Detecting Low-Intensity Fires in East Asia Using VIIRS Data: An Improved Contextual Algorithm

: The Visible Infrared Imaging Radiometer Suite (VIIRS) ﬁre detection algorithm mostly relies on thermal infrared channels that possess ﬁxed or context-sensitive thresholds. The main channel used for ﬁre identiﬁcation is the mid-infrared channel, which has relatively low temperature saturation. Therefore, when the high temperature of a ﬁre in this channel is used for initial screening, the threshold is relatively high. Although screening results are tested at different levels, few small ﬁres will be lost under these strict test conditions. However, crop burning ﬁres often occur in East Asia at a small scale and relatively low temperature, such that their radiative characteristics cannot meet the global threshold. Here, we propose a new weighted ﬁre test algorithm to accurately detect small-scale ﬁres based on differences in the sensitivity of test conditions to ﬁre. This method reduces the problem of small ﬁres being ignored because they do not meet some test conditions. Moreover, the adaptive threshold suitable for small ﬁres is selected by bubble sorting according to the radiation characteristics of small ﬁres. Our results indicate that the improved algorithm is more sensitive to small ﬁres, with accuracies of 53.85% in summer and 73.53% in winter, representing an 18.69% increase in accuracy and a 28.91% decline in error rate. L.S.,


Introduction
Fires, both natural and man-made, occur frequently and possess strong breaking speeds. The harmful gases and smoke released during combustion have serious impacts on the climate and air quality [1][2][3]. In East Asia, the first step in crop production within a year is to burn the remaining plants from the preceding year and remove the sundries from the field. These agricultural fires are characterized by small areas and low temperatures [4]. Using recent remote sensing algorithms, the detection of such small fires is difficult because the radiation emitted cannot be easily distinguished from non-fire background radiation. The small fires mentioned in this study are mostly caused by burning of crops by humans and are characterized by small area and short combustion time. To date, most fire detection algorithms have been designed for global application. Therefore, the present study aims to design and evaluate a small-fire detection algorithm suitable for crop combustion in East Asia and compare its performance with global products. In this study, we review the most advanced remote sensing technology for detecting small and cold fires and propose an improved algorithm using Visible Infrared Imaging Radiometer Suite (VIIRS) observation data.
Satellite data are widely used for detecting active fires and biological combustion. Over the years, with the validation and improvement of detection algorithms, fire products have reached a mature level of application [5][6][7][8][9]. The common means of satellite remote sensingbased fire monitoring include the differences in brightness temperature in the thermal infrared band, reflection in the visible and near-infrared bands, and the combination of these two types of information. NOAA's advanced very high-resolution radiometer characteristics of small fires. In short, reflected solar radiation reduces the contrast between fire pixels and non-fire background pixels [24].
For the reasons outlined above, VIIRS fire products can be improved by changing the threshold for identifying potential fire pixels, and by adjusting the overall test conditions and its weight. In this study, we analyzed the weight of test conditions according to the differences in the sensitivity of test conditions to fires, proposed a new fire probability algorithm created by the sensor, and calibrated a new global optimal probability threshold to reduce false positive errors in fire detection. The achieved increase in the weights of test conditions effectively reduced the problem of small fires being ignored during model-level screening.

Input Data
VIIRS is a remote-sensing instrument flying on the S-NPP and NOAA-20 (also referred to as JPSS-1) satellite platforms [25]. VIIRS has 22 channels, with a nominal spatial resolution of 375 m in the five imagery bands (I-bands) and 750 m in 16 moderate resolution bands (M-bands), covering a spectral range from 0.412 µm to 12.01 µm. In addition, the unique DNB is included on VIIRS, that measures radiances over a broadband spectrum from 0.4 to 0.9 µm with a nominal spatial resolution of 750 m [26,27]. It can be downloaded from the Earthdata Search website of the United States National Aeronautics and Space Administration (https://search.earthdata.nasa.gov). The spectral and spatial characteristics of the VIIRS channels utilized in this study are listed in Table 1.

