Introduction

One of the most devastating natural events is flooding, comprising around one third of all environmental threats (Smith and Ward 1998; Adhikari et al. 2010). Over the last few decades, across the world, floods have drawn sincere attention from researchers because of their catastrophic character and ability to inflict significant economic casualties and life losses (Kron et al. 2012; Nied et al. 2017). Trends of the flood have increased globally over the past three decades, mainly due to the increasing impacts of climate change, alteration of land use, and other human activities (Kourgialas and Karatzas 2011). About 90% of flood-induced natural disasters and 95% of the resulting losses due to floods are experienced by developing countries, particularly those located on the Asian continent (Gupta et al. 2003).

Since floods are not entirely avoided, it is possible to mitigate their detrimental effects (Khosravi et al. 2019). Thus, potential flood assessment and management is a more practical choice that lays out the evolution of the 'flood risk management approach,' consisting of two fundamental foundations such as flood risk mitigation and flood hazard assessment (Kourgialas and Karatzas 2011; Kazakis et al. 2015). It is impossible to eradicate the absolute risk of flood, but with the utilization of geospatial models, the places under the high threat of flood susceptibility can be identified for planning purposes (El-Haddad et al. 2020). A significant number of studies identify the “flood susceptibility map” as an effective preventive tool (Das 2019; Mishra and Sinha 2020). Furthermore, flood vulnerability maps are deemed exceptionally useful for management, preparation, and observation of high-risk areas (Hoque et al. 2019). Numerous environmental variables, such as topography, land use, geology, temperature, and hydrological criteria, need to be considered for preparing flood susceptibility maps, which could influence the outbreak of a flood. This strategy is also known as a multi-criteria decision-making approach (MCDA) that is noteworthy in assessing complicated decision-making systems comprising a broad number of criteria (Khosravi et al. 2019). In recent years, several researchers have widely used various statistical and machine learning methods with remote sensing and GIS to delineate flood susceptible map, such as decision trees models (DT) (Tehrany et al. 2013), frequency ratio (Tehrany et al. 2015a), support vector machine (SVM) (Tehrany et al. 2015b), kernel logistic regression (Hong et al. 2015), bivariate and multivariate statistical models (Youssef et al. 2016), neural fuzzy inference model (Bui et al. 2016), analytical hierarchy process (Das 2019; Mishra and Sinha 2020), analytic network process (Dano et al. 2019), GARP and QUEST machine learning techniques (Darabi et al. 2019), random naive Bayes (Tang et al. 2020), Swarm Optimized Multilayer Neural Network (Ngo et al. 2018), extreme gradient boosting (EGB) (Mirzaei et al. 2020), Machine learning techniques (El-Haddad et al. 2020) and others.

According to numerous literature reviews, there were no universal criteria that specify which model should be used in which situation, as the accuracy of the model depends on various criteria like data availability, precision, and structure of the model (Khosravi et al. 2018). Furthermore, analysis has shown that each model has its own set of benefits and drawbacks. However, de Brito and Evers (2016) reviewed almost 128 papers regarding the MCDM model and found that AHP is the most widespread MCDM method for flood susceptibility modeling. Hence, in this present study, AHP-based MCDM technique was applied to assess the flood risk of the Himalayan foothill region.

In India, the summer monsoon’s unpredictable activity is responsible for the vast number of catastrophic flood events (Dhar and Nandargi 2003). Such floods have caused significant loss to crops, properties, economy and can inflict casualties of life (Vishnu et al. 2019). Moreover, Indian floods are a perpetual natural disaster in monsoon-dominated areas, where much of the annual rainfall happens from June to September. Hence, this Monsoon often considers a concern season for around 32 million citizens in the nation who are subjected to face the annual flood inundation phenomena (Kale 2004).

The question of river flooding is of great concern in the region of the Himalayan foothills due to its historical relevance; the study region has a special orographic as well as physiographic environment governed by the Himalayas range and also being the lowermost riparian part of the sub-Himalayas where most of the rivers are from a common source (Ghosh and Kar 2018; Chakraborty and Mukhopadhyay 2019). These numerous small to large networks of streams descending from this giant landmass of Himalayas meet at the foothills region to form mighty rivers like Teesta, Mahananda, Torsha, Jaldhaka, Raidak, and Sankosh (Roy 2011; Chakraborty and Datta 2013). All these mighty rivers carried an enormous load in the form of sand, silt, boulder, and gravels, which ultimately gets deposited as a finer particle in the foothill region due to less slopes (in part of Darjeeling, Jalpaiguri, Alipurduar, and Coochbehar district) which form a broad, extensive and monotonous floodplains (Starkel et al. 2008). These flat and extensive floodplain regions are susceptible to inundation regularly; even in a single monsoon season, these areas were prone to flooding many times, hampering the livelihoods of the floodplain dwellers. This background makes it essential for the Jalpaiguri foothill region to recognize and assess the risk of flood by considering flood control elements, i.e., flood susceptibility and vulnerability, as fundamental factors.

