relative to a mussel farm in the northern Adriatic Sea which produces about 400 tons per year, the overall CO2 equivalent was approximately 49,200 tons per year (0.12 kg CO2 eq·kg−1 mussels). Assuming a product loss of 30%, with the same energy and material consumption, the carbon footprint would increase by about 50% (0.18 kg CO2 eq·kg−1 mussels).
For these reasons, the importance of improving and developing tools to predict such events is paramount. The present study aimed at developing an ML predictive model for OA bioaccumulation in Mediterranean mussels.

3.1. Frequency and Distribution of OA Bioaccumulation Events from 2016 to 2020

The highest number of class “1” events was observed in 2017 (N = 130), followed by 2019 (N = 54) (Figure 2A), whereas 2018 and 2016 were characterised by the lowest occurrence, with OA concentrations always <160 g·kg−1 of OA equivalents (Figure 2B). From 2016 to 2019, all (100% in 2016 and 2018) or most (98% in 2019) of the class “1” events occurred in autumn. In 2017, however, 44 class “1” events (34% of the total) were registered in the summer. In 2020, class “1” events were almost equally distributed throughout the year, with a slight prevalence in summer. The most severe events of OA bioaccumulation were registered in 2019 (Figure 2B), with a concentration higher than 600 μg·kg−1 of OA equivalents.
When two sites (geolocalised in Figure 1), characterised by the highest and the lowest frequency of class “1” events, were compared (Figure 3), the trends from 2016 to 2020 of some of the selected parameters were notably and significantly different: chlorophyll concentration (highest: 4.47 ± 4.78, lowest: 2.74 ± 2.29 (mg·m−3, mean ± S.D.); Kolmogorov–Smirnov p < 0.001), ocean mixed-layer thickness (highest: 10.99 ± 0.27, lowest: 12.17 ± 0.48 (m, mean ± S.D.); Kolmogorov–Smirnov p < 0.001), and nutrient concentration (highest: NO3 = 29.96 ± 13.14, PO4 = 0.34 ± 0.15; lowest: NO3 = 17.61 ± 5.39, PO4 = 0.19 ± 0.07 (mmol·m−3, mean ± S.D.); Kolmogorov–Smirnov pNO3 < 0.001, pPO4 < 0.001).
The entire dataset of the values of each environmental parameter associated with the OA bioaccumulation events (2016–2020) used to feed the classification algorithm is fully reported in Table S1.

