3.1 Thematic layers generation
“Humidity, elevation, slope, aspect, temperature, rainfall, wind speed, and land use/ land cover” were the parameters employed for forest fire risk zone mapping of the surveyed region. These parameters were collected using earth observation satellite and auxiliary data. Using Landsat – 8 OLI (2021) and supervised classification, a Land Use Land Cover map of the research area was created. Furthermore, a Digital Elevation Model (DEM) derived from the “Advanced Space borne Thermal Emission and Reflection Radiometer (ASTER)” was obtained with a resolution of 30 m from the USGS, Earth Explorer for elevation, slope, and aspect purposes. Meteorological datasets such as temperature, rainfall, humidity, and wind speed for four separate meteorological stations in the district and its surrounding areas were collected from Global Weather data for SWAT. Figure 2 depicts the detailed methodology of the current investigation.
08 factors were used to examine the forest fire danger zone in Sikkim's West Sikkim district - humidity (H), land-use/land-cover (LU/LC), elevation (EL), temperature (TEMP), slope (SL), aspect (AS), wind speed (WS), and rainfall (RF).
3.1.1 Humidity
The research area's humidity map is shown in Fig. 3. When relative humidity surpasses 60%, forest fires are more likely (Malik et al. 2013). Higher temperatures cause forest fuels to dry out faster. As per the “Intergovernmental Panel on Climate Change”, the chief causes of forest fires in Asia include droughts induced by drier weather, a lack of rainfall, an increase in temperature, and a drop in precipitation (Berwyn 2018).
3.1.2 Land-use/Land-cover
Human activities have increased LULC dynamics, resulting in numerous alterations that affect various forests and ecosystems (Nikhil et al. 2021; Tien et al. 2016). Former researches (Vadrevu et al. 2010; Szpakowski et al. 2019) have signified the dominance of land cover classes in predicting a specific area's danger of fire due to fuel kinds and characteristics. LULC (Fig. 4) has been divided into four categories in this study: forest land, settlement, snow cover, and water body.
3.1.3 Elevation
Forest fires typically decrease with increasing altitude owing to lesser temperatures and increased humidity (Rothermel et al. 1983). The study area's elevation ranges from 500 to 2500 meters, which was divided into four categories: low (> 500 meters), moderate (501–1000 meters), high (1001–1500 meters), and extremely high (1501–2500 meters), as shown in Fig. 5. AHP was used to compute the actual weights of various altitude levels.
3.1.4 Temperature
Temperature plays a vital role in forest fires. High temperatures contribute to the increasing rate of evaporation, fuelling drying of leaves, needles, dead trees, twigs etc creating suitable circumstances for forest fire (Bonora et al. 2013). The research area's border areas (Fig. 6) have a rather high temperature (27˚C).
3.1.5 Slope
The rate at which a fire spreads is influenced by the slope. Fire spreads more rapidly towards the peak than foothills of the mountains (Jaiswal et al. 2002). The slope map (Fig. 7) was categorized into: low (> 15.30), moderate (15430.70), high (30845.70), and very high (< 45.70).
3.1.6 Aspect
A slope facing east absorbs more morning sunshine than one facing west. In the northern hemisphere, a south-facing hill receives more sunshine, resulting in higher temperatures that quickly dry the fuel. This makes wildfires more likely (Mukherjee et al. 2014). North and Northeast (Fig. 8), East and Southeast, South and Southwest, and West and Northwest were the four aspect classes studied.
3.1.7 Wind speed
This parameter has a huge influence on the speed and spread of fire (Bessie et al. 1995; Keeley 2004; Kayet et al. 2020). The average wind speed of the study area is 1,111.32 km/h. The wind speed map was divided into four classes − 1.5–2.8 km/h, 2.81–4.13 km/h, 4.14–5.73 km/h and 5.74-8 km/h. Wind speeds were most high in the lower and medium altitudes, while they were low at the higher altitudes (Fig. 9).
3.1.8. Rainfall
In general precipitation affects natural vegetation, the fuelling elements and soil moisture content (Pereira et al. 2005). Thus, rainy season experienced fewer fire occurrences in West Sikkim district. The research area's average rainfall is 1,66,428 mm per month. Areas situated in the higher altitude had very little ignition and fire spread. The precipitation map was categorized into four grades such as > 60.8 mm, 60.9–90.5 mm, 90.6–130 mm and more than 130 mm. The concentration of precipitation varied across the research region (Fig. 10).