Fire Detection Algorithm
The major driving factors of the fire detection algorithm proposed in this study are VIIRS I4 and I5. The spectral response of channel I4 ranges from 3.55-3.93 µm, centered at 3.74 µm. Channel I5 is centered at 10.5-12.4 µm and is the major channel of comparison with I4. The remaining three I-band channels (I1, I2, and I3) cover the visible light (0.6-0.68 µm), near-infrared (0.846-0.885 µm), and short-wave infrared (1.58-1.64 µm) spectra to support the recognition of clouds, solar scintillation, and water bodies in fire detection algorithms [28,29]. Channel I4 provides the millimeter-wave imaging radiometer brightness temperature, which can be utilized as the main parameter in active fire detection. The wavelength range of the channel has a peak spectral radiation for blackbody emissions at temperatures between 737 and 817 K. However, the saturation temperature of the channel is 367 K, and improved spatial resolution leads to frequent fire pixel saturation. Therefore, this is considered to be the most important channel feature affecting the development of the active excitation algorithm in this dataset. The VIIRS fire product model was originally composed of a two-channel temperature test and stepped judgment. The first part of the test involved the VIIRS channels I4 and I5. The brightness temperature was initially required to meet the initial threshold. Further, the differences in the spatial contrast of the brightness temperatures of the VIIRS channels were analyzed in order to capture areas of abnormally high temperature. Based on similar methods to those utilized in the International Geosphere Biosphere Program and Moderate Resolution Imaging Spectroradiometer fire products, pixels containing optically thick clouds were independently classified as part of the fire algorithm [30], eliminating clouds, desert and coastal boundaries, and solar flares.
Visible Infrared Imaging Radiometer Suite active fire detection and characterization products provide a good foundation for fire identification but ignore the fact that the lowtemperature state of small fires in channels I4 and I5 does not meet the initial threshold. The Remote Sens. 2021, 13, 4226 4 of 12 difference in fire sensitivity under different test conditions is not taken into consideration. Therefore, the probability of variation in brightness temperature must be modified to capture small, low-temperature fires by adding the proposed contrast test to eliminate the entrustment error from specific surfaces with significant contrasts.
In this study, we mostly focused on test conditions and threshold selection, analyzed the feasibility of test conditions, the optimal threshold range, and the sensitivity of the new threshold. Furthermore, we resolved the instability of the test conditions and error caused by the use of a fixed threshold, so as to reduce false positives. Weight analysis of the fire test conditions serves as the core of the improved algorithm and therefore, different test condition weights were employed for two seasons (winter and summer). Additionally, as the original fire probability threshold is outdated, our approach represents an improvement in the probability of algorithm accuracy. However, a global optimal fire probability threshold must also be proposed for the new algorithm.

Contextual Concept
The contextual analysis implemented by VIIRS fire products samples the dynamically allocated window size to achieve the best representation of the candidate fire pixel's background. Adjacent pixels are utilized to estimate the radiation signal of potential fire pixels. In addition, effective adjacent pixels in the window centered on potential fire pixels are identified and utilized to estimate the background value. In the case of VIIRS I-bands, the minimum sample size was set to 11 in this study and centered on the candidate fire pixel × 11 element window. The sampling window was allowed to grow to a maximum size of 31 × 31 pixels-until at least 25% of the sample size consisted of effective pixels or at least 10 effective pixels were found. Similar to large-area background sampling applied to daytime data, effective pixels do not include those classified as clouds, water bodies, potential background fires, or pixels with non-zero quality marks on any input band, including pixels with filled values. If the minimum number of effective pixels cannot be met, the pixel is designated as an "unknown," indicating that the background condition could not be correctly characterized [20].

