Temperature data
Consistently identifying and characterizing MHWs requires daily temperature data [11] over a sufficiently long period to estimate climatology, ideally a minimum of 30 years [46]. However, until recently, suitable oceanic projections for detailed three-dimensional future MHW assessments in the Mediterranean Sea were lacking, with most previous ensemble initiatives providing only monthly seawater temperatures.
For the present analysis, daily three-dimensional seawater temperature projections were obtained from simulations of the coupled POLCOMS-ERSEM system, retrieved from the Copernicus Climate Change Service. The regional ocean circulation model POLCOMS (the Proudman Oceanographic Laboratory Coastal Ocean Modelling System) tracks water movement and the transfer of energy and momentum in three dimensions, enabling accurate modeling of water temperature [47, 48]. The obtained data cover 94 years, from 2006 to 2100, and represent the future changes in the Mediterranean Sea under the RCP8.5 IPCC scenario. The model has a horizontal resolution of 0.1° (approximately 11 km) and a vertical extent of 43 depth levels, ranging from 0 to 5500 m below sea level. For the current analysis, 36 of the 43 depth layers were used, reaching 2000 m below sea level, to examine extreme events affecting the majority of marine ecosystems which are confined above that depth. Although using a single model-based dataset ignores model-selection uncertainty [49], our findings provide valuable insights for accurately predicting surface and subsurface MHWs. However, multimodel ensemble approaches are further needed to allow us to identify the envelope of potential changes in future MHWs over depth.
Defining MHWs and their properties
A marine heatwave (MHW) is a “prolonged, anomalously warm water event at a particular location” [50]. It is identified by exceeding a local daily upper-percentile climatology threshold, typically calculated over a 30-year baseline [46]. The threshold for defining MHWs may vary, from strict thresholds, such as the 99th percentile, which only captures the most intense MHWs [9], to more relaxed thresholds, such as the commonly used 90th-percentile, which is relatively easy to exceed and results in the identification of weaker and short-lived events [51]. In this study, we employed a 95th percentile threshold to accurately project heatwaves in the future while excluding small and short-lived events.
In contrast to previous studies, we used a moving 30-year baseline period to calculate temperature climatology and anomaly time series. For every grid point and depth level, we computed the 95th quantile of daily ocean temperature based on the climatology of the 30-year period preceding each day, constructing a 3D threshold map. The first 30 years (2006-2035) of the simulations of the ocean circulation model were solely used as the first baseline period for calculating the climatology for 2036; MHW metrics were not calculated for that period.
To define MHW events at each grid cell, we identified days where the local 95th percentile threshold was exceeded. An event was considered to occur when daily temperatures exceeded the seasonally varying threshold for at least five consecutive days. Consecutive events with a break of fewer than 3 days were considered a single event [50]. To calculate the climatological mean and threshold, we used daily ocean temperatures within an 11-day window centered on the calendar day of interest across all years within the climatology period [50]. The resulting climatology and threshold were smoothed by applying a 31-day moving average [50].
MHW metrics were used to characterize the identified events, focusing on two globally projected response metrics: annual MHW duration and annual mean MHW intensity. Annual MHW duration refers to the annual count of MHW days exceeding the temporal threshold for more than five consecutive days. The annual mean MHW intensity (Imean) represents the annual spatiotemporal mean temperature anomaly reached, calculated relative to the threshold over the event duration experienced yearly. Μaximum MHW intensity (Imax), representing the annual spatiotemporal maximum temperature anomaly was also calculated and gave similar to Imean results (for Imax results see Supplementary material) These metrics represent the time spent in a MHW state and the magnitude of the temperature anomaly, respectively [50]. The temporal changes of these metrics were analysed over the mid-century (2036-2066) and end-of-century (2070-2100) time period. Temporal changes over the entire period (2036-2100) were also calculated (for results see Supplementary material).
Identifying distinct zones
Based on the aforementioned metrics, we identified two distinct zones that exhibited similar patterns and examined their properties through time and space. The first zone extended from the surface down to a depth of 40 m and represented shallow MHW events, while the second zone extended down to a depth of 2000m and represented deeper subsurface extreme events. For each individual depth layer, we computed the non-parametric Mann-Whitney U test to investigate whether depth-specific MHWs are independent of the surface events based on the two metrics, annual MHW duration and mean intensity. A p-value greater than 0.05 MHWs indicates no statistical difference to the surface events and therefore events at those depths were categorized as shallow events of likely surface origin. Depths with uncorrelated events to the surface (p-value< 0.05) were classified as deep subsurface MHW events. Subsurface MHW events were presented based on the ocean’s biogeographical zones: Epipelagic- down to 200 m depth, Mesopelagic- 200 to 1000 m, and Bathypelagic- deeper than 1000 m [29,30].
References
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