Large-scale flooding often occurs in the Himalayan foothill area of Jalpaiguri, resulting in significant socio-economic loss and causing havoc on resources. Although the Himalayan foothills have a high probability and threat of flooding, hitherto no accurate mapping and assessment of flood susceptibility, vulnerability, or risk have been done so far. Therefore the significant contributions of this study are (a) to prepare the flood susceptibility, vulnerability, and risk map for data lacking flood-prone Jalpaiguri foothill region, (b) Micro-level (administrative block-wise) assessment of areas under the high threat of flooding for a better mitigation plan. The results of this study are expected to contribute significantly to the literature on flood risk assessment. Also, the outcomes could be beneficial for the decision-makers and bureaucrats for future flood management practices in flood-prone areas over the world.

Study area

Jalpaiguri district is one of the major regions of Himalayan foothills located at the southern flank of Sub-Himalayas and occupies about 3386.18 km2. Geographically, it is extended between 26° 15' 47" N to 26° 59' 34" N and 88° 23' 2" E to 88° 7' 30" E longitude (Fig. 1). Darjeeling and Bhutan bound the district in the north, Alipurduar district in the east, Coochbehar and Bangladesh in the south, and Darjeeling and Bangladesh in the west. The total population of the study area is about 2381596, which is distributed over 7 Community Development blocks, namely, Jalpaiguri Sadar, Maynaguri, Rajganj, Dhupguri, Mal, Nagrakata and Matiali (District Census Handbook, Jalpaiguri 2011, www.jalpaiguri.gov.in/district-profile).

Fig. 1
figure 1

(a) Location map of the Jalpaiguri foothill region (study area with administrative boundaries) reference to West Bengal state and India. The map also represents maximum-minimum altitude, major rivers and flood inventory points (star symbol). (b) Trend of total annual rainfall variability (1991–2020) (Source: indiawris.gov.in). (c) Ombrothermic diagram of the study area (mean monthly temperature and rainfall 1991–2019)

The study area is a vast flat rolling plain in the south with slightly undulating terrain in the north covered with tea gardens and scattered forests. According to the study area’s prepared DEM (Fig. 1), the altitude varies from 11 to 569m, and the entire topography is crisscrossed with numerous rivers and streams. Jalpaiguri district is veined by numerous mighty rivers, namely Teesta, Jaldhaka, Mahananda, Daina and others. Climatically, the region experiences a southwest monsoon with high humidity and heavy rainfall. The hot season mainly prevails from March to May, followed by the onset of monsoon from June and continues till October. Further, November to February are the coldest and driest month (District Census Handbook, Jalpaiguri 2011). Besides, the study area’s economy is mainly dependent on agriculture and forestry as the majority of the people are engaged in plantation activities, commercial cultivation, and trade and commerce activity (Ghosh and Ghosal 2020).

History and reason of catastrophic floods in the Jalpaiguri district of Himalayan foothills

The study area is highly susceptible to flood due to its varying climatic nature and high annual rainfall and thus selected for the present study (Roy 2011; Shrestha et al. 2012, 2015; Mandal and Sarkar 2016). The flood impacts in the district are a yearly and common phenomenon, but its intensity might vary. This intensity of flood magnitude may vary in terms of areas inundated, the number of population affected, livelihood and infrastructure damages (Das et al. 2017). All the administrative blocks of Jalpaiguri district are more or less affected by the flood every year. There are three main reasons considered for the flood in the sub-Himalayan Jalpaiguri region, i.e., (i) high-intensity rainfall for short durations on small catchments, (ii) incessant rainfall for several days on bigger catchment and, (iii) as the district situated in the Himalayan foothills thus includes a copious network of rivers and streams which triggers the floods (District Census Handbook 2011; Chakraborty and Datta 2013). However, not all the flood events were disastrous and widespread; instead, some are purely local, but some are genuinely catastrophic (Chakraborty 2017). Therefore, the occurrences, triggering mechanism, and consequence of some significant catastrophic historical flood of 233 years for Jalpaiguri district are summarized in Table 1.

Table 1 Synopsis of some major historical floods occurred in Himalayan foothill region of Jalpaiguri district, India

Data and methodology

Data source and preparation technique of thematic layers

The data source and methodological flow chart for the present study have been summarized and given in Table 2 and Fig. 2, respectively. In order to assess the flood risk of the sub-Himalayan Jalpaiguri district, a total of seventeen thematic layers were selected after extensive literature review and expert opinions. Among these layers, ten parameters are related to flood conditioning or susceptibility factors viz. elevation, slope, drainage density, distance to rivers, geomorphology, rainfall, flow accumulation, topographic wetness index (TWI), geology, and soil. Subsequently, the remaining seven layers are related to flood vulnerability factors, i.e., population density, household density, Landuse, distance to major roads, distance to flood shelter, distance to hospital, and literacy rate. All the layers have been generated in the GIS environment based on in-depth investigation and field observation.