Spectral Test Weight
In this study, the final fire probability was calculated by analyzing the differences in the spectral probabilities and fire sensitivities under different test conditions. In single-channel parameter selection, the brightness temperatures of channels I4 and I5 (BT 4 , BT 5 ) and the differences between them (∆BT 45 ) were the major analytical parameters. Figure 1 displays the light temperature characteristic curve of fire pixels in the two seasons considered, which was established by taking 30 typical samples for the fire and non-fire cases. As observed from this figure, a significant difference in the brightness temperature in the I4 channel between fire and non-fire pixels existed, leading to the inference that this channel is most suitable for distinguishing pixels containing sub-resolution combustion components from pixels composed of cooler flameless background areas. Here, BT 4 is still the basic condition for preliminary judgment and a weight of 0.3 is added to the fire probability.
Theoretically, channel I5 is the major channel for comparison with I4 to separate active fires from their non-fire backgrounds. However, for small fires, the sensitivity of channel I5 was observed to be weak, and its sensitivity in winter was higher than that in summer. The test of channel I5 in the original algorithm was thus changed to adapt to the difference in the test conditions (i.e., weighted by 0.2 in winter and 0.1 in summer) of fire probability. The differential sensitivity for distinguishing between fires and exposed ground heated by the sun was calculated as ∆BT 45 and the characteristic curve of VIIRS data ( Figure 1) demonstrated better sensitivity than channel I5. Therefore, a weight of 0.3 was added to the fire probability. Remote Sens. 2021, 13, x FOR PEER REVIEW 5 of 13 Theoretically, channel I5 is the major channel for comparison with I4 to separate active fires from their non-fire backgrounds. However, for small fires, the sensitivity of channel I5 was observed to be weak, and its sensitivity in winter was higher than that in summer. The test of channel I5 in the original algorithm was thus changed to adapt to the difference in the test conditions (i.e., weighted by 0.2 in winter and 0.1 in summer) of fire probability. The differential sensitivity for distinguishing between fires and exposed ground heated by the sun was calculated as ∆BT 45 and the characteristic curve of VIIRS data ( Figure 1) demonstrated better sensitivity than channel I5. Therefore, a weight of 0.3 was added to the fire probability.

Contextual Test Weight
It is impractical to detect clear daytime fire-affected pixels based on the simple fixed threshold applied to the brightness temperature data of VIIRS channels I4 and I5, as the spectral characteristics of these channels may lead to a large number of false positives. The initially large sampling area can adapt to changes in background conditions and increase the flexibility of candidate fire pixel selection. The aim of such adaptability is to improve the sensitivity of the algorithm to fires in cold high latitudes and to reduce the false positive rate at low latitudes with warmer backgrounds.
The VIIRS fire product explores the unique radiative characteristics related to active fires and compares them with adjacent pixels without fires, which constitutes the key test conditions for fire identification. When the minimum pixels constructed by the background pixel window are met, the average brightness temperature deviation of the background pixel in I4 and i5 channels is ( ̅̅̅̅ 4 , ̅ 4 ) ( ̅̅̅̅ 5 , ̅ 5 ), as was the difference in brightness temperature between these channels (∆ ̅̅̅̅ 45 , ̅ 45 ) using a background sample. Additionally, the mean and mean absolute deviations were calculated for channel I4 brightness temperature data from potential background fire pixels found within the sampling window ( ̅̅̅̅ 4 , , ̅ 4 , ): ∆BT 45 > ∆ ̅̅̅̅ 45 + 10 (2)

