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--> --> --> -->3.1. Validation of the ERA-Interim reanalysis data
In order to validate the data from the reanalysis, spatial correlations between air temperature from ERA5 and each one of the AWSs are presented in Fig. 2. The correlation at each grid point was obtained between daily air temperature (2005?15) from ERA5 and the observation from each AWS, which was assumed to be the same at all grid points (i.e., the single temperature from the AWS was applied to all grid points). The deseasonalized air temperature from ERA5 shows good agreement with the observations from the three AWSs, with correlation coefficients generally above 0.5, and even above 0.8, with the observations from the Eneide and Manuela AWSs. Figure 3 shows the time series of the averaged air temperature from five grids in ERA5 and ERA-Interim and the observations by the three AWSs during 2005?15. The air temperature in the five grids from the two reanalysis datasets all show similar trends to the observations. Generally, the air temperature from ERA5 is higher than that from ERA-Interim and is closer to the observations of Eneide and Rita AWS. The observation from Manuela is lower than the other two observations and the reanalysis. The agreement between the air temperature from the reanalysis and AWS observations was also discussed in Fusco et al. (2002). One should note, however, that the three AWSs are in different geographical locations and therefore may cause different correlations with the reanalysis shown in Fig. 2. The Manuela AWS is located on the Nansen ice shelf and is directly affected by the cold air from the ice sheet, resulting in the records of lower air temperature. According to the observatory at MZS (http://www.climantartide.it), the records from the Eneide and Rita AWSs are corresponding to the TNB and Enigma Lake respectively, which might be the reason why the correlation between the reanalysis and the observation by Eneide is stronger than by Rita. Though the two AWSs are close, the different environmental conditions will cause the difference in air temperature observations (i.e., the AWS located in the valleys at MZS may record higher air temperature than the AWS located on the ice shelf due to the effect of winds).Figure2. Correlations between the deseasonalized air temperature from the ERA5 reanalysis and observations from the (a) Eneide, (b) Rita and (c) Manuela AWSs.
Figure3. Time series of the average air temperature from the grids in ERA5 and ERA-Interim reanalysis and observations by Eneide, Rita and Manuela AWS in the period 2005?15. Panels (a?e) are the time series of each reanalysis grid shown in (f).
The daily averaged SSHF and SLHF in the polynya from the two reanalysis datasets are both higher than other areas, especially for the data from ERA5 (Fig. 4). The heat flux from ERA5 is larger than that from ERA-Interim and shows a more evident polynya pattern. According to Fusco et al. (2009), the annual mean of the surface heat budget in TNB during 1990?2006 was around 120 W m?2, which is equal to a daily averaged heat flux of ~104 × 105 J m?2. We considered this to be consistent with the total heat flux in Fig. 4 (note: the daily averaged SSHF and SLHF in TNB is about 70 × 105 J m?2 and 30 × 105 J m?2 from ERA5). Therefore, considering the agreement of the air temperature between the reanalysis and observations as well as the heat flux in the polynya area shown in the reanalysis, we assumed that the reanalysis data, especially for ERA5, in TNB is of good enough quality and therefore could be applied in this study (note: ERA5 is the primary reanalysis dataset used in the following analyses, with ERA-Interim only used for support).
Figure4. Average of daily sensible and latent heat flux in the period of April to August during 2005?15: (a, b) sensible and latent heat flux from ERA5 reanalysis; (c, d) sensible and latent heat flux from ERA-Interim reanalysis.
