Analysis of Sea Ice Timing and Navigability along the Arctic Northeast Passage from 2000 to 2019

: The ablation of Arctic sea ice makes seasonal navigation possible in the Arctic region, which accounted for the apparent inﬂuence of sea ice concentration in the navigation of the Arctic route. This paper uses Arctic sea ice concentration daily data from January 1, 2000, to December 31, 2019. We used a sea ice concentration threshold value of 40% to deﬁne the time window for navigating through the Arctic Northeast Passage (NEP). In addition, for the year when the navigation time of the NEP is relatively abnormal, we combined with wind ﬁeld, temperature, temperature anomaly, sea ice age and sea ice movement data to analyze the sea ice conditions of the NEP and obtain the main factors affecting the navigation of the NEP. The results reveal the following: (1) The sea ice concentration of the NEP varies greatly seasonally. The best month for navigation is September. The opening time of the NEP varies from late July to early September, the end of navigation is concentrated in mid-October, and the navigation time is basically maintained at more than 30 days. (2) The NEP was not navigable in 2000, 2001, 2003 and 2004. The main factors are the high amount of multi-year ice, low temperature and the wind ﬁeld blowing towards the Vilkitsky Strait and sea ice movement. The navigation time in 2012, 2015 and 2019 was longer, and the driving factors were the high temperature, weak wind and low amount of one-year ice. The navigation time in 2003, 2007 and 2013 was shorter, and the inﬂuencing factors were the strong wind ﬁeld blowing towards the Vilkitsky Strait. (3) The key navigable areas of the NEP are the central part of the East Siberian Sea and the Vilkitsky Strait, and the Vilkitsky Strait has a greater impact on the NEP than the central part of the East Siberian Sea. The main reason for the high concentration of sea ice in the central part of the East Siberian Sea (2000 and 2001) was the large amount of multi-year ice. The main reason for the high concentration of sea ice in the Vilkitsky Strait (2000 to 2004 and 2007, 2013) was the strong offshore wind in summer, all of which were above 4 m s − 1 , pushing the sea ice near the Vilkitsky Strait to accumulate in the strait, thus affecting the opening of the NEP.


Introduction
In the past 30 years, Arctic sea ice has changed rapidly [1,2], with a warming rate of about 0.6 ± 0.07 • C per 10 years [3]. The annual average extent of Arctic sea ice also showed a decreasing trend, with the decreasing rate rising from 3% to 10% per 10 years [4], the thickness of sea ice has become thinner [5,6], and the melting season has been extended [7]. Studies have shown that, up to 2019, the average global temperature for 2015 to 2019 is on track to be the warmest of any equivalent period on record, and the four lowest values of winter sea ice extent occurred in these five years [8]. Significantly climate warming strengthened the ablation of polar sea ice and improved the ability of seasonal navigation in the Arctic. The change of Arctic sea ice showed an apparent influence on the navigation of the NEP. Factors such as solar radiation, temperature, wind field and other natural factors can always affect the melting process and freezing time of sea ice. Therefore, the navigation time of the NEP shows highly uncertain. Among many Arctic routes, the NEP has significant advantages, which can save 15-50% of the voyage [9,10], greatly shortening the transportation distance from Western Europe to Northeast Asia.
Smith et al. [11] obtained the best route in the Arctic seas based on the data of Arctic sea ice concentration and thickness in September. Rodrigues [12] used sea ice concentration data from 1979 to 2007 to study the sea ice coverage and the length of the ice-free season in the Arctic marginal area. Ruibo et al. [13] used remote sensing data from 1979 to 2012 to study the interannual and seasonal spatial variations of sea ice in the Northwest Passage (NWP), and found that the navigation period of the NWP increased by 32 days in 32 years. Dawei et al. [14] used NSIDC sea ice products to study the kinematic characteristics of sea ice in the Arctic Fram Strait and the northern part of the NEP. It was found that the opening period of the NEP has a significant relationship with the northward speed of the sea ice in the north. Polona et al. [15] used airborne sea ice thickness data from the floating ice areas in the southeast of the Laptev Sea in winter and found that the export volume of sea ice in winter strengthens the ablation of summer sea ice in the Laptev Sea. Chen et al. [16] look at future scenarios in a modeling experiment, but they also focused on the NEP and (at times) the Vilkitsky Strait. Zhiyuan Li [17] analyzed the characteristics of the Arctic ice conditions in summer and modified the risk index of polar business limit assessment to evaluate the navigation risk. Yangjun Wang [18] developed a new model to study the influence of sea ice conditions on the navigation of the NEP from 2020 to 2030, and found that the concentration and thickness of sea ice are the key factors for the navigation of icebreakers. Yu et al. [19] notes the importance of wind direction on determining whether sea ice is advected into or away from Vilkitsky Strait. Long Ma et al. [20] used sea ice concentration data from 2006 to 2015 and the first voyage route of the "Yongsheng" NEP in 2013 to obtain the 10-year navigation window of the NEP and analyze the navigation situation of the sea area through which the NEP passes. Xinqing et al. [21] used sea ice concentration data from 2002 to 2013 to study the sea ice distribution characteristics and navigation of the Vilkitsky Strait in the Arctic, which shows that the navigation time of the strait is basically more than 40 days per year, and the opening time varies from July to September. The ending time is relatively concentrated in October. Shang Meng et al. [22] used sea ice concentration data to analyze the sea ice variations and navigation conditions in the NEP, and concluded that the NEP is most likely to be opened in September. Most of the research is based on the data of sea ice concentration in the past 10 years or the study of navigation conditions in a small range of Arctic waters. The space-time span of the study is relatively small, and the abnormal years of channel opening are not analyzed.
Sea ice concentration is a crucial factor for studying variations in sea ice conditions and route navigation. In this study, we used SSM/I (Special Sensor Microwave/Imager) and SSMIS (Special Sensor Microwave Imager/Sounder) sea ice concentration data from 2000 to 2019, combined with Arctic summer wind field, temperature, temperature anomalies, sea ice age and sea ice movement data, to analyze the characteristics of annual, seasonal and monthly sea ice variations in the NEP of the Arctic in the past 20 years, extracted the navigation window of the NEP in the past 20 years, and analyzed the ice conditions in the years of abnormal navigation. How to safely use the Arctic sea ice window to cross the Arctic is the focus of current research. Through the analysis of this article, we can have a more comprehensive understanding of the temporal and spatial variations of sea ice and navigation conditions of the NEP in the last 20 years, and provide certain references for the future development and utilization of the NEP.

