Home Using interpretative structure model and analytical network process for optimum site selection of airport locations in Delta Egypt
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Using interpretative structure model and analytical network process for optimum site selection of airport locations in Delta Egypt

  • Ashraf A. A. Beshr EMAIL logo , Ali M. Basha , Nourhan Lofty and Magda H. Farhan
Published/Copyright: May 11, 2024
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Abstract

Airports are among the constructions that must meet international standards and specifications established by the International Civil Aviation Organization (ICAO). Some of these parameters and criteria include topography, environmental, and operating circumstances. Navigation operations are also affected by terrain and human barriers, while noise, infrastructure, and weather factors affect the environment around airports. This article investigates using the interpretative structure model (ISM) and analytical network process (ANP) together as a new technique to select and determine the optimum site selection for constructing new international airports in the Nile Delta, Egypt. The criteria used (16 international criteria) are selected depending on the standards of the ICAO, field surveys, and previous studies. Nile Delta, Egypt, is chosen as a case study because it suffers from the lack of international airports and has a population of approximately 23 million. Therefore, new international airports must be established to serve this region, boost tourism, improve transportation, and stimulate commercial traffic. The results using the suggested new technique are compared with the traditional used methods for site selection, such as fuzzy-analytic hierarchy process. Landsat 8 images are used in this research. A quality test using the area under the curve and the receiver operating characteristic curve was applied to evaluate the new technique for site selection of international airports, depending on calculating the highest suitability index for each proposed site. From the quality tests, it is deduced that the suggested method (ISM–ANP) for airport site selection is more accurate than any other traditional method. ArcGIS 10.5 software is used to draw the final digital maps containing the proposed resulted sites. As a result, three new locations for the construction of international airports were found and selected throughout the research region (Delta Nile, Egypt) based on the used mathematical models. Therefore, the proposed novel method for determining the locations of international airports is thought to be effective and feasible, and it can be used to determine the locations of any development projects in general, particularly in developing countries, which benefits the decision-makers in making the right decisions.

1 Introduction

Airports are the main pillars of the economy of any country because they are very important and prominent. It is an important infrastructure project and contributes to communications [1]. It plays an important role as a catalyst for local growth and in effective plans in this field and can greatly affect and enhance the local logistics services on the social and economic levels. Infrastructure projects in Egypt are currently progressing rapidly in all fields and in all regions, especially the Nile Delta. The establishment of new international airports has now become an important destination for decision makers in Egypt.

Egypt is located in the north of the African continent, surrounded by the Mediterranean Sea in its north, with a coastline of 995 km. Egypt is considered the main hub of communication and constantly welcomes visitors and investments between European and African countries [2]. Due to tourism, production, service industries, and other fields, those who do not have access to airport services will benefit from developing a new airport in the chosen research area (Nile Delta, Egypt). This article focuses on determining the optimum locations for constructing new international airports, which are essential to be chosen properly. The residents of the study area face difficulty in accessing the nearby airport services; the residents of the selected study area will also benefit from the construction of a new international airport [3]. These changes can simultaneously enhance regional well-being and prosperity through a stable transportation system and a suitable location to address the problem of geographic integration of airport location selection using multi-criteria decision-making (MCDM) deepening on remote sensing and geographic information system (GIS) technology.

GIS technology allows for the storage, organization, and analysis of all forms of geographic data required to establish an international airport. The article combines two models, which are the interpretative structure model (ISM) and analytical network process (ANP) together ISM–ANP methods. The results are compared with traditional methods in site selection such as analytic hierarchy process (AHP) and weighted overly tool (WOA). ISM is used to determine the relationships between the criteria and standards, but ANP is a way to derive the weights of each standard, but the WOA method implements several stages in one modular tool.

One of the best-paired comparisons for determining weights for choice criteria is the AHP approach, which is used to derive ratio measures and is employed in many different sectors of decision-making procedures. Then, the resulted weights were used for ArcGIS input layers (standard maps). The techniques of the ANP, the AHP, and the overweight method are some examples of MCDM used to calculate the weights of criteria [4,5,6].

Beshr et al. used fuzzy-AHP to detect the optimum site selection for isolation hospitals for coronavirus patients in the Nile Delta, Egypt [7]. Mallick et al. [8] used GIS and ANP for wind farm site selection in East Azerbaijan Province, Iran. Exposure of the Anambra state to floods was modeled using the Interval value fuzzy rough number–decision making trial and evaluation laboratory–ANP model in a GIS environment. The location of the general bread factory in Turkey was chosen in an unknown area and their results showed the efficiency of the method and its application to the bread sector [8]. Using the AHP method and application of GIS to landslides in the watershed of Abha, Saudi Arabia, has been investigated. The results showed the feasibility of the strategy to understand how to preserve watersheds in terms of landslides, according to El Jazouli et al. [9].