Contextual Test Weight
It is impractical to detect clear daytime fire-affected pixels based on the simple fixed threshold applied to the brightness temperature data of VIIRS channels I4 and I5, as the spectral characteristics of these channels may lead to a large number of false positives. The initially large sampling area can adapt to changes in background conditions and increase the flexibility of candidate fire pixel selection. The aim of such adaptability is to improve the sensitivity of the algorithm to fires in cold high latitudes and to reduce the false positive rate at low latitudes with warmer backgrounds.
The VIIRS fire product explores the unique radiative characteristics related to active fires and compares them with adjacent pixels without fires, which constitutes the key test conditions for fire identification. When the minimum pixels constructed by the background pixel window are met, the average brightness temperature deviation of the background pixel in I4 and i5 channels is (BT 4b , δ 4b ) (BT 5b , δ 5b ), as was the difference in brightness temperature between these channels (∆BT 45b , δ 45b ) using a background sample. Additionally, the mean and mean absolute deviations were calculated for channel I4 brightness temperature data from potential background fire pixels found within the sampling window (BT 4 , δ 4 ): These tests formed the key fire test conditions in the product. For this part of the test, we only allocated the weight and did not change the factors in the formula. As an important part of the VIIRS fire product, the proportion of weight distributions for each test condition was 0.3, but for BT 5 , the test weight was set to 0.1.
Based on the VIIRS fire product contextual test, we added judgment conditions to expand those already available in order to eliminate the spatial heterogeneity of fire detection. The differences in the brightness temperature between potential fire and background pixels in channels I4 and I5 were ∆BT 4 and ∆BT 5 , respectively, and the difference between potential fire and adjacent background pixels for channels I4 and I5 was ∆BT 45 (Figure 2). In Figure 2a, the surface temperature in winter represents the air and ground temperatures caused by the overall climate, snow cover, and other factors. The special high-temperature conditions of winter fires display the large changes in their difference with respect to the adjacent non-fire pixels in channel I4. These changes were weighted (0.3) into the fire probability. The differences in the information between channels I5 and I4 still revealed this obviously large spatial difference and was also weighted (0.3) into the fire probability. However, there was no significant change in the difference between the brightness temperature of fire areas and adjacent non-fire pixels in channel I5, which were similar to the pixel characteristics of adjacent non-fire areas.
between potential fire and adjacent background pixels for channels I4 and I5 was ∆BT 45 ， ( Figure 2). In Figure 2a, the surface temperature in winter represents the air and ground temperatures caused by the overall climate, snow cover, and other factors. The special high-temperature conditions of winter fires display the large changes in their difference with respect to the adjacent non-fire pixels in channel I4. These changes were weighted (0.3) into the fire probability. The differences in the information between channels I5 and I4 still revealed this obviously large spatial difference and was also weighted (0.3) into the fire probability. However, there was no significant change in the difference between the brightness temperature of fire areas and adjacent non-fire pixels in channel I5, which were similar to the pixel characteristics of adjacent non-fire areas. Figure 2. Comparison of differences in the spatial distribution of brightness temperatures between pixel channels I4 and I5 when 15 typical samples were selected. Contextual comparison between channels I4 and I5 of some fire and non-fire pixels (a) in winter; (b) is summer. The x-axis is the number of sampled pixels, and the y-axis represents the difference in brightness temperature between the potential fire and the effective adjacent pixels in the window.
Channel I5 is a single-gain channel with a saturation temperature of 380 K. For the judgment of small and cold fire pixels, the effect of separating an active fire from its nonfire background is poor. Even in winter, the fire probability weight (0.2) was adjusted. Figure 2b displays the contextual comparison of channels I4 and I5 for fire and non-fire pixels of partial sample data in summer. Owing to the influence of sunlight and temperature in summer, the overall surface temperature increased and the difference between the fire and adjacent pixel temperatures decreased significantly. Although the spatial differences in brightness temperatures in the fire areas decreased, they remained obviously different from the non-fire areas. In contrast, the spatial differences in the brightness temperatures of channel I5 were not clear in summer, and the division between fire and non-fire areas was not obvious. The best weight of height differences in channel I4 between fire and background pixels was 0.3, the best weight for channel I5 was 0.1, and the best weight for height differences between fire pixels in channels I5 and I4 and the background pixels weight (0.2) which was lower in summer than in winter.

Figure 2.
Comparison of differences in the spatial distribution of brightness temperatures between pixel channels I4 and I5 when 15 typical samples were selected. Contextual comparison between channels I4 and I5 of some fire and non-fire pixels (a) in winter; (b) is summer. The x-axis is the number of sampled pixels, and the y-axis represents the difference in brightness temperature between the potential fire and the effective adjacent pixels in the window.
Channel I5 is a single-gain channel with a saturation temperature of 380 K. For the judgment of small and cold fire pixels, the effect of separating an active fire from its non-fire background is poor. Even in winter, the fire probability weight (0.2) was adjusted. Figure  2b displays the contextual comparison of channels I4 and I5 for fire and non-fire pixels of partial sample data in summer. Owing to the influence of sunlight and temperature in summer, the overall surface temperature increased and the difference between the fire and adjacent pixel temperatures decreased significantly. Although the spatial differences in brightness temperatures in the fire areas decreased, they remained obviously different from the non-fire areas. In contrast, the spatial differences in the brightness temperatures of channel I5 were not clear in summer, and the division between fire and non-fire areas was not obvious. The best weight of height differences in channel I4 between fire and background pixels was 0.3, the best weight for channel I5 was 0.1, and the best weight for height differences between fire pixels in channels I5 and I4 and the background pixels weight (0.2) which was lower in summer than in winter.