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3.2. Time series of polynya area and air temperature
Figure 5 shows the average air temperature from the three observations (Eneide, Rita and Manuela AWSs) and the ERA5 reanalysis, corresponding to the polynya area in the period of March to November. The air temperature decreases rapidly in March and gradually increases after September. During the polar night (April to August), the air temperature is generally stable and shows downward trends for both observations and reanalysis. This is the period when the outer edge of the polynya becomes stable and marks the edge of the fully consolidated pack ice (the period is indicated by the white band in Fig. 5). The average temperature in this period from the Eneide, Rita and Manuela AWSs is ?20.29°C ± 5.36°C, ?21.59°C ± 5.40°C and ?25.24°C ± 5.02°C, respectively, and the average temperature from ERA5 is ?21.20°C ± 4.16°C.Figure5. Time series of the average air temperature (left-hand y-axis) from observations and ERA5 reanalysis and the corresponding averaged polynya area (right-hand y-axis) in the period of March to November during 2005?15.
As the temperature decreases in March, TNB is quickly covered by sea ice and the open water area shows a clear downward trend during the polar night (April to August). The temporally averaged area is 2310.83 ± 758.32 km2 during the polar night [note: the daily and monthly polynya area in the whole period of 2005?15 are shown in Fig. S1 and S2 in the electronic supplementary materials (ESM)]. The monthly averaged area decreases from 3250.95 km2 in April to 1802.49 km2 in August, which is consistent with the decreasing trend of air temperature at polar night. A significant increase in the open water area in TNB occurs after October, later than the recovery of the air temperature. The difference for the polynya area calculated from AMSR-E and SSMIS during their overlapping period is 488 km2, and from AMSR-2 and SSMIS during their overlapping period it is 353 km2; both are lower than the standard deviation of 758.32 km2. Therefore, we considered that the area difference caused by the different SIC sources was acceptable.
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3.3. Relationships of the polynya with winds and air temperature
Figure 6 shows the partial correlation coefficients between the polynya area and the air temperature from the three observations and the reanalysis data of ERA5 and ERA-Interim in the period of April to August during 2005?15. The partial correlation was performed by controlling two (i.e., eastward and northward wind speed) of the three factors and calculating the correlation coefficient between the area and the remaining factor (i.e., air temperature). The results show that the deseasonalized data (Fig. 6a) have similar correlations with the raw data (Fig. 6b). All 1639 observations and reanalysis data were used to calculate the correlation between the polynya area and each atmospheric variable (eastward, northward wind and air temperature), except for the observations from Manuela AWS. There were 1363 observations of air temperature and 724 observations of wind speed from Manuela AWS (note: the specific amounts of reanalysis data and observations are shown in Table S1 in the ESM; the information of the observed wind speed against the air temperature are shown in Fig. S3 in the ESM). The correlation coefficients between the deseasonalized polynya area and air temperature are 0.44 and 0.47 based on ERA5 and ERA-Interim; and 0.39, 0.29 and 0.32 based on the observations of the Eneide, Rita and Manuela AWSs. The statistically significant correlation coefficients for the raw data are higher but have the same signs as those of the deseasonalized data. The correlations of polynya area with air temperature from reanalysis and observations are all higher than those with the eastward and northward wind speed. The polynya area is negatively correlated with the northward wind as a result of the inshore wind, which helps push the sea ice into the polynya.Figure6. Correlations of the polynya area with air temperature, eastward and northward wind speeds from the observations and reanalysis of ERA5 and ERA-Interim: (a) deseasonalized data; (b) raw data. The unshaded columns indicate statistically significant correlations (95% confidence level).
Spatial maps of the temporal correlation coefficients between the polynya area on the one hand and air temperature, eastward and northward wind from ERA5 on the other hand are shown in Fig. 7. The correlation coefficient at each pixel in the map results from having correlated the time series of ERA5 (2005?15) with the time series of the polynya area, which was fixed for all pixels. Air temperature is weakly correlated with the polynya area near the shore, but the correlation gradually increases offshore (Fig. 7a). The greater correlation offshore may result from a longer period for it to have been influenced by the open water in the polynya, while the air temperature near the coast is easily disturbed by the strong winds. An opposite trend is demonstrated by the eastward wind (Fig. 7b). The winds near the coast are more correlated with the polynya area than the winds far from the coast. This could be explained by the decreasing effect of the offshore wind on the removal of the sea ice in TNB as the downwind distance increases. The northward wind usually acts as an inshore wind and impedes the outflow of the polynya ice, therefore showing a negative correlation with the polynya area in TNB (Fig. 7c). This negative correlation is weaker than the positive correlation of the polynya area with air temperature and eastward wind speed.
