Global Distribution of Zooplankton Biomass Estimated by In Situ Imaging and Machine Learning

<jats:p>Zooplankton plays a major role in ocean food webs and biogeochemical cycles, and provides major ecosystem services as a main driver of the biological carbon pump and in sustaining fish communities. Zooplankton is also sensitive to its environment and reacts to its changes. To better understand the importance of zooplankton, and to inform prognostic models that try to represent them, spatially-resolved biomass estimates of key plankton taxa are desirable. In this study we predict, for the first time, the global biomass distribution of 19 zooplankton taxa (1-50 mm Equivalent Spherical Diameter) using observations with the Underwater Vision Profiler 5, a quantitative <jats:italic>in situ</jats:italic> imaging instrument. After classification of 466,872 organisms from more than 3,549 profiles (0-500 m) obtained between 2008 and 2019 throughout the globe, we estimated their individual biovolumes and converted them to biomass using taxa-specific conversion factors. We then associated these biomass estimates with climatologies of environmental variables (temperature, salinity, oxygen, etc.), to build habitat models using boosted regression trees. The results reveal maximal zooplankton biomass values around 60°N and 55°S as well as minimal values around the oceanic gyres. An increased zooplankton biomass is also predicted for the equator. Global integrated biomass (0-500 m) was estimated at 0.403 PgC. It was largely dominated by Copepoda (35.7%, mostly in polar regions), followed by Eumalacostraca (26.6%) Rhizaria (16.4%, mostly in the intertropical convergence zone). The machine learning approach used here is sensitive to the size of the training set and generates reliable predictions for abundant groups such as Copepoda (R2 ≈ 20-66%) but not for rare ones (Ctenophora, Cnidaria, R2 &amp;lt; 5%). Still, this study offers a first protocol to estimate global, spatially resolved zooplankton biomass and community composition from <jats:italic>in situ</jats:italic> imaging observations of individual organisms. The underlying dataset covers a period of 10 years while approaches that rely on net samples utilized datasets gathered since the 1960s. Increased use of digital imaging approaches should enable us to obtain zooplankton biomass distribution estimates at basin to global scales in shorter time frames in the future.</jats:p>

section_content: Zooplankton plays a major role in ocean food webs and biogeochemical cycles, and provides major ecosystem services as a main driver of the biological carbon pump and in sustaining fish communities. Zooplankton is also sensitive to its environment and reacts to its changes. To better understand the importance of zooplankton, and to inform prognostic models that try to represent them, spatially-resolved biomass estimates of key plankton taxa are desirable. In this study we predict, for the first time, the global biomass distribution of 19 zooplankton taxa (1-50 mm Equivalent Spherical Diameter) using observations with the Underwater Vision Profiler 5, a quantitative in situ imaging instrument. After classification of 466,872 organisms from more than 3,549 profiles (0-500 m) obtained between 2008 and 2019 throughout the globe, we estimated their individual biovolumes and converted them to biomass using taxa-specific conversion factors. We then associated these biomass estimates with climatologies of environmental variables (temperature, salinity, oxygen, etc. ), to build habitat models using boosted regression trees. The results reveal maximal zooplankton biomass values around 60°N and 55°S as well as minimal values around the oceanic gyres. An increased zooplankton biomass is also predicted for the equator. Global integrated biomass (0-500 m) was estimated at 0. 403 PgC. It was largely dominated by Copepoda (35. 7%, mostly in polar regions), followed by Eumalacostraca (26. 6%) Rhizaria (16. 4%, mostly in the intertropical convergence zone). The machine learning approach used here is sensitive to the size of the training set and generates reliable predictions for abundant groups such as Copepoda (R2 ≈ 20-66%) but not for rare ones (Ctenophora, Cnidaria, R2 < 5%). Still, this study

section_content: Present in all the oceans of the globe, zooplankton corresponds to organisms adrift in the water. They represent a great taxonomic diversity and sizes, ranging from a few micrometers to several meters (de Vargas et al., 2015; Karsenti et al., 2011; Stemmann and Boss, 2012). Zooplankton play a central role in the carbon cycle as they contribute to the biological pump that drives the export of photosynthetically fixed organic carbon from the surface to the intermediate and deep oceans (Longhurst and Glen Harrison, 1989; Turner, 2002; Turner, 2015; Steinberg and Landry, 2017). As a major link between primary producers and higher trophic levels (Ikeda, 1985), zooplankton have central ecological and biogeochemical roles, with associated socio-economic interests. This socio-economic impact of plankton can be positive, such as their role as food source for fish (Lehodey et al., 2006; van der Lingen et al., 2006) or as an indicator of water quality (Suthers et al., 2019). It can also be negative, as e. g. jellyfish blooms that can impact various human activities such as aquaculture and fishing (Richardson et al., 2009).
section_name: INTRODUCTION 1.Zooplankton

section_content: Zooplankton organisms are sensitive to environmental conditions and are thus considered sentinels of ocean changes. Their distribution is finely governed by the interactions between physical [i. e., temperature (Steinberg and Landry, 2017), currents, light (Hays et al., 2005), pressure] and chemical constraints [nutrients, oxygen (Steinberg and Landry, 2017) ], but also by biological interactions (e. g. predator-prey, symbiosis, parasitism and commensalism). The dependence of zooplankton on environmental variables leads to very clear global scale patterns even at coarse taxonomic levels (Lucas et al., 2014; Biard et al., 2016). On a global scale, zooplankton diversity is higher at the equator and decreases towards the poles (Rombouts et al., 2009; Ibarbalz et al., 2019). Conversely, zooplankton biomass tends to be low in the tropics and increase with latitude with large seasonal fluctuations in temperate and polar regions (Ikeda, 1985; Moriarty et al., 2012; Soviadan et al., 2022). Although a global quantitative assessment of zooplankton biomass and functional groups is needed (e. g. to be incorporated in biogeochemical and ecological models), it is often hampered by the heterogeneity of sampling methods and the uneven distribution of observations, causing high uncertainty in biomass estimates (Moriarty et al., 2012; Moriarty and O'Brien, 2013; Le Queŕéet al., 2016).
section_name: Spatial Distribution of Zooplankton and Its Biomass

section_content: Assessments of the global distribution of zooplankton organisms are often based on regional datasets, obtained with heterogeneous sampling tools traditionally biased towards non-gelatinous taxa (Lucas et al., 2014), and combined using different standardization procedures (Moriarty et al., 2012; Moriarty and O'Brien, 2013; Buitenhuis et al., 2013). Consequently, the global distribution of only a few zooplankton groups that generally can be well sampled using plankton nets, e. g. crustaceans, have been well studied (Rombouts et al., 2009; Buitenhuis et al., 2013). Indeed, some zooplankton taxa are known to be fragile (cnidarians, ctenophores, rhizarians, etc. ) and their destruction by plankton nets as well as their poor preservation in fixatives (Beers and Stewart, 1970) resulted in an underestimation of their biomass and their ecological role in marine ecosystems (Lucas et al., 2014; Biard et al., 2016). In this context, non-intrusive in situ methods using imaging (Remsen et al., 2004; Cowen and Guigand, 2008; Sun et al., 2008; Stemmann et al., 2008; Schulz et al., 2010; Picheral et al., 2010; Grossmann et al., 2015) and video (Davis et al., 1992; Davis et al., 2005; Hoving et al., 2019) instruments have been developed (Lombard et al., 2019). Among the different systems, only the Underwater Vision Profiler (UVP) version 4 and 5 have been widely used for plankton on a global scale which allowed comparisons of abundance patterns with the Longhurst (1995) provinces of the ocean (Stemmann et al., 2008; Biard et al., 2016). Since 2008, the creation and expansion of such a global dataset could be executed with the UVP5 thanks to numerous participating teams around the world and the wide commercialization of this in situ imaging tool. In this study, we used data from the UVP5, an in situ imaging system designed to detect, measure and quantify the distribution of zooplankton organisms and marine particles (Picheral et al., 2010). This instrument, designed for the study of particle size spectra in the ocean (Stemmann et al., 2002; Guidi et al., 2009) was also previously used to obtain plankton data at a high spatial resolution (Forest et al., 2012) and to study fragile organisms (Biard et al., 2016; Stukel et al., 2018; Christiansen et al., 2018; Biard and Ohman, 2020). However, even with the progressive increase in the spatio-temporal density of observations allowed by the use of imaging instruments, the unevenness in the distribution of observations remains, preventing large scale biomass estimations. Such global observations could nevertheless serve as the basis for large scale estimations through the use of interpolation or extrapolation methods, including statistical habitat models.
section_name: The Study of Zooplankton and Its Difficulties