Study Region
We selected the NEP as the study area, which runs through the Arctic region and is one of the crucial Arctic routes. The NEP is a passage starting from the Norwegian Sea, passing through the Barents Sea, Kara Sea, Laptev Sea and East Siberian Sea to the Bering Strait. As shown in Figure 1, the starting point of the route in this article we focused on is the Bering Strait (central geographic coordinates: 53.5 • N, 170.3 • E), with a total length of 5246.86 nautical miles: 0-1311.71 nautical miles is the Bering Strait, 1311.71-2098.74 nautical miles is the East Siberian Sea, 2098.74-2885.77 nautical miles is the Laptev Sea, 2885.77-3410.46 nautical miles is the Kara Sea, and 3410.46-3935.14 nautical miles is the Barents Sea. Between November and April, the NEP may be covered by sea ice completely. In May, the sea ice on the NEP begins to melt, and the melting continues until September, when the sea ice concentration on the NEP reaches a minimum. During the Arctic summer, sea ice concentrations decrease due to sea ice melt. There can be short periods of ice-free time in the NEP, which provides convenience to the merchant ships scheduling the voyage, and the commercial value of the NEP has become increasingly prominent.

Study Region
We selected the NEP as the study area, which runs through the Arctic region and is one of the crucial Arctic routes. The NEP is a passage starting from the Norwegian Sea, passing through the Barents Sea, Kara Sea, Laptev Sea and East Siberian Sea to the Bering Strait. As shown in Figure 1, the starting point of the route in this article we focused on is the Bering Strait (central geographic coordinates: 53.5° N, 170.3° E), with a total length of 5246.86 nautical miles: 0-1311.71 nautical miles is the Bering Strait, 1311.71-2098.74 nautical miles is the East Siberian Sea, 2098.74-2885.77 nautical miles is the Laptev Sea, 2885.77-3410.46 nautical miles is the Kara Sea, and 3410.46-3935.14 nautical miles is the Barents Sea. Between November and April, the NEP may be covered by sea ice completely. In May, the sea ice on the NEP begins to melt, and the melting continues until September, when the sea ice concentration on the NEP reaches a minimum. During the Arctic summer, sea ice concentrations decrease due to sea ice melt. There can be short periods of ice-free time in the NEP, which provides convenience to the merchant ships scheduling the voyage, and the commercial value of the NEP has become increasingly prominent.

Sea Ice Concentration Data
In this article, we use the sea ice concentration data of SSM/I-SSMIS (Special Sensor Microwave/Imager-Special Sensor Microwave Imager/Sounder) provided by the National Snow and Ice Data Center (NSIDC In this article, we use the sea ice concentration data of SSM/I-SSMIS (Special Sensor Microwave/Imager-Special Sensor Microwave Imager/Sounder) provided by the National Snow and Ice Data Center (NSIDC). The data set is Sea Ice Concentrations from Nimbus-7 SMMR and DMSP SSM/I-SSMIS Passive Microwave Data (https://nsidc.org/data/nsidc-0051; accessed on 25 November 2020) [23], the version is Version 1. The spatial resolution of the data is 25 km, the temporal resolution is 1 day, and the time span is 1978-2020. The data are provided in the polar stereographic projection at a grid cell size of 25 × 25 km. The data set has a long time span, wide coverage and completeness, which is convenient for sea ice analysis for nearly 20 years. Since the data obtained in this article is in November 2020, we select the sea ice concentration data on the NEP of the Arctic from 1 January 2000 to 31 December 2019 in the data set for the analysis of this article.

Auxiliary Data
In this article, we use the seasonal average data of wind field, temperature, temperature anomaly, sea ice age and sea ice movement in the Arctic summer (July-September) for analysis, including the summer seasonal average maps of 2000,2001,2003,2004,2012,2015 and 2019, as well as the monthly average maps for the July to September months of 2002, 2007 and 2013. The 10 m surface wind field map comes from the reanalysis grid data set ERA5 of the University of Maine's reanalysis plotter (https: //climatereanalyzer.org/reanalysis/monthly_maps/; accessed on 25 November 2020) [24], the time resolution is 1 month and the grid resolution is 0.5 • * 0.5 • . The time span is from January 1950 to May 2021, and the version of the dataset is Version 5. The temperature distribution of 2 m and the temperature anomaly of 2 m are from the reanalysis grid data set ERA5 (ESRL, https://psl.noaa.gov/repository/model/compare; accessed on 25 November 2020) [25] of the NOAA Earth System Research Laboratory, the time resolution is 1 month and the grid resolution is 0.25 • * 0.25 • . The time span is from 1979 to 2021, and the version of the dataset is Version 5. The temperature anomaly here is based on the average value from 2000 to 2019. The sea ice age comes from the grid data set EASE-Grid Sea Ice Age (NSIDC, https://nsidc.org/data/NSIDC-0611/versions/4; accessed on 25 November 2020) [26] of National Snow and Ice Data Center, the spatial resolution is 25 km × 25 km, and the time resolution is 7 days. The time span is 1 January 1984 to 31 December 2020, and the version of the dataset is Version 4. The sea ice motion comes from the grid data set Polar Pathfinder Daily 25 km EASE-Grid Sea Ice Motion Vectors (NSIDC, https://nsidc.org/data/NSIDC-0116/versions/4; accessed on 25 November 2020) [27] of NSIDC, with a spatial resolution of 25 km × 25 km. The time resolution is 7 days, and the time span is from 25 October 1978 to 31 December 2020. The version of the dataset is Version 4.

Sea Ice Concentration Extraction on the NEP
We use the latitude and longitude coordinates of the sea ice concentration product itself and superimpose it with the NEP in the same coordinate system. Then, we perform interpolation analysis on the original sea ice concentration data of the NEP, and generate new interpolated raster data. Then, the average sampling point is extracted on the NEP, and the concentration value of the point is extracted from the interpolation data with the coordinates of the sampling point to obtain the sea ice concentration of the NEP.

Sea Ice Age and Sea Ice Movement
We obtain the netCDF weekly data of sea ice age and sea ice movement for the required years from NSIDC. For the sea ice age, we use MATLAB to read the NetCDF data, and then superimpose the 13-week ice age data in the summer (July to September) of 2000,2001,2003,2004,2012,2015 and 2019, and superimpose the monthly ice age in July (4 weeks), August (5 weeks) and September (4 weeks) of 2002, 2007 and 2013, and calculate the seasonal average ice age value in summer and monthly average ice age value. Finally, the average ice age obtained is rounded up to the nearest integer.
For the sea ice movement, we use Matlab to read the u and v components of the ice motion data, and superimpose the values of u and v of the ice motion in the time span required in this article, to obtain the average values of u and v, respectively. When u is positive, it represents sea ice moving eastward. When v is positive, it represents sea ice moving northward. Formula (1) is used to get the speed and magnitude of the average sea ice movement.