Table 2 Thematic layers used for Flood risk assessment, their sources and details
Fig. 2
figure 2

Methodological flowchart applied for the present study

ASTER Global Digital Elevation Model (GDEM) was acquired from NASA with a 30-m resolution to prepare elevation, slope, drainage density, flow accumulation, and TWI. First, DEM was pre-processed in the GIS environment using sink-filling, flow accumulation, and flow direction techniques by adopting the hydrology tool. After that, the line density tool was used to prepare the drainage density map. For TWI preparation, the techniques like upslope contributing area (a), slope raster, and a raster calculator in ArcGIS. Subsequently, data were collected from the Bhukosh server of the Geological Survey of India (GSI) for the preparation of geomorphology and distance to rivers. These data are available in vector format, which is processed GIS environment and converted into a raster layer. To represent the geological variation, USGS world geological map, which is available in a shapefile, was clipped for the study area. Subsequently, Rainfall data were obtained from a high resolution of 0.5° × 0.5° CRU (Climatic Research Unit) web satellite and extracted for the study area for the year 2011–2019. For the preparation of the final rainfall map, the Kriging interpolation technique was adopted. According to many reports, the Kriging interpolation method seems more precise and effective than any other technique for delineating rainfall maps (Kim et al. 2011; Ly et al. 2013). Further, FAO-Digital Soil Map of the World (DSMW) was used to prepare the study area's soil map. All these layers are prepared to fulfill the susceptibility indicators of Jalpaiguri sub-Himalayan region.

Furthermore, to assess the vulnerability indicators, a set of demographic data were used viz., Population density, household density, and literacy rate, extracted from the District Census Handbook (DCHB) of Jalpaiguri district, Census of India, 2011. All these data are incorporated in the attribute tables of the GIS environment to prepare the final thematic layers. Landsat 8 OLI (30-m resolution) imagery was collected from Earth Explorer, US Geological Survey website for the Landcover map preparation. At first, two Landsat images (Row 41, 42 and Path 139) were mosaic, which was later pre-processed using atmospheric correction, edge enhancement, and band composition. Finally, supervised classification with a maximum likelihood algorithm was performed to generate the final LULC map with respective classes. Distance from the flood shelter map was prepared using multi-buffer points and the coordinates of these flood relief shelters are available in the District Disaster Management Plan of Jalpaiguri district (2016–2020). Similarly, for distance to hospital, Google maps were used to mark the coordinates and later prepared using multi-buffer points in the GIS suite. Lastly, an openstreet server was used to prepare the thematic layer of distance to major roads.

Hence, it is clear that several multi-source data are required to achieve the final outcome in this study, summarized in Table 2. After preparing all the thematic layers, it is rasterized and converted into UTM Projection, Zone 45N, WGS-84 Datum with the same cell size of 30-m spatial resolution. Subsequently, reclassification was done and the weight assigned to each parameter based on the analytical hierarchy process (AHP) technique.

Multi-criteria decision-based AHP model for weight assignment and normalization

According to (Sener et al. 2011), AHP is a comprehensive technique that incorporates practical knowledge and subjective ideas to determine the decision-making by assessing multiple variables based on expert opinions using the GIS environment. AHP is introduced by (Saaty 1980, 1990), is an effective decision-making approach based on a set of indicators to create a hierarchical structure by assigning weights to each criterion to reduce the complication in decision-making. Saaty’s AHP offers a method for resolving a variety of decision-making problems based on the relative importance of each criterion for achieving a specific goal (Handfield et al. 2002). According to Pourghasemi et al. (2012), it is a powerful instrument in the discipline of hazard management as it considers multiple parameters for the assessment and later converted each into scores for efficient judgment.

In the present study, the AHP model is used to assign the weights of both susceptibility and vulnerability indicators. However, there are several weight estimation techniques, but among all these, AHP is considered as a promising technique in flood risk assessment that can produce rapid, most reliable and cost-effective performance (Ghosh and Kar 2018; Souissi et al. 2019; Hammami et al. 2019; Dano et al. 2019; Saha and Agrawal 2020; Das 2020). The assigning of weights to each parameter and their normalization is a critical consideration to produce reliable outcomes since the final result relies entirely on the assignment of suitable weights (Muralitharan and Palanivel 2015). In order to compare all parameters of the thematic layer against each other in a matrix format which is useful in the deriving calculation, the weights of each criterion were allocated based on Saaty’s scale (1–9) of relative importance (Table 3). The Saaty scale of importance indicates “9” with “extreme importance” and “1” with “equal importance” (Table 3). The AHP model consists of four stages, viz. (i) weight assignment, (ii) pairwise comparison matrix, (iii) weight normalization, and (iv) consistency check (Benjmel et al. 2020; Ghosh et al. 2020). All the seventeen parameter’s weight is assigned based on several expert opinions, field knowledge, and numerous literature reviews (Ghosh and Kar 2018; Souissi et al. 2019; Das 2019; Chakraborty and Mukhopadhyay 2019; Khosravi et al. 2019; Saha and Agrawal 2020).

Table 3 Relative importance scale (1–9) and Random consistency index (RCI) based on Saaty (1980, 1990)

The following steps are adopted to compute Pairwise comparison matrix and to check the consistency (Arefin 2020).

  • Step 1: Pairwise comparison matrix (PCM) calculated using Eq. 1

$$ X=\left[\begin{array}{cccc}{X}_{11}& {X}_{12}& \dots & {X}_{1n}\\ {}{X}_{21}& {X}_{22}& \dots & {X}_{2n}\\ {}\dots & \dots & \dots & \dots \\ {}{X}_{n1}& {X}_{n2}& \dots & {X}_{nn}\end{array}\right] $$
(1)

where X is the Pairwise comparison matrix, Xnn is the indicator of Pairwise matrix element.