Figure7. Spatial correlation between the deseasonalized polynya area and (a) air temperature, (b) eastward wind speed and (c) northward wind speed from the ERA5 reanalysis and regressed (d) sensible and (e) latent heat flux against air temperature. The undotted areas indicate statistically significant correlations (95% confidence level).
The correlation between the eastward/northward wind speed and the polynya area is due to the winds forcing on the polynya. Even though the positive correlation between air temperature and polynya area has been established, the causality is still unknown. This raises the question of which one (air temperature or polynya area) is the stimulus and which is the response, or if the two factors interactively affect each other. It is worth noting that if the air temperature is the response, then the correlation coefficient between the heat flux and air temperature should be positive. However, the negative correlations between the SSHF and the air temperature (Fig. 7d) and the near-zero regression coefficient between the SLHF and air temperature (Fig. 7e) suggest that the heating effect of the heat transport on the air temperature is very weak, or at least the air temperature is not the major response to the polynya area. Nevertheless, it does not mean that the air temperature is the stimulus either. The negative correlation (Fig. 7d) between the SSHF and the air temperature is primarily from the temperature gradient. In austral winter, the sea surface temperature varies less than the air temperature and therefore the temperature gradient between the air and sea surface is mainly determined by the air temperature (note: the sea surface temperature is higher than the air temperature in the winter of TNB). The increase in air temperature will weaken the temperature gradient and then reduces the flux transport (Fig. 7d). Though the latent heat is released as water freezes and also as water evaporates into the air above the open water, neither of them is the major source to warm the air temperature, which is consistent with the near-zero regression coefficient between the SLHF and the air temperature (Fig. 7e). The process is called “latent” because it is not associated with a change in temperature, but rather with a change of state (
To further examine the potential causality between the polynya area and air temperature, we calculated the lead and lag correlations between the two factors in the following conditions: (i) the air temperature is one to ten days before the polynya area (Fig. 8a); (ii) the polynya area is one to ten days before the air temperature (Fig. 8b). The results show that the correlation is significantly positive when considering either one of the two factors (air temperature and the polynya area) is one to two days before the other. The positive correlation gradually weakens as the lead/lag days increase. The correlation is higher when the air temperature leads the polynya area (Fig. 8a), which suggests that the effect of air temperature on the polynya area might be stronger than the other way around. The negative correlations between the air temperature and the heat flux (Fig. 8c and Fig. 8d) also suggest that the heating of the polynya on the air temperature is very weak, no matter which factor (air temperature or the heat flux) leads the other. We therefore hypothesize that the forcing of air temperature to the polynya area (due to ice formation) may be higher than the heating effect of the polynya on the air temperature (due to heat flux transport). However, the above analyses cannot give a certain conclusion. Considering the complicated interaction between the polynya area and the air temperature, we mainly focus on the relationship between the two factors not the causality in the following analyses.
Figure8. The lead and lag correlations between the deseasonalized air temperature and the polynya area and between the air temperature and heat flux: (a) the air temperature is before the polynya area; (b) the polynya area is before the air temperature; (c) the air temperature is before the sensible and latent heat flux; (d) the sensible and latent heat flux are before the air temperature. The columns marked with red stars indicate statistically significant correlations (90% confidence level).