Annual Average Variation
Based on the SSMI/SSMIS sea ice concentration data from 1 January 2000 to 31 December 2019, we calculated the annual average sea ice concentration of each location on the NEP of the Arctic and was shown in Figure 2. According to Figure 2, we can more intuitively get the sea ice concentration at the navigable nodes in each year, and find the choke points that affected the navigability of the NEP that year. positive, it represents sea ice moving eastward. When v is positive, it represents sea ice moving northward. Formula (1) is used to get the speed and magnitude of the average sea ice movement.

Annual Average Variation
Based on the SSMI/SSMIS sea ice concentration data from 1 January 2000 to 31 December 2019, we calculated the annual average sea ice concentration of each location on the NEP of the Arctic and was shown in Figure 2. According to Figure 2, we can more intuitively get the sea ice concentration at the navigable nodes in each year, and find the choke points that affected the navigability of the NEP that year. As shown in Figure 2, the areas with high sea ice concentration in the NEP from 2000 to 2019 were mainly concentrated between Section 2 and Section 4, that is, 1311.71-3410.46 nautical miles. At Section 1, the annual average sea ice concentration of the NEP increases with distance. At 1574 nautical miles, it can be clearly seen that the sea ice concentration in 2001 was anomalous, as high as 90%, followed by 2000. At Sections 2 and 3, the annual average sea ice concentration first declines and then increases, around 2885 nautical miles, the annual average sea ice concentration in 2003 was extremely high, followed by 2000, while the sea ice concentration in 2012 reached a record low, only 60%, which was the lowest value of the peak sea ice concentration in the past 20 years. At Section 4 and Section 5, the average sea ice concentration on the route decreases until it drops to 0%. Combining the results of Figure 2 with the geography, it can be seen that the middle section of the route (about 1000-3000 nautical miles) is located in high latitudes, close to the North Pole, As shown in Figure 2, the areas with high sea ice concentration in the NEP from 2000 to 2019 were mainly concentrated between Sections 2 and 4, that is, 1311.71-3410.46 nautical miles. At Section 1, the annual average sea ice concentration of the NEP increases with distance. At 1574 nautical miles, it can be clearly seen that the sea ice concentration in 2001 was anomalous, as high as 90%, followed by 2000. At Sections 2 and 3, the annual average sea ice concentration first declines and then increases, around 2885 nautical miles, the annual average sea ice concentration in 2003 was extremely high, followed by 2000, while the sea ice concentration in 2012 reached a record low, only 60%, which was the lowest value of the peak sea ice concentration in the past 20 years. At Sections 4 and 5, the average sea ice concentration on the route decreases until it drops to 0%. Combining the results of Figure 2 with the geography, it can be seen that the middle section of the route (about 1000-3000 nautical miles) is located in high latitudes, close to the North Pole, and the sea ice concentration is high, the risk of ship navigation is greater. The beginning and end of the NEP are located in the mid to high latitudes, where the sea ice concentration is low and the navigation risk is smaller.
In the recent 20 years annual average sea ice concentration in Figure 2, it can be seen that the annual average sea ice concentration peaks on the NEP in 2000, 2001, 2003 and 2004 were all higher than 85%, and the annual sea ice concentration changed greatly. In 2012, 2015 and 2019, the annual average sea ice concentration changed relatively greatly, with no considerable abrupt changes. Therefore, we select seven special years including 2000,2001,2003,2004,2012,2015 and 2019 for research (here, the year of shorter navigation periods is not considered for the time being). Except for special years, the sea ice concentration of the remaining 13 years is averaged for the following analysis.

Seasonal Average Variation
Based on the daily average sea ice concentration data of the NEP, the average sea ice concentration variations of four seasons in each year were calculated and shown in Figure 3. In order to distinguish between special years and non-special years, the monthly average sea ice concentration of each year in the 7 special years and the monthly average sea ice concentration of the remaining 13 years are shown in Figure 3. We divide the seasons: January-March is regarded as winter, April-June is regarded as spring, July-September is regarded as summer, and October-December is autumn. J. Mar. Sci. Eng. 2021, 9, x FOR PEER REVIEW 6 of 27 and the sea ice concentration is high, the risk of ship navigation is greater. The beginning and end of the NEP are located in the mid to high latitudes, where the sea ice concentration is low and the navigation risk is smaller.
In the recent 20 years annual average sea ice concentration in Figure 2, it can be seen that the annual average sea ice concentration peaks on the NEP in 2000, 2001, 2003 and 2004 were all higher than 85%, and the annual sea ice concentration changed greatly. In 2012, 2015 and 2019, the annual average sea ice concentration changed relatively greatly, with no considerable abrupt changes. Therefore, we select seven special years including 2000,2001,2003,2004,2012,2015 and 2019 for research (here, the year of shorter navigation periods is not considered for the time being). Except for special years, the sea ice concentration of the remaining 13 years is averaged for the following analysis.

Seasonal Average Variation
Based on the daily average sea ice concentration data of the NEP, the average sea ice concentration variations of four seasons in each year were calculated and shown in Figure  3. In order to distinguish between special years and non-special years, the monthly average sea ice concentration of each year in the 7 special years and the monthly average sea ice concentration of the remaining 13 years are shown in Figure 3. We divide the seasons: January-March is regarded as winter, April-June is regarded as spring, July-September is regarded as summer, and October-December is autumn.    Figure 3 that the variations of sea ice concentration in the four seasons mainly reveal four characteristics. First, the ice section of the NEP is from 787 nautical miles to 3410 nautical miles, and there are perennial ice-free areas at the beginning and end of the route. Second, the sea ice concentration of the NEP has a relatively considerable seasonal characteristic. In winter (Figure 3a), the Arctic temperature is low and the sea is frozen. The sea ice concentration of the NEP reaches its maximum, which is above 95%, and the difference between the years is small. Entering spring (Figure 3b), the temperature in the northern hemisphere begins to rise, and the sea ice concentration in the Laptev Sea (2098.74-2623.43 nautical miles) decreases. Compared with winter, the Laptev Sea (red box) has the largest amount of variation in sea ice concentration. In the spring, sea ice along the NEP absorbs solar radiation and begins to melt. During summer the sea ice continues to retreat northwards, and the sea ice concentration of the NEP drops to a minimum or even zero, and an ice-free section appears. The Bering Strait and the Barents Sea occasionally contain a small amount of floating ice of less than 20%. Except in 2000, 2001, 2003 and 2004, the sea ice concentration of the East Siberian Sea, the Laptev Sea and the Kara Sea in summer is generally less than 50%. In autumn (Figure 3d), the Arctic sea ice enters the freezing period, and the sea ice expands southward. The sea ice concentration in each sections on the NEP gradually increases. The amount of sea ice in the NEP continues to increase, reaching its maximum in winter. Third, it can be seen in Figure 3  It can be seen from the above analysis that the seasonal variation of the average sea ice concentration of the NEP is quite different. The NEP is often covered by sea ice, and the influence of sea ice should be taken into account when sailing. In summer (July-September), the NEP has the least sea ice concentration, which is the best time for navigating ships, and marine operations are not easy in winter and spring.