section_content: Habitat modeling is a machine learning tool to estimate the abundance of a taxon at a location where an observation is missing: instead of interpolating between nearby observation points based on geographical distance, the environmental conditions (i. e. the habitat) are used to inform the estimation. Statistically, a regression analysis can be used to define the relationship between the abundance (or presence) of a taxon at observation sites and the environmental variables at those sites (Guisan and Zimmermann, 2000; Elith and Leathwick, 2009). Then, continuous maps of those environmental variables can be used to predict continuous maps of the taxon's abundance (or presence), by applying the regression. 

The objective of this work was the development of a method to estimate zooplankton biomass on a global scale and to study the spatial distribution of zooplankton in relation to its habitat. To obtain such a global view we used global data from the UVP5 in situ imaging system. In most cases, it is difficult to identify the imaged organisms to species level. We therefore applied the habitat modeling approach to broader taxonomic groups. We first estimated the individual biovolume and biomass of organisms classified in 25 broad taxonomic groups, within a global in situ imaging dataset. We then applied the habitat model methodology to each taxonomic group and built models using different regional and vertical partitions of the data. We separated data of the epipelagic (0-200 m depth layer) from the upper mesopelagic (200 to 500 m depth layer). We also used a global partitioning to separate data from low latitudes (40°S to 40°N) from the remaining high latitude data. We hypothesize that these partitions should allow us to separate subgroups within those broad taxa, which occupy different horizontal and/or vertical habitats. Finally, we used the models' output to estimate the global marine zooplankton biomass distribution in the top 500 m of the water column. 

In situ imaging observations with UVP5 have been widely used during the past decade to study zooplankton in the global ocean. Biard et al. (2016) used 694 stations from the UVP5 dataset to reveal that Rhizaria were strongly underestimated in previous studies. Here, we use an updated version of this dataset, now including 3,549 stations to study the biomass distribution of Copepoda, Rhizaria and several other groups of planktonic organisms in the 1. 02-50 mm size range. We hypothesize that the total biomass of zooplankton is distributed according to regional production characteristics, associated with climatic and hydrological patterns, showing overall a high biomass in high latitudes and lower values in the subtropical gyres (Ikeda, 1985; Moriarty et al., 2012).
section_name: Statistical Habitat Models

section_name: MATERIALS AND METHODS

section_name: Plankton Data Collection and Processing

section_content: UVP5 data (Figure 1 ) were compiled from all oceans, covering a 10 year period (2008) (2009) (2010) (2011) (2012) (2013) (2014) (2015) (2016) (2017) (2018). A detailed description of the operation of the UVP5 is given in Picheral et al. (2010). All particles large than ≈ 100 mm in Equivalent Spherical Diameter (ESD) were measured and counted, but only images of particles (zooplankton and aggregates) larger than ≈ 600 mm ESD were kept by the UVP5 for further processing because smaller objects contained too few pixels to be identifiable. Acquisition of metadata (geographic location, date, etc. ) and processing of all 8. 46 million images (95% being detritus) were carried out by the ZooProcess software which provided information on 42 morphological features associated with each object (area, major and minor axis, etc. ). The results were imported into EcoTaxa (Picheral et al., 2017), an application which allows a taxonomic classification of images via supervised learning algorithms, followed by manual validation (Irisson et al., 2022). As 61% of the profiles have a maximum depth ≤500 m, only images of organisms between 0-500 m were kept and the overall estimates of biomass were restricted to this depth range. To ensure that profiles were representative, a filter was also applied to only keep profiles that covered at least 80% of the layer of interest.
section_name: Global Plankton Imaging With the UVP5

section_content: Living organisms were separated from detritus (aggregates, fibers, fecal pellets) as well as artifacts (e. g. bubbles) and classified according to their taxonomic identity. Recognition and sorting of organisms can be a source of bias depending on the levels of perception and experience of the people who perform them. Several cognitive factors biases such as boredom, fatigue or a classification biased towards the most used groups have been presented by Culverhouse (2007) and Culverhouse et al. (2014). To reduce the risk of poor identification, a shared UVP5 taxonomic guide was used to homogenize image sorting into 119 taxonomic groups. The image data were thereafter grouped into 25 broader taxonomic groups (Table S1 ), and a subset of the resulting dataset was checked for homogeneity of sorting within these groups. A minimum of 51 images and a maximum of 10% of all images were extracted from each group and were independently checked after the assembly of the final data set. The maximum error or uncertainty rate per taxon was 9. 8% and a vast majority of taxa were under 2. 5%. We checked the classification and if accuracy was <95%, we rechecked the categories to assure proper sorting. In addition, only fully validated profiles were used for this analysis. The resulting global data set consisted of 466,872 images from 3,549 stations. Undersampled groups with less than 500 images in the dataset which could not be used for a global study were not included in the analysis. 

We computed the organisms' size spectrum to detect the size range within which the UVP5 can be used to properly quantify their distribution. The concentration of objects in the ocean is expected to decrease with size; when this is computed as a normalized size spectrum, the relationship is expected to be linear (Forest et al., 2012). A peak in the size spectrum at the lower size range generally reflects the minimum size of efficient detection by in situ imaging while high variability in the large size range reflects the poor ability to detect rare large objects (Stemmann and Boss, 2012). With that in mind, the spectrum was linear for the size range 1. 02-50 mm and organisms outside this range were not included in the analysis since large mobile fauna (including large crustaceans) are likely to be undersampled and small zooplankton organisms close to the UVP5's threshold of detection are difficult to identify. This size range selection ensures that the data used in this study was properly quantified by the UVP5.
section_name: Image Classification and Size Range Covered

section_content: To avoid errors due to incorrect ellipse fits (around appendages of organisms rather than their body, ellipse fitted to nonellipsoidal organisms, etc. ), we chose the spheroid method: it is based on the area (Table 1 ), which is more consistently measured by the image analysis performed in ZooProcess. 

For Rhizaria, biovolume (mm 3 ) to carbon (mgC) conversions were done using factors from the literature (Figure S1 and Table S2 ). For other groups, the conversion from individual volume to individual wet weight assumed a density of 1 g cm -3 (Kiørboe, 2013). Then the conversion from individual wet weight to individual biomass in carbon units (mgC) was calculated using taxon-specific linear conversion factors from McConville et al. (2016) ; when several conversion factors were available for a taxon, their median was used for each group. To take into account differences in density of some parts of the organisms, the App endicularia gr oup was actually split into Appendicularia_body and Appendicularia_house, whereby the "body" group contains images with only the animal and the "house" group contains the house and the animal. For the images labeled Appendicularia_house, we used the relationship of house diameter (major axis) to Appendicularia trunk length from Lombard and Kiørboe (2010). We then converted this body size equivalent into carbon weight using the corresponding relationship from Lombard et al. (2009). For the images labeled Appendicularia_body, we converted the biovolume of the organism into carbon weight using the corresponding relationship from Lombard et al. (2009). Two groups also have been created to separate the Collodaria into solitary Collodaria and colonial Collodaria. This choice was done based on the fact that solitary Collodaria are smaller than colonial ones and have a different vertical distribution (Faillettaz et al., 2016). For solitary collodarians with a dark central capsule (subgroup of solitary Collodaria) described in Biard et al. (2016), the estimation of carbon (0. 189 mgC mm -3 ) by Mansour et al., (2021) was done on the capsule of the organisms. As Zooprocess measures the area of the whole organism, we determined the ratio area whole organism area central capsule = 0:713 and applied this factor to avoid overestimation of carbon biomass for this group. For the rest of the collodarians, the estimation of Mansour et al., (2021) was directly applied.
section_name: Individual Biomass Estimation