3.2. Results of the Classification Algorithm

A Confusion Matrix was used to summarise the results of the classification algorithm, broken down into correct (TRUE) and incorrect (FALSE) predictions (Figure 4).
The accuracy of the Confusion Matrix was calculated as:
Accuracy (A) = (TP + TN)/(TP + TN + FP + FN)
and was found to be equal to 0.82 (82%). False negatives were mainly associated with levels of OA < 100 μg·kg−1, while true positives had higher mean toxin values (139 μg·kg−1); thus, the algorithm tended to classify low concentrations of OA as class “0” events. Indeed, though all samples were processed according to the same analytical procedure, concentration values <100 μg·kg−1 were affected by less accuracy than concentrations >100 μg·kg−1, due to the different quality-control strategy applied to the screening and confirmatory test. Toxin concentrations for class “0” samples (<40 μg·kg−1) were not available, as the LOQ of the analytical method was 40 μg·kg−1. Thus, it was not possible to examine in-depth false positives (e.g., concentrations just below the LOQ value classified as positive by the model).
The parameters’ (features) importance plot evidenced the ten most significant variables for the prediction of OA bioaccumulation events with LightGBM, according to split importance (how many times the nodes split on the feature) (Figure 5). Since none of the features measured during the two weeks before the event improved the accuracy of the classification algorithm, these were removed from the analysis and not used for the training. The most relevant feature analysed was the minimum value in wind stress, occurring three weeks prior to the event, followed by the minimum value in dissolved oxygen concentration six weeks prior to the event. Apart from the minimum in wind stress, in the third week prior to the event the minimum in the eastward wind, the variance and kurtosis of sea surface temperature, and the maximum in chlorophyll concentration and nitrate to phosphate ratio were the variables that most influenced the accuracy.
These 10 features are specific to the case study analysed, also considering the specific subdivision between test and training samples implemented.
The environmental factors that drive increases in Dinophysis spp. abundance are poorly understood. Researchers often fail in the attempt to describe the relationship between the increase in Dinophysis abundances and single environmental variables, because the response is often non-linear and/or exhibits abrupt changes. Notwithstanding this, it was found that temperature and salinity are among the main factors affecting dinoflagellate community structure [33], and, using a Logistic Generalised Linear Model, Singh et al. [34] found sea surface temperature, sea surface salinity, pH, total suspended solids, and N:P ratio as prominent drivers of Dinophysis abundance in the south-eastern Arabian Sea. It should also be taken into consideration that favourable environmental parameters could indeed trigger the blooms of non-toxic Dinophysis species. Even if OA accumulation in mussels would not occur in such cases, the initiation of red tides could occur, which could lead to severe anoxic (even lethal) conditions for local communities, including fish or shellfish.
Hou et al. [35] and Luz et al. [36] pointed out that, even though some factors could be considered reliable predictors of bloom triggering, algal blooms are started by a complex interaction between several abiotic factors (e.g., sea water temperature; concentrations of nitrates, phosphates, and O2; and salinity). Moreover, small-scale physical processes have been demonstrated to be very significant in the triggering of HABs. For example, off the French coast, a “thin layer” (ca. 10 cm) of D. acuminata is frequently observed at the thermocline [37]. The turbulent mixing of the water column may damage phytoplankton cells, often disrupting colonies and causing the end of the toxic bloom [38,39,40].
The increase in chlorophyll concentration and water column stratification plays a primary role in causing Dinophysis spp. blooms [35,41,42], even if several studies demonstrated that measurements of primary productivity are poorly informative when a single toxic species is of interest [6]. Dinophysis spp. growth occurs in a wide temperature range (16–30 °C). However, temperature peaks above 25 °C are reported as foregoing algal blooms’ onset [43,44]. It has been previously observed that temperature rises above 25 °C about 30 days before the bloom onset and drops during the bloom itself [45].
Conversely, salinity does not seem to represent a primary factor influencing Dinophysis spp. blooms and the consequent OA accumulation in bivalves [13].
A critical factor in bloom development is nutrient supply (nitrogen, phosphorus, silicate, and micronutrients). Concentrations of inorganic nutrients, i.e., nitrates (NO3) and phosphates (PO4), have been frequently correlated with the volume of dinoflagellates at the peak of their bloom: a negative correlation was observed between the stability of the concentrations of these compounds and the cell counts in the month preceding the bloom [46]. However, Dinophysis spp. have a mixotrophic nature, obtaining organic nutrients by ingesting detritus, bacteria, and other phytoplankton [47,48,49].
The purpose of this study was to develop a machine learning (ML) predictive model for OA bioaccumulation in farmed Mediterranean mussels using inputs from satellite oceanographic data. The goal was to deliver shellfish farmers a tool for enhancing productivity and profitability by reducing product losses and protecting, at the same time, human health. Being able to predict toxin bioaccumulation in shellfish above the legal threshold would help to plan harvesting decisions and mitigation strategies in a timely manner.
Several statistical and ML forecasting tools have been developed to inform the shellfish industry and limit damages, improve mitigation measures, and reduce production losses. Since HABs are the source of the biotoxins responsible for shellfish contamination, research efforts have been dedicated to the development of early warning systems focusing on HAB modelling (e.g., [18,19,20,21,22]).
However, HAB predictions may fail to estimate shellfish contamination, as HAB-producing species vary greatly in toxin production and models often fail to find direct relationships between HABs and environmental parameters, also considering that the dynamics of accumulation/elimination in shellfish vary among species.
Compared with previous studies, the present work, using an ML tool, investigates the relationship between the probability of OA bioaccumulation in mussels and a large set of combined environmental parameters, recorded at different production sites during a wide time window (45 days) preceding the bioaccumulation events. This approach could represent a promising perspective for fine-tuning predictive models for OA bioaccumulation in farmed shellfish.
A few studies adopted a similar approach, applying ML to the concentration of Paralytic Shellfish Poisoning (PSP) toxins in shellfish. For instance, Harley et al. [50] used several environmental parameters, such as sea surface temperature, salinity, and air temperature to predict the concentration of PSP toxins in blue mussels. The authors created a Random Forest model to classify shellfish samples above and below a toxicity threshold one week in advance. Although the approach used was similar to the one presented in this study, the classification accuracy obtained was lower (<50% vs. 82%). However, a reliable comparison of the different performances between the two approaches is difficult due to the lack of a common benchmark.
Grasso et al. (2019) [51] forecasted shellfish biotoxin contamination by predicting the concentration of PSP toxins in blue mussels (M. edulis) from one to ten weeks in advance. The authors used four years of weekly toxin data and configured the model to mimic an image classification task. Four classification categories were created based on toxin concentrations, and a Feed Forward Neural Network (FFNN) was used to perform the classification task. The model was able to accurately predict closure-level toxic events at a two-week advanced notice. The authors proposed to forecast toxin concentration by using past trends of toxin concentrations. The present study, instead, used environmental parameters, accounting for large-scale abiotic drivers of toxin bioaccumulation.
This study shows that the ML method applied can predict toxin accumulation in mussels based on remotely sensed environmental parameters with good classification accuracy.