Monthly Average Variation
The NEP is feasible for navigation in summer. Since the sea ice cover minimum usually occurs in September each year, and it takes a while to grow the sea ice back, the sea ice concentration in the NEP is not high in October. Therefore, in this section, we put October in the summer for analysis. The spatial variability along the NEP is shown in Figure 4.
The NEP is in the freezing period from October to March of the following year, and it is in the melting process from April to September. Due to the influence of sea ice melting degrees, the inter-annual difference in the sea ice concentration of the NEP is great from July to October. It can be seen from Figure 4 that the sea ice concentration of the NEP is the smallest in September, followed by August and July, and the sea ice concentration starts to increase in October. In July, the sea ice concentration of NEP is higher in each year, especially in 2000, 2001, 2003 and 2004 (red box), the sea ice concentration is above 70%, and the navigation risk is high. By August, the sea ice concentration is considerably reduced. Among them, in the East Siberian Sea (1574 nautical miles), the sea ice concentration in 2000 and 2001 (red triangle) was higher than 60%. Near the Vilkitsky Strait (2885 nautical miles), the sea ice concentration in 2003, 2000 and 2004 (blue square) were the top three, up to 50%, 70% and 80% respectively, which had a considerable impact on the navigation. In August 2012 and 2015, the monthly average sea ice concentration of the NEP was below 20%. In August 2019, the sea ice concentration of the NEP approached 0, which had little impact on navigation. In September, the sea ice in the NEP was sparse, and the NEP was in an open sea without ice for many years. In September of 2012, 2015 and 2019, the NEP entered an ice-free state, very feasible for navigation. However, in September 2000, 2001, 2003 and 2004, there was still a considerable amount of sea ice near the East Siberian Sea (green diamond) and the Vilkitsky Strait (blue box). The risk of navigation was relatively high. In October, the sea ice concentration of the NEP years began to increase in each year. Compared with other years, the sea ice concentration in 2000, 2001, 2003 and 2004 was extremely high, with the peak reaching 80%. The monthly average sea ice concentration along the NEP in October 2012 and 2019 was below 20%, while the 2015 and multi-year average sea ice concentration was slightly higher, with the peak at 40%.

Monthly Average Variation
The NEP is feasible for navigation in summer. Since the sea ice cover minimum usually occurs in September each year, and it takes a while to grow the sea ice back, the sea ice concentration in the NEP is not high in October. Therefore, in this section, we put October in the summer for analysis. The spatial variability along the NEP is shown in  The NEP is in the freezing period from October to March of the following year, and it is in the melting process from April to September. Due to the influence of sea ice melting degrees, the inter-annual difference in the sea ice concentration of the NEP is great from July to October. It can be seen from Figure 4 that the sea ice concentration of the NEP is the smallest in September, followed by August and July, and the sea ice concentration starts to increase in October. In July, the sea ice concentration of NEP is higher in each year, especially in 2000, 2001, 2003 and 2004 (red box), the sea ice concentration is above 70%, and the navigation risk is high. By August, the sea ice concentration is considerably reduced. Among them, in the East Siberian Sea (1574 nautical miles), the sea ice concentration in 2000 and 2001 (red triangle) was higher than 60%. Near the Vilkitsky Strait (2885 nautical miles), the sea ice concentration in 2003, 2000 and 2004 (blue square) were the top three, up to 50%, 70% and 80% respectively, which had a considerable impact on the navigation. In August 2012 and 2015, the monthly average sea ice concentration of the NEP was below 20%. In August 2019, the sea ice concentration of the NEP approached 0, which had little impact on navigation. In September, the sea ice in the NEP was sparse, and the

Connectivity Analysis of the NEP
The navigation window of a route refers to the navigation period during which the sea ice concentration does not affect the safe navigation of ships on the route, and it reflects the sea ice conditions of the sea area which the route passes. According to Shibata et al.'s [28] description of sea ice concentration and ice and navigation conditions, when the sea ice concentration is 10-30%, there is only a small amount of crushed ice on the sea surface, which is very sparse. Navigation is very smooth at this time. When the sea ice concentration is 40-60%, there is a large amount of unconnected crushed ice on the sea surface, and navigation is more difficult at this time. Let us take the "Yongsheng Ship" that crossed the Arctic for the first time as an example. The icebreaking capacity of the cargo ship is Arc4. Assuming that the cargo ship sails independently, without considering the assistance of other icebreakers, the threshold of sea ice concentration through which the "Yongsheng" can pass is 40%. Therefore, we set the threshold of sea ice concentration at 40%. The algorithm of navigable window is as follows: the starting day is the first day when the sea ice concentration at all points of the NEP is less than 40% for 3 consecutive days, and the ending day is the sea ice concentration at all points of the NEP is greater than 40% for 3 consecutive days. Figure 5 shows the overall sea ice concentration in the NEP from 2000 to 2019. It can be seen that the ice segment of the NEP is from 787.03 nautical miles to 3410.46 nautical miles, and there is less than 40% of the ice in the rest of the year. Therefore, we select from 1311.71 nautical miles to 3410.46 nautical miles to study the navigation window of the NEP, and define that when the navigation time is at least 10 days, the NEP can be opened to ensure the practical feasibility of navigation.
Arctic for the first time as an example. The icebreaking capacity of the cargo ship is Arc4. Assuming that the cargo ship sails independently, without considering the assistance of other icebreakers, the threshold of sea ice concentration through which the "Yongsheng" can pass is 40%. Therefore, we set the threshold of sea ice concentration at 40%. The algorithm of navigable window is as follows: the starting day is the first day when the sea ice concentration at all points of the NEP is less than 40% for 3 consecutive days, and the ending day is the sea ice concentration at all points of the NEP is greater than 40% for 3 consecutive days. Figure 5 shows the overall sea ice concentration in the NEP from 2000 to 2019. It can be seen that the ice segment of the NEP is from 787.03 nautical miles to 3410.46 nautical miles, and there is less than 40% of the ice in the rest of the year. Therefore, we select from 1311.71 nautical miles to 3410.46 nautical miles to study the navigation window of the NEP, and define that when the navigation time is at least 10 days, the NEP can be opened to ensure the practical feasibility of navigation.          Table 2). Table 1 reflects the actual navigable time and standard deviation of the navigable period of the NEP. It can be seen from Figure 6 and Table 1 that the actual navigation period of the NEP has a wide range of fluctuations. The navigation start time ranges from late July to early September, while the navigation end time is basically mid to late October. The most feasible month for navigation is September, followed by August. The standard deviation of the navigation period can reflect the degree of dispersion of the navigation period of various locations on the NEP. According to the standard deviation of the navigation period,   For each special year, we use the seasonal average data of wind field, temperature, temperature anomalies, sea ice age and sea ice movement in the Arctic summer for analysis.