AHP by Balusa and Gorai [10] helped to create a digital map with important details regarding current and upcoming landslides to enable them to occur. The results showed that the methodology succeeded in selecting the mining method using the GIS-based AHP model and was compared by Balusa and Gorai [10]. Parizi et al. [11] used the two methods of receiver operating characteristic curve (ROC) and AHP to find the best location for the construction of the airport in Libya. According to Erkan and Elsharida [12], a GIS-based approach to the selection of rainwater harvesting sites. Sayl et al. [13] chose the optimal location for groundwater wells by integrating GIS and water geophysical data. Integration of maps of the groundwater potential area using GIS and WOA of northeastern Iraq [14,15]. Multi-criteria GIS resolution analysis by Feizizadeh and Blaschke [16] for landslide sensitivity mapping: comparison of three methods for the Urmia Lake Basin, Iran. Chen [17] has used ISM and artificial neural networks techniques in developing the user expected command location predicting approach.

To help decision-makers identify the most suitable areas for new construction projects, numerous researchers have employed a wide range of techniques to identify the best, or even optimal, locations for particular projects [18,20,21,22,23,24,25,26].

Therefore, this article aims to achieve the following goals:

  1. The possibility of using the ISM–ANP method as a new technique in selecting the airports location in the Nile Delta, Egypt;

  2. Comparing the results of site selection using the proposed technique with traditional site selection techniques; and

  3. Evaluating the ISM–ANP method by applying an accuracy test using the ROC and the area under the curve (AUC).

2 Study area (Nile Delta, Egypt) and airport services

The study area for this study is Nile Delta, Egypt, which is one of the nation’s densely populated regions. The Delta region is situated between the longitudes 30°20′ 0′′E and 32° 0′ 0′′ and the two latitudes 31°30′ 0′′ N and 30°30′ 0′′ N. The Mediterranean Sea, the Suez Canal, Cairo, and Alexandria form this region’s northern, eastern, southern, and western borders, respectively. According to Figure 1, the Nile Delta lies in the Arab Republic of Egypt’s northern region. There are five governorates in Egypt’s Nile Delta: Dakahlia, Kafr El-Sheikh, Damietta, Gharbia, and Menoufia. These governorates are situated between the two branches of the Nile River (Damietta and Rashid). Some governorates, like Dakahlia and Menoufia, may have centers that extend beyond these two branches (Figure 1). Together, these five provinces account for 16735.61 km2 or 1.22% of Egypt’s total land area. Table 1 displays the population, area, and density of Nile Delta governorates. The study area has a total population of 22,223,211, they account for 22.1% of Egypt’s total population (Source: Central Agency for Public Mobilization and Statistics, Egypt 2022). Agriculture, fishing, and the furniture business are the main employers in this community. One of the most significant agricultural and industrial areas is the study area the closest to the Mediterranean coast is considered the main location, so the area must be supported by an air transport network to serve the citizens of Delta and to promote international trade. The total number of Egyptian airports is 19, including 12 international airports with a total capacity of 29,020,100 people/hour and 7 airports National with a total capacity of 1,980 people/h (Source: Egyptian Ministry of Civil Aviation, 2022) (Figure 2).

Figure 1 
               Study area map (Nile Delta, Egypt).
Figure 1

Study area map (Nile Delta, Egypt).

Table 1

Areas and populations for Egypt’s Nile Delta governorates in 2022

Governorate Population (people) 2022 Area (km2) Density (population/km2)
El-Dakhlia 7,008,548 5383.36 1301.891
El-Gharbia 5,403,727 2648.10 2040.605
Menoufia 4,703,192 3125.41 1504.824
Damietta 1,608,847 1225.51 1312.798
Kafr El-sheikh 3,682,824 4353.23 845.998
Total 22,407,138 16735.61 7006.116

Source: Central Agency for Public Mobilization and Statistics, Egypt 2022.

Figure 2 
               Types and distribution of the existing airports in Egypt.
Figure 2

Types and distribution of the existing airports in Egypt.

3 Methodologies and applied analysis models

In this section, the new approach method is presented and described as follows.

3.1 ISM

ISM is a way of figuring out how the parts of a complex system relate to each other. It is used to organize and arrange the connections among the system’s components and establish their relative order. ISM is a technique for structural analysis that is built on an interpretive paradigm [17]. It can be used to investigate the relationships between the various underlying factors of a complex and multidimensional event, as well as the effects of each variable on the others. Different kinds of relationships between variables are possible, including mathematical, chronological, geographical, comparative, and definitive ones [17]. This approach, which is a subset of the multi-criteria approaches, aims to elucidate these connections using the opinions of subject matter experts and a graph theory foundation. The actions in this are explained in the following steps [11]:

Step 1: Structural self-interaction matrix (SSIM)

The experts are first given a square matrix with the size of the number of indications. They are required to use symbols in the matrix that correspond to the different types of relationships between the indicators to represent the paired relationships between them. The following lists these symbols along with what they mean [17].

V: When element I has an impact on element j, but element j has no bearing on element I.

A: When element j impacts element I while element I has no effect on element j.

X: When both components interact.

O: When there is no interaction between the two factors.

To determine the sort of relationship, various management strategies are offered, including brainstorming and nominal groups.

