Spatial Differentiation Analysis of Water Quality in Dianchi Lake Based on GF-5 NDVI Characteristic Optimization

Lin, Hu; Shu, Gan; Xiping, Yuan; Yan, Li; Guokun, Chen; Sha, Gao

doi:https://doi.org/10.1155/2021/5542126

Journal of Spectroscopy

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Abstract Introduction Materials and Methods Results Conclusions Data Availability Conflicts of Interest Authors’ Contributions Acknowledgments References Copyright Related Articles

Research Article | Open Access

Volume 2021 | Article ID 5542126 | https://doi.org/10.1155/2021/5542126

Spatial Differentiation Analysis of Water Quality in Dianchi Lake Based on GF-5 NDVI Characteristic Optimization

Hu Lin,¹Gan Shu,^1,2Yuan Xiping,^2,3Li Yan,¹Chen Guokun,¹and Gao Sha¹

Academic Editor: Khalique Ahmed

Received20 Jan 2021

Revised18 Jul 2021

Accepted17 Aug 2021

Published26 Aug 2021

Abstract

Remote sensing monitoring of aquatic vegetation is critical to the water quality evaluation of plateau lakes. To obtain a clear understanding of the water environment status of Dianchi Lake, a GF-5 hyperspectral characteristics-based optimal NDVI approach was employed to quantify the aquatic vegetation cover and analyze water quality. By characteristic bands recognition, the optimal NDVI was obtained; the spatial distribution of aquatic plants and water quality in Dianchi Lake were then analyzed. Results showed the following: (1) For Caohai, the optimal NDVI value was calculated by B86 in the red band range and B151 in the near-infrared band range, which achieve the best spectral response. For Waihai, the respective bands were B86 in the red band range and B99 in the near-infrared band range. (2) We also found significant regional differences in aquatic plants distribution for the study area. Caohai was dominated by aquatic plants and high-quality water areas only occurred in the northern tip. While the situation for Waihai was much optimistic, areas with poor water quality were mainly found in the north and south parts. Water quality also showed a descending trend from the lakeside zone to the lake center. (3) By comparing to previous studies, we concluded that policy interventions and water protection measures carried out by the government during the past years are extremely effective. The optimal NDVI method provides a reliable evaluation and is potentially transferable to other plateau lake areas as a robust approach for the rapid assessment of water quality.

1. Introduction

Eutrophication causes abnormal proliferation of cyanobacteria, which leads to water blooms and further destroys the ecosystem of lake water and seriously affects human health and socioeconomic development [1]. As primary producers in aquatic ecosystems and the main contributors to photosynthesis, aquatic plants maintain the energy input of ecosystems and play a significant role in ecosystems. Environmental changes produce pressure on aquatic plants, leading to changes in aquatic plants and ecosystem service functions [2]. In recent years, remote sensing monitoring approaches incorporating the growth of aquatic plants into decision making associated with water quality evaluation, water ecological environment and environmental effects of aquatic plants have been increasingly recognized by scientists and policymakers worldwide [3].

Dianchi Lake is one of the 9 lakes in Yunnan-Guizhou Plateau where aquatic plants (e.g., cyanobacteria bloom, etc.) are most likely to occur leading to poor water quality [4]. According to the data query, the water environment condition of Dianchi Lake has deteriorated sharply in the past 30 years, decreasing by 3 grades. The water quality of Dianchi Lake was classified as class II in the 1960s and class III in the 1970s. In the 1980s, the water quality of Caohai was classified as class V and that of Waihai was classified as class IV. And in the 1990s, it was considered inferior to that of the past; the water environment situation of Caohai was classified as superclass V and that of Waihai was class V [5]. Therefore, the water environment situation control of Dianchi Lake has been widely concerned by many scholars and government agencies. In recent years, through the implementation of a series of governance works in Dianchi Lake, the water environment of Caohai and Waihai has been improved. In 2019, Caohai accords with the class IV standard and Waihai accords with the class V standard, but there still exists serious contamination. Therefore, it is particularly important to strengthen the research on the water quality in Dianchi Lake based on the characteristics of ecological environmental heteroplasmy.