2000 and 2001
In 2000 and 2001, the areas where the NEP was not navigable were in the East Siberian Sea (1574 nautical miles) and the Vilkitsky Strait (2623 to 2886 nautical miles). The possibility of the opening of the NEP in these two years is extremely low. In 2000, there was only a three-day opening period, and the actual navigation was inconvenient. In the summer of 2001, the NEP did not open to navigation because of the high concentration of sea ice.
According to Figure 7a,d, in the summer of 2000, the East Siberian Sea, the Laptev Sea and the Kara Sea were all affected by the northeast wind, while a wind field blowing from southwest to northeast was formed in the Barents Sea, and the wind field in the Vilkitsky Strait was northerly. This was caused by the combined action of a low-pressure system in the central Arctic and high pressure over the European continent (not shown). In the summer of 2001, the Laptev Sea, the Kara Sea and the Vilkitsky Strait formed a wind field blowing from northwest to southeast, and the Barents Sea was mainly affected by the southerly wind. This was caused by the combined action of the low-pressure system in the Laptev Sea and the high pressure over the Kara Sea (not shown).
possibility of the opening of the NEP in these two years is extremely low. In 2000, there was only a three-day opening period, and the actual navigation was inconvenient. In the summer of 2001, the NEP did not open to navigation because of the high concentration of sea ice.
According to Figure 7a,d, in the summer of 2000, the East Siberian Sea, the Laptev Sea and the Kara Sea were all affected by the northeast wind, while a wind field blowing from southwest to northeast was formed in the Barents Sea, and the wind field in the Vilkitsky Strait was northerly. This was caused by the combined action of a low-pressure system in the central Arctic and high pressure over the European continent (not shown). In the summer of 2001, the Laptev Sea, the Kara Sea and the Vilkitsky Strait formed a wind field blowing from northwest to southeast, and the Barents Sea was mainly affected by the southerly wind. This was caused by the combined action of the low-pressure system in the Laptev Sea and the high pressure over the Kara Sea (not shown).  It can be seen from Figure 7b,e that the temperature in the East Siberian Sea and the Vilkitsky Strait in 2000 was mainly around 0 °C , which was not conducive to the ablation of sea ice. The temperature in the Laptev Sea was 2 °C , the temperature in the Kara Sea was around 2 °C and the temperature in the Barents Sea was 0-4 °C. Compared with the multi-year average, the temperature in the East Siberian Sea, the western side of the Vilkitsky Strait, the Laptev Sea and the Kara Sea was abnormally low by about 2 °C, while the Barents Sea had not changed much. According to Figure 7c,f, the temperature of the East Siberian Sea, the Laptev Sea and the Vilkitsky Strait in 2001 was around −5 °C, and the temperature of the three sea areas was abnormally low compared with the average for many years, which had no effect on the ablation of sea ice. Among them, the temperature in the East Siberian Sea was about 1.2 °C lower, the temperature in the Laptev Sea was 2 °C lower, and the temperature in the eastern side of the Vilkitsky Strait was 0.8-1.6 °C lower. The temperature in the Kara Sea was slightly warmer, between 0-5 °C, and the It can be seen from Figure 7b,e that the temperature in the East Siberian Sea and the Vilkitsky Strait in 2000 was mainly around 0 • C, which was not conducive to the ablation of sea ice. The temperature in the Laptev Sea was 2 • C, the temperature in the Kara Sea was around 2 • C and the temperature in the Barents Sea was 0-4 • C. Compared with the multi-year average, the temperature in the East Siberian Sea, the western side of the Vilkitsky Strait, the Laptev Sea and the Kara Sea was abnormally low by about 2 • C, while the Barents Sea had not changed much. According to Figure 7c,f, the temperature of the East Siberian Sea, the Laptev Sea and the Vilkitsky Strait in 2001 was around −5 • C, and the temperature of the three sea areas was abnormally low compared with the average for many years, which had no effect on the ablation of sea ice. Among them, the temperature in the East Siberian Sea was about 1.2 • C lower, the temperature in the Laptev Sea was 2 • C lower, and the temperature in the eastern side of the Vilkitsky Strait was 0.8-1.6 • C lower. The temperature in the Kara Sea was slightly warmer, between 0-5 • C, and the temperature in the Barents Sea was around 5 • C. There was not much abnormal change in temperature in these two sea areas.
It can be seen from Figure 8a,b that in the NEP in the summer of 2000 and 2001, the Bering Strait, the Laptev Sea, the Kara Sea and the Barents Sea were all dominated by one-year ice. However, in these two years, there was sea ice of more than 2 years in the central waters of the East Siberian Sea. Especially in 2000, there was a small amount of sea ice that was more than 5 years old. In the summer of 2000, in the western part of the Vilkitsky Strait, the sea ice was dominated by 2 to 3 years. In 2001, there was a large area of two-year ice in the eastern part of the Vilkitsky Strait. The multi-year ice layer is thick and the whole is firmer, and it is not easy to melt in summer, which easily causes the sea ice concentration here to increase. According to Figure 8c

2003 and 2004
In the summer of 2003 and 2004, the NEP was closed. The key area for navigation is the Vilkitsky Strait. The difference is that the western area of the Vilkitsky Strait had a higher sea ice concentration in 2003, while it was the eastern area in 2004.
According to Figure 9a