  • Step 2: Normalization of the weights using Eq. 2

$$ NW=\left(\frac{GM}{\sum_{n-1}^{N_f}{GM}_n}\right) $$
(2)

where NW is normalized weights, GMn is consider as Geometric mean of nth row of Pairwise matrix (X).

Furthermore, GMn can be expressed as Eq. 3

$$ GMn=\sqrt[n]{X_{1n}{X}_{2n\dots {X}_{nNf}}} $$
(3)
  • Step 3: The Consistency ratio (CR) is used to validate the AHP judgment coherence using Eq. 4 (Saaty 1980)

$$ CR=\frac{CI}{RI} $$
(4)

where CR is calculated dividing CI (Consistency index) by RCI (Random consistency index) of Saaty (Table 3).

Saaty (1980) presented random index (RI) values used to measure the consistency of the Pairwise comparison matrix. According to the ten selected parameters in this study for the flood susceptibility model, the random index is 1.49. Consequently, for the vulnerability model, seven parameters were selected, with the RI value of 1.32. Based on Saaty (1990), the CR value of less than 0.10 is acceptable to continue the analysis. However, in our study, the CR value is less than 0.10 for both susceptibility and vulnerability indicators (Tables 4 and 6), and hence, it is adequate to continue the analysis. Otherwise, if the CR value is more than 0.10, it is necessary to modify the analysis from the beginning to determine the source of inconsistency in the matrix (Saaty 1977).

  • Step 4: To calculate CI, the Eq. 5 was adopted

Table 4 Pairwise comparison matrix for flood susceptibility parameters and their normalized weights based on Saaty’s AHP
$$ CI=\frac{\left(\lambda max-n\right)}{\left(n-1\right)} $$
(5)

where λmax is the principle Eigen value, and n indicates the total number of parameters selected for study.

Delineation of Flood susceptibility and vulnerability map

After priority-based normalization, the relative weights of each parameter were used to measure the flood susceptibility index (FSI) and flood vulnerability index (FVI) in the ArcGIS setting, which was calculated by multiplying the sum of weights by the rate of each factor. The following equations are used to model the FSI and FVI (Das 2018, 2020; Kittipongvises et al. 2020; Malik et al. 2020).

$$ FSI={\sum}_{i=1}^n\ {W}_i^F\times {R}_i^F $$
(6)
$$ FVI={\sum}_{i=1}^n\ {W}_i^V\times {R}_i^V $$
(7)

where FSI and FVI are flood susceptibility index and flood vulnerability index, n is the numbers of factors, Wi is the weights of each susceptibility parameter, and Ri is the rank of each parameters.

Preparation of flood risk map

Flood risk assessment is a crucial task to mitigate and manage floods, especially in flood plain areas, including geo-environmental hazards and socio-economic factors. According to Merlotto et al. (2016), the number of lives lost, people injured, property damaged, and the overall adverse effects on economic growth due to natural disasters is referred to as the cumulative risk assessment. It is a product of the possibility of a site experiencing regular flood events and the degree of instability of the system. Therefore risk can be measured as a cross-cutting mix of hazard and vulnerability.

Thus, flood risk mapping of the entire sub-Himalayan Jalpaiguri district has been calculated by multiplying the final susceptibility index and vulnerability index using the following equation in the raster calculator (Danumah et al. 2016; Ghosh and Kar 2018; Chakraborty and Mukhopadhyay 2019; Das 2020).

$$ Flood\ risk\ index= FSI\kern0.5em \times \kern0.5em FVI $$
(8)

Flood inventory

A flood inventory map displays detailed positions of areas inundated based on historical flooding records and can also predict future flood events of specific locations (Rahmati et al. 2016; Souissi et al. 2019). Therefore, it is the most vital part and an essential requirement for any susceptibility and vulnerability mapping. A flood inventory map can be prepared using several methods that depend on various conditions like the motive of the study, data availability, records of historical flood incidents, interpretation of satellite images, and access to geo-environmental conditions (Arabameri et al. 2019; Chen et al. 2019; Khosravi et al. 2019).

Thus for the present study of the Jalpaiguri district, about 68 locations were identified for flood inventory mapping. These points are selected and identified after extensive field exploration using Google maps GPS and historical flood record from (1995 to 2018) available from the Irrigation and Waterways Department, Government of West Bengal (www.wbiwd.gov.in/). Also, several newspapers, unpublished work and the Bhuvan portal of ISRO (https://bhuvan-app1.nrsc.gov.in/nfvas/#) are used to cross-validate the flood inventory points.

Flood conditioning factors

According to several experts opinions and literature review (Sharma et al. 2017; Danumah et al. 2016; Hu et al. 2017; Hazarika et al. 2018; Ghosh and Kar 2018; Chakraborty and Mukhopadhyay 2019; Das 2019; El-Haddad et al. 2020), a total of about ten thematic layers were selected (Table 5 and Fig. 2). Therefore, these selected indicators can be considered as a flood-determining factor for the Jalpaiguri foothill region.

Table 5 Sub-criteria of selected susceptibility parameters with their assigned and normalized ranks

Elevation

Water flows smoothly from upland to lowland regions because of the gravity influence, while the water across the lower elevated plains remains stagnant for a more extended period which induces floods (Tehrany et al. 2014; Das 2019). In the study area, the elevation can be categorized into five classes, i.e., flat (11–92), gentle (92–136), moderate (136–198), steep (198–293), very steep (293–569) (Fig. 3a) (Table 6).