Compared with the traditional field water environment situation survey method, remote sensing, as a regional monitoring method, can quickly obtain the temporal and spatial distribution of aquatic plants [6], so it is more and more applied on the monitoring and management of water quality. However, due to the relatively complicated optical properties of inland lakes, small spatial scale, changeable water environment, and large spatial difference [7], multispectral remote sensing data have insufficient information and cannot meet the accuracy requirements of water quality monitoring. By contrast, hyperspectral data can better obtain the spectral characteristics of the water body and the spatial distribution difference of water quality [8], thus providing an important scientific theoretical basis and support for water quality monitoring at the regional scale.

The monitoring of aquatic plants by remote sensing technology has received widespread attention. At present, there are many satellite data available for aquatic plant research. For example, the most commonly known and easily accessible one is the Landsat satellite data of the United States. However, its disadvantages are its long revisit period and low spectral resolution [9]. Another data is MODIS satellite data with a low spatial resolution [10]. The other data is the data of China’s Zhuhai-1 satellite, which has the advantage of high spatial and temporal resolution, but the disadvantage is that the acquired images only have 32 bands and spectral resolution is relatively low [5]. Compared with these data sources, China’s GaoFen-5 (GF-5) satellite is known for hyperspectral imaging, short revisit period, and high spatial resolution, which provides a new remote sensing data source for the monitoring of lake water ecological environment in a large area.

Based on spectral characteristics, it can be found that the most obvious characteristic of aquatic plants is the steep slope effect in the near-infrared band, and the steep slope effect of aquatic plants with higher enrichment is more obvious [11]. Many remote sensing index methods have been proposed by scholars around the world, including Normalized Difference Vegetation Index (NDVI) [12–14], Floating Algae Index (FAI) [15, 16], Normalized Difference Water Index (NDWI) [17, 18], Enhanced Vegetation Index (EVI) [19], and Normalized Difference Index of Cyanobacteria Bloom (NDICB) [20]. Among them, NDVI is the most widely used remote sensing index method. It is defined as the normalized ratio of red and near-infrared bands, which can better reflect the steep slope effect and improve the monitoring efficiency. Therefore, NDVI is selected as the basic index for aquatic plant monitoring in this study. However, when calculating NDVI with hyperspectral data, how to filter bands to achieve the effective construction of NDVI has become our challenge. Hence, this study aims to acquire the hyperspectral characteristics of Dianchi Lake water based on GF-5 hyperspectral remote sensing images and provide a theoretical basis for the optimization of NDVI construction. Then, the spatial distribution of aquatic plants in Dianchi Lake was obtained according to the optimized NDVI, as well as spatial differentiation of the water quality in Dianchi Lake. Comparing to NDVI calculated by the conventional methods, NDVI based on the optimized construction can better reflect the growth and distribution of aquatic plants. And this method can be effectively applied to the monitoring of lake water quality, providing a reference for the scientific management of water resources in the plateau region.

2. Materials and Methods

2.1. Study Area

Dianchi Lake (24°40′–25°02′N, 102°36′–102°47′E) is located in southwestern Kunming, Yunnan Province of China (Figure 1). Due to the extreme eutrophication of the water body [12], it has received widespread attention in recent years. As the largest plateau lake in Yunnan Province and the sixth-largest freshwater lake in China, Dianchi covers a total area of 2920 km² [21], with a north-to-south length of 40.4 km and a west-to-east width of 7 km, the coastline is 163.2 km, and the average water volume is 1.56 × 10⁹ m³ [22]. The lake elevation is 1887.4 m and the lake shoreline is about 150 km. The average water depth is 5 m; the deepest is 8 m. The dam located in the northern part of the lake divides the Dianchi Lake into Caohai and Waihai artificially. The north part is called Caohai, with a lake area of 10.8 km² (at 1887.4 m elevation), accounting for only 3.4% of the Dianchi Lake area. The average water depth of Caohai is 2.5 m, lush grass, natural pond [23]. The south part is known as Waihai, with an area of 298.2 km² (at 1887.4 m elevation), which is the main component of Dianchi Lake, and the average depth is about 5 m [4].