4. Conclusions

Machine learning presents an interesting potential for developing predictive tools for water quality parameter monitoring and aquaculture management systems. Here, this technology was applied to the development of a computational tool to support marine aquaculture activities. It exploited remote sensing data for the prediction of risk related to OA in shellfish to provide clear indicators for the aquaculture industry and the management bodies in charge. Moreover, combining toxin concentration in the shellfish forecasting model with accurate field testing would allow regulatory sampling to focus on critical periods when toxin concentrations in shellfish are indicated to increase above and decline below the regulatory threshold. This targeted approach could reduce the overall frequency of official sampling activities while providing both competent authorities and the industry with the tools to ensure consumers’ protection.
Further steps to improve the performance of the model are foreseen. Firstly, the training dataset shall be expanded to include a higher number of positive observations (class 1, >40 μg·kg−1). Secondly, further developments should include data regarding the density of OA-producing species to investigate the contribution of these dinoflagellate populations to the predictive power of our early warning system. Improving the integration of monitoring activities and modelling approaches for applications in HAB early warning systems is necessary to enhance predictive power.
Moreover, further physical, biological, and atmospheric parameters should be considered and added to the classification model to improve model performances.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/su15118608/s1, Table S1: Environmental parameter’s values associated with each OA bioaccumulation event (2016–2020).

Author Contributions

Conceptualisation, F.C. (Fabrizio Capoccioni), L.B. and D.P.; methodology, F.C. (Federica Colombo) and C.M.; software, F.C. (Federica Colombo) and C.M.; validation, L.B., L.C. and M.T.; formal analysis, C.M., R.N. and D.P.; investigation, L.B., F.C. (Fabrizio Capoccioni) and D.P.; resources, D.P.; data curation, L.B., L.C., M.T. and D.P.; writing—original draft preparation, F.C. (Fabrizio Capoccioni) and D.P.; writing—review and editing, L.B., A.M., R.N., N.T., F.C. (Federica Colombo) and C.M.; supervision, F.C. (Fabrizio Capoccioni), L.B. and D.P.; project administration, F.C. (Fabrizio Capoccioni) and D.P.; funding acquisition, F.C. (Fabrizio Capoccioni) and D.P. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by the Italian Ministry of Agriculture and Forestry, projects VALUE-SHELL (n. J86B19001870007) and AQUADATA2 (n. J89C20000010001).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data that support the findings of this study are available from the corresponding author, D.P., upon reasonable request.

Acknowledgments

The authors would thank the “Consorzio Cooperative Pescatori del Polesine O.P. S.C.Ar.L.” for technical support and, in particular, Emanuele Rossetti for his precious help and his availability in sharing his deep professional knowledge. The authors would also thank Piergiorgio Fumelli (Azienda ULSS5 Polesana), who collected the samples used in this study, and Claudia Casarotto (Istituto Zooprofilattico Sperimentale delle Venezie), who validated the spatial data. We are grateful to Thomas Moranduzzo (ColomboSky) for his invaluable help during remote sensing data analysis and the evaluation phase.