Fig. 3
figure 3figure 3

Flood conditioning indicators (a) elevation, (b) slope, (c) distance from rivers, (d) drainage density, (e) geomorphology, (f) rainfall, (g) flow accumulation, (h) topographic wetness index, (i) geology, and (j) soil

Table 6 Pairwise comparison matrix for flood vulnerability parameters and their normalized weights based on Saaty’s AHP

Slope

The topographic slope usually limits water velocity and act as a flood controlling factors. Besides, the topographic gradient has considerable influence over the infiltration rate (Das 2019). Therefore, a huge volume of water becomes sluggish near the sites of low lying flat topography and thus, low geographic slope usually displays greater susceptibility to flood (Bui et al. 2019). In the study area, the slope is categorized into five zones, i.e., flat (0°–3°), gentle (3°–6°), sloping (6°–10°), steep (10°–16°), very steep (>15°) (Fig. 3b).

Distance from rivers

Distance from rivers is another significant factor that plays a vital role in determining flood conditions. According to several researchers (Rahmati et al. 2016; Ghosh and Kar 2018; Bui et al .2019) flooding is expected in the areas near the river due to heavy runoff in the drainage system, mainly after intense rainfall, which consequences in exceeding the limit of stream capacity. However, there is no common opinion regarding the distance that may provide a higher susceptibility, as small waterways can be flooded up to several meters while large rivers can cross several kilometers since the distance varies from river to river. Pradhan (2009) observed that areas proximate to 90 m from rivers are more susceptible, while Samanta et al. (2016) consider less than 100m distances are more vulnerable to flood. Therefore, for the present study, five consecutive classes range from less than 250m to above 1500m were prepared (Fig. 3c).

Drainage density

Horton (1945) described drainage density as the ratio of the total length of channel segments for all stream order in a basin area, and this parameter is considered one of the significant attributes of landscapes that have formed under the fluvial effect. The greater the drainage intensity indicates a greater length of drainage lines per region of the unit. Therefore, owing to higher drainage density, areas with a dense stream network typically show regular flooding (Ogden et al. 2011; Mirzaei et al. 2020). Figure 3d shows that the Jalpaiguri foothill region shows an intense network of drainage density, and it can be classified into five classes.

Geomorphology

The geomorphic composition of any area has a significant role in flood conditioning; thus, the sub-Himalayan Jalpaiguri's geomorphology is very important to understand for demarcating flood susceptibility. According to Das (2019), low-lying flood plain regions are more susceptible to flood compared to undulating hilly terrain. However, according to the prepared geomorphology map of the study area (Fig. 3e), it is clear that the Jalpaiguri district is highly susceptible to flood risk as it mainly comprises a flood plain, alluvial plain, and water bodies.

Rainfall

The intensity and duration of rainfall directly determine the flood occurrences, as maximum rainfall increases flood hazard risk (Rozalis et al. 2010; Zhao et al. 2018; Mirzaei et al. 2020). The rainfall pattern of the Jalpaiguri foothill area is influenced by the southwest monsoon, and it receives high annual rainfall with regular heavy rains, mainly between June and September (monsoon period). The southern front of the Himalayan ranges acts as a first orographic barrier for S-W monsoon winds, which arrive from the Bay of Bengal to the Himalaya, resulting in a high rainfall during the monsoon season (Prokop and Walanus 2017). Therefore, rainfall plays a vital role that triggers flood incidence in the study area, and according to the prepared rainfall map (Fig. 3f), the eastern part of the region experiences slightly more rainfall than the western part.

Flow accumulation

For the assessment of flood and other hydrological factors, flow accumulation is one of the most vital parameters (Kazakis et al. 2015; Das 2020). It can be considered as total flow to a particular point within the catchment from upstream areas and thus, higher flow accumulation indicates a high possibility of flooding. According to the prepared map of the Jalpaiguri foothill (Fig. 3g), the flow accumulation above 821951 can be considered as high susceptible zone, which is concentrated mainly near the river banks.

Topographic wetness index

The topographic wetness index (TWI), also known as Compound Topographic Index (CTI), refers to the spatial distribution of wetness and regulates overland water flow (Samanta et al. 2018; Ali et al. 2019). According to Das (2020), TWI is a significant parameter that conveys essential knowledge regarding hydro-geomorphological regulation of the landscape. Many researchers often use TWI for flood susceptibility mapping because it determines the area of flood inundation, and the higher the TWI indicates a higher risk of the flood (Bui et al. 2018). TWI for the present study (Fig. 3h) can be prepared using the following equation given by Moore et al. (1991).

$$ \mathrm{TWI}=\mathit{\ln}\left(\frac{As}{\mathit{\tan}\mathrm{\ss }}\right) $$
(9)

where As is the flow accumulation and tanß is the surface slope gradient.