2.2. Data

GF-5 AHSI hyperspectral remote sensing satellite was successfully launched on May 9, 2018, with a spatial resolution of 30 m. The hyperspectral datasets are divided into visible light near-infrared (VNIR) subset and short-wave infrared (SWIR) subset, according to different spectral resolutions. Among them, VNIR has 150 bands and SWIR has 180 bands, with a total of 330 bands. The band range of VNIR is about 0.39–1.03 μm with a resolution interval of 5 nm, and the band range of SWIR is about 1.0–2.5 μm with a resolution interval of 10 nm [24]. GF-5 is characterized by high spatial resolution, high temporal resolution, and high spectral resolution [25], which can better meet the experimental needs of this study. In this study, the GF-5 hyperspectral data used was obtained on December 16, 2019. The basic parameters of the GF-5 hyperspectral payload are shown in Table 1 [26]. The wavelength of the red band is 620–760 nm, and that of the near-infrared band is 760–3000 nm [27], corresponding to GF-5 B55-87 and B88-330, respectively. To utilize the images for the subsequent experimental analysis, the GF-5 data was preprocessed first using ENVI software. The preprocessing procedure includes radiation calibration, FLAASH atmospheric correction, orthographic correction, image clipping, bad band and noise band removal. The specific preprocessing flowchart is shown in Figure 2.

2.3. Methods

To use hyperspectral technology and scientifically analyze the spatial differentiation of water quality in Dianchi Lake based on remote sensing index NDVI, the experimental scheme of this study is as follows. Firstly, we calculated the average spectral reflectance of Caohai and Waihai and the reflectance spectral curves were drawn, respectively. Since NDVI is defined as the ratio of the difference to a sum between the reflection value of the near-infrared band and that of the red band for remote sensing images [28], namely, NDVI = (NIR-R)/(NIR + R). The optimal construction scheme of NDVI was then studied based on the characteristic bands of red and near-infrared bands. Finally, according to the optimized NDVI, the growth status of aquatic plants in Dianchi Lake was presented; the spatial distribution differentiation of water environment situation in Dianchi Lake was analyzed. The specific flowchart is shown in Figure 3.

3. Results

3.1. Characteristic Analysis of the Red Band

Spectral reflection curves of the red band for Caohai and Waihai are shown in Figure 4. As can be seen, both curves fluctuate up and down with the increase of band number. In the red band range, spectral curves show that variation trends for the two water bodies are similar, but the reflectance of Waihai is greater than that of Caohai. The maximum (max) reflectance difference is 1.42% in B74, and the minimum (min) is 0.27% in B87. Furthermore, Waihai shows a more obvious absorption peak in B61, while the curve of Caohai is relatively stable. The detailed information is shown in Table 2.

For the red band range, we found that the max reflectance of Caohai lies in B74 (value of 1.34%), and the min reflectance lies in B86 (value of 0.63%). The max reflectance of Waihai is in B74 (value of 2.76%), and the min reflectance is in B86 (value of 0.92%).

3.2. Characteristic Analysis of the Near-Infrared Band

Spectral reflection curves of the near-infrared band for Caohai and Waihai are shown in Figure 5. As we can see, both curves fluctuate sharply with the increase of band number. In the near-infrared band range, the curves’ variation trends for the two water bodies are similar in general but with a significant difference in several bands. At the beginning and end of the curves, Waihai shows greater spectral reflectance than that of Caohai in B89-B119 and B263-B326, while in the middle range the situation is opposite, the reflectance of Caohai is greater than that of the Waihai in B120-B191 and B201-B241. The max reflectance difference is 1.04% in B151 and the min is in B117. The detailed information is shown in Table 3.

For the near-infrared band range, we found (Figure 5) that the max reflectance of Caohai is 1.84% in B151 and the min reflectance is 0.11% in B285. The max and min reflectance of Waihai lies in B99 (value of 1.24%) and B166 (value of 0.08%), respectively.

3.3. Optimal NDVI Based on Hyperspectral Characteristic Bands Recognition

In this section, the NDVI value is determined by combining the hyperspectral characteristic bands of the red and near-infrared bands. Tables 4 and 5 show the NDVI values of Caohai and Waihai, respectively, which were calculated by obtaining the corresponding reflectance values of the characteristic band in the red and near-infrared bands.

From Table 4, we found that the minimum value of NDVI (NDVI_min) of Caohai is −0.84 when the reflectance of the red band is max and that of the near-infrared band is min. On the contrary, the maximum value of NDVI (NDVI_max) is 0.49 when the reflectance of the red band is min and that of the near-infrared band is max. According to the conventional NDVI construction method, if the mean reflectance of red and near-infrared bands was selected, the NDVI value was −0.35, which is close to the median of NDVI and not suitable for identifying aquatic plants.