section_content: In order to develop relationships between regional characteristics of the environment (Figures S2-4 ) and observed biomass, climatologies from the World Ocean Atlas (WOA) (Garcia et al., 2019) were used for temperature (in °C), salinity, oxygen (converted from mmol kg -1 to kPa for better physiological interpretation), and macronutrients (nitrate, phosphate and silicate in mmol kg -1 ). We selected the data sets defined on a 1°horizontal grid, over the 0-500 m depth range, and with a monthly temporal resolution. Temporal coverage was from 2005 to 2017 for salinity and temperature and 1955 to 2017 for the other variables. We also used monthly averaged surface chlorophyll-a data (Chl a in mg m -3 ) resolved to 1/24°from 2005 to 2017 from the Copernicus database (OCEANCOLOUR_GLO_CHL_L4_REP_OBSERVATIONS _009_082) as well as bathymetry data from NOAA (Amante and Eakins, 2009) with a spatial resolution of 10 minutes; both were regridded to a 1°grid. Finally, distance to coast was computed by calculating the distance of all 1°×1°cells to the closest cell associated to land using the raster package (Hijmans, 2021). To obtain annual climatologies, when relevant, each monthly variable was averaged over its time period of coverage. This environmental data was then matched to the UVP5 data on the 1°×1°grid. Since the 1°x1°grid used by WOA does not necessarily follow the contour line of the coast perfectly, some UVP5 profiles could not be directly matched to the environmental grids. This is mostly the case where e. g. the coast is situated in a 45 degree angle to latitude or longitude, thereby creating triangle shaped areas that are not covered by the rectangular grid. For profiles that lie in such corners of the grid, we used the environmental values of the closest neighboring 1°×1°WOA cell. In the epipelagic world model, 3,002 points did have a direct match while 156 points did not have a direct match. 

Out of these 156 points, 14 were not in a neighboring 1°×1°W OA cell and were removed from the model input. For the mesopelagic, 2,172 did have a direct match, while 104 points had a match in a neighboring grid cell and 2 points did not and were removed from the model input. Maps that show the close vicinity of non-matching points to adjacent WOA cells are shown in Supplementary Figure 5. 

To assess whether we are able to describe various environmental conditions with the UVP5 samples, we compared the distributions of each variable in the worldwide WOA dataset and in the subset matched to UVP5 profiles (Figures S6, S7 ). Although the geographical coverage is not homogeneous (Figure 1 ), the coverage of environmental conditions is good and warrants the use of habitat models.
section_name: Environmental Data Collection and Processing

section_content: The steps of this process are summarized in Figure 2.
section_name: Habitat Modeling

section_content: In this work we used boosted regression trees (BRTs) to predict the biomass of different zooplankton groups as they show different advantages over other commonly used machine learning approaches for the nature of our dataset and intended application (Elith and Graham, 2009). This ensemble method uses regression trees, models that link a response (here biomass) to predictors (environmental variables) by successive dichotomous separations (Breiman et al., 1984; Hastie et al., 2001). Regression trees automatically select the relevant explanatory variables, can deal with categorical or continuous inputs, are not sensitive to the distribution of the continuous ones, can represent relations of arbitrary form and naturally include interactions among explanatory variables (Elith et al., 2006). With so-called surrogate splits, they can also deal with missing values in the explanatory variables. They are therefore very convenient to use, but their predictive power is often limited and they have difficulties to capture smooth relationships. Boosting is a way to overcome these drawbacks (Schapire, 2003). It is based on the fact that it is easier to find many rough rules of thumb than to find a single, highly accurate prediction rule (Schapire, 2003). BRTs combine many short regression trees in succession, each new tree being adjusted to consider the observations poorly predicted by the previous ones (Elith et al., 2006; Leathwick et al., 2006; Elith et al., 2008). This improves predictive performance and the smoothness of the prediction (Leathwick et al., 2006). In addition, only a random subset of the input data is used to fit each tree and this stochastic component reduces the variance of the final model ensemble (Friedman, 2002). 

Boosted regression trees (BRTs) have an ability to handle a large number of variables and -other than Generalised Linear Models (GLMs, Nelder and Wedderburn (1972) ) or Generalised Additive Models (GAMs, Hastie and Tibshirani (1986) ; De'ath (2007) ; Elith et al. (2008) ) -do not seek to fit one single model portraying the relationship of the response variable (here biomass) and its predictors (environmental variables). Various recent studies (Gonzaĺez Carman et al., 2019; Chen et al., 2020; Hu et al., 2021) have compared BRTs results to other modeling tools such as GAMs, GLMs, Random Forests (RFs), Maximum Entropy modeling (Phillips et al., 2006; Elith and Graham, 2009) or neural networks and have obtained better predictive performance with BRTs. Other studies (Zhang et al., 2018; Son et al., 2018) used complementary GAMs and BRTs to study the effects of explanatory variables. However, BRTs could be slower than RFs (Chen et al., 2020) and training parameters need to be chosen carefully to avoid overfitting (Leathwick et al., 2006; Elith and Graham, 2009). BRTs were chosen over RFs because of their capacity to reduce both the bias and the variance of model results (Hastie et al., 2001). BRTs are also less sensitive to the effect of extreme outliers and the inclusion of irrelevant predictors (Leathwick et al., 2006). This makes them suitable for plankton datasets, as sometimes very high plankton biomass values do occur during blooms (Brodeur et al., 2018; Pettitt-Wade et al., 2020). BRTs also have the ability to handle sharp discontinuities which is not the case of the GAMs (Elith et al., 2008). This is important when modeling taxa which can have a narrow habitat. 

In addition, in regression trees, the loss function, used to determine which dichotomous split to perform, can be changed to be adapted to the distribution of residuals. Here we explored the classic mean squared error, which assumed a somewhat normal distribution of the residuals, as well as a Tweedie loss adapted to zero-inflated data (Zhou et al., 2019), and a Poissonian loss, which considered data as discrete counts, also including many zeros. To use the Poisson loss, the biomass was scaled so that the value of the 1% quantile was ≥ 1 and then rounded to the nearest integer; the inverse scaling was performed after prediction. This later approach proved to produce the best fits and more robust models in a few test taxa and all models were therefore fitted with Poisson loss. The models and statistics were computed using the xgboost package (Chen et al., 2021) in R version 4. 1. 2 (R Core Team, 2021).
section_name: Modeling Tools

section_content: Individual biomass values derived from UVP5 images and environmental data measured at various layers were both averaged over a depth range of interest and matched geographically, on the 1°×1°grid. Biomass values matched to the same 1°pixel, and therefore associated to exactly the same environmental data, were averaged. 

We hypothesized that an association between biomass and environment investigated at a fine scale could be more efficiently learned by the model because is contains less noise, so we divided the data vertically between the epipelagic (0-200 m) and mesopelagic (200-500 m) zones and also tried a finer partition, into 100 m depth bins between 0 and 500 m. Evaluating separate models for each layer could allow to focus on finer subgroups within our quite coarse taxonomic units (some species being mostly present in one of the layers) and therefore define biomass-habitat relationships at a finer, more relevant biological level. 

For the same reason, we also built models on subsets of data partitioned geographically. Indeed, polar copepods have a different thermal niche compared to tropical ones (Rombouts et al., 2009; McGinty et al., 2021). So, in addition to a model fitted on the global dataset (world), we trained models on data from the region between 40°S and 40°N (low latitude) and from the data collected outside of this latitudinal band (high latitude). Out of the 3,549 profiles composing the UVP5 dataset, 2,837 are located between 40°S and 40°N and 712 were done outside of this latitudinal band.
section_name: Spatial Partitioning of the Data

section_content: For each taxon in each spatial partition, the data was split to distribute 80% of it in a training and validation sets, on which the model was fitted and assessed, and 20% to a test set, on which predictive performance was evaluated. This split was stratified according to the deciles of biomass in the data, to ensure that both the learning and test sets contained low and high biomass points. 