Weight Calculation
The temperatures of different underlying surfaces have variable impacts on the results of fire detection. In addition, different algorithms provide unique contributions to the final results, which mostly depend on the accuracy of the tests performed. In this study, the accuracy of the fire detection algorithm was weighted to the results of different tests, and a fire probability diagram was generated. A probability = 1 denoted a fire point of complete combustion and a probability = 0 denoted an area without fire. We also limited the results several times, including cloud water discrimination and solar flare removal. The following formula gives the probability (G), wherein F i is the fire detection result, Q i is the corresponding weight of the algorithm, and N is the total number of algorithms.

Optimal Threshold of New Fire
Threshold selection played a decisive role in the test results. With the improvement of weight calculations, the threshold was required to be updated. To find the best threshold Remote Sens. 2021, 13, 4226 7 of 12 for each test, the minimum and maximum values of the corresponding test conditions of the fire pixels were counted, and the threshold changed from the statistical minimum to the maximum at the interval of the corresponding step of the test conditions. With these changes in the threshold, the accuracy and surface misjudgment rate also changed. When the accuracy of the pixel was maximized and resulted in minute impact on the threshold, the corresponding test threshold performed best; when the threshold reached a certain value, the accuracy increased slowly with changes in the threshold, while the misjudgment rate increased significantly with increase in the threshold. The threshold with the lowest misjudgment rate was selected as the best threshold. This method reduced the influence of subjectivity and resulted in reasonable conditions.

Optimum Spectral Threshold
Image-based thresholds were used to extract fires in VIIRS fire products. However, by changing the weighted probability, the threshold of fire detection also changed. Therefore, we recalibrated the fire probability threshold based on a sensitivity analysis of 100 fire pixel reference images. To determine the best threshold, we allowed it to vary between 260 and 350 (at an interval of 1) and selected the threshold with the highest overall accuracy (Figure 3). In fire detection, the accuracy rate should be considered, and any increase in accuracy should not be affected by the error rate. We inferred that the best thresholds (highest overall accuracy) of BT 4 were 325 K in winter and 335 K in summer, while those for BT 5 were 295 K in winter and 306 K in summer. The optimal thresholds of differential information from the I4 and I5 channels were 32 in winter and 26 in summer. However, these were global optimal thresholds, and different surface types may require the implementation of different thresholds.

Optimal Contextual Threshold
Under the original spatial test conditions of the VIIRS fire products, the central fire pixel should be greater than the sum of the mean and deviation of adjacent pixels. This condition has important implications for fire alarms, but the difference in fire sensitivity under different conditions should be reconsidered. In this study, weight calculations were added to the spatial comparisons, from which the test conditions were corrected, and the fire probability threshold was calibrated with a test fire point (Figure 4). Nevertheless, it remains necessary to determine the optimal threshold of the parameters in combination with the error rate. As the I5 channel does not exhibit obvious differences in the window as displayed in Figure 4, the optimal threshold was not selected, and complex changes were observed. Ultimately, the 5-K threshold of the product was implemented. Meanwhile, for channel I4, the test condition threshold was 11 K in winter and 13.5 K in summer. The threshold for the test conditions of the difference between channels I4 and I5 was 14 K. However, it was obvious that the accuracy of the best threshold selected in summer was lower than that in winter, and the difference in sensitivity required compensation via the aforementioned weight calculations.

Optimal Contextual Threshold
Under the original spatial test conditions of the VIIRS fire products, the central fire pixel should be greater than the sum of the mean and deviation of adjacent pixels. This condition has important implications for fire alarms, but the difference in fire sensitivity under different conditions should be reconsidered. In this study, weight calculations were added to the spatial comparisons, from which the test conditions were corrected, and the fire probability threshold was calibrated with a test fire point (Figure 4). Nevertheless, it remains necessary to determine the optimal threshold of the parameters in combination with the error rate. As the I5 channel does not exhibit obvious differences in the window as displayed in Figure 4, the optimal threshold was not selected, and complex changes were observed. Ultimately, the 5-K threshold of the product was implemented. Meanwhile, for channel I4, the test condition threshold was 11 K in winter and 13.5 K in summer. The threshold for the test conditions of the difference between channels I4 and I5 was 14 K. However, it was obvious that the accuracy of the best threshold selected in summer was lower than that in winter, and the difference in sensitivity required compensation via the aforementioned weight calculations. remains necessary to determine the optimal threshold of the parameters in combination with the error rate. As the I5 channel does not exhibit obvious differences in the window as displayed in Figure 4, the optimal threshold was not selected, and complex changes were observed. Ultimately, the 5-K threshold of the product was implemented. Meanwhile, for channel I4, the test condition threshold was 11 K in winter and 13.5 K in summer. The threshold for the test conditions of the difference between channels I4 and I5 was 14 K. However, it was obvious that the accuracy of the best threshold selected in summer was lower than that in winter, and the difference in sensitivity required compensation via the aforementioned weight calculations. . The yaxis shows the difference in the brightness temperature between the fire pixels in the centers of each channel and the adjacent effective pixel in the window, and the x-axis shows the fire probability.