2003 and 2004
In the summer of 2003 and 2004, the NEP was closed. The key area for navigation is the Vilkitsky Strait. The difference is that the western area of the Vilkitsky Strait had a higher sea ice concentration in 2003, while it was the eastern area in 2004.
According to Figure 9a,d, in the summer of 2003, the East Siberian Sea, the Laptev Sea, the Kara Sea and Vilkitsky Strait were completely controlled by the westerly wind, while the Barents Sea was dominated by northwest winds. This was caused by the strong low-pressure field only in the central region of the North Pole in the summer of 2003 (not shown). In the summer of 2004, there was a high-pressure center in the Kara Sea, and the pressure on the Eurasian continent was relatively low (not shown). Under this sea level pressure field, the southerly wind prevailed in the East Siberian Sea and the Barents Sea in the summer of 2004, while the northerly wind prevailed in the Laptev Sea and Kara Sea, and the cold air brought by the northerly wind slowed the ablation of sea ice.
Sea, the Kara Sea and Vilkitsky Strait were completely controlled by the westerly wind, while the Barents Sea was dominated by northwest winds. This was caused by the strong low-pressure field only in the central region of the North Pole in the summer of 2003 (not shown). In the summer of 2004, there was a high-pressure center in the Kara Sea, and the pressure on the Eurasian continent was relatively low (not shown). Under this sea level pressure field, the southerly wind prevailed in the East Siberian Sea and the Barents Sea in the summer of 2004, while the northerly wind prevailed in the Laptev Sea and Kara Sea, and the cold air brought by the northerly wind slowed the ablation of sea ice. It can also be seen from Figure 9b,e that the temperature in the East Siberian Sea and the Laptev Sea was basically between 0 °C and 5 °C in the summer of 2003, and there was no abnormal change in the annual average temperature of the two sea areas. The temperature in Kara Sea is between −5 °C and 0 °C in summer, and that in Barents Sea is between 0 °C and 5 °C . The temperature anomaly of the two sea areas is obviously negative. In the summer of 2003, the temperature in the Vilkitsky Strait was relatively low, around −5 °C , which also showed negative anomaly compared with the annual average level, which was not conducive to the ablation of sea ice. In the summer of 2004 (Figure 9c,f), the temperature in the East Siberian Sea, the Laptev Sea and the Vilkitsky Strait was relatively lower than the annual average temperature. The temperature in the East Siberian Sea was about 0 °C , while the temperature in the Laptev Sea was relatively low, between −5 and 0 °C , and the temperature in the Vilkitsky Strait was between −5 and 0 °C . The temperature in the Kara Sea had not changed significantly, ranging from 0 °C to 5 °C , while the temperature in the Barents Sea was abnormally higher than the annual average ranging from 5 °C to 10 °C .
It can be seen from Figure 10a  It can also be seen from Figure 9b,e that the temperature in the East Siberian Sea and the Laptev Sea was basically between 0 • C and 5 • C in the summer of 2003, and there was no abnormal change in the annual average temperature of the two sea areas. The temperature in Kara Sea is between −5 • C and 0 • C in summer, and that in Barents Sea is between 0 • C and 5 • C. The temperature anomaly of the two sea areas is obviously negative. In the summer of 2003, the temperature in the Vilkitsky Strait was relatively low, around −5 • C, which also showed negative anomaly compared with the annual average level, which was not conducive to the ablation of sea ice. In the summer of 2004 (Figure 9c,f), the temperature in the East Siberian Sea, the Laptev Sea and the Vilkitsky Strait was relatively lower than the annual average temperature. The temperature in the East Siberian Sea was about 0 • C, while the temperature in the Laptev Sea was relatively low, between −5 and 0 • C, and the temperature in the Vilkitsky Strait was between −5 and 0 • C. The temperature in the Kara Sea had not changed significantly, ranging from 0 • C to 5 • C, while the temperature in the Barents Sea was abnormally higher than the annual average ranging from 5 • C to 10 • C.
It can be seen from Figure 10a

2002
The navigation period of the NEP of the Arctic was relatively short in 2002, only 33 days. The main reason is that the navigation ended earlier that year, which ended in mid-September. The decisive area affecting the navigation was the western part of the Vilkitsky Strait. From Figures 11-13, it can be seen that the northwest wind prevailed in the Vilkitsky Strait from July to September 2002, the sea ice age in the western part of the Vilkitsky Strait was basically 4 years in July, and mainly 2-4 years in August to September. The ice was firm and hard to melt in summer. In September 2002, the sea ice in the western part of the Vilkitsky Strait moved eastward from the Arctic Ocean into the northeastern part of the Kara Sea (Figure 13c), blocking the western entrance of the Vilkitsky Strait.

2002
The navigation period of the NEP of the Arctic was relatively short in 2002, only 33 days. The main reason is that the navigation ended earlier that year, which ended in mid-September. The decisive area affecting the navigation was the western part of the Vilkitsky Strait. From Figures 11-13, it can be seen that the northwest wind prevailed in the Vilkitsky Strait from July to September 2002, the sea ice age in the western part of the Vilkitsky Strait was basically 4 years in July, and mainly 2-4 years in August to September. The ice was firm and hard to melt in summer. In September 2002, the sea ice in the western part of the Vilkitsky Strait moved eastward from the Arctic Ocean into the northeastern part of the Kara Sea (Figure 13c), blocking the western entrance of the Vilkitsky Strait.
days. The main reason is that the navigation ended earlier that year, which ended in mid-September. The decisive area affecting the navigation was the western part of the Vilkitsky Strait. From Figures 11-13, it can be seen that the northwest wind prevailed in the Vilkitsky Strait from July to September 2002, the sea ice age in the western part of the Vilkitsky Strait was basically 4 years in July, and mainly 2-4 years in August to September. The ice was firm and hard to melt in summer. In September 2002, the sea ice in the western part of the Vilkitsky Strait moved eastward from the Arctic Ocean into the northeastern part of the Kara Sea (Figure 13c), blocking the western entrance of the Vilkitsky Strait.

2007
The year 2007 was the second lowest September sea ice area within the satellite observation era. However, the navigation time of the NEP in 2007 was relatively short, only 38 days. The reason was that the NEP was opened in September 2007. As can be seen from Figures 14-16, the NEP was continuously affected by northeast winds in July and August 2007. The sea ice moved west/northward under the influence of the wind field. As the sea ice was blocked by the Severnaya Zemlya, it accumulated on its east side, resulting in a high sea ice concentration in this area. According to Figures 14b, 15b and 16b, there was a large area of three-year ice in the west of the Vilkitsky Strait from July to September 2007, which would delay the opening of the NEP. In September, although the NEP was still affected by the northwest wind, the wind decreased. Only the western part of the Vilkitsky Strait had a small amount of sea ice movement in the NEP.

2007
The year 2007 was the second lowest September sea ice area within the satellite observation era. However, the navigation time of the NEP in 2007 was relatively short, only 38 days. The reason was that the NEP was opened in September 2007. As can be seen from Figures 14-16, the NEP was continuously affected by northeast winds in July and August 2007. The sea ice moved west/northward under the influence of the wind field. As the sea ice was blocked by the Severnaya Zemlya, it accumulated on its east side, resulting in a high sea ice concentration in this area. According to Figures 14b, 15b and 16b, there was a large area of three-year ice in the west of the Vilkitsky Strait from July to September 2007, which would delay the opening of the NEP. In September, although the NEP was still affected by the northwest wind, the wind decreased. Only the western part of the Vilkitsky Strait had a small amount of sea ice movement in the NEP.

2013
The opening of the NEP in 2013 was relatively late, and it was navigable at the end of August. The key area for navigation was the western part of the Vilkitsky Strait. From Figures 17-19, it can be seen that in July and August 2013, the Vilkitsky Strait was affected by a strong westerly wind. Driven by the westerly wind, sea ice moved along the Arctic Ocean to the west of the Severnaya Zemlya, which easily caused the accumulation of sea ice here. In addition, there was a certain amount of three-year ice in the western part of the Vilkitsky Strait in July and August, which would also affect the opening of the NEP. In September, there was little sea ice movement in the Vilkitsky Strait, and the amount of multi-year ice in the Vilkitsky Strait was greatly reduced, which helped the opening of the NEP.