Geology

There is a close link between local geology and flood events because it influences permeability, porosity, and infiltration rates since impermeable rock ameliorate surface runoff, which triggers flooding (Kazakis et al. 2015; Das 2019). Moreover, previous studies find flood susceptibility can be understood by assessing geology as it determines the nature of runoff, influences drainage network, and controls the hydrology (Reneau 2000; Malik et al. 2020; El-Magd et al. 2021). According to the prepared geological map of Jalpaiguri (Fig. 3i), it can be divided into (i) Quaternary sediments, (ii) Neogene sedimentary origin, (iii) undivided Paleozoic origin, and (iv) Precambrian rocks.

Soil

The soil type of a particular area largely determines the absorption capacity and intensity of runoff which eventually controls flood levels (Souissi et al. 2019; Malik et al. 2020). For example, fine-particle soil, such as silt and clay, has an inadequate transmission capacity and permeability, resulting in high runoff that eventually triggers flood susceptibility (Arya and Singh 2021). In contrast, sandy soil with large pore space increases infiltration and reduces surface runoff (Ibrahim-Bathis and Ahmed 2016; Das 2019, 2020). However, according to Fig. 3j, there are six major types of soil found in the study area.

Flood vulnerability factors

Merlotto et al. (2016) define vulnerability assessment as the extent and severity of damage to a specific component due to natural phenomena. In specific, the evaluation of vulnerability contains an integrated system of risk factors that can cause catastrophic to human beings, loss of property, disruption of the social system, setback of wealth and resources (Balica et al. 2012; Ghosh 2016). Thus, flood vulnerability indicates the amount and extent of harm under specific socio-economic conditions and resilience capacity for a particular area in the present context. However, the present study’s vulnerability parameters were chosen after an extensive literature review (Hu et al. 2017; Danumah et al. 2016; Ghosh and Kar 2018; Chakraborty and Mukhopadhyay 2019; Das 2020). The flood vulnerability factor includes the spatial pattern of population density, household density, and land-use types that collectively influence flood susceptibility; furthermore, it includes infrastructure features and educational capacity like flood shelter zones, distance to major roads, distance to hospital, and literacy that in combine act as resilience capacity to cope with flood risk (Table 7).

Table 7 Sub-criteria of selected vulnerability parameters with their assigned and normalized ranks

Population density

Some natural phenomenon generally triggers natural hazards, and these threats transform into a tragedy when individuals, cultures, and facilities are adversely impacted. As a result, human beings are at the center of disaster and vulnerability. According to many researchers, regions having higher population density have a greater risk of casualties and collateral loss (Kandilioti and Makropoulos 2012; Ngo et al. 2018; Das 2020). Flood risk vulnerability is expected to be higher in areas with poor living conditions, such as overcrowding, malnourishment, and limited access to health care services. However, the population density of the Jalpaiguri district is categorized into four classes (Fig. 4a).

Fig. 4
figure 4figure 4

Flood vulnerability factors (a) population density, (b) household density, (c) landuse, (d) distance to major roads, (e) distance to flood rescue shelter, (f) distance to hospital, (g) literacy rate

Household density

In addition to population density, household density is another factor that directly affects flood vulnerability in low-lying areas due to the potential increase in the exposure of buildings (Tapsell et al. 2002; Cardona 2005). Household density is closely associated with flood risk because it has the potential to influence the severity of flood vulnerability (Ghosh and Kar 2018). In this study, the household density of the Jalpaiguri district can be categorized into four classes (Fig. 4b), and the higher the household density, the higher the chance of casualty and property damage.

Landuse

The land use pattern of a region demonstrates the utilization of topography by living humans and the natural factors (Ajin et al. 2013; Kaur et al. 2017). Various hydrological processes, such as surface runoff, infiltration rate, and evapotranspiration in a region, are substantially controlled by the pattern of land use (Yalcin et al. 2011; Darabi et al. 2018). Anthropological practices, such as deforestation and urbanization, directly affect environmental disasters, and the areas with huge settlements are more vulnerable to flooding; hence, land use is a significant parameter in flood vulnerability mapping (Komolafe et al. 2018). However, the area of research can be divided into six land use practice groups (Fig. 4c), and the Kappa accuracy of the land use and land cover map is 91%.

Distance to roads

Highways inundated during significant rains, contributing to severe connectivity and accessibility difficulties (Das 2020). Besides, during flood incidence, the availability of major roads plays a vital role, especially with regard to the provision of relief work, because all rescue and assistance are only possible through major national and state highways (Ghosh and Kar 2018). Thus, in this study, distance to the road is considered as a vulnerability indicator where more the distance from the road indicates more risk to flood (Fig. 4d).

Distance to flood shelter

During flood incidents, residents are forced to evacuate their houses owing to the risk of casualty. As a result, displaced people are more fragile and vulnerable during the inundation because their protection, safety, health, and sanitation are compromised. Therefore, those away from the proximity to flood rescue zones are at more risk (Hazarika et al. 2018; Ghosh and Kar 2018). Hence in this study, distance to flood shelters are categorized into four classes (Fig. 4e), and as the distance from the flood shelters increases, vulnerability and risk to flood hazard also increase significantly.