3.2 Weight calculation using AHP
The most significant factor in predicting the forest fire zone is determining the weight of each thematic layer. Fuzzy sets (Bellman 1970), linguistic variables (Chen et al. 1992), and AHP (Saaty et al. 1980) were the most commonly used approaches for computing weightage to identify the fire risk zone. However, according to Vadrevu et al. (2010) and Sharma et al. (2014), the most prevalent method for determining fire risk zones is AHP. Saaty in 1980 created AHP which is a decision-added approach for generating relative ratio scales in paired comparisons. At each hierarchical level, “pair-wise comparison matrixes” were created amongst the various theme levels. To compare all elements against each other depending on their relevance, a “pair-wise comparison matrix” was created (“equal, moderate, strong, very strong, and extremely strong”). All themes and their characteristics were assigned relative level of significance using Saaty's 1–9 scale, where value "1" denotes "equal importance" between the two themes and value "9" denotes "extreme importance" of one theme compared to the other, as shown in Table 1 (Saaty et al. 1980). By dividing each element of the pair-wise matrix by the total of its columns, the normalized relative weight and final weights were determined (Table 2). The primary eigen vector of each criterion's square matrix was used to determine the weights of each layer. Based on their relative relevance, the higher the weights, the larger the influence of the factors on the forest fire. The following formulae were used to compute the weights of each of the theme levels:
FRSI = HrHw+ LrLw +ErEw+ Tr Tw+ SrSw + Ar Aw +WrWw+RrRw(1)
In this methodology, where FRSI is Forest Fire Susceptibility Index, H is humidity, L is land-use/land-cover, E is elevation, T is temperature, S is slope, A is aspect, W is wind and R is rainfall. The suffix ‘r’ and ‘w’ represent the rank and weight of each layer (Eq. 1). The calculation of Eigen Vector (by Eq. 2), weighting coefficient (by Eq. 3), Eigen value (by Eq. 4), Consistency index (by Eq. 5) and consistency ratio (by Eq. 6) are shown in Table 3. The normalized pair-wise matrix was calculated and shown in Table 4. We use following equations for our calculation.
\({v}_{p}=\sqrt[n]{{w}_{1}*{w}_{2\dots }{*w}_{n}}\) (2) \({C}_{P}=\frac{{v}_{P}}{{v}_{{P}_{1}}+...{v}_{pn}}\) (3)
$${\lambda }_{max}=\frac{E}{n}$$
4
Where,
\({w}_{1},{w}_{2\dots }{w}_{n}\) are the rating of factors.
\(n\) indicates no. of criteria.
Table 1
Scale for a Pair-wise Comparison Matrix
Intensity Importance
|
Linguistic Variable
|
1
|
Equal Importance
|
2
|
Equal to moderate importance
|
3
|
Moderate importance
|
4
|
Moderate to the strong importance
|
5
|
Strong importance
|
6
|
Strong to the very strong importance
|
7
|
Very strong importance
|
8
|
Very to the extremely strong importance
|
9
|
Extreme importance
|
Table 2
Normalized and Final Weights of Different Features of Thematic Layer for Assessment of Forest Fire
Thematic layers
|
Normalized weight (%)
|
Sub-class
|
Final Weight
|
Land-use/land-cover
|
0.33
|
Settlement
|
0.19
|
Forest
|
0.09
|
water bodies
|
0.05
|
Snow cover
|
0.01
|
Humidity
|
0.23
|
> 20
|
0.13
|
21–40
|
0.06
|
41–60
|
0.03
|
< 60
|
0.01
|
Elevation (m)
|
0.15
|
> 500
|
0.09
|
500–1000
|
0.04
|
1001–1500
|
0.02
|
1500–2500
|
0.008
|
Temperature (C)
|
0.11
|
> 4.3
|
0.06
|
4.4-8
|
0.03
|
8.1–12.6
|
0.01
|
12.7–17.3
|
0.006
|
Slope (degree)
|
0.07
|
> 15.3
|
0.04
|
15.4–30.7
|
0.02
|
30.8–45.7
|
0.008
|
< 45.7
|
0.004
|
Aspect
|
0.06
|
SW, S
|
0.04
|
NW, W
|
0.02
|
E, SE
|
0.007
|
NE, N, Flat
|
0.003
|
Wind speed (km/h)
|
0.04
|
1.5–2.8
|
0.02
|
2.81–4.13
|
0.01
|
4.14–5.73
|
0.004
|
5.74-8
|
0.002
|
Rainfall (mm)
|
0.02
|
> 60.8
|
0.01
|
60.9–90.5
|
0.005
|
90.6–130
|
0.002
|
< 130
|
0.001
|
Consistency Index (CI) which is a deviance or degree of consistency was calculated using Eq. 2, where CI = Consistency Index, n = Number of criteria.