2013
The opening of the NEP in 2013 was relatively late, and it was navigable at the end of August. The key area for navigation was the western part of the Vilkitsky Strait. From Figures 17-19, it can be seen that in July and August 2013, the Vilkitsky Strait was affected by a strong westerly wind. Driven by the westerly wind, sea ice moved along the Arctic Ocean to the west of the Severnaya Zemlya, which easily caused the accumulation of sea ice here. In addition, there was a certain amount of three-year ice in the western part of the Vilkitsky Strait in July and August, which would also affect the opening of the NEP. In September, there was little sea ice movement in the Vilkitsky Strait, and the amount of multi-year ice in the Vilkitsky Strait was greatly reduced, which helped the opening of the NEP. The area covered by sea ice in 2012 was 45% less than the average over the past 30 years [31]. The minimum extent of Arctic sea ice in 2012 was 3.41 million km 2 , and the NEP was open to navigation for 82 days during the year, which is the third longest time since the opening of the NEP in the study of this article.
It can be seen from Figure 20a that, due to the low-pressure system (not shown) across the NEP in the summer of 2012, northerly wind prevailed in the East Siberian Sea and the Kara Sea, while the southwest wind prevailed in the Laptev Sea and the Barents Sea. According to Figure 20b,c, compared with the annual average, the temperature in the East Siberian Sea, the Laptev Sea and the Barents Sea was not significantly abnormal. The temperature in the East Siberian Sea and the Laptev Sea in summer was between 0 and 5 • C, and the Barents Sea reached 5-10 • C. The temperature on the east side of the Kara Sea and the Vilkitsky Strait was between 0 and 5 • C, which was abnormally high compared to the multi-year average, promoting the ablation of sea ice in the two sea areas. However, the temperature in the NEP was generally warm and the wind was light in the summer of 2012, and the temperature in the NEP was about 0-5 • C. The opening of the NEP in 2013 was relatively late, and it was navigable at the end of August. The key area for navigation was the western part of the Vilkitsky Strait. From Figures 17-19, it can be seen that in July and August 2013, the Vilkitsky Strait was affected by a strong westerly wind. Driven by the westerly wind, sea ice moved along the Arctic Ocean to the west of the Severnaya Zemlya, which easily caused the accumulation of sea ice here. In addition, there was a certain amount of three-year ice in the western part of the Vilkitsky Strait in July and August, which would also affect the opening of the NEP. In September, there was little sea ice movement in the Vilkitsky Strait, and the amount of multi-year ice in the Vilkitsky Strait was greatly reduced, which helped the opening of the NEP.   Figure 21a reveals that compared to 2000, the amount of multi-year ice in the NEP was substantially lower in 2012, and the first-year ice accounted for a larger proportion [32]. In addition, the sea ice in the NEP in summer of 2012 was mostly first-year ice, which usually melts completely earlier than thicker multi-year ice. It can be seen from Figure 21b that in the summer of 2012, the sea ice movement along the NEP was relatively slight, and the accumulation was naturally small, which indirectly promoted the navigation of NEP.

2012
The area covered by sea ice in 2012 was 45% less than the average over the past 30 years [31]. The minimum extent of Arctic sea ice in 2012 was 3.41 million km 2 , and the NEP was open to navigation for 82 days during the year, which is the third longest time since the opening of the NEP in the study of this article.
It can be seen from Figure 20a that, due to the low-pressure system (not shown) across the NEP in the summer of 2012, northerly wind prevailed in the East Siberian Sea and the Kara Sea, while the southwest wind prevailed in the Laptev Sea and the Barents Sea. According to Figure 20b,c, compared with the annual average, the temperature in the East Siberian Sea, the Laptev Sea and the Barents Sea was not significantly abnormal. The temperature in the East Siberian Sea and the Laptev Sea in summer was between 0 and 5  Figure 21a reveals that compared to 2000, the amount of multi-year ice in the NEP was substantially lower in 2012, and the first-year ice accounted for a larger proportion [32]. In addition, the sea ice in the NEP in summer of 2012 was mostly first-year ice, which usually melts completely earlier than thicker multi-year ice. It can be seen from Figure 21b that in the summer of 2012, the sea ice movement along the NEP was relatively slight, and the accumulation was naturally small, which indirectly promoted the navigation of NEP.

2015
The opening time of the NEP in 2015 was 86 days, the second longest time since the opening of the NEP from 2000 to 2019.
As shown in Figure 22a, since the Arctic had only one high-pressure center (not shown) in Greenland in 2015, the East Siberian Sea, the Kara Sea and the Barents Sea were prevailing northeasterly winds, while the Laptev Sea was completely easterly winds. According to Figure 22b,c, the temperature of the NEP in 2015 was basically between 0 and 5 • C. Compared with the multi-year average, the temperature in the East Siberian Sea and the Kara Sea was abnormally higher by about 1.

2015
The opening time of the NEP in 2015 was 86 days, the second longest time since the opening of the NEP from 2000 to 2019.
As shown in Figure 22a, since the Arctic had only one high-pressure center (not shown) in Greenland in 2015, the East Siberian Sea, the Kara Sea and the Barents Sea were prevailing northeasterly winds, while the Laptev Sea was completely easterly winds. According to Figure 22b,c, the temperature of the NEP in 2015 was basically between 0 and 5 °C . Compared with the multi-year average, the temperature in the East Siberian Sea and the Kara Sea was abnormally higher by about 1.2 °C, while the temperature in the Novosibirskiye Islands was about 0.8°C lower, and the temperature in the other sea areas had little change.

2015
The opening time of the NEP in 2015 was 86 days, the second longest time since the opening of the NEP from 2000 to 2019.
As shown in Figure 22a, since the Arctic had only one high-pressure center (not shown) in Greenland in 2015, the East Siberian Sea, the Kara Sea and the Barents Sea were prevailing northeasterly winds, while the Laptev Sea was completely easterly winds. According to Figure 22b,c, the temperature of the NEP in 2015 was basically between 0 and 5 °C . Compared with the multi-year average, the temperature in the East Siberian Sea and the Kara Sea was abnormally higher by about 1.2 °C, while the temperature in the Novosibirskiye Islands was about 0.8°C lower, and the temperature in the other sea areas had little change. It can be seen from Figure 23a that the sea ice distributed in the NEP was mostly one-year ice in summer of 2015. Although sea ice movement had occurred along the NEP, it can be seen from Figure 23b that the sea ice movement had a relatively small effect, in particular, in the two key areas of the NEP-the central part of the East Siberian Sea and the Vilkitsky Strait-where sea ice movement was very small, and the possibility of sea ice accumulation was also low. It can be seen from Figure 23a that the sea ice distributed in the NEP was mostly oneyear ice in summer of 2015. Although sea ice movement had occurred along the NEP, it can be seen from Figure 23b that the sea ice movement had a relatively small effect, in particular, in the two key areas of the NEP-the central part of the East Siberian Sea and the Vilkitsky Strait-where sea ice movement was very small, and the possibility of sea ice accumulation was also low.