To choose model hyperparameters (i. e. parameters of the model adjustment algorithm) and to evaluate the variability in the prediction due to the constitution of the training set, each 80% portion set was resampled through five-fold cross validation repeated 20 times [i. e. 100 resamples; (Hastie et al., 2001) ]. For each cross-validation fold, the model was actually trained on four folds and validated on the last one. The splits into the five folds were also stratified according to the deciles of biomass, for the same reason invoked above.
section_name: Data Splits for Model Training, Assessment and Evaluation

section_content: To extract as much information from the data, while avoiding overfitting, various combinations of hyperparameters were tested for each model (Elith et al., 2006). They included: 1) the learning rate per tree determining the contribution of each tree to the ensemble model (0. 05, 0. 08 and 0. 1 were tested); 2) the maximum depth of a tree (2, 4 and 8 were tested); 3) the minimum number of elements per leaf (which also limits the depth of the trees; 1, 3 and 5 were used); 4) the number of trees used for the prediction (values up to 600 were tested). For each combination, the model was fitted to the training set and evaluated on the validation set of each of the 100 resamples; the loss was then averaged over the 100 resamples. The best set of hyperparameters is usually the one for which this average loss is minimal. The differences around that minimum are often small and not always meaningful; to be sure to avoid overfitting, we applied an early stopping criterion whereby the increase in the number of trees was stopped when the error did not decrease by more than 1% after adding 10 trees. 

Once the best set of hyperparameters had been chosen, the relevance of the corresponding model was quantified by the Pearson correlation between the observed biomass data in the test set and the predicted biomass, where prediction is the average of the predictions of the 100 models fitted to the resamples. This metric captures the model's ability to correctly represent general trends and patterns in the data set and is one way to compute the R 2. The significance of this correlation can also be tested and quantified with a p-value. These metrics can be readily compared across the various spatial partitions of the data because they represent the skill of the models on an independent data set, not the quality of the fit to the training data (like the way the R 2 is usually computed). To compare the worldwide and regional approaches fairly, it is important to focus on the same regional subset. To this effect, two additional R 2 were computed for the global model: on the test data located inside the 40°S-40°N latitudinal band and on those outside of it (world low latitude and world high latitude).
section_name: Selection of Hyperparameters and Model Evaluation

section_content: To identify which environmental variables drive the change of biomass in each specific model, the percentage of variance explained by each variable was calculated as the sum of the effects of the variable at each node of each tree where it was used. To describe the shape of the effect of each variable, univariate partial dependence plots were computed as the average ± standard deviation marginal effect of the variable in the 100 resamples. Practically, the variable of interest was set at a given value at all training points, the other variables were left at their original values, the average biomass predicted over all points was computed, for each resample; then the mean and standard deviation of those averages were computed across resamples. 

Finally, the variable was set to another value and so on. To describe the full range of each variable, the partial dependence was estimated at 10% quantile.
section_name: Effect of Environmental Variables

section_content: To obtain global maps of predicted biomass, the regression between UVP5 biomass data and environmental variables was applied to all points in the corresponding partition of the world, in depth and space. Because 100 models were fitted to the resamples of the training data, the standard deviation of biomass among the 100 predictions (s b ) can be computed in addition to the mean (m b ), and the coefficient of variation (CV), defined as CV = s b m b, then gives an indication of the uncertainty of the model predictions. 

To get a robust estimate of global zooplankton biomass in the 1. 02 mm to 50 mm size range, we chose to be conservative (i. e. ad minima): only the taxonomic groups in the global partition for which the correlation between predicted and observed biomass was significant were used. The surface area of each 1°×1°cell was computed using the following formula:

with the area A in m 2, the south and north latitudinal limits of the cell in radians and R, the earth radius (6,378. 137 km). For each group used, the biomass was integrated over the relevant layer in each 1°×1°cell by the following calculation

where b is the estimated biomass in mgC. m -3, A in m 2 is defined above, l is the layer thickness in m and therefore b t is the total biomass in mgC. Finally, the global ad minima zooplankton biomass estimate was computed by adding up the biomass for all selected groups and the 0-200 and 200-500 m depth layer.
section_name: Extrapolation to the Globe

section_name: RESULTS

section_content: We estimated model performance on the worldwide UVP5 dataset and on a spatial partition of the dataset in low (inside 40°N and 40°S) and high latitudes (outside of the 40°N-40°S latitudinal band) as well as on different depth layers. We hypothesized that a finer data selection might enable the respective model to learn the regional or depth specific habitat more appropriately. Yet, this also meant fitting models to fewer data points. In the end, we find that no clear trend emerges from the relevant comparisons (Figure 3 ): global models are better in 13 comparisons and partitioned models are better in 14 comparisons, whereas for 11 comparisons no clear decision can be made. Comparisons can only be made within a given depth layer between the same regional partitions (e. g. world low latitude only containing the data predicted by the global model between 40°N-40°S vs low latitude; world high latitude only containing data north of 40°N and south of 40°S from the global model vs high latitude). 

For some groups such as Annelida and some Mollusca, the high latitude model could not be computed (symbolized by a grey cell) either because they were considered as rare (< 500 images in the layer modeled) or because the model could not learn the link between biomass and environment for this group. However, for other taxa such as Copepoda, solitary Collodaria or Phaeodaria, high and low latitude models are generally better than the world model, as indicated by a higher R 2 value (Figure 3 ). In the epipelagic layer, for Copepoda, the R 2 of world low latitude is 0. 26 vs 0. 37 in the low latitude model. For the mesopelagic, low latitude has an R 2 of 0. 07, lower than the one for world low latitude (0. 62). For Appendicularia in the epipelagic layer, the best R 2 values are obtained in the world low latitude (0. 41) and world high latitude (0. 24) models respectively compared to low latitude (0. 01) and high latitude (0. 19). 

As for the vertical 100 m-bin layers partition, we obtained the best results overall with the global model. The finer vertical definition also gives better results for multiple other groups such as Appendicularia, Phaeodaria and Ostracoda between 0 and 300 m. In most cases, only the top 100 m layer model worked for this 100 m vertical partition. Overall, the most consistently good choice, when considering all taxa, is a worldwide model fitted separately to the epipelagic (0-200 m) and mesopelagic (200-500 m) layers. This is therefore the configuration retained for the total, global biomass estimate. In Figure 3, taxa are arranged in decreasing order of global biomass in the epipelagic layer. For the top five taxa [Copepoda (R 2 = 0. 66), Eumalacostraca (R 2 = 0. 31), solitary Collodaria (R 2 = 0. 10), Appendicularia (R 2 = 0. 26) and other Crustacea (R 2 = 0. 15)], the correlation between true and predicted biomass is significant (p-value < 0. 05) in the epipelagic worldwide model. In the mesopelagic layer, the correlations for all five groups are also significant (p-value < 0. 05 with respective R 2 of 0. 22, 0. 10, 0. 09, 0. 30 and 0. 72).
section_name: Model Comparison