Conflicts of Interest

The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

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Figure 1. Map of offshore mussel sampling stations (2016–2020) in the marine area in front of the Po River Delta. Sampling stations are displayed according to the frequency of bioaccumulation events (≥40·μg kg−1 of OA equivalents). Two sampling stations have been also selected for being characterised by the lowest (=0; yellow diamond) and the highest (=244; blue diamond) frequency of positive events during the five years of data collection.
Figure 1. Map of offshore mussel sampling stations (2016–2020) in the marine area in front of the Po River Delta. Sampling stations are displayed according to the frequency of bioaccumulation events (≥40·μg kg−1 of OA equivalents). Two sampling stations have been also selected for being characterised by the lowest (=0; yellow diamond) and the highest (=244; blue diamond) frequency of positive events during the five years of data collection.
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Figure 2. (A) Class “0” and class “1” observations for each year. (B) Violin plot of okadaic acid concentration (OA > 40 μg·kg−1) in mussels for each year.
Figure 2. (A) Class “0” and class “1” observations for each year. (B) Violin plot of okadaic acid concentration (OA > 40 μg·kg−1) in mussels for each year.
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Figure 3. Time distribution and intensity of class “1” events from 2016 to 2020 in sampling stations A and B, selected for being respectively characterised by the highest frequency of positive and the lowest (=0) one (see Figure 1 for the geolocalisation of sampling stations). Investigated parameters are: Panel 1, Chlorophyll concentration (CHL) and Dissolved oxygen (O2); Panel 2, Sea Surface Temperature and Salinity; Panel 3, Ocean mixed-layer thickness and Eastward current; Panel 4, Northward current and Rainfall; Panel 5, Nitrates (NO3) and Phosphates (PO4).
Figure 3. Time distribution and intensity of class “1” events from 2016 to 2020 in sampling stations A and B, selected for being respectively characterised by the highest frequency of positive and the lowest (=0) one (see Figure 1 for the geolocalisation of sampling stations). Investigated parameters are: Panel 1, Chlorophyll concentration (CHL) and Dissolved oxygen (O2); Panel 2, Sea Surface Temperature and Salinity; Panel 3, Ocean mixed-layer thickness and Eastward current; Panel 4, Northward current and Rainfall; Panel 5, Nitrates (NO3) and Phosphates (PO4).
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Figure 4. Confusion Matrix obtained from the application of LightGBM to the test set. TN: True Negative (predicted values correctly predicted as negative); TP: True Positive (predicted values correctly predicted as positive); FN: False Negative (positive values predicted as negative); FP: False Positive (negative values predicted as positive).
Figure 4. Confusion Matrix obtained from the application of LightGBM to the test set. TN: True Negative (predicted values correctly predicted as negative); TP: True Positive (predicted values correctly predicted as positive); FN: False Negative (positive values predicted as negative); FP: False Positive (negative values predicted as positive).
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Figure 5. Feature importance plot. min: minimum; max: maximum; kurt: kurtosis; var: variance.
Figure 5. Feature importance plot. min: minimum; max: maximum; kurt: kurtosis; var: variance.
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Table 1. Data classification. Class “1”: ≥40 μg·kg−1 of OA equivalents; class “0”: <40 μg·kg−1 of OA equivalents.
Table 1. Data classification. Class “1”: ≥40 μg·kg−1 of OA equivalents; class “0”: <40 μg·kg−1 of OA equivalents.
YearObservationsClass “1”Class “0”
201631217295
2017391130261
20183548346
201930654252
20201233588
Total14862441242
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Capoccioni, F.; Bille, L.; Colombo, F.; Contiero, L.; Martini, A.; Mattia, C.; Napolitano, R.; Tonachella, N.; Toson, M.; Pulcini, D. A Predictive Model for the Bioaccumulation of Okadaic Acid in Mytilus galloprovincialis Farmed in the Northern Adriatic Sea: A Tool to Reduce Product Losses and Improve Mussel Farming Sustainability. Sustainability 2023, 15, 8608. https://doi.org/10.3390/su15118608

AMA Style

Capoccioni F, Bille L, Colombo F, Contiero L, Martini A, Mattia C, Napolitano R, Tonachella N, Toson M, Pulcini D. A Predictive Model for the Bioaccumulation of Okadaic Acid in Mytilus galloprovincialis Farmed in the Northern Adriatic Sea: A Tool to Reduce Product Losses and Improve Mussel Farming Sustainability. Sustainability. 2023; 15(11):8608. https://doi.org/10.3390/su15118608

Chicago/Turabian Style

Capoccioni, Fabrizio, Laura Bille, Federica Colombo, Lidia Contiero, Arianna Martini, Carmine Mattia, Riccardo Napolitano, Nicolò Tonachella, Marica Toson, and Domitilla Pulcini. 2023. "A Predictive Model for the Bioaccumulation of Okadaic Acid in Mytilus galloprovincialis Farmed in the Northern Adriatic Sea: A Tool to Reduce Product Losses and Improve Mussel Farming Sustainability" Sustainability 15, no. 11: 8608. https://doi.org/10.3390/su15118608

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