From Table 5, we found that the NDVI_min of Waihai is −0.95 when the reflectance of the red band is max and that of the near-infrared band is min. On the contrary, the NDVI_max is 0.15 when the reflectance of the red band is min and that of the near-infrared band is max. Based on the conventional NDVI construction method, if the mean reflectance of red and near-infrared bands were selected, the NDVI value was −0.63, which is also close to the median of NDVI.

Compared with the average reflectance based on red and near-infrared bands, the NDVI value calculated by the reflectance of characteristic bands is sharper and larger. After processing NDVI by maximum value composite, the influence of the atmosphere and solar altitude angle can be effectively reduced; the temporal and spatial variation of NDVI were analyzed [29, 30]. Generally, when the NDVI value reaches the max, the spectral response effect is the best, which is more conducive to the identification of aquatic plants. In the presence of a water medium, the maximum NDVI can also have a better response to aquatic plants. Therefore, this study determines the optimal NDVI scheme based on the latter, which is different from the conventional NDVI calculation by using single or several bands. The approach avoids the influence of red edge displacement on the calculation results and provides a new calculation way of vegetation index [27].

By combining Tables 2–5, the optimal NDVI value of Caohai is the value calculated by B86 and B151. Similarly, in Waihai, when the reflectance of the red band is the min (B86) and the near-infrared band (B99) reaches the max, it is the optimal NDVI value.

3.4. Spatial Differentiation of NDVI and Aquatic Plants (Water Quality) in Dianchi

It is well known that the NDVI value ranges from −1 to 1. When the value is negative, it implies that the ground is covered with clouds, water, snow, etc. When the value is 0, it reveals that there are rocks or bare soil, etc., and the reflectance of the near-infrared band is approximately equal to that of the red band. When the NDVI value is positive, it indicates the distribution of plants and an increase in NDVI value indicates an increase in plants [31]. When the NDVI value is 1, it indicates that plants are in a good growth state and have a high coverage density. Based on this principle, the NDVI threshold dividing standard in the study area is obtained (Table 6).

Therefore, the calculated NDVI_max is combined with Table 6 to reveal the spatial distribution of aquatic plants in Caohai and Waihai, the spatial differentiation of water quality in Caohai and Waihai was presented (Figure 6).

(a)

(b)

As can be seen in Figure 6(a), Caohai is dominated by sparse aquatic plants, while areas with no aquatic plants are mainly distributed in the northern Caohai, areas of dense aquatic plants are discretely distributed in the lakeshore zone. According to the statistics in Table 7, areas with NDVI value [0, 1) in Caohai account for about 90.425% of the total area, which is the largest proportion. The second proportion is the area with NDVI value [−1, 0), taking up about 8.922%, about 0.653% of the total area suffers extreme water quality problems (with NDVI value of 1). Only the water quality in the northern Caohai is under good condition, with no aquatic plants. For most regions, Caohai is characterized by poor water quality situation.

As can be seen in Figure 6(b), Waihai is mainly characterized by no aquatic plants. The sparse aquatic plants’ areas are primarily located in the southern and northern Waihai, as well as a dispersed distribution in the lakeshore zone, while the dense aquatic plants’ areas are almost not found. According to the statistics in Table 7, for Waihai, areas with NDVI value [−1, 0) accounts for about 99.277% of the total area, which is the largest proportion. The second proportion is areas with NDVI value [0, 1), contributing about 0.722% of the total area. Areas with an NDVI value of 1 account for only about 0.001%. For Waihai, poor water quality conditions mainly occurred in the north and south, and the water quality in the rest areas is acceptable. We also noticed that water quality from the lakeside zone to the central lake showed a conspicuous descending trend.

By comparing Figures 6(a) and 6(b), significant regional differences of NDVI were found for both water bodies. Meanwhile, under the same threshold division standard, the proportion of sparse aquatic plants in Caohai is much larger than that in Waihai, which is 90.425% and 0.722%, respectively. Moreover, the proportion of dense aquatic plants in Caohai is also larger than that in Waihai, which is 8.922% and 0.001%, respectively. Therefore, Caohai is suffering from more water environmental problems than Waihai; especially in southern Caohai, the situation is far worse than that of northern Waihai.