section_content: Figure 4 shows the biomass per group predicted for the three spatial partitions and divided into the epi-(0-200 m) and mesopelagic (200-500 m) layers. For the worldwide model, the dominant groups in terms of biomass in the epipelagic were Copepoda (0. 083 ± 0. 020 PgC), Eumalacostraca (0. 058 ± 0. 017 PgC) and solitary Collodaria (0. 038 ± 0. 008 PgC) (Figure 4 ). Among the groups displaying a significant correlation (p-value < 0. 05) between true and predicted biomass (and therefore retained for the global estimate), crustaceans (Copepoda, Eumalacostraca, other Crustacea and Ostracoda) represented 68. 4% (0. 157 PgC) of the biomass in this layer; Rhizaria (solitary Collodaria, Foraminifera, Phaeodaria, other Rhizaria and Acantharea) made up 20. 6% (0. 047 PgC); but the Cnidaria (other Cnidaria and other Hydrozoa) represented only 0. 56% of the global zooplankton biomass (0. 0013 PgC). In other words, Crustacea and Rhizaria together made up ~89. 1% of the biomass predicted in the epipelagic layer. In the deeper mesopelagic layer, Copepoda (0. 061 ± 0. 016 PgC) were still the dominant group in terms of biomass, followed by Eumalacostraca (0. 049 ± 0. 014 PgC) and other Crustaceans (0. 017 ± 0. 001 PgC) combined. Crustacea (Copepoda, Eumalacostaca, other Crustacea and Ostracoda) represented 0. 129 PgC, equivalent to 74. 4% of this layer's biomass, while Rhizaria (Foraminifera, solitary Collodaria, other Rhizaria and Acantharea) totaled 0. 014 PgC, representing 10. 1%, equivalent to most of the remaining biomass in the layer. When combining the results from these two layers, Copepoda represented 44. 4% of the global integrated biomass, followed by Eumalacostraca (15. 6%), solitary Collodaria (13. 1%) and other Crustacea (11. 2%). More broadly, Crustacea (Copepoda, Eumalacostraca, other Crustacea and Ostracoda) represented 0. 222 PgC or 71. 3% of the biomass predicted over 0-500 m, while Rhizaria (Foraminifera, solitary Collodaria, other Rhizaria and Acantharea) made up 0. 019 PgC or 10. 8% of biomass. 

Copepoda were particularly dominant in high latitudes, especially in the epipelagic layer. In the low latitude model, solitary Collodaria contributed most in the epipelagic, followed by Eumalacostraca, Copepoda and Foraminifera. Eumalacostraca dominated biomass in the mesopelagic layer in low latitudes followed by Copepoda and Foraminifera.
section_name: Group-Wise Contribution to Global Zooplankton Biomass

section_content: Presenting the global distribution patterns of all zooplankton groups is beyond the scope of this paper. Instead, we focus on the results for the three groups contributing most to the total global biomass (Copepoda, Eumalacostraca and Solitary Collodaria) as well as on Phaeodaria and Acantharea, Rhizarians that were shown to be important contributors to zooplankton biomass that are underestimated by net-based sampling (Biard et al., 2016). The predicted fields for all modeled groups will be made available in the GitHub repository linked in the data availability statement upon publication of the article.
section_name: Spatial Distribution Patterns and Occupied Habitat

section_content: Copepoda is one of the best predicted groups in the epipelagic (R 2 = 0. 66), likely because it is the most abundant. The structuring environmental variables were different for the epi-(Figures S8A, B ) and mesopelagic layers (Figures S8C, D ): temperature (33%) and oxygen (19%) for the former and temperature (29%), bathymetry (19%) and chlorophyll a (15%) for the latter. The highest copepod biomass in the top 200m was found in high latitudes (Figure 5A ), where water temperature is low and oxygen concentrations are relatively high. In the mesopelagic layer (Figure 5B ), high copepod biomass was associated with shallow coastal and cold water masses. The patterns of distribution predicted by the global models were similar in both layers (Figures 5A, B ), with the highest predicted biomass values in the Baffin Bay, Labrador Sea and Greenland Sea as well as at the Southern Ocean polar front region. The lowest predicted biomass was predicted at oceanic gyres and in the Arctic, north of 80°N. For both layers, the highest values of the coefficient of variation (Figure 5C ) were found north of Canada and Greenland, as well as south of 60°S, especially for the epipelagic layer. These high values depict disagreement among the 100 models fitted to the data resamples and therefore inform on the uncertainty of the model in these zones. Caution is therefore advised regarding the interpretation of the very low values of biomass predicted in those regions. In the northern hemisphere, except for the Arctic ocean, the values of the coefficient of variation were rather low at locations where either low or high biomass values were predicted. In the southern hemisphere, model predictions varied relatively strongly at the level of the Antarctic polar front (Figures 5C, D ).
section_name: Copepoda

section_content: Eumalacostraca contains mostly vignettes of euphausiids, amphipods and decapods. They were predicted globally with an R 2 of 0. 31 for the epi-and 0. 1 for the mesopelagic layer, both with significant p-values (p-value < 0. 05; Figure 3 ). In the epipelagic, high biomass of these organisms was associated with high concentrations of phosphate (22%) and low concentrations of silicate (17%) (Figures S9A, B ). In the mesopelagic layer, the distribution of this group was associated with low concentrations of silicate (16%), bathymetry (15%) and high chlorophyll a (15%) (Figures S9C, D ). In terms of spatial distribution, high biomass is predicted in eastern boundary currents, especially in the Peruvian and Californian upwelling systems. Low biomass is predicted in high latitudes and in the oceanic gyres, especially in the North Atlantic. Similar patterns were predicted in the mesopelagic layer, but with lower biomass values. The model uncertainties are highest in the zones of low biomass (high latitudes and oceanic gyres).
section_name: Eumalacostraca

section_content: Solitary Collodaria were predicted globally with an R 2 of 0. 1 for the epi-and 0. 09 for the mesopelagic layer, both with significant pvalues (p-value < 0. 05; Figure 3 ). In the epipelagic, the distribution of solitary Collodaria were mainly associated with low salinity (21%, between 35 and 37) and bathymetry (14%) (Figures S10A, B ). In the mesopelagic, high abundances of this group were associated with distance to shore (18%) and high chlorophyll a (17%) (Figures S10C, D ). In this layer, 65% of the biomass was predicted at less than 1,000 km from the coast. Solitary collodaria were mainly located between 50°N and 50°S, in a rather diffuse manner (Figure 7 ) with maximum biomass predicted at the equator. In the intertropical region, the highest biomass was found in the epipelagic zones of productive areas such as the upwelling regions off the western coast of Africa (Cape Verde and Angola) and of the eastern boundary of the Pacific Ocean (Peru and California). The model also predicted high biomass in the Mediterranean Sea. 

The importance of the environmental variable "distance to coast" in the learning process created unusual patterns in the prediction map such as a hexagonal shape in the Pacific Ocean. North of 50°N and south of 50°S, environments that are typically characterized by water masses with low salinity (1 st most structuring variable in the epipelagic) and high nitrate (4 th variable), the predicted biomass was rather low especially in the epipelagic layer.
section_name: Solitary Collodaria

section_content: For this group, the worldwide epipelagic model was statistically significant (p-value < 0. 05; Figure 8 ) with an R 2 of 0. 27, but the mesopelagic model was not (p-value > 0. 05; Figure 3 ). Therefore, only the 0-200 m layer is displayed (Figure 8 ). In this layer, Phaeodaria was one of the best predicted groups (Figure 3 ) especially in the upper 200m. The predicted epipelagic distribution of Phaeodaria is associated with low values of salinity (38%) followed by bathymetry (11%), surface chlorophyll a (10%), oxygen and temperature (8% each) (Figures S11A, B ). This is visualised on the map of global prediction (Figure 8A ) on which high biomass was mainly predicted in the Californian upwelling (characterized by low salinity, cold and coastal waters), with lower biomass north of the upwelling up to the Gulf of Alaska. High biomass values were also predicted in the Bay of Bengal and Adaman Sea. The coefficient of variation in zones of high biomass is very low, providing strong confidence in this pattern. The lowest predicted biomass for this group are found in oceanic gyres and high latitudes of the northern hemisphere.
section_name: Phaeodaria

