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in situ temperature measurements (Figure 2) collected at three locations (NDBC buoys)
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along the Florida Keys and Biscayne Bay (Figure 1). The NDBC SST in Fowey Rock,
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at the vicinity of Biscayne Bay (Buoy FWYF1), followed a clear seasonal variation from
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January 2005 to May 2007 (Figure 2a) with a mean level of 26.6 ◦C (Figure 2b). The
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satellite-derived timeseries followed a similar distribution revealing a very high correlation
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(Rp: Pearson Correlation Coefficient) and a small Root Mean Square Error (RMSE) with
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the field measurements (Rp = 0.97 and RMSE = 0.68 ◦C; Figure 2b); the respective mean
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value (26.42 ◦C) is slightly smaller than the one measured directly at the sea surface. The
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agreement between the two products is better at Buoy MLRF1, located at the Key Largo
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coastal area (Figure 1), where both timeseries showed a similar increasing trend (Figure 2c)
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and a linear regression very close to the x = y identity line (Figure 2d). The Pearson
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correlation coefficient and the RMSE confirm the very good performance of the satellitederived data (Rp = 0.98 and RMSE = 0.50 ◦C; Figure 2d). The correlation is even higher at the
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Water 2022, 14, 3840 7 of 28
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lower Keys (Buoy SANF1; Figure 1) during 2005, when the Pearson coefficient is Rp = 0.99
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and the RMSE is less than 0.5 ◦C (Figure 2f). The satellite-derived SST data are capable to
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describe all short-term peaks and lows that exceed the typical range of the seasonal cycle;
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the extremely high values in August 2005 (>31 ◦C) and the large drop of approximately
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2
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◦C at the end of the same month (28 ◦C) are apparent at both field and satellite timeseries
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(Figure 2e). Thus, we conclude that the high-resolution satellite-derived SST daily fields
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are suitable to investigate not only the open sea and shelf SST variability [44] but also the
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temperature distribution and the formation of MHWs over the South Florida coastal region.
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Water 2022, 14, x FOR PEER REVIEW 8 of 31
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Figure 2. (a) Daily evolution of Sea Surface Temperature (SST; °C) derived from the satellite data
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(black line) and the NDBC Stations (red dots) (a) FWYF1 (coastal area of Miami), (c) MLRF1 (UpperKeys), and (e) SANF1 (Lower-Keys). The respective scatter diagrams (b,d,f) between the two
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timeseries for each case are also shown. The linear regressions (trends and timeseries comparison),
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the mean values, the Pearson correlation coefficients (Rp), the tests of statistically significant correlation (pvalue), and the Root Mean Square Errors (RMSEs) for all cases are presented.
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3.2. Interannual Variability of SST
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The mean annual SST levels over the entire study domain revealed an increasing
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trend during the 1981–2021 period, following the respective air temperature interannual
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trend (Figure 3a). In addition to the Mann–Kendall method that identifies the trend, we
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employ the Sen’s slope [54] to characterize the magnitude of the change. We found that
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both trends are characterized by positive Sen’s Slopes of 0.19 °C/decade and coefficient of
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determination R2 = 0.46 for SST, and 0.21 °C/decade and R2 = 0.42 for air temperature. The
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increasing trends are statistically significant (pvalue < 0.01: statistical significance level 99%).
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ThSSTldd263°Ci1982dhdthllf27°C40Figure 2. (a) Daily evolution of Sea Surface Temperature (SST; ◦C) derived from the satellite data
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(black line) and the NDBC Stations (red dots) (a) FWYF1 (coastal area of Miami), (c) MLRF1 (UpperKeys), and (e) SANF1 (Lower-Keys). The respective scatter diagrams (b,d,f) between the two timeseries for each case are also shown. The linear regressions (trends and timeseries comparison), the
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mean values, the Pearson correlation coefficients (Rp), the tests of statistically significant correlation
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(pvalue), and the Root Mean Square Errors (RMSEs) for all cases are presented.
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3.2. Interannual Variability of SST
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The mean annual SST levels over the entire study domain revealed an increasing
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trend during the 1981–2021 period, following the respective air temperature interannual
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Water 2022, 14, 3840 8 of 28
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trend (Figure 3a). In addition to the Mann–Kendall method that identifies the trend, we
|
employ the Sen’s slope [54] to characterize the magnitude of the change. We found that
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both trends are characterized by positive Sen’s Slopes of 0.19 ◦C/decade and coefficient
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of determination R2 = 0.46 for SST, and 0.21 ◦C/decade and R2 = 0.42 for air temperature.