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3.4. Relationship at specific temperatures
To estimate the specific relationship, we divided the air temperature into 10°C intervals. Figure 9 shows that the correlation between the deseasonalized air temperature and the polynya area could be divided into three categories. First, air temperature higher than approximately ?14°C around the coast shows a significant positive correlation with the polynya area, with a coefficient near the shore above 0.8 when the air temperature is within approximately ?10°C to 0°C (Fig. 9a). The area of significant correlations gradually retreats as the air temperature decreases in this category (Fig. 9b and 9c). The significant correlations appearing near the coast are partly due to the large variabilities of sea ice formation in TNB in the early decreasing and recovery stage of air temperature, during which the temperature is relatively higher (note: the boundary of the polynya is uncertain in this period). The strong correlation between the air temperature and the eastward wind speed in Fig. 10b (approximately ?10°C to 0°C) suggests that the positive relationships might be due to the relation of air temperature with the eastward wind in the intervals. Second, the polynya area shows weak and negative correlations with the air temperature as the temperature decreases to ?20°C (Figs. 9d, e and f). The negative correlations distribute widely over the polynya with the small coefficients around ?0.2. According to Fig. 10b, the correlations between the air temperature and the northward wind speed strengthen in this category, which may cause the corresponding negative correlations between the air temperature and the polynya area (note: the northward winds impede the sea ice moving out of the polynya and therefore contribute negatively to the polynya area). Third, even lower air temperatures (i.e., below about ?20°C) have a broader positive correlation with the polynya area. The significant correlations distribute widely over the polynya with the coefficients greater than 0.4 (Figs. 9g, h and i). The widely distributed stronger correlations in the third category indicate that the lower air temperature has a closer relationship with the polynya area.Figure9. Correlations between the deseasonalized polynya area and the air temperature from the ERA5 reanalysis in the different temperature intervals. The undotted areas indicate statistically significant correlations (95% confidence level).
Figure10. Correlations of the deseasonalized polynya area with (a) the air temperature and eastward and northward wind speed and (c) the sensible and latent heat flux. Correlations of the deseasonalized air temperature with (b) the eastward and northward wind speed and (d) the sensible and latent heat flux. The air temperature, wind speed and heat flux are from the ERA5 reanalysis. The columns marked with red stars indicate statistically significant correlations (95% confidence level).
Figure 10a shows the partial correlation of the deseasonalized polynya area with air temperature, eastward and northward wind speed in each interval. The partial correlation was performed by controlling two of the three atmospheric variables (air temperature, eastward and northward wind speed) and calculating the correlation coefficient between the remaining one and the polynya area. The results show that the correlation coefficients of the polynya area with eastward and northward wind speed gradually decline as air temperature drops, while the correlation between the air temperature and the polynya area increases. The eastward and northward wind speed show significant positive and negative correlation with the polynya area in almost all intervals. Nevertheless, the higher correlation coefficients above 0.6 for eastward wind and below ?0.4 for northward wind with the polynya area, usually appear in higher air temperature intervals. Significant correlations between the air temperature and the polynya area only occur in lower temperature intervals and gradually increase from 0.16 to 0.52 as temperature decreases, which is consistent with the spatial correlation shown in the third category in Fig. 9. According to the weak and non-significant correlation between air temperature and eastward wind speed (Fig. 10b), the positive relationship between low air temperature and the polynya area is not from the synergistic relation with the eastward wind speed. The SSHF and SLHF will increase as the polynya area increases and this phenomenon is shown in all temperature intervals (Fig. 10c). However, the negative and weak correlations of the air temperature with the SSHF and SLHF (Fig. 10d) suggest that heating of the air by the polynya is unimportant for all temperature intervals, which agrees well with the previous analyses.
According to the above analyses, the positive correlation between the polynya area and the air temperature is unlikely due to the heating effect of the polynya through the heat transport. Here, we hypothesize that the low air temperature may have a forcing on the polynya area through new ice formation, which may result in the positive correlation with the polynya area. Based on this hypothesis, the low air temperature may contribute more to the variations in polynya area than the winds, i.e., in the interval of ?30°C to ?20°C, the air temperature accounts for about 25% of the variations in polynya area, larger than the contribution from the eastward (~16%) and northward (~3%) wind speed.