Step 2: Initial reachability matrix (IRM)

The IRM is created using the structural self-interaction matrix (SSIM), with zeros and ones in place of symbols. The SSIM matrix’s zero and one can be switched, provided that (i, j) is the component (i, j) of the SSIM matrix and R(i, j) is the component (i, j) of the reachability matrix.

If $(i, j) = V, then R(i, j) = 1 and R(i, j) = 0.

If $(i, j) = A, then R(i, j) = 0 and R(i, j) = 1.

If $(i, j) = X, then R(i, j) = 1 and R(i, j) = 1.

If $(i, j) = O, then R(i, j) = 0 and R(i, j) = 0.

Step 3: Completing the final reachability matrix (FRM)

According to equation (1), transitivity and Euler’s theorem are used to determine whether the IRM is consistent in order to determine the FRM.

The Boolean rule should be followed when exponentiations A + I

(1) ( A + I ) n + 1 = ( A + I ) n .

Step 4: Establishing the importance and amount of indicators

This stage uses the FRM to determine two sets of reachability set and antecedent set as follows.

The variables that the element I affect, as well as element I itself, are included in the reachability set for each variable I. As a result, the variables in the row corresponding to variable I that are members of this set are all equal to 1.

The variables that impact element I as well as an element I itself are both included in the antecedent set for each variable I. As a result, the variables in the column corresponding to variable I, which is part of this set, are all equal to 1. The intersection set, which is the set of all variables from both sets, must be identified after these two sets have been established. These data can be used to determine the variables’ level of relevance in the following step. As a result, the variable at the highest level will be one whose reachability is set and intersection sets are equal. The next table is created using the remaining variables once this variable is eliminated from the previous one. The second-level variables are determined by this table. This process keeps going until the levels of all the variables are established. It is easier to understand the function of each indicator and how they interact when indicators are divided into many levels, and their levels are determined [19].

Step 5: Interpretive structure model digraph construction and model evaluation: In this stage, a panel of experts evaluates the connections between the variables at various levels that were derived from the final reachability matrix in the preceding step. They are then requested to rank the relationship in order of minimal to largest influence on a scale of one to five. Next, the levels, the final reachability matrix, the results of the model evaluation, and the elimination of transitivity from the original model are used to build the final model [19].

3.2 ANP method

The ANP approach is a generalization of the AHP method and one of the multi-criteria decision-making (MCDM) methods. In reality, the ANP technique supports interdependence between criteria and sub-criteria, whereas the AHP method does not [20].

When the criteria or sub-criteria are tied to each other internally, the problem is not hierarchical; instead, it has a network state. The ANP approach is used in this instance to resolve the issue. The analytical network approach offers a thorough and effective way to make informed decisions using the empirical data or individual opinions of each decision-maker [13]. In the ANP, sub-criteria are arranged in clusters, and factors and indicators form a network of criteria. It is crucial to establish the connections between the clusters and sub-criteria because of their dependencies.

Step 1: Creating the model and network diagram

A network of criteria and sub-criteria are joined together in clusters to form the elements and indicators in ANP. Finding the linkages between the various criteria and sub-criteria of the system is a crucial stage in this process because these criteria and sub-criteria are related to one another. Methods like ISM can be used to find these connections [21]. Through this, the accessibility matrix M is transformed into an ANP network architecture, and Super Decisions software is used to generate the model.

Step 2: In the entire network, benchmarks are compared using the amazing decisions program.

Using pairwise comparisons to create an unweighted super matrix, such as AHP decision-makers now compare the two components. Scores, which range from 1 to 9, are used for pairwise comparisons [22]. To express an inverse comparison, one uses the reciprocal of each integer. The comparison matrix, which is formed from the eigenvector, and the local priority vector contain the values for pairwise comparisons. Matrix consistency as measured by AHP ought to be less than 0.1 [17]. However, if the consistency ratio is more than 0.1, experts must respond to queries. Progressively more cautious, the consistency ratio is calculated using opinions using the former (AGIS MUITI CERTIRIA) equation (2), and high degrees of inconsistency reveal conflicts in expert opinion

(2) CI = λ max n n 1 ,

(3) CR = CI RI ,

where n is the number of components compared in the matrix, max is its maximum eigenvalue, CR is its consistency ratio, CI is its consistency index, and RI is its random index (matrix dimensions). The geometric mean method was then used to integrate the paired comparison matrices. The eigenvector approach is then used to calculate the weight vectors (equation (3)):

(4) A W = λ max W ,

where λ max is the largest eigenvalue of the matrix, W is the normalized weight vector, while A is the paired comparison matrix, which

i = 1 n W = 1 .

Step 3: Super matrices, both weighted and unweighted

The weights obtained in the first stage of the ANP model are used in the third step.

Based on the problem’s structure, they are all grouped together in an array called improbable. Matrix super. To compute all the priorities and the cumulative impact of each component on the other components with which it interacts, the supermatrix can limit the coefficients. The effects of clusters or groupings of elements on one another are represented by the supermatrix. The sum of each special column vector that makes up an unweighted super matrix’s columns is one. Consequently, more than one can result from the addition of all primary or unweighted supermatrix columns (corresponding to the columns’ respective vectors). The initial supermatrix is referred to in this stage as the supermatrix. The general form of the super matrix is seen in equation (2) [21].