2019
The global ocean heat capacity and sea level had reached new highs in 2019, the sea ice area was relatively small, and the opening time of the NEP had reached the longest opening period in history (87 days).
It can be seen from Figure 24a that the northeast wind prevailed in the East Siberian Sea, the Laptev Sea was dominated by the westerly wind, and the Kara Sea and the Barents Sea were dominated by the northwest wind in 2019. Due to the average sea level pressure over the Arctic Ocean was muted-there was no strong center of action (not shown), the wind in the NEP was generally weak in 2019, which had little effect on the accumulation of sea ice. It can be seen from Figure 24b,c that the temperature in the NEP in 2019 was warmer, especially in the Laptev Sea, the Vilkitsky Strait and the Kara Sea, which were abnormally 2 °C higher than the annual average. Among them, the temperature in the East Siberian Sea was between 0-5 °C , the temperature in the Laptev Sea was even up to 5 °C , and the temperature in the Vilkitsky Strait, the Kara Sea and the Barents Sea was also between 0 and 5 °C , which played a role in improving navigation.

2019
The global ocean heat capacity and sea level had reached new highs in 2019, the sea ice area was relatively small, and the opening time of the NEP had reached the longest opening period in history (87 days).
It can be seen from Figure 24a that the northeast wind prevailed in the East Siberian Sea, the Laptev Sea was dominated by the westerly wind, and the Kara Sea and the Barents Sea were dominated by the northwest wind in 2019. Due to the average sea level pressure over the Arctic Ocean was muted-there was no strong center of action (not shown), the wind in the NEP was generally weak in 2019, which had little effect on the accumulation of sea ice. It can be seen from Figure 24b,c that the temperature in the NEP in 2019 was warmer, especially in the Laptev Sea, the Vilkitsky Strait and the Kara Sea, which were abnormally 2 • C higher than the annual average. Among them, the temperature in the East Siberian Sea was between 0-5 • C, the temperature in the Laptev Sea was even up to 5 • C, and the temperature in the Vilkitsky Strait, the Kara Sea and the Barents Sea was also between 0 and 5 • C, which played a role in improving navigation.
From the sea ice age map ( Figure 25a) and sea ice movement map (Figure 25b) of the NEP in the summer of 2019, it can be seen that the extent of multi-year ice in the Arctic is greatly reduced. The sea ice in the NEP was mostly one-year ice, which is basically seasonal, with thin ice thickness and easy melting in summer. In the summer of 2019, the sea ice movement on the NEP had little effect, which further promoted the opening of the NEP. From the sea ice age map ( Figure 25a) and sea ice movement map (Figure 25b) of the NEP in the summer of 2019, it can be seen that the extent of multi-year ice in the Arctic is greatly reduced. The sea ice in the NEP was mostly one-year ice, which is basically seasonal, with thin ice thickness and easy melting in summer. In the summer of 2019, the sea ice movement on the NEP had little effect, which further promoted the opening of the NEP.  From the sea ice age map ( Figure 25a) and sea ice movement map (Figure 25b) of the NEP in the summer of 2019, it can be seen that the extent of multi-year ice in the Arctic is greatly reduced. The sea ice in the NEP was mostly one-year ice, which is basically seasonal, with thin ice thickness and easy melting in summer. In the summer of 2019, the sea ice movement on the NEP had little effect, which further promoted the opening of the NEP.

Discussion
The sea ice movement of the NEP is due to the action of the wind field, and the wind field is caused by the pressure gradient force. The cloud cover variability can also have an influence on wind, but cloud cover has a greater thermodynamic impact on sea ice. In this article, neither cloud cover nor the effect of cloud cover on sea ice ablation has been considered.

Conclusions
Sea ice concentration is a crucial factor that affects the variations in sea ice conditions and navigation conditions. We use the Arctic sea ice concentration data from the summer of 2000-2019, sea ice movement and sea age and for years after 2010, as well as thickness and atmospheric information such as near-surface wind vector and near-surface air temperatures, to analyze the sea ice variations and navigation conditions of the NEP and draw the following conclusions: (1) On the whole, the ice segment in the NEP is from 787 nautical miles to 3410 nautical miles. There are perennial ice-free areas at the beginning and end of the NEP.
(2) The seasonal characteristics of sea ice concentration along the NEP are very obvious. In spring and summer, the sea ice along the NEP gradually melts. At the end of summer, the sea ice concentration on the NEP reaches a minimum, or even 0. The sea ice concentration on the NEP begins to increase in autumn and reaches its maximum in winter. The NEP has the smallest sea ice concentration in September, followed by August and July. In July, the sea ice concentration is high in each year on the NEP, and by August, the sea ice concentration is greatly reduced. In September, the sea ice in the NEP is sparse, and it is basically in the open sea without ice. In September of 2012, 2015 and 2019, the sea ice concentration of the NEP had approached 0, making it very suitable for navigation. However, in September of 2000, 2001, 2003 and 2004, there was still more sea ice near the East Siberian Sea and the Vilkitsky Strait, and the risk of navigation was high. In October, the sea ice concentration along the NEP began to increase. The opening time of the NEP varies from late July to early September, and the end time of navigation is concentrated in mid-to-late October. The most suitable month for navigation is September. Except for the years when navigation is not available, the navigable duration in summer is basically maintained at more than 30 days, and the navigation duration in the past ten years has reached 60 days. (4) The main reason for the high sea ice concentration in the central part of East Siberian Sea (2000 and 2001) is that the area is the only area distributed with multi-year ice in the NEP in spring and summer, and the wind here is small in summer and the sea ice is not easy to move. Besides this, the temperature at the place is abnormally low in the summer of these two years, which is not conducive to the ablation of sea ice, leading to the high sea ice concentration in this area.
(5) The main reason for the high sea ice concentration in the Vilkitsky Strait (2000, 2001, 2003, 2004 and 2002, 2007 and 2013) is the wind field and sea ice movement. Here, sea ice is prone to movement under the strong wind in summer. In the Vilkitsky Strait region, this is the persistence of sea ice drift directions favoring blocking either the western or the eastern entries. In addition, there is multi-year ice near the Vilkitsky Strait, which also blocks navigation.
(6) The sea ice concentration was low in 2012, 2015 and 2019, and the navigation time of the NEP was long. In these three years, the temperature of the NEP was relatively high. The average temperature in summer was between 0-5 • C. The wind was light, which would not promote the movement and accumulation of sea ice, nor cause the choke point of the NEP to be blocked. In addition, the NEP in the summer of these three years was dominated by one-year ice, which was easy to melt in summer, greatly extending the navigation period.