Eq. 3 shows the calculation of Consistency ratio (Cr): where RI = random inconsistency.
\(CI=\frac{{\lambda }_{{\text{m}\text{a}\text{x}}^{-n}}}{n} \left(5\right)\)
\(CR=\frac{CI}{RI} \left(6\right)\)
If Consistency ratio (Cr) is ≤ 0.10, then the inconsistency is acceptable. Random inconsistency (RI) values for ‘n’ number of criteria, i.e., number of parameters (Saaty et al. 1980) (Table 5). Our calculated Consistency ratio (Cr) is 0.097 i.e. less than 0.01 which indicates the judgement is valid.
Table 3
Pair-wise Comparison Matrix of the Thematic Layers and consistency calculation
|
HD
|
LULC
|
ELV
|
TEMP
|
SL
|
ASP
|
WS
|
RF
|
\({v}_{p}\)
|
\({C}_{P}\)
|
D = A*\(\)\({C}_{P}\)
|
E = D /\(\)\({C}_{P}\)
|
λmax
|
CI
|
CR
|
HD
|
1
|
3
|
3
|
5
|
5
|
6
|
7
|
7
|
4.00
|
0.34
|
3.02
|
8.94
|
8.96
|
0.14
|
0.0977
|
LULC
|
0.33
|
1
|
3
|
4
|
5
|
5
|
6
|
7
|
2.83
|
0.24
|
2.13
|
8.90
|
ELV
|
0.33
|
0.33
|
1
|
3
|
3
|
4
|
5
|
5
|
1.77
|
0.15
|
1.31
|
8.76
|
TEMP
|
0.2
|
0.25
|
0.33
|
1
|
3
|
3
|
5
|
6
|
1.21
|
0.10
|
0.91
|
8.94
|
SL
|
0.2
|
0.2
|
0.33
|
0.33
|
1
|
2
|
3
|
7
|
0.81
|
0.07
|
0.59
|
8.69
|
ASP
|
0.17
|
0.2
|
0.25
|
0.33
|
0.5
|
1
|
3
|
5
|
0.62
|
0.05
|
0.45
|
8.63
|
WS
|
0.14
|
0.17
|
0.2
|
0.2
|
0.33
|
0.33
|
1
|
5
|
0.39
|
0.03
|
0.30
|
9.13
|
RF
|
0.14
|
0.14
|
0.2
|
0.17
|
0.14
|
0.2
|
0.2
|
1
|
0.21
|
0.02
|
0.17
|
9.74
|
Total
|
2.51
|
5.29
|
8.31
|
14.03
|
17.97
|
21.5
|
30
|
43
|
11.84
|
1.00
|
-
|
71.71
|
A = Comparison pairwise matrix (from HD to RF) |
Table 4
Normalized Pair-wise Matrix
|
HD
|
LULC
|
ELV
|
TEM
|
SL
|
ASP
|
WS
|
RF
|
Total.Wgt
|
Nor.Wgt
|
HD
|
0.40
|
0.57
|
0.36
|
0.36
|
0.28
|
0.28
|
0.23
|
0.16
|
2.64
|
0.33
|
LULC
|
0.13
|
0.19
|
0.36
|
0.29
|
0.28
|
0.23
|
0.20
|
0.16
|
1.84
|
0.23
|
ELV
|
0.13
|
0.06
|
0.12
|
0.21
|
0.17
|
0.19
|
0.17
|
0.12
|
1.17
|
0.15
|
TEMP
|
0.08
|
0.05
|
0.04
|
0.07
|
0.17
|
0.14
|
0.17
|
0.14
|
0.86
|
0.11
|
SL
|
0.08
|
0.04
|
0.04
|
0.02
|
0.06
|
0.09
|
0.10
|
0.16
|
0.59
|
0.07
|
ASP
|
0.07
|
0.04
|
0.03
|
0.02
|
0.03
|
0.05
|
0.10
|
0.12
|
0.46
|
0.06
|
WS
|
0.06
|
0.03
|
0.02
|
0.01
|
0.02
|
0.02
|
0.03
|
0.12
|
0.33
|
0.04
|
RF
|
0.06
|
0.03
|
0.02
|
0.01
|
0.01
|
0.01
|
0.01
|
0.02
|
0.17
|
0.02
|
Table 5
Random Inconsistency (RI) Values
n
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
RI
|
0
|
0.52
|
0.9
|
1.12
|
1.24
|
1.32
|
1.41
|
1.45
|