section_content: The group Acantharea was predicted with low total biomass (Figure 4 ). This group was well predicted in the world model fitted with the epi-(R 2 = 0. 26) and mesopelagic (R 2 = 0. 63) layers (Figure 9 ). In the epipelagic layer, nitrate (18%), salinity (15%) and phosphate (12%) were the main driving variables (Figures S12A, B ). In the mesopelagic layer, the link between biomass and environment (Figure 9B ) was defined by the influence of several variables: silicate (19%), phosphate (12%) followed by chlorophyll a (12%) (Figures S12C, D ). The highest epipelagic biomass (Figure 9A ) was predicted in the intertropical range, in productive areas such as the upwellings off the West coast of Africa (Cape Verde, Angola) and America (Peru and California). These high biomass patches are associated with a salinity around 35 as the 2 nd most structuring variable, as well as with high nitrate and phosphate concentrations (respectively 1 st and 3 rd ). Intermediate biomass values were predicted mostly between 50°N and 50°S in a diffuse way, except in the oceanic gyres where the predicted biomass was lowest. The largest uncertainty was present in the Southern and Artic Oceans, Bering Sea and Gulf of Alaska where low biomass values were predicted (Figure 9C ). In the mesopelagic layer, biomass was predicted to be 16. 7-times lower overall (Figure 9B ), with highest values found in the Gulf of Alaska and the Bering Sea. Intermediate biomass values were predicted for the upwelling regions and the Southern Ocean. In this layer, the high biomass estimates correspond with low coefficient of variation (Figure 9D ).
section_name: Acantharea

section_content: The latitudinal biomass distribution of Copepoda and Rhizaria obtained by combining the predictions of global models for the epi-and mesopelagic is shown in Figure 10. It is compared against data (interpolated on 0-500 m) from the Tara Oceans mission (Pesant et al., 2015; Soviadan et al., 2022) acquired using 300 mm multinet samples and ZooScan (Gorsky et al., 2010). To make the comparison meaningful, we only selected organisms in the ZooScan samples with an ESD >1 mm. For Copepoda, the values observed by the UVP5 and the nets reveal a similar latitudinal pattern between 70°N and 60°S. The trend computed on the output of the models shows lower biomass between 40°N and 40°S compared to Tara observations. For Rhizaria, the highest biomass was found in the UVP5 observations and models around the equator. Generally, almost no Rhizaria were observed in nets whereas they were consistently observed with the UVP5.
section_name: In Situ Imaging Compared to Net Based Sampling

section_content: The biomass integrated over 0-500 m was predicted to be maximal at around 60°N and 55°S, with values decreasing both north and south of these two latitudes (Figure 11 ). The lowest values of biomass were predicted north of 80°N and in the Weddell Sea as well as in the oceanic gyres (especially in the southern hemisphere). 

We also observed an increase of the predicted biomass around the equator. The highest biomass values were predicted between 50 and 80°N, in coastal waters of the Labrador Sea and Baffin Bay, as well as in the Greenland Sea. Relatively high biomass was predicted around these locations as well as in the Gulf of Alaska, Bering Sea and Sea of Okhotsk. A band of high biomass was predicted between 40 and 50°S, a region associated with the Arctic polar front. Finally, by summing only the predictions that significantly correlated with observations, we can get to a first robust, conservative, global biomass estimate of zooplankton biomass based on UVP5 in situ imaging. As not all groups could be included in this computation, we refer to the following numbers as biomass ad minima. With that in mind, the zooplankton biomass estimated by the models was 0. 229 PgC for the epipelagic, and 0. 173 PgC for the mesopelagic. Thus, the estimated biomass for the upper 500m of the ocean is to 0. 403 PgC.
section_name: Global Zooplankton Biomass Distribution

section_name: DISCUSSION

section_content: In this study, we explored whether a partitioning approach would improve model performance through the use of different horizontal and vertical divisions of our dataset. The aim of using partitioned models was to test if we could model local taxa that otherwise would be mixed within the coarse taxonomic definition imposed by the dataset. The R 2 computed on the models' output show a high variability across groups, layers and regional combinations. Overall, when comparing each partitioned model to the same zone in the global model, the global and the partitioned models had similar performance. The reduction in dataset size might be the explanation why in many cases global models perform better than the smaller partitioned models. The high latitude dataset contains 712 UVP5 profiles, the low latitude 2,837 and the world 3,549 data points. Another drawback of the partitioned models could be that some groups might have an environmental habitat associated with regions on both sides of the limits of the two models (here 40°N or 40°S). A vertical resolution that consists of two layers (0-200 and 200-500m) provided the best results (Figure 3 ) compared to a finer depth separation. The reduction of data per model with a finer depth layer resolution probably made it impossible for some models to learn the association between a group's biomass distribution and the associated habitat properties, either because the model could not learn this association or because the group was considered rare (< 500 images). If enough data are available, however, a finer vertical model might perform better, because it better delimits the vertical habitat structure. This seems to be the case for the Phaeodaria for which models with 100 m resolution obtained higher R 2 results, especially for those between 0 and 300 m depth.
section_name: Sensitivity of Model Prediction to Partitioning

section_content: Globally, in the 1. 02 -50 mm size range, we observed up to four zooplankton groups dominating each region and layer (Figure 4 ), mainly Crustacea (Copepoda, Eumalacostraca, other Crustacea) and Rhizaria (solitary Collodaria, Phaeodaria, Foraminifera). The dominance by copepods was expected: they are known to be a central trophic link in marine ecosystems (Steinberg and Landry, 2017) and their dominance was already shown in several studies (Turner, 2004; Forest et al., 2012; Dai et al., 2016). Rhizaria were also presented as substantial participants in the global zooplankton biomass by Biard et al. (2016) with Phaeodaria and Collodaria being the most important contributors to rhizarian biomass. In addition, Rhizaria were previously shown to play an important role in the biological carbon pump by intercepting (Stukel et al., 2018; Stukel et al., 2019) but also generating particle flux (Lampitt et al., 2009). In contrast, gelatinous predators such as Chaetognatha and other Cnidaria (other Cnidaria, other Hydrozoa, Siphonophorae) can be well predicted but their predicted biomass is low. This might be due to different reasons, ranging from their low carbon content (McConville et al., 2016), their size range which can exceed the specific range of the UVP5 (1. 02 -50 mm), their lower abundance reducing the probability of observation in the rather small volume of the UVP5 and the reduced capacity of the UVP5 to image them due to their transparency. Other instruments, such as the pelagic in situ observation system (PELAGIOS, Hoving et al. ( 2019 )), the Zooglider (Ohman, 2019) or the In Situ Ichthyoplankton Imaging System (ISIIS, Cowen and Guigand (2008) ) might be more adapted to study these organisms, thanks to their larger sampling volumes or different image approach.
section_name: Group-Wise Contribution to Global Zooplankton Biomass

section_name: Distribution Patterns and Occupied Habitats

section_content: Copepoda biomass was predicted to be highest in high latitudes in both epi-and mesopelagic layers of the global models. The lowest values were predicted at the gyres and an increase of biomass was observed centered at the equator. In the global models, temperature always appeared within the top three environmental factors explaining the distribution of copepods (except for 0-100 m model where it appeared 4 th ), which is in agreement with previous work suggesting that surface temperature and thermal tolerance of marine ectotherms, including copepods, are important constraints for their distribution and abundance (Beaugrand et al., 2009; Sunday FIGURE 11 | Distribution map of the predicted minimum global biomass between 0 and 500m using taxa which obtained a significant result (p-value < 0. 05) in Pearson test between the predicted biomass and the biomass calculated from UVP5 data. 