Step 4: In order to weight the initial supermatrix, compute the cluster weights in this step. Once the cluster weight matrix has been generated, the initial supermatrix can be weighted by multiplying the cluster weights matrix by an initial super matrix [6].

The weighted supermatrix is the name of the newly obtained matrix. To output a column, each array column needs to be standardized. The elements must add up to one and be proportional to their respective weights. As a result, a new matrix is created with each column’s sum equaling 1. That’s its super-weighted matrix is the name of the matrix by itself to the maximum super matrix size has been attained. The supermatrix is weighted until its linear values are equal and the array’s elements converge. In light of equation (4):

(5) WI = lim n W n ,

where WI is the limit supermatrix with one number on each line. These numbers show the indicators’ weight [4,23].

4 Research methodology and procedure steps

Figure 3 depicts a rough summary and methodology of the research, explaining the techniques used to determine the optimum locations for constructing new international airports in the study area and the stages involved in each method.

Figure 3 
               Flow chart of the research methodology.
Figure 3

Flow chart of the research methodology.

5 Selection of criteria for international airport site selection

The selected applied criteria were chosen depending on the Federal Aviation Administration, the International Civil Aviation Organization, the literature review of prior studies, expert opinion through actual field visits to existing airports and asking their specialists, and the availability of the data including maps, documents, etc.

The five primary categories of choice criteria to select new international airport locations are environmental concerns, topographical characteristics, climatic aspects, infrastructure facilities, and operating requirements. There are sub-criteria for each of the primary criteria, and each sub-criterion is also categorized. All of these criteria and sub-criteria have been collected into a comprehensive set of elements (parameters) that are summarized in Table 2. Thus, there are a total of 16 applicable criteria in this study, as shown in Table 2.

Table 2

Applied criteria for the study zone (Nile Delta, Egypt)

Parameter (criteria) code Parameter description
SC1 Topographical altitude
SC2 Earth tilt
SC3 Soil type
SC4 Major roads
SC5 Water resource
SC6 Power station
SC7 Communication station
SC8 Gas and oil station
SC9 Center of cities
SC10 Land use and land cover
SC11 Notice pollution
SC12 Rainfall
SC13 Temperature
Sc14 Wind speed
SC15 Pressure
SC16 Relative%

6 Data collection for the research

The input data for this study came from a wide range of sources: Landsat images, topographic maps, and official, and governmental data required for research. All of the images were created by digitizing, scanning, and geocoding the pertinent data after they were gathered at different resolutions and sizes. In addition, GIS methods such as intersection, union, buffering, interpolation, map algebra, and overlay were used to construct the topographic maps.

The studied area (Nile Delta, Egypt) was categorized into five soil types (sand, loam, clay, clay loam, and sand loam) based on geological governmental data and soil stratification. Soil type, elevation above sea level, and other criteria outlined in Tables 2 and 3 were considered to ensure alignment with international standards. Upon examining the study area, the geological composition was found to have remained largely unchanged for over 20 years, depending on the official reports.

Table 3

Used criteria, sources, format, and the scale factor

Factor Source Format Resolution or scale Used to build a layer
Slope, elevation, water stream United States Geological Survey (USGS) Digital 30 × 30 Slope (%), elevation (m), distance from water stream
Roads, power line, waterbodies, River Nile Diva GIS Vector data Shape file The proximity of roads, the proximity of water resource
Communication state, gas, and oil well Google Map Vector data The shape file download is then prepared by the author The proximity of communication state, the proximity of gas and oil well
Land use/land cover USGS Digital Unsupervised classification Selecting appropriate land
Soil Soil and Water Assessment (SWAT 2012) Table Code type of Soil Selecting appropriate Soil
Precipitation, temperature, wind, atmospheric pressure, humidity Climate Research Unit (CRU) Digital Drown by author entering in GIS software to implement interpolation between points Location using the tool Kriging The proper wind speed (m/s), the proper temperature (°C), and the value of the atmospheric pressure (kPa)

Because the input data utilized by different organizations are typically created and compiled for applications, they have distinct formats, scales, and projection systems. All of those data (United States Geological Survey) were georeferenced using the Transverse Mercator projection system within the GIS environment. Syntaxinthe final needed layers were then obtained through a series of GIS steps (including extract, proximity, buffer, overlay, convert, and clip) and, ultimately, rasterizing those vector maps (shape files).

For infrastructure data, the Esri firm created the ArcGIS Editor OSM tool, which makes the possibility to download directly to the program, starting with version 10. It is straightforward to download shape files of infrastructure for the necessary study zone using this program. Shape files can be downloaded directly from the website as well. Preparing the layers is done as follows.

The meteorological information, which included temperature, wind, humidity, air pressure, precipitation, and clearness index, was obtained from the NASA Imagery Satellite at (power.larc.nasa.gov):

  1. A point grid was created for every study area (22 points).

  2. The necessary data were obtained as an Excel file from the NASA satellite.

  3. The required data’s average was determined for each point in the grid and then entered.

  4. Apply the command from the Arc toolbox (3D analyst tools – Raster interpolation – Kriging) while pointing the GIS program at a grid point.