3.3. Assessment of TOPSIS model in forest fire mapping: TOPSIS is a multi-criteria decision-making model which determines the dissimilarity from the ideal solution, introduced by Hwang and Yoon in 1981. The principle of this method is to figure out the best option which has shortest distance from ideal solution and longest distance from worst solution. The indicators value lies between 0 and 1 in which nearest to 1 signifies higher weightage i.e. most susceptible for forest fire in our case and vice versa (Tali et al. 2016). The calculation of TOPSIS was done in the following manner:
1. To Find the vector data normalization (\({\overline{X}}_{ij}\)) we use Eq. no……7 and the outcomes are represented in Table 6.
$${\overline{X}}_{ij}=\frac{{X}_{ij}}{\sqrt{{\sum }_{i=1}^{n}{X}_{ij}^{2}}}$$
7
2. To calculate the weightage Normalized matrix\(({V}_{ij}\)), the results of normalized matrix (\({\overline{X}}_{ij}\)) are multiplied by the weightage. (Table 7)
$${V}_{ij}={\stackrel{-}{X}}_{ij}\times {W}_{j}$$
8
3. Based on Geographical knowledge and referencing literatures the ideal best (\({V}_{j}^{+}\)) and ideal worst (\({V}_{j}^{-}\)) values are determined.
4. Euclidean distance \({S}_{i}^{+}\) between each criterion and ideal best (\({V}_{j}^{+}\)) is being calculated by applying Eq. no. 9.
$${S}_{i}^{+}={\left[{\sum }_{j=1}^{m}{\left({V}_{ij}-{V}_{j}^{+}\right)}^{2}\right]}^{0.5}$$
9
5. Euclidean distance \({S}_{i}^{-}\) between each criterion and ideal worst (\({V}_{j}^{-})\) as
$${S}_{i}^{-}={\left[{\sum }_{j=1}^{m}{\left({V}_{ij}-{V}_{j}^{-}\right)}^{2}\right]}^{0.5}$$
10
6. And finally, Performance Score \({P}_{i}\) is calculated and after that the score in plotted using IDW technique that are classified into 5 categories by applying Eq. no. 8 and the Performance score are shown in Table 8.
$${P}_{i}=\frac{{S}_{i}^{-}}{{S}_{i}^{+}+{S}_{i}^{-}}$$
11
Table 6
Calculation of Normalized Matrix
#
|
Latitude
|
Longitude
|
LULC
|
Humidity
|
Elevation
|
Temperature
|
Slope
|
Aspect
|
Wind Velocity
|
Rainfall
|
S1
|
88.13
|
27.34
|
0.0003
|
0.0038
|
0.1398
|
0.0008
|
0.0009
|
0.0000
|
0.0001
|
0.0009
|
S2
|
88.14
|
27.23
|
0.0003
|
0.0039
|
0.1398
|
0.0008
|
0.0005
|
0.0000
|
0.0000
|
0.0009
|
S3
|
88.29
|
27.35
|
0.0004
|
0.0048
|
0.1398
|
0.0009
|
0.0009
|
0.0001
|
0.0001
|
0.0010
|
S4
|
88.20
|
27.57
|
0.0003
|
0.0017
|
0.1400
|
0.0004
|
0.0006
|
0.0000
|
0.0000
|
0.0004
|
S5
|
88.29
|
27.19
|
0.0004
|
0.0117
|
0.1389
|
0.0022
|
0.0018
|
0.0001
|
0.0002
|
0.0022
|
…..