Distance to hospital

Access to medical service is very much crucial after flood hazard. Effective hazard response needs an adequate number of hospital beds and medically trained as well as technical personnel once there are casualties (Chen et al. 2013). For this reason, in this study, the medical institutions, both governmental and privately owned are taken into consideration for flood vulnerability analysis. Here the distances from hospitals are represented as more the distance from medical service means more flood vulnerability (Fig. 4f)

Literacy

The literacy rate is proportional to the literate population of an area’s total population. Literacy rates are typically highly critical in recognizing environmental disasters, their severity, and their responses. Consequently, areas with a high literate population are less vulnerable to environmental hazards (Das 2020; Ghosh and Kar 2018). However, literacy rates in the sub-Himalayan Jalpaiguri can be classified into five groups (Fig. 4g).

RESULT AND DISCUSSION

Spatial distribution of flood susceptibility

In this present study, ten parameters are used to delineate the flood susceptibility map. However, many researchers used a variety of parameters to prepare a flood susceptibility map based on the availability and convenience of data. Few studies show that only four parameters are used to demarcate the susceptibility map (Elkhrachy 2015; Kazakis et al. 2015), while some used ten or more than ten geo-environmental indicators (Haghizadeh et al. 2017; Zhao et al. 2018; Ngo et al. 2018; Khosravi et al. 2019; Mirzaei et al. 2020). Furthermore, the accuracy of the susceptibility mapping does not just depend on the criteria selected rather than the quality of spatial datasets, accurate conventional information, field investigation, and expert-based opinion for ranking is the most crucial factor (Ghosh and Kar 2018; Das 2019).

The final outcome of the map can be classified into five classes very low (1.1 km2: 0.03%), low (280 km2: 8.27%), moderate (1806.5 km2: 53.36%), high (1281.4 km2: 37.85%), and very high (16.7 km2: 0.49%) (Fig. 5 and Table 8). A careful observation according to the map reveals that most of the “high” and “very high” flood-prone areas are situated in the inter-fluvial domain of the southern part along with the flood plain areas and river basins. Furthermore, it is apparent that highly susceptible flood-prone areas are located in areas with a combination of low altitude, less slope, higher drainage density, high TWI, proximity to the rivers, and other variables that induces flood.

Fig. 5
figure 5

Flood susceptibility map of the Jalpaiguri foothill region based on analytical hierarchy process (AHP). The inserted bar diagram representing area distribution (sq.km) and pie diagram indicating percentage of area under flood susceptibility zone

Table 8 Area and percentage distribution flood susceptibility, vulnerability and risk

Spatial distribution of flood vulnerability

The vulnerability index of the study area is prepared based on the seven parameters for the final map preparation, based on the derived normalized AHP weights using the GIS environment. The vulnerability map can be classified into four classes viz. low (97.22km2: 2.9%), moderate (1315.90 km2: 38.9%), high (1768.77 km2: 52.2%), and very high (203.71 km2: 6%).

Table 8 and Fig. 6 indicate that most of the Jalpaiguri district covers under “high” vulnerability zone. Furthermore, it reveals that areas with high population and household density, zone of high settlement concentration, and cultivated areas along the river banks have high to very high vulnerable zones, mainly covering the southern and eastern parts. Subsequently, areas near flood rescue shelters, hospitals, and major roads are less vulnerable due to better accessibility. Moreover, a low literacy rate in the entire Jalpaiguri region further ameliorates the vulnerability prospects.

Fig. 6
figure 6

Flood vulnerability map of the Jalpaiguri foothill region based on analytical hierarchy process (AHP). The inserted bar diagram representing area distribution (sq.km) and pie diagram indicating percentage of area under flood vulnerability zone

Flood risk and its distribution

The sub-Himalayan Jalpaiguri district is endowed with numerous rivers, which became highly erratic, consequences in extensive riverbank erosion, course shifting, and leaving thousands of homeless during the rainy seasons. The majority of the river originates from the same source of the Himalayas, results in frequent floods during periods of heavy rain, and concurrently, all the rivers converge to create a single massive sheet of water, which intensified the flood risk in the entire Jalpaiguri district. Due to heavy rainfall, almost all the study area’s administrative divisions are affected more or less by the risk of inundation every year. As the entire sub-Himalayan Jalpaiguri is almost flat and covered by alluvial and flood plain except for the northern section, it intensified the risk of stagnation of floodwater for a prolonged period. Subsequently, high population density and continuous expansion of settlements along the river banks resulted in a more vulnerable situation. Furthermore, a few rescue zone, insufficient resilience capacity, and inadequate awareness among people make the situation worse. However, the prepared flood risk map (Fig. 7) indicates that about 28.2% or 955.5km2 of sub-Himalayan Jalpaiguri falls under high to very high flood risk zone. Table 8 shows that about 7.3%, 25.3%, and 39.2% area falls under the very low, low, and moderate flood risk category, respectively.