et al., 2012). We also predict significant Copepoda biomass centered at 50°S in the Southern Ocean, at the location of the strongest horizontal gradient of temperature within the epipelagic layer. This geographic pattern is in agreement with earlier observations of high Copepoda occurrence along the Polar front (Pinkerton et al., 2020). Hence, despite a low number of UVP5 profiles in this latitudinal band, the model is able to retrieve this fundamental pattern. Higher values of the coefficient of variation (Figure 5C ) are found in the Arctic Ocean, as well as south of 60°S. More data from these regions could help to further reduce the uncertainty of our models.
section_name: Copepoda

section_content: The distribution of the predicted Eumalacostraca biomass showed high values in coastal areas mainly on the eastern boundary currents of the Atlantic and Pacific Oceans and low values at high latitudes and at the locations of the oceanic gyres. Due to the low image resolution, a finer taxonomic resolution than Eumalacostraca (mostly euphausiids, decapods and amphipods) is not possible for UVP5 vignettes. Euphausiids are well known for their ability to escape standard oceanographic plankton nets (Brinton, 1967; Wiebe et al., 1982; Sameoto et al., 1993) and even low noise gliders (Guihen et al. 2022). This behavior might also be dependent on the species and stage development while the UVP5 mostly detects small Eumalacostraca (≤ 50 mm) for which taxonomic identification is not possible. Nevertheless, as Euphausiids are the second most abundant crustacean taxon after copepods (Castellanos et al., 2009), they may compose a large fraction of the biomass in this group. They are described as widely distributed in high numbers in the world ocean between 0-300 m with the exception of the eastern Canadian Arctic and the Arctic Ocean (Castellanos et al., 2009). This is consistent with our predictions of higher biomass in the epipelagic zone (0. 058 PgC) compared to the mesopelagic (0. 049 PgC), and low values predicted for the Arctic Ocean. The high Eumalacostraca biomass predicted in the North Atlantic also consistent with other observations that reported high abundances of krill in this region (Edwards et al., 2021). Euphausia superba and Euphausia mucronata have been respectively described as keystone species of the Antarctic and the Humboldt Current System (Antezana, 2010). The comparatively low values of biomass predicted in the Antarctic in the epipelagic layer (Figure 6A ) might be too low, as Euphausia superba is known to show a patchy distribution (Siegel, 2005; Siegel, 2016). Since we only have very few samples from the Antarctic Ocean, we probably under-sampled this region and specifically krill. The high coefficient of variation in this region seems to reflect this problem. Overall, our observations and models likely underestimate the abundances of Euphausiids and of Eumalacostraca, due to their escape behaviors, the comparatively small sampling volume of the system and the low sample size in the Southern Ocean.
section_name: Eumalacostraca

section_content: Global models in epi-and mesopelagic layers predicted a widespread distribution of solitary Collodarians between 50°N and 50°S, from oligotrophic to eutrophic zones. Their distribution can be explained by the selective advantage of their mixotrophy, since all collodarian species live in symbiosis with photosynthetic microalgae (Suzuki and Not, 2015; Biard et al., 2016). Consistently with the models' prediction of solitary Collodaria as the third most important group in terms of global biomass in 0-200 m, it has been shown by Biard et al. (2016) that Collodaria contribute most to the biomass of the Rhizaria between 0-100 m.
section_name: Solitary Collodaria

section_content: The distribution of Phaeodaria shows a latitudinal pattern with three peaks in biomass, at 50°N (with high biomass values at the level of the subarctic gyres), at 5°N and at 60°S. These three peaks were not observed by Biard et al. (2016). The highest values being predicted in the subarctic gyre are consistent with Steinberg et al. (2008) who estimated their mean biomass there as 5. 5% (range 2. 7-13%) of the metazoan biomass sampled using a MOCNESS (Wiebe et al., 1985). The distribution of this group in the epipelagic (high biomass in coastal regions especially around the Californian upwelling and low biomass in the gyres conditions) could be related to food availability which might not be abundant enough in the open ocean. In the models' output, this group only accounted for to ~1. 2% of the global biomass in the epipelagic. This is consistent with previous work describing these organisms as being distributed in water below 150-200 m (Stemmann et al., 2008; Nakamura and Suzuki, 2015; Boltovskoy et al., 2017; Biard and Ohman, 2020). The high (R 2 = 0. 50) and low latitude (R 2 = 0. 39) models for the mesopelagic layer reveal similar patterns as the ones shown for the epipelagic layer in Figure 8. This pattern of high biomass predicted in the North Pacific can be put in perspective with a previous study (Ikenoue et al., 2019) which highlighted Phaeodaria in the Western North Pacific as one of the major carriers of carbon in the twilight zone (200-1000 m (Buesseler and Boyd, 2009) ), with an organic carbon standing stock reaching its highest value at depths between 200-500 m. A maximum in abundance of Phaeodaria was observed in the lower epipelagic or mesopelagic zone in the Sea of Japan by Nakamura et al. (2013) as well as in the Antarctic beneath the sea ice with similar abundances as the North Atlantic and Pacific (Morley and Stepien, 1984). In the regional mesopelagic predictions, the mean biomass in the Sea of Japan is not particularly high, but it reached higher values in the Southern Ocean.
section_name: Phaeodaria

section_content: Here, we present results on large Acantharea only, but it should be kept in mind that most species are smaller than 600 mm (Biard et al., 2016). Most Acantharea species are associated with symbiotic algae (Michaels, 1991) which could explain the rapid observed biomass decline with depth. Indeed, the biomass predicted is 16. 7-times lower in the mesopelagic (1. 36 10 -5 PgC) compared to the epipelagic layer (2. 27 10 -4 PgC). These mixotrophs are present throughout the world oceans (Suzuki and Not, 2015) and commonly distributed in intertropical latitudes (Bottazzi and Andreoli, 1982) mostly in the surface with an abundance rapidly declining below 20-50 m depth (Michaels, 1988). The model confirmed this biomass diminution in the epi-and mesopelagic layers (Figure 9 ). We also observed latitudinal patterns with the highest biomass in intertropical areas consistent with these previous studies. The highest biomass of Acantharea predicted by the mesopelagic global model in the Gulf of Alaska coincides with a large number of organisms imaged by the UVP5. This is surprising knowing the above described distribution patterns. More observations from this region are required to clarify whether this was a temporally limited occurrence or whether it represents a region of permanent abundance maxima. The predicted biomass in Antarctic waters in this depth layer is also surprising. Acantharea are marine planktonic unicellular eukaryotes in the Rhizaria group and produce a mineral skeleton made of strontium sulfate (Michaels, 1991; Decelle and Not, 2015). The surprisingly high abundance at high latitudes might be important for studies done on the strontium biogeochemical cycle (Bernstein et al., 1987; Decelle et al., 2013).
section_name: Acantharea

section_content: The integrated global predicted biomass is dominated by Copepoda (35. 7%), Eumalacostraca (26. 6%) and Rhizaria (16. 4%). Because of their important contribution to the predicted global biomass, the distribution map of total biomass ad minima (Figure 11 ) reflects in part the major distribution patterns of these three groups: polar waters are dominated by Copepoda and intertropical waters are dominated by mixotrophic Rhizaria. Eumalacostraca follows the predicted distribution of zooplankton with 3 peaks of biomass at 60°N (55°N for zooplankton), at the equator and at 45°S (55°S for zooplankton). The comparison of the models' output with data from the Tara Ocean expedition, obtained with a 300 mm mesh size multinet (Pesant et al., 2015; Soviadan et al., 2022) shows a good agreement for the latitudinal patterns of Copepod biomass. Net data is estimated to be higher than biomass estimated from UVP5 data in the intertropical latitude range for this group. Results in the high latitudes regions with strong seasonality and sea ice cover should be taken with caution as no data was available in the UVP5 dataset in winter for these latitudes. For Rhizaria, we observe that at most locations the biomass estimated by the nets is zero, while the UVP5 images suggest a considerable biomass in this group (Figure 10 ). In the TARA Ocean multinet samples, only Acantharea, Foraminifera and Phaeodaria are sometimes detected, while Collodaria are consistently absent from these samples. Indeed, Collodaria and Acantharea are poorly sampled by nets and are not well preserved in plankton samples fixed with regular fixatives such as formaldehyde (Suzuki and Not, 2015). Yet, solitary Collodaria are predicted as the 3 rd most important group in terms of biomass in the upper 200 m of the global model. Our results show that in situ imaging is far more suitable for the study of this group and all other fragile plankton groups. As described above, several important zooplankton groups are generally well modeled, allowing us to combine the taxon-specific models to yield a global estimate of zooplankton biomass in the 1. 02 to 50 mm size range. Previous studies (Table 2 ) have computed such global zooplankton biomass obtained largely (Hatton et al., 2021) or completely (Moriarty et al., 2012; Moriarty and O'Brien, 2013; Buitenhuis et al., 2013) from net collected organisms. These studies also used a proportionality method for estimating the global biomass presented in Table 2 by multiplying the median value of biomass with the surface of the ocean and the studied depth. 