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The increasing trends are statistically significant (pvalue < 0.01: statistical significance level
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99%). The SST values ranged around 26.3 ◦C in 1982 and reached the mean level of 27 ◦C
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40 years later, in 2021. The highest peaks were observed after 2015 and especially during
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2019–2020, when the mean annual SST over the entire region reached the level of 27.4 ◦C.
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On the contrary, the lowest annual level was observed in 1984 (<26 ◦C). Despite the general
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positive trend, a period of relatively low SST that flattened the linear trend occurred
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between 2004 and 2013, following a similar stagnation period in the air temperature levels,
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which revealed a significant drop in 2010 (<24 ◦C). A respective increasing trend was
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also computed for the 99th SST percentiles, that represent the highest values of each year
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(Figure 3b). The 99th percentile of SST revealed a steeper trend over the 40-year period
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characterized by a higher statistical significance (pvalue < 0.01) Sen’s Slope (0.21 ◦C/decade;
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R
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2 = 0.35) in comparison to the mean values. The beginning and the end of the period
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show a mean difference of approximately 1.5 ◦C. The highest and lowest 99th percentiles
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of SST were also computed for 2019 and 1984, respectively. The increasing trend that
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was computed for the minimum SST levels was milder than the mean and maximum
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values, while the positive Sen’s Slope was smaller (0.05 ◦C/decade) and not statistically
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significant (pvalue > 0.01). A year of very distinctive behavior was 2010, when although
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the colder air conditions prevailed (<24 ◦C; Figure 3a) and the lowest minimum SST levels
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also occurred (Figure 3c), the 99th percentile was relatively high (30.7◦
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; Figure 3b) resulting
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in the largest annual variance among all years (>9 ◦C; Figure 3d). According to Soto et al.
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(2011) findings, 2010 can be characterized as a year of high risk on coral losses. The cold
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January of 2010 (Colella et al., 2012) affected the water temperature levels and reduced
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the mean annual levels, but very high SST levels also occurred during the summer period,
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increasing the 99th percentile annual variance. It is concluded that the observed general
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increasing trend is mainly related to the summer maximum values and less related to
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increases during the winter periods. For most of the years, the variance of the annual
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values ranges between 5 ◦C and 6 ◦C, with a very small increasing trend throughout the
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entire period (0.05 ◦C/decade; Figure 3d). Even though the variance showed a small
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increasing trend, indicating larger seasonal differences, the annual variance is relatively
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small (<5 ◦C) during the last decade (2012–2021), when all winter and summer levels were
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high, confirming the general warming of the ocean; the highest minimum temperatures
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were observed during the same period (Figure 3c).
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3.3. Spatial Variability of SST
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The spatial variability of the seasonal 10th and 90th percentiles is presented in Figure 4.
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The 10th percentile represents the 10% chance that the temperature fell below this threshold
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during the study period; anything below the 10th percentile is considered unseasonably
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cool. Very low temperature levels, associated with cold water events, may have fatal
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consequences on coral communities [22] but may also reduce the occurrence frequency of
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the MHW events during the winter months [12]. The 90th percentile describes the 10%
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chance that SST was above this threshold, and anything above it is considered unseasonably
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warm. The monthly 90th percentile was used as the temperature climatology (threshold)
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for the MHW computation (see Section 3.4). The colder waters have been detected over the
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entire WFS between January and March (<17 ◦C; Figure 4), while very low SST also occurred
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along the western Florida coast in December. Over the same areas and months, the 90th
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percentiles were relatively low (<24 ◦C) revealing their lowest values between the coastal
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region of Tampa (28◦ N) and Fort Myers (26◦ N). The highest 10th and 90th percentile values
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were computed during July-September for the entire study domain; especially the 10th
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percentiles were homogenously distributed over all areas. The maximum 90th percentiles
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were computed over the southern WFS (>31 ◦C), and especially along the northern coasts
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Water 2022, 14, 3840 9 of 28
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of the Florida Keys during the summer months and early fall. The high 90th percentiles are
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