Fig. 7
figure 7

Spatial distribution of flood risk zones over the study area. The inserted bar diagram representing area distribution (sq.km) and pie diagram indicating percentage of area under flood risk zone

Figure 8(a–i) shows the block-wise distribution of flood risk, and it reveals that Dhupguri administrative block has a high risk of flood incidents (212.7km2), followed by Maynaguri (187.9 km2), Jalpaiguri (174.1 km2), Mal (137.3 km2), and Rajganj (99.6 km2). Besides, the Dhupguri block (Fig. 8g), which is under high threat of inundation, is mainly due to the mighty Jaldhaka river, which flows along the western margin, is the primary cause that influences flood. However, except for Jaldhaka, there are several other rivers viz. Rethi, Duduya, Kumlai, and others which are responsible for frequent floods in the Dhupguri block of Jalpaiguri sub-Himalaya. On the other hand, the Maynaguri block (Fig. 8f) is affected by the river Teesta and Dharala, Jalpaiguri block by Teesta and Karala (Fig. 8e), Mal and Rajganj block by Teesta and Mahananda, respectively (Fig. 8b and a). Subsequently, Mal, Nagrakata, and Matili blocks have a low risk of flood inundation, mainly due to elevated topography (Fig. 8 b, c, and d). However, instead of its low risk, there is a high chance of flood inundation, mainly along the river banks of these three blocks. So it is clear that the areas situated near the river banks and flood plain region with other vulnerable indicators consequences in high to very high risk of flood, whereas the elevated interfluve areas of Jalpaiguri have the moderate to very low risk. Furthermore, the entire Jalpaiguri foothill region is undoubtedly more or less vulnerable to flood risk, and hence mitigation strategy and preparedness should be the topmost priority.

Fig. 8
figure 8

Flood risk distribution at administrative level of Jalpaiguri foothill region (a) Rajganj block, (b) Mal block, (c) Matiali block, (d) Nagrakata block, (e) Jalpaiguri block, (f) Maynaguri block, (g) Dhupguri block, (h) bar diagram representing block-wise area distribution (sq.km) of flood risk., (i) stacked bar diagram indicating block-wise percentage distribution of flood risk

Validation

After developing any model, data validation is one of the most critical tasks to verify the outcome. However, there are numerous methods to validate the MCDM models, but in spatial earth science, the area under the curve (AUC) is the most accurate tools to verify the proficiency of the results due to its simplistic design, comprehensiveness, and fair forecasting nature (Tehrany et al. 2014; Darabi et al. 2018; Malik et al. 2020).

For our present research, the AUC is prepared based on the flood inventory points (field investigation of flood sites, historical records, and literature review). The final AUC curve is computed using the cumulative percentage of area under flood susceptibility and the cumulative percentage of the incidences of flood occurrences (Fig. 9). The accuracy of the AUC curve can be classified into 0.9–1 (excellent), 0.80–0.90 (very good), 0.70–0.80 (good), 0.60–0.70 (poor), 0.50–0.60 (weak) (Rimba et al. 2017; Arabameri et al. 2019). According to the present study, an AUC of 0.862 or 86.2% can be considered excellent for the prepared model. Figure 10 (a–f) shows some major flood events captured during the period of 2017–2019.

Fig. 9
figure 9

Validation of model using area under curve (AUC). The final AUC is 0.862 or 86.2%

Fig. 10
figure 10

Glimpse of flood affected areas at Jalpaiguri foothill region (a) Teesta spur completely submerged under flood, (b) near Jalpaiguri engineering college, (c) flood at Rajganj, (d) Kadamtala school near DBC road fully inundated due to flood, (e) flood at Dhupguri block, (f) River karala enters Jalpaiguri town near Maskalaibari due to intense rain

Conclusion

The present study evaluates the flood risk at the micro-level by considering the parameters including flood susceptibility and vulnerability using a multi-criteria decision method quantitatively based on multiple indicators. Consequently, the three required inputs on flood control, i.e., flood susceptibility, vulnerability, and risk, have been extensively analyzed and mapped to assess the level of flood danger and track the disaster's footprints. Moreover, this research work rationally combines the geomorphic and hydrological dimensions with the severity of the flood and socio-economic, demographic, and infrastructural elements with the degree of vulnerability. Since both susceptibility and vulnerability are essential factors to assess the intensity of risk, that will further define the target areas for successful preparation of safety planning measures. Furthermore, the current study has been thoroughly validated so that it can be applied with confidence to the target areas in the context of mitigation policies.

The Himalayan foothill region encounters regular floods of high magnitude, resulting in colossal infrastructure damage and extreme socio-economic destruction. Therefore, the devastation due to flood hazards demonstrated the urgent need for risk management to understand flood risk elements in a better way. Moreover, the present research outcome indicates that low-lying flood plain areas and the river basins are more prone to flood risk, which further combines with havoc population, insufficient resilience capacity, and inadequate infrastructure results the situation into mayhem. This study is focused on a wide range of effective parameters reported from different research studies, performed in various corners of the world and can therefore act as first-hand documentation and can be a revolutionary finding for data-lacking Himalayan foothill region, presented before larger scientific platforms.

Subsequently, flood risk assessment at the administrative level is beneficial for the local executive bodies to take imperative strategies and formulate necessary flood control planning. It can be recommended to prioritize understanding the floodplain region and its impacts on the local people's livelihood. Further, flood defense systems, including structural mitigation and non-structural mitigation, need to be more highlighted. Also, steps like the prohibition of settlement encroachment, more accessibility to flood shelters and hospitals, proper flood plain usage, flood insurance, and most notably, public consciousness should be of utmost importance to mitigate flood risk of the Himalayan foothill region. The flood susceptibility, vulnerability, and flood risk mapping of the present study can be beneficial for the policymakers, administrative bodies, environmentalists, and engineers for flood prevention and can be applied for the different flood-prone regions around the world.