  5. Creation of a raster layer and land cover layer through:

    1. The source from which the layer of land cover for Egypt was downloaded.

    2. Using the study zone’s mask layer and the extract-clip from Arc Toolbox function.

    3. Using Egyptian datum to geocode the layer of land cover.

7 Reclassifying and redistributing the criteria and sub-criteria

Every criterion layer has a different unit from the others. Therefore, in order to implement a weighted overlay process, they must typically be in the same units. As a result, standardization is necessary to make the dimension units uniform, but in doing so, the scores typically lose both their dimensions and their measurement unit [24]. To create the appropriateness index map, all input layers were transformed into raster layers and categorized before being added to the weighted overlay (Figures 47). Assigning rating values from 1 to 9 (from the least to the most) based on the data from the literature research, the opinions of experts, and specifics on the safe distances and buffering zones to an airport site define the reclassifying task suitableness, as shown in Table 4. Note that, in Figures 47, the number 9 indicates the highest effect. The lower the number indicates the gradation of the effect from the highest, which is 9, to the lowest, which is 1.

Figure 4 
               Reclassification of the topographical map.
Figure 4

Reclassification of the topographical map.

Figure 5 
               Reclassification of the infrastructure map.
Figure 5

Reclassification of the infrastructure map.

Figure 6 
               Reclassification of operational and environment condition map.
Figure 6

Reclassification of operational and environment condition map.

Figure 7 
               Reclassification of the climatic factor map.
Figure 7

Reclassification of the climatic factor map.

Table 4

Reclassification of the input layers

Main criteria Sub-criteria Reclassification Score Source
Topographical Elevation (m) ≤122 9 USGS
38.6–58.6 8
18.6–38.6 7
4.6–18.6 6
4.666≥ 5
Slope% 0–0.49 9
0.49–1.55 9
1.55–2.9 8
2.99–5.7 7
≥48.1 3
Soil type Sand 10 Soil and Water Assessment (SWAT 2012)
Loam 6
Clay 4
Clay Loam 6
Sandy Loam 7
Infrastructure Major roads (m) 0–1758.6 9 Diva GIS
1758.6–3976 8
3976.2–7187.5 7
≥19574.5 3
Water streams (m) 0–3054.8 9 Diva GIS/digital elevation model
≥18547.4 1
Water body (m) 6.979≥ 9
6.979–16.517 8
16.517–27.450 5
≤27.450 3
River Nile (m) 0–10,020 9
10,020–21,630 7
21,630–34,530 5
≥62046.5 3
Proximity from power station (m) 0–16808.3 9 Google Map
16808.3–29628.2 7
29628.2–29628.7 5
≥72646.2 2
Proximity from communication station (km) 0–0.2734 9 Google Map
0.2734–0.4876 7
0.4876–0.7656 5
≥1.1576 3
Operational conditions Proximity from gas and oil station 0–0.5915 9 Google Map
0.5915–1.3642 8
Center of cities (km) 0–0.1970 9 Diva GIS
0.1970–0.3472 8
0.3472–0.4917 6
0.4917–0.6494 5
≥0.9546 3
Environment considerations Land use and land cover Herbaceous or shrub cover 1 United States Geological Survey (USGS)
Cultivated area 1
Bare land 10
Water bodies 10
Associated area 6
Density of population (m) 0–1627.5 1 World Pop
1627.5–13563.2 7
13563.2–45030.1 8
138345.5≤ 9
Climatic factors Rainfall (mm/day) ≥2.666671 3 CRU
6.383662–9.547059 2
≤12.749999 1
Temperature (°C) ≥22.05 9 CRU
≤23.225 8
Wind speed (m/s) 4.9477–5.47 9 CRU
5.42–5.75 8
≥6.4571 7
Pressure (kPa) 101.4–101.4 7 CRU
101.40–101.40 8
≥101.4099 9
Relative% 1.323–1.837 9 CRU
1.837–2.3918 8
≥3.0699 7

8 Implementation and outcomes of ISM

Finding the problem-related variables is the first step in this method of structuring the problem indicators. The contextual links between the indicators are then established utilizing specialists’ experience, theoretical knowledge, and practical expertise.

The provision of a multi-level structural model comes last. Fifteen university professors who are specialists in crisis management, urban planning, and seismic engineering collaborated in this study and answered a questionnaire on this method. The following were the steps in the implementation: formation of the SSIM.

Step 1: The experts received the pertinent questionnaire in the form of a square matrix with the same rows and columns as the urban physical indicators. The final structural self-interaction matrix is obtained after compiling all the finished opinions and matrices according to the outcomes of paired comparisons. Therefore, a relationship between the two components is considered if it is supported by the majority of the expert group (N/2 + 1 votes); otherwise, there is no relationship between the two components. This matrix is shown in Table 5.