Results and Discussion
Most of the "true" fires provided in the fire verification incorporate the currently utilized fire products and fire databases as reference data. However, the small fires detected in this paper are characterized by a small over fire area and short combustion time. The  I4-I5 (b). The y-axis shows the difference in the brightness temperature between the fire pixels in the centers of each channel and the adjacent effective pixel in the window, and the x-axis shows the fire probability.

Results and Discussion
Most of the "true" fires provided in the fire verification incorporate the currently utilized fire products and fire databases as reference data. However, the small fires detected in this paper are characterized by a small over fire area and short combustion time. The fire database or fire products are not suitable for verifying the detection of small fires based on VIIRS data, high-resolution data (Landsat 8 OLI) as a visual interpretation. In addition, an imaging time difference with VIIRS data is observed, and the burning time of crops is short. This difference in imaging time makes Landsat 8 unable to be utilized as validation data. In order to verify the identification of small fires by the improved algorithm, the fire was tracked manually. Due to the problem of labor cost, a typical area is selected in the East Asia (34 • 22.9 -38 • 24.01 N, 114 • 47.5 -122 • 42.3 E). The tracking periods were considered from 1 October to 30 December 2020 (winter) and from 1 June to 30 June 2021 (summer). We compared previous VIIRS fire products and analyzed the characteristics of the fires. Each fire event was manually verified, as displayed in Figure 5, and the results of algorithm comparisons are presented in Table 2. The verification work carried out in this study aims to test the improved algorithm in the detection of small crop combustion fire. The global VIIRS fire products are utilized for comparison, and the fire characteristics are analyzed. Compared with global products, the improved algorithm has a high miss rate of 66.66% and an error rate of 96.55% in summer in crop combustion fires in the Far East. The improved algorithm is more sensitive to small fires, the accuracy has been improved, and the miss rate has decreased to 46.15%. In order to accurately demonstrate the accuracy difference between the improved algorithm and the global VIIRS fire products, the missing fire points of VIIRS fire products are extracted and analyzed in different seasons to exhibit the advantages of the improved algorithm.

Comparison of Algorithms in Summer
During the summer detection period, six fire points were selected from the fires not detected by the VIIRS fire products (Table 3). Taking Point 1 as an example, the improved algorithm detected a thermal anomaly at 4:42 on 19 June 2021, but no fire was detected in the VIIRS fire products. Upon field investigation, a fire was confirmed. In Table 3, the BT 4 and BT 5 of fire Point 1 exhibited an obvious trend towards high temperatures and the brightness temperatures of the potential fire pixels in the I4 and I5 channels were 35.52 K

Comparison of Algorithms in Summer
During the summer detection period, six fire points were selected from the fires not detected by the VIIRS fire products (Table 3). Taking Point 1 as an example, the improved algorithm detected a thermal anomaly at 4:42 on 19 June 2021, but no fire was detected in the VIIRS fire products. Upon field investigation, a fire was confirmed. In Table 3, the BT 4 and BT 5 of fire Point 1 exhibited an obvious trend towards high temperatures and the brightness temperatures of the potential fire pixels in the I4 and I5 channels were 35.52 K and 7.41 K higher than those of the adjacent pixels. The fire at this location was obvious. However, the judgment value of ∆BT 45 in the VIIRS fire product algorithm was high, resulting in a thermal anomaly that could not meet this test requirements and was therefore eliminated. At 5:36 on 19 June 2021, the brightness temperatures of the I4 channel at points 2, 3, and 4 were very high. The potential fire pixel values of the I4 channel were more than 30 K higher than those of the surrounding pixels. It was verified from field investigations that a fire occurred. It can be inferred from the information in Table 3 that these fire points were also observed in channel I5, wherein the potential fire pixels were close to the surrounding pixels and the difference in their brightness temperatures did not exceed the 5 K required in the VIIRS fire product algorithm. Thus, it was ignored. Through improved identification, the judgment weights of the potential fire pixels and adjacent pixels of fires in points 2, 3, and 4 in the I5 channel only accounted for 0.1. After the calculation, the probability of such fires was 99.9%. As VIIRS fire products have been developed globally, such a small fire will fall victim to omission errors owing to the limitations of certain test conditions. In contrast, the improved algorithm allowed for the clear identification of small fires.