3.5. Comparison with Local Experiments

A wide variety of approaches have been employed by many local scholars to study the spatial differentiation in Dianchi Lake, such as He et al. [12]. Based on the 16-day synthetic 250 m × 250 m resolution NDVI data product of MODIS image from 2000 to 2017, the spatiotemporal distribution of NDVI in Dianchi Lake was analyzed in detail. The distribution area and spatial variation characteristics of different levels of cyanobacterial blooms were discussed. The results showed that annual NDVI in the Dianchi area showed a decreasing trend from 2000 to 2017. The bloom coverage of cyanobacteria decreased, and the eutrophication bias was alleviated. And the area without water bloom accounted for the largest proportion in December for many years. The cyanobacteria bloom was heavier in the north region in Dianchi Lake than that of the south region. The relatively serious areas of water bloom were concentrated in the North of Caohai, Broken Bridge, and Hui Bay.

Furthermore, to investigate the relationship of algal community dynamics with nitrogen and phosphorus concentrations in Dianchi Lake, Hou et al. [32] monitored the planktonic algae biomass and the concentrations of nitrogen and phosphorus monthly from May 2013 to April 2015. The spatial-temporal heterogeneity of nitrogen and phosphorus concentrations in Dianchi Lake was then analyzed. According to the geographical location of Dianchi Lake, 10 sampling points were established in Caohai and Waihai (Figure 7). There are 2 sampling points in Caohai, including the center of Caohai and Broken Bridge, located in the central and southern parts, respectively. And there are 8 sampling points in Waihai. The northern part includes Hui Bay and Luojiaying. The central part includes the West of Guanyin Mountain, Baiyukou, East of Guanyin Mountain. The southern part includes the West of Haikou and South of Dianchi. The water samples were taken back to the laboratory every January, and the algae in water samples were detected by Phyto-PAM. The contents of total nitrogen and total phosphorus were detected by a hash water quality analyzer (DR5000). The results showed that in December each year, the nitrogen and phosphorus in Caohai were higher than those in Waihai, indicating that the eutrophication level in Caohai was higher than that in Waihai. The biomass of green algae in Caohai was higher than that of cyanobacteria, and the biomass of green algae in Caohai was much higher than that in Waihai. To sum up, it was proved that the water quality of Caohai is worse than that of Waihai.

There are still many local studies [33] similar to the above-mentioned ones with different perspectives. The results of this study are also consistent with those local experiments, so the study methods and results of this study are feasible to some degree for rapid water environment assessment.

4. Discussions

Dianchi Lake is the biggest plateau lake in Yunnan province and the governance of which has attracted much attention. In recent years, with the unremitting efforts of the government and the community, the water environment condition of Dianchi Lake has been steadily improved. According to He et al. [12], areas with no aquatic plants accounted for 69.34% of the total area of Dianchi Lake in the winter of 2000. The estimates of this study show that the same ratio of Dianchi Lake in the winter of 2019 is 96.30%. It can also be found that the water quality of Dianchi was significantly improved by referring to relevant information. From 2015 to 2019, the water quality of Dianchi changed from severe pollution to mild pollution, which achieved a leap-forward improvement from superclass V to IV. In 2019, the concentrations of chemical oxygen demand, ammonia nitrogen, total phosphorus, and total nitrogen in Dianchi were 28 mg/L, 0.14 mg/L, 0.07 mg/L, and 1.26 mg/L, respectively, decreasing by 40%, 65%, 41%, and 45% compared with 2015, respectively [34]. This shows that the government’s approach to scientific, systematic, intensive, and law-based governance over the past few years has been effective. To realize a long-term cooperation mechanism with universities and scientifically solve the technical difficulties of lake governance, pay attention to the overall production and lifestyle optimization in the Dianchi basin. Enact relevant laws and regulations to form a mechanism for rule of law. Although some achievements have been made, there is still a long way to go for the governance of Dianchi Lake in the future.