Our predictions are within the same order of magnitudebut at the lower limitof these compilations if one combines their mesoand macrozooplankton biomass estimates. We refrain from a more detailed comparison due to the difference in size studied (here 1. 02 -50 mm ESDequivalent to 765 mm to 37. 5 mm meshsize according to Nichols and Thompson (1991) 's 3/4 law of mesh selectioncompared to ≥ 200 mm for the cited meso-and macrozooplankton studies), sampling methods and depth covered (Buitenhuis et al., 2013). Contrary to the complementary use of nets and Zooscan, such as with the TARA dataset, these previous studies are based on data obtained through methods which do not allow to split the organisms based on fixed criteria (size, area of the organism or taxonomy). One would expect a large contribution to biomass in the 200 to 765 mm mesh size range (Gallienne, 2001; Hwang et al., 2007).
section_name: Comparison Between Net Sampling and In Situ Imaging

section_content: The distribution of the global integrated biomass (0-500 m) ad minima follows the patterns described by Ikeda (1985), Moriarty et al. (2012) and Hatton et al. (2021) Please note that we have converted the size range we cover with the UVP5 (1. 02-50 mm ESD) to meshsize using the empirical Nichols and Thompson (1991) 's 3/4 law of mesh selection. 

of global zooplankton distribution. The results depicted in Figure 11 in the Southern Ocean are consistent with a recent study done with BRTs (Pinkerton et al., 2020) showing that the highest environmental suitability for zooplankton was located between the Subantarctic Front and the southern limit of the Antarctic Circumpolar Current with a lower suitability north and south of this band. The spatial distribution of plankton biomass thus shows the importance of oceanographic hydrodynamics leading to oligotrophy in central gyres and mesotrophy in areas of high latitudes and equatorial and coastal upwellings. Zooplankton plays a crucial role in fisheries e. g. in the Humboldt Current System which harbors the largest fishery in the world and most economically important fish species, supported by the upwelling of Peru (Chavez et al., 2008). Peruvian anchovies and sardines obtain most of their energy from zooplankton (van der Lingen et al., 2009).
section_name: Global Zooplankton Biomass Distribution

section_content: In summary, our results show, for the first time, that spatial patterns and global biomass of key zooplankton groups can be calculated using a machine learning method (BRT) to extrapolate individual zooplankton biomass estimates from sparse UVP5 observation. They also highlight the important contribution of Rhizaria (predicted mainly in the intertropical range) and Copepoda (predicted mainly in high latitudes) to the global estimate of zooplankton biomass. Within the size range covered, Copepoda contributes 35. 7%, Eumalacostraca 26. 6% and Rhizaria 16. 4% to global zooplankton biomass. This suggests that it is especially crucial to extend work on the fragile Rhizaria, which are comparatively little studied. As a biogeographical study, our aim was not to represent proximal mechanisms that drive the distribution of zooplankton, or to describe seasonal or transient (e. g. mesoscale) features, but rather to represent the global distribution patterns of biomass according to general properties of the water masses. This method worked well in general as seen in Figure 3 for at least 3 of the combinations of regions and depths. It made it possible to model 19 groups of zooplankton and obtain corresponding maps with the relative importance of the environmental variables used for the model. The WOA climatologies used in this study compile data of salinity and temperature (2005) (2006) (2007) (2008) (2009) (2010) (2011) (2012) (2013) (2014) (2015) (2016) (2017) and other variables. The temporal coverage of the latter being much coarser, we hope to use more constrained nutrient datasets in our future work as they become available. 

The zooplankton biomass predictions based on UVP5 datasets presented here are important for global biogeochemical modeling of pelagic ecosystems because they usually lack zooplankton observations to constrain their development (Stemmann and Boss, 2012; Buitenhuis et al., 2013; Sefeŕian et al., 2020). A current trend is to add a more realistic representation of plankton in ecosystem models to better predict future ecosystem states and ocean conditions and to inform sustainable management strategies for climate mitigation at global scale (Sefeŕian et al., 2020). The UVP5, the newly developed UVP6 (Picheral et al., 2021) and other commercialized in situ systems, provided that they are intercalibrated (Lombard et al., 2019), will continue to be used in the foreseeable future, increasing data availability. Still, the bottleneck lies in the classification of the massive amount of images which still require human validation, but new algorithms to recognise plankton types and traits are expected (Irisson et al., 2022). The further anticipated expansion of image datasets will enable the quantitative assessment of rare groups that were not well predicted here. In addition, the deployment of the UVP6 on autonomous platforms will also help to sample certain areas that are difficult to access at certain times of the year such as polar regions in winter. The large dataset used in this study spans 10 years of data collection and can be compared to the COPEPOD database collected since about 1960. The possibilities given by imaging systems could hence help to reach a useful amount of data in a much smaller time frame. It would be interesting to use other imaging system's data sets such as the ones presented by Lombard et al. (2019) to reconstruct the wider size spectrum of these groups in terms of biomass. To have a better understanding of the vertical habitat of zooplanktonic groups, we highly recommend that UVP5 and 6 profiles should be done to at least 1,000 m when the bathymetry allows it. Long term inter annual data acquisition is also highly recommended. This will enable us to monitor global zooplankton biomass changes at pace with the speed of global change.
section_name: Conclusions and Outlook

section_name: ACKNOWLEDGMENTS

section_content: The sampling effort on which this paper is based was enabled by the dedicated cruise leaders and participants who helped in the creation of the UVP5 dataset. We thank them as well as all the people who have participated in the classification of the huge amount of UVP5 images. We are grateful for the ship time provided by the respective institutions and programs. Furthermore, we would like to thank our colleagues from the Laboratoire d'Oceanographie de Villefranche (LOV) as well as Marina Levy and Fabio Benedetti for their support and precious guidance. We also thank Yawouvi Dodji Soviadan for his help with the Tara Oceans mission data.
section_name: ACKNOWLEDGMENTS

section_name: DATA AVAILABILITY STATEMENT

section_content: The inputs and outputs of the world models for 0-200 m and 200-500 m were uploaded to the GitHub repository: https://github. com/dlaetitia/Global_zooplankton_biomass_distribution. git. The code used for the models and the post treatment of their outputs was also made available in the same GitHub repository. The dataset of environmental data from World Ocean Atlas is available at https:// www. ncei. noaa. gov/products/world-ocean-atlas. The surface chlorophyll a data is available on the Copernicus website at https:// resources. marine. copernicus. eu/productdetail/ OCEANCOLOUR_ GLO_CHL_L4_REP_OBSERVATIONS_009_082/
section_name: DATA AVAILABILITY STATEMENT

section_name: AUTHOR CONTRIBUTIONS

section_content: LD, RK, LS, JO-I and TP developed the study's concept; RK, LS, LD, FC, FL, MB, TB, LC, LG, HH, LK-B, AD, MP, AR, AW, contributed to data acquisition; RK, LS, LD, JO-I, TP contributed substantially to the data analysis; LD led the code development with major assistance by JO and guidance by TP and RK; LD created all figures and drafted the manuscript; All authors contributed substantially to drafting the manuscript; All authors approved the final submitted manuscript.
section_name: AUTHOR CONTRIBUTIONS

section_content: The Supplementary Material for this article can be found online at: https://www. frontiersin. org/articles/10. 3389/fmars. 2022. 894372/ full#supplementary-material Conflict of Interest: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. 

The handling editor SP declared a shared affiliation with the author FL at the time of review. 

Publisher's Note: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
section_name: SUPPLEMENTARY MATERIAL