Comparison of Algorithms in Winter
Surface temperatures were lower in winter than in summer, as were the brightness temperatures of the thermal anomaly points. Four fire points were selected for a case study in fires that were left unidentified by the winter VIIRS fire products (Table 4). Taking the fire Point 1 at 4:24 on 7 October 2020 as an example, on-site validation demonstrated that the identification of the improved algorithm was correct. A fire had occurred here, but it was not identified in the product. Fire Point 1 was observed in channel I4, and the brightness temperature was high, reaching 342.46 K. The brightness temperature of potential fire pixels was 35.13 K higher than those of the adjacent pixels, and the fire characteristics were obvious. However, because the brightness temperature of the I5 channel was close to those of the surrounding pixels, the fire was eliminated from the data, resulting in an omission error. For the Point 4 fire at 6:12, the brightness temperature of channel I5 was only 277.27 K, which also resulted in the rejection of the VIIRS fire products. Nevertheless, according to the brightness temperature of channel I4, it can be observed that there a thermal anomaly existed at this location and the potential fire and adjacent pixels of channels I4 and I5 met the conditions for fire determination. It was also confirmed by field investigation that a fire had occurred. The improved algorithm compensated for the uncertainty of the channels and identified the fires with an accuracy of >95%, allowing for the accurate identification of these small fires. The characteristics of small cold fires not detected by VIIRS fire products are listed in Tables 3 and 4. These fires were seriously affected by seasonal images and show different brightness temperatures in different seasons. Additionally, it was difficult to distinguish potential fire pixels from the surrounding pixels using channel I5. Therefore, in the improved algorithm, it was deemed reasonable to set the weight according to the sensitivity of the fire characteristics and test conditions in the area, which compensated for the differences in some of the radiative conditions of small fires.

Conclusions
According to the seasonal analysis of small fires caused by crop combustion in the Far East, this study introduces a fire detection algorithm based on VIIRS data and verifies the accuracy of the detection algorithm. We aim to provide fire management and environmen-tal protection personnel in the East Asia with detection data for small fires caused by crop combustion. This study introduces an improved small fire detection algorithm based on VIIRS data and validates its accuracy. A basic contextual structure of a fire detection algorithm similar to a medium-resolution imaging spectrometer already exists. At this stage, the detection model conducts a hierarchical judgment based on the contextual structure. The intersection of various test results causes the loss of some fire information. To ensure that small fires are not lost during hierarchical judgment, the new algorithm introduces a weight calculation, which is divided according to the difference in fire sensitivity under different test conditions. According to the calculated changes in weight, the fixed threshold was outdated, and the global thresholds for winter and summer were reestablished. During the simulation process, when the accuracy of fuzzy pixels was maximized and minimally affected by changes in threshold, the corresponding reflectivity was determined to be the best threshold for detecting fires. Through comparisons between manual field-validated data and VIIRS fire products, the accuracy of the new algorithm reached 53.85% in summer and 73.53% in winter and the overall detection effect was stable.
The small-scale fire explored in this study demonstrates high combustion frequency and wide impact range, which has brought some difficulties to environmental governance. However, due to the wide distribution of fire and difficult supervision, the support of remote sensing technology has solved the governance problem. Moreover, due to the difficulty in selecting this type of fire samples, only the data of the Far East have been studied and verified. Analyses of change based on change detection cannot fully illuminate the relationship between many multitemporal images or separate the coverage conditions and subtle or long-term changes under climate change from background noise. After long-term detection and fire data selection, we can gradually analyze the fire temperature characteristics of various regions and establish a global algorithm model.