Table 5

Resulted SSIM

Variables 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
SC1 X O O V O O O O V O V V V V O
SC2 O V V O O O O V O V O V V O
SC3 O A O O V O A O A A A O A
SC4 O O O O O A O O O O O O
SC5 O O O O V V A V A A V
SC6 O A O A O A O A O O
SC7 O A A O O O O O O
SC8 O V V A A O O O
SC9 V X O O O O O
SC10 X O O O O O
SC11 O O O O O
SC12 X X A A
SC13 V A A
SC14 A V
SC15 O
SC16

Step 2: Creation of the IRM

The SSIM and the symbol substitution method are used to create the IRM.

Step 3: Creation of the FRM

The equation is then used to determine the consistency of the initial reachability matrix and produce the final reachability matrix (1).

Step 4: Grouping and ordering indicators according to the importance

This stage uses the final reachability matrix to determine two sets of reachability set and antecedent set. The level partitioning (LP) of the indicators used in the current study is shown in Table 6.

Table 6

LP of the indicators

Elements (MI) Reachability set R (MI) Antecedent set A (Ni) Intersection set R(MI) ∩ A(Ni) Level
1 1,2 1,2 1,2 5
2 1,2 1,2 1,2 5
3 3,8,9,10,11 1,2,3,5,8,9,10,11,12,13,14,15,16 3,8,9,10,11 2
4 4, 1,2,3,5,8,9,10,11,12,13,14,15,16 4 1
5 5,12,13,14,16 1,2,5,12,13,14,15,16 5,12,13,14,16 3
6 6, 1,2,3,5,6,8,9,10,11,12,13,14,15,16 6 1
7 7, 1,2,3,5,6,8,9,10,11,12,13,14,15,16 7 1
8 3,8,9,10,11 1,2,3,5,8,9,10,11,12,13,14,15,16 3,8,9,10,11 2
9 3,8,9,10,11 1,2,3,5,8,9,10,11,12,13,14,15,16 3,8,9,10,11 2
10 3,8,9,10,11 1,2,3,5,8,9,10,11,12,13,14,15,16 3,8,9,10,11 2
11 3,8,9,10,11 1,2,3,5,8,9,10,11,12,13,14,15,16 3,8,9,10,11 2
12 5,12,13,14,16 1,2,5,12,13,14,15,16 5,12,13,14,16 3
13 5,12,13,14,16 1,2,5,12,13,14,15,16 5,12,13,14,16 3
14 5,12,13,14,16 1,2,5,12,13,14,15,16 5,12,13,14,16 3
15 15, 1,2,15 15 4
16 5,12,13,14,16 1,2,5,12,13,14,15,16 5,12,13,14,16 3

Step 5: Model assessment and the creation of the interpretive structure model digraph

Using the relationships taken from the final reachability matrix and the preceding stage, a group of seven experts assessed the model. Subsequently, the ultimate model is created based on the outcomes of the fourth phase and the model assessment findings. In the ISM model, an indicator will be at a lower level if it has an impact on others. On the other hand, an indicator will be of higher quality if it is strongly influenced by other indications. The ISM model displays an effect from bottom to top. There are five levels in the final model this study created (Figure 8). This model shows the most significant relationships. The directions of the arrows indicate how each factor affects the others.

Figure 8 
               The diamgraph of ISM-based model.
Figure 8

The diamgraph of ISM-based model.

9 Implementation of ANP

Determining the importance of each urban physical indicator using this methodology is done.

Physical toughness: This model’s calculations were carried out using Super Decision and MATLAB software. The model’s phases for implementation are as follows:

Step 1: The network diagram and creation of the ANP model

Three clusters of urban physical indicators are identified in this study.

Inside each cluster, there are multiple linked signs. The ISM model produces clusters (Figure 9).

Figure 9 
               The procedure used to calculate the weight vectors.
Figure 9

The procedure used to calculate the weight vectors.

Step 2: Forming the unweighted and weighted super matrices

The unweighted super matrix was created in this stage using the weights gained in the preceding step. The weighted supermatrix has dimensions (16 rows × 16 columns) and was created by standardizing the columns of the unweighted supermatrix table.

The unweighted super matrix was created in this stage using the weights gained in the preceding step. The weighted super matrix was created by standardizing the columns of the unweighted supermatrix. Limit Super matrix generation is specified in Step 4 (Figures 10 and 11).

Figure 10 
               The weight of the applied indicators.
Figure 10

The weight of the applied indicators.

Figure 11 
               Output map of applying ANP method.
Figure 11

Output map of applying ANP method.

10 AHP application

Based on the opinions of the experts, the analytic hierarchy technique was used in this study to evaluate the factors that influence and characterize urban physical resilience. The same set of experts from the ANP model offered their input and advised importance ratings in paired comparisons for this reason (Table 7) [6]. According to Table 7, professionals use paired comparison matrices to express their viewpoints.

Table 7

Relative importance values in paired comparisons

Rank of importance Definition Description
1 Equal importance To accomplish the goal, two components are equally crucial
3 Some more important There is one that is marginally more significant than the other
5 Much more important There is a more significant aspect than the other
7 Very much important One component is far more crucial than the other
9 Extremely important One component is far more significant than the other
2,4,6,8 Values in the middle of adjacent values Comparison times are required
Reciprocals above Equivalent in terms of inverse comparison When comparing in reverse, the inverse number needs to be taken into account

The weight of each attribute is established by creating paired comparison matrices and figuring out the consistency ratio. Based on the judgments of the experts, Table 8 displays the relative relevance of several features in relation to one another (the weight of the main criteria) (Figures 1214) (Table 9).