|
|
|
|
|
|
|
|
|
|
|
S496
|
88.28
|
27.34
|
0.0002
|
0.0051
|
0.1398
|
0.0010
|
0.0006
|
0.0001
|
0.0001
|
0.0010
|
S497
|
88.31
|
27.40
|
0.0002
|
0.0045
|
0.1397
|
0.0010
|
0.0009
|
0.0001
|
0.0001
|
0.0012
|
S498
|
88.33
|
27.39
|
0.0005
|
0.0059
|
0.1395
|
0.0013
|
0.0028
|
0.0002
|
0.0002
|
0.0014
|
S499
|
88.12
|
27.42
|
0.0003
|
0.0018
|
0.1399
|
0.0004
|
0.0006
|
0.0001
|
0.0001
|
0.0005
|
S500
|
88.11
|
27.53
|
0.0003
|
0.0018
|
0.1400
|
0.0004
|
0.0002
|
0.0001
|
0.0000
|
0.0005
|
Table 7: Calculation of Weighted Normalized Matrix
#
|
Latitude
|
Longitude
|
LULC
|
Humidity
|
Elevation
|
Temperature
|
Slope
|
Aspect
|
Wind Velocity
|
Rainfall
|
S1
|
88.13
|
27.34
|
0.0009
|
0.0166
|
0.9987
|
0.0075
|
0.0125
|
0.0005
|
0.0020
|
0.0466
|
S2
|
88.14
|
27.23
|
0.0009
|
0.0171
|
0.9988
|
0.0077
|
0.0067
|
0.0004
|
0.0009
|
0.0448
|
S3
|
88.29
|
27.35
|
0.0011
|
0.0207
|
0.9985
|
0.0086
|
0.0129
|
0.0011
|
0.0026
|
0.0489
|
S4
|
88.20
|
27.57
|
0.0009
|
0.0073
|
0.9997
|
0.0034
|
0.0080
|
0.0004
|
0.0011
|
0.0219
|
S5
|
88.29
|
27.19
|
0.0012
|
0.0508
|
0.9921
|
0.0199
|
0.0262
|
0.0024
|
0.0042
|
0.1098
|
…..
|
|
|
|
|
|
|
|
|
|
|
S496
|
88.28
|
27.34
|
0.0006
|
0.0220
|
0.9984
|
0.0090
|
0.0084
|
0.0011
|
0.0027
|
0.0506
|
S497
|
88.31
|
27.40
|
0.0006
|
0.0194
|
0.9979
|
0.0090
|
0.0126
|
0.0023
|
0.0032
|
0.0591
|
S498
|
88.33
|
27.39
|
0.0015
|
0.0257
|
0.9963
|
0.0114
|
0.0394
|
0.0029
|
0.0038
|
0.0712
|
S499
|
88.12
|
27.42
|
0.0010
|
0.0078
|
0.9996
|
0.0038
|
0.0085
|
0.0010
|
0.0013
|
0.0255
|
S500
|
88.11
|
27.53
|
0.0009
|
0.0079
|
0.9997
|
0.0037
|
0.0027
|
0.0009
|
0.0012
|
0.0238
|
Table 8
Calculation for Euclidean distance S_i^+and Performance Score (P_i)
#
|
Latitude
|
Longitude
|
\({S}_{i}^{+}\)
|
\({S}_{i}^{-}\)
|
PERFORMANCE SCORE \({(P}_{i}\))
|
S1
|
88.13
|
27.34
|
0.19
|
0.44
|
0.69
|
S2
|
88.14
|
27.23
|
0.20
|
0.43
|
0.67
|
S3
|
88.29
|
27.35
|
0.15
|
0.47
|
0.75
|
S4
|
88.20
|
27.57
|
0.48
|
0.14
|
0.23
|
S5
|
88.29
|
27.19
|
0.05
|
0.59
|
0.91
|
….
|
|
|
|
|
|
S496
|
88.28
|
27.34
|
0.14
|
0.48
|
0.76
|
S497
|
88.31
|
27.40
|
0.14
|
0.49
|
0.77
|
S498
|
88.33
|
27.39
|
0.10
|
0.53
|
0.83
|
S499
|
88.12
|
27.42
|
0.42
|
0.21
|
0.33
|
S500
|
88.11
|
27.53
|
0.44
|
0.19
|
0.30
|