The pressure gradient between the ice sheet and the ocean surface is also affected by air turbulence, which influences the output of katabatic winds. Strong pressure gradients are more likely to disrupt the production of cold air in winter as a result of mixing between warm maritime air and cold continental air (Bromwich, 1989). However, considering the very weak correlation between wind speed and lower air temperature (Fig. 10b), we suggest that the polynya area is more directly related to the low air temperature and not the synergistic relation with winds. The surface conductive heat flux of thin ice at ?20°C ± 1°C is about twice that at ?10°C ± 1°C (Lei et al., 2010). It has been observed that open water rapidly freezes when the air temperature is very low. The Canadian Ice Service observed that thin ice quickly thickens to 100 mm within 24 hours at a steady air temperature of ?25°C (Shokr and Sinha, 2015). Though the effect of lower air temperature on the polynya area from the aspect of the rapid ice formation is a hypothesis in this study, it needs to be seriously considered in further studies of the polynya, i.e., the TNBP. It is essential to examine the relationship between the specific temperatures and the polynya, for the objective of obtaining detailed polynya variations. Though the TNBP is a smaller polynya in the Antarctic, the high rate of sea ice production and high-salinity shelf water in the polynya will directly affect the Antarctic bottom water in the Ross Sea and, in turn, the circumpolar deep water currents. Our study shows a changing relationship between the air temperature and the polynya area at specific temperature intervals. Further studies will apply a regional model to Antarctic coastal polynyas to examine the underlying mechanisms.
The polynya area estimated in the study was based on the microwave products of SIC. Previous studies have proposed another method to retrieve the polynya area by using the MODIS IST data (Ciappa et al., 2012; Aulicino et al., 2018). The MODIS IST data derived from the thermal infrared MODIS bands provide new polynya observations of high horizontal resolution (1 km) and seem to have higher accuracy in area estimation than the microwave data. Table 1 shows the TNBP area estimated in different research. The area of ~0.9 × 103 km2 estimated from the MODIS IST data is smaller (Ciappa et al., 2012), which might be due to the smaller size of the subregion of TNB and the finer resolution of the MODIS data. The polynya area estimated in Kern (2009) and Martin et al. (2007) are both from the microwave data but based on different methods. Kern used the difference of the brightness temperature, while Martin et al. used ice thickness to determine the polynya area. The average area estimated in this study is about 1.5 × 103 km2 larger than that from the MODIS IST. However, the results show that the polynya areas estimated from the microwave data based on the different methods [4.2 × 103 km2 in Kern (2009) and 3.0 × 103 km2 in Martin et al. (2007)] are both greater than that from the MODIS IST. The difference is highly likely due to the different datasets. In general, the area estimated in this study is smaller than that from Kern (2009) and Martin et al. (2007), which also used the microwave data for area estimation, but our results range in the middle of the three given studies. The difference is highly likely due to the different study periods and the methods used for the area estimation [note: the area in Kern (2009) and Martin et al. (2007) was estimated during 1992?2002].
Year | TNBP area (×103 km2) estimated from | |||
This study | Ciappa et al. (2012) | Kern. (2009) | Martin. et al. (2007) | |
2005 | 2.4 | ~0.97 | ||
2006 | 1.8 | ~0.60 | ||
2007 | 3.1 | ~0.98 | ||
2008 | 3.0 | ~0.90 | ||
2009 | 2.7 | ~0.93 | ||
2010 | 3.1 | ~0.85 | ||
2011 | 1.8 | |||
2012 | 2.3 | |||
2013 | 2.4 | |||
2014 | 2.3 | |||
2015 | 1.6 | |||
Average | 2.4 ± 0.5 (2005?15) | ~0.87 ± 0.14 (2005?10) | 4.2 ± 0.8 (1992?2002) | 3.0 ± 0.8 (1992?2002) |
Note: The polynya area from this study, Ciappa et al. (2012) and Martin et al. (2007) was estimated in the period of April to October. The polynya area from Kern (2009) was estimated in the period of June to September. |
Table1. Averaged polynya area estimated from this study and previous research.