Table 8

Main criteria, sub-criteria, and their relative weight were computed by using the AHP method

Main criteria Sub-criteria Weights
Topographical Topographical altitude 0.090404
Earth tilt 0.022601
Soil type 0.045202
Infrastructure Major roads 0.222222
Water resource 0.444444
Power station 0.222222
Communication station 0.111111
Environment considerations Gas and oil station 0.064312
Center of cities 0.128624
Operational conditions Land use and land cover 0.138518
Notice pollution 0.277036
Climatic factors Rainfall 0.028455
Temperature 0.028455
Wind speed 0.022401
Pressure 0.016814
Relative% 0.062083
Total 1.00
Figure 12 
               Output map of applying the AHP method.
Figure 12

Output map of applying the AHP method.

Figure 13 
               Weighted overlay tool model for the study’s requirements.
Figure 13

Weighted overlay tool model for the study’s requirements.

Figure 14 
               Resulted map of applying the WOA method.
Figure 14

Resulted map of applying the WOA method.

Table 9

Airport output location areas and percentages resulting from the ANP, AHP, and WOA methods

Rank area Areas of optimum location airports from ANP Percentage Areas of optimum location airports from AHP Percentage Areas of optimum location airports from WOA Percentage
Average to good 89.9 0.005 786.5 0.047 708.8 0.042
Good 3655.5 0.218 3631.5 0.217 3628.8 0.217
Very good 11959 0.715 11045.1 0.66 10826.4 0.647
Excellent 1011.6 0.060 1171.5 0.07 1434.6 0.086
Optimum 19 0.002 100.4 0.006 136.4 0.008
Total 16,735 1.00 16,735 1.00 16,735 1.00

Five categories emerged from the use of the three methods: optimum suitability, excellent suitability, very good suitability, good suitability, and average to good suitability. By comparing the results obtained with the three methods, it was found that there was some convergence in the analysis of the results obtained.

11 Suitability assessment of the suggested resulted airport sites

After the application process in the three methods, three candidate sites were selected to satisfy all site requirements and are located at different locations within the highest suitability index regions (suitability index 7–9). Each of the suggested site will have assigned letter – A, B, C – and each cover about 50 km2 (5,000 ha); max (Figure 15) in order to determine the optimum suitable site (Figures 16 and 17).

Figure 15 
               Optimum location map, using the ANP method.
Figure 15

Optimum location map, using the ANP method.

Figure 16 
               Optimum location map, using the AHP method.
Figure 16

Optimum location map, using the AHP method.

Figure 17 
               Optimum location map, using the WOA method.
Figure 17

Optimum location map, using the WOA method.

12 Analysis and results

The ROC curve is a graphical representation of the performance of a binary classifier mode. Plotting the true positive rate vs the false positive rate at various categorization criteria is how it is made. The AUC/ROC is a measure of the classifier’s ability to discriminate. The curve is important because it provides a single number that summarizes the performance of the classifier across all possible thresholds. It is also insensitive to unbalanced class distribution. This curve is a useful measure for evaluating binary classification models. By calculating the area under the ROC curve, a single number can be obtained that summarizes the classifier’s ability to distinguish between classes, which makes it easy to evaluate the performance of classification models.

AUC is a synthetic measure created for ROC curves that defines the probability that an event categorized as positive by the test will occur in reality given all potential positive test results. The quantitative and qualitative relationships between the American University of Cairo and the prediction rate are expressed as follows: unsatisfactory (0.5–0.6), satisfactory (0.6–0.7), good (0.7–0.8), very good (0.8–0.9), and excellent (0.9–1). The ISM–ANP model is validated using AUC/ROC. The research region was gathered and used as a validation dataset. These locations were imported into the GIS Environment and validated using the ROC tool (Figures 1821).

Figure 18 
               Steps to determine the AUC.
Figure 18

Steps to determine the AUC.

Figure 19 
               Test quality for AHP using the AUC/ROC curve.
Figure 19

Test quality for AHP using the AUC/ROC curve.

Figure 20 
               Test quality for ANP using the AUC/ROC curve.
Figure 20

Test quality for ANP using the AUC/ROC curve.

Figure 21 
               Test quality for WOA using the AUC/ROC curve.
Figure 21

Test quality for WOA using the AUC/ROC curve.

According to the verification results, the ISM–ANP approach obtained outstanding validation accuracy with an AUC value of 0.990, while the AHP method achieved 0.936, as did the WOA method. This indicates that the ISM–ANP model is the most successful at evaluating airport site selection.

13 Conclusion

This article presents a combination of two techniques, ANP and ISM models, integrating GIS to detect the optimum site selection of new international airports in Nile Delta, Egypt. The suggested technique is compared with traditional methods using an accuracy test. Using suggested models integrating with GIS technology and multiple environmental and scientific standards followed in developed countries represents an efficient and elaborate technique in the selection of appropriate sites for airports in Egypt and makes the vision clear for decision-makers to choose the best places to establish new international airports or any other national project. Therefore, the following conclusions can be drawn.