To prove that the NDVI obtained from hyperspectral data is superior to multispectral data in water quality estimation. The multispectral data of Landsat8 were taken as an example to verify the results through concrete experiments. In this paper, Landsat8 multispectral remote sensing images of Dianchi Basin with the closest time interval were obtained. This image was taken on November 15, 2019; data ID is LC81290432019319LGN00. By applying Band 4 (655 nm) and Band 5 (865 nm) of Landsat8 to calculate the NDVI of Caohai and Waihai, NDVI thresholds are divided according to the standard in Table 6. The spatial distribution of water quality in Dianchi based on NDVI value as shown in Figure 8 is obtained. The NDVI calculated by Landsat8 does not belong to the range of [−1, 0), and it is difficult to reflect the spatial distribution characteristics of aquatic plants in Dianchi in Figure 8. It can be found that compared with multispectral data, hyperspectral data have a better effect on water quality estimation.

This study gains a good command of the theoretical basis for constructing optimal NDVI using hyperspectral characteristic bands, but there are still some shortcomings. NDVI is the most commonly applied vegetation index to analyze the regional-scale distribution of aquatic plants. However, when we calculate the NDVI value of aquatic plants, the results are not only affected by the atmospheric factors but also by the water medium. Information about aquatic plants in deep water is difficult to be obtained, so the NDVI value will be underestimated to some degree. To identify aquatic plants more accurately and quickly, the precision can be improved by refining research methods and enriching data sources in the future. In addition, we will pay more attention to multiperiod change detection. Since GF-5 is a satellite launched in recent years, historical data are limited. With the accumulation of time-series images, the research methods are continuously optimized in combination with hyperspectral data. Comprehensive application of multisource remote sensing technology to establish a more perfect water quality monitoring program is also considered. By supplementing these contents, this work can realize the prediction of water pollution in inland lakes and promote the scientific management of plateau water resources based on remote sensing technology.

5. Conclusions

Through the experimental study in this paper, the following conclusions are drawn:(1)NDVI plays an important role in monitoring aquatic plants, while hyperspectral data has a high spectral resolution. How to select the bands to make the effective construction of NDVI has become a challenge for hyperspectral images. This problem was solved through a series of experiments and research in this study. Under the principle that when NDVI reaches the max, the spectral response effect is the best and easy to identify aquatic plants, so the optimal NDVI can be constructed using characteristic band reflectance. When the reflectance of the red band is the min and the near-infrared band is the max, it is the optimal NDVI. Specifically, the optimal NDVI value of Caohai is calculated by B86 and B151, while the optimal NDVI value of Waihai is determined by B86 and B99.(2)For Caohai, only the water quality in northern parts is acceptable and no aquatic plants are found in this region, but for most regions, the aquatic plants’ situation and the quality of the lake water environment are not optimistic and need to be taken seriously. The water quality problems in Waihai are mainly concentrated in the north and south. Generally, there is a descending trend in water quality from the lakeside zone to the central lake.(3)Under the same threshold division standard, both the proportions of sparse aquatic plants and dense aquatic plants in Caohai are much larger than those of Waihai. Caohai is suffering from more water environmental problems than Waihai, and the water quality in southern Caohai is far worse than that of northern Waihai.(4)By comparing the research results to local studies in the winter of 2000, it is found that a series of measures taken by the government to protect and control Dianchi Lake during these years are extremely effective. Although some achievements have been made, there is still a long way to go for the governance of Dianchi Lake in the future.

Data Availability

The GF-5 hyperspectral data that support the findings of this study are conditionally available in the Yunnan Applied Research Center for Earth Observation Data. The data are not publicly available because they contain information that could compromise the privacy of Yunnan Applied Research Center for Earth Observation Data.

Conflicts of Interest

The authors declare that there are no conflicts of interest regarding the publication of this article.

Authors’ Contributions

Hu Lin wrote the manuscript and Gan Shu designed the framework of the research; Yuan Xiping and Chen Guokun have given many suggestions for improving and modifying this paper; and Li Yan and Gao Sha contributed to data processing and analysis. All the authors were involved in result analysis and discussion.

Acknowledgments

Thanks are due for the field investigation work done by many students from the “Yunnan Province University Engineering Research Center of Spatial Information Surveying and Mapping Technology Application in Highland Mountain Area” and “Yunnan Applied Research Center for Earth Observation Data.” This work was supported by the National Natural Science Foundation of China (NSFC) project, “Multi-Scale Remote Sensing Detection and Analysis of Debris Flows in Dongchuan Xiaojiang” (Grant no. 41861054).

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Copyright © 2021 Hu Lin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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