Three new locations for the construction of international airports were found and selected throughout three governorates in the research region (Delta Nile, Egypt) based on the used mathematical models: Kafr El Sheikh, El Dakahlia, and El Menoufia. We were able to identify the most important zones for additional investigation using these models. Using ArcGIS 10.5, 16 input criteria (layers) were added to an overlay analysis process with GIS to solve the issue of where to locate the airport in the suggested area, a technological advancement that has the capacity to handle massive amounts of data from several sources. The following parameters were considered in this analysis: distance from residential areas (noise and pollution), land cover type, precipitation, temperature, wind speed, atmospheric pressure, relative humidity, altitude above sea level, land slope percentage, soil properties, ease of access to roads, water resources, power lines, communication stations, oil and gas lines, and urban centers.

Using ANP methodologies, the weights of the standards were established based on the geographical features of the study area (Nile Delta, Egypt), relevant laws and regulations, a review of the literature on previous research, and expert opinion. The finished map contained five different types of suitability indications, ranging from modest to very efficient.

The ISM–ANP approach was compared to the usual methods (AHP), and the three generated maps were compared. Three sites have been proposed for airport sites out of numerous locations with the greatest suitability index according to the approach map used.

The quality of result test was carried out for the chosen method using ROC_AUC with the usual methods for evaluating the reliability of the method employed, and the ranking of the suggested resulted sites. The obtained findings demonstrate the approach adopted. Despite variances in decision weights within the domain, it entirely outperformed the other potential sites.

Field investigations and satellite imagery analysis show that the indicated sites are consistent with the form’s results. The results of this study show that the performance is accurate. The model used to locate Egypt’s airport is quite precise. As a result, it can be customized as a decision-support tool for decision-makers and planners.

  1. Funding information: Funding information is not applicable/No funding was received.

  2. Author contributions: Conceptualization, Ashraf A. A. Beshr; methodology, Ashraf A. A. Beshr; software, Ali M. Basha; formal analysis, Nourhan Lofty; investigation, Nourhan Lofty; field works and resources, Ashraf A. A. Beshr; data curation, Nourhan Lofty; writing – original draft preparation, Magda H. Farhan; writing – review and editing, Magda H. Farhan; supervision, all authors have read and agreed to the published version of the manuscript.

  3. Conflict of interest: On behalf of all authors, the corresponding author states that there is no conflict of interest.

  4. Data availability statement: All data, models, and code generated or used during the study appear in the submitted article.

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Received: 2024-02-05
Revised: 2024-03-18
Accepted: 2024-03-26
Published Online: 2024-05-11

© 2024 the author(s), published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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  118. Origin of Late Cretaceous A-type granitoids in South China: Response to the rollback and retreat of the Paleo-Pacific plate
  119. Modification of dolomitization on reservoir spaces in reef–shoal complex: A case study of Permian Changxing Formation, Sichuan Basin, SW China
  120. Geological characteristics of the Daduhe gold belt, western Sichuan, China: Implications for exploration
  121. Rock physics model for deep coal-bed methane reservoir based on equivalent medium theory: A case study of Carboniferous-Permian in Eastern Ordos Basin
  122. Enhancing the total-field magnetic anomaly using the normalized source strength
  123. Shear wave velocity profiling of Riyadh City, Saudi Arabia, utilizing the multi-channel analysis of surface waves method
  124. Effect of coal facies on pore structure heterogeneity of coal measures: Quantitative characterization and comparative study
  125. Inversion method of organic matter content of different types of soils in black soil area based on hyperspectral indices
  126. Detection of seepage zones in artificial levees: A case study at the Körös River, Hungary
  127. Tight sandstone fluid detection technology based on multi-wave seismic data
  128. Characteristics and control techniques of soft rock tunnel lining cracks in high geo-stress environments: Case study of Wushaoling tunnel group
  129. Influence of pore structure characteristics on the Permian Shan-1 reservoir in Longdong, Southwest Ordos Basin, China
  130. Study on sedimentary model of Shanxi Formation – Lower Shihezi Formation in Da 17 well area of Daniudi gas field, Ordos Basin
  131. Multi-scenario territorial spatial simulation and dynamic changes: A case study of Jilin Province in China from 1985 to 2030
  132. Review Articles
  133. Major ascidian species with negative impacts on bivalve aquaculture: Current knowledge and future research aims
  134. Prediction and assessment of meteorological drought in southwest China using long short-term memory model
  135. Communication
  136. Essential questions in earth and geosciences according to large language models
  137. Erratum
  138. Erratum to “Random forest and artificial neural network-based tsunami forests classification using data fusion of Sentinel-2 and Airbus Vision-1 satellites: A case study of Garhi Chandan, Pakistan”
  139. Special Issue: Natural Resources and Environmental Risks: Towards a Sustainable Future - Part I
  140. Spatial-temporal and trend analysis of traffic accidents in AP Vojvodina (North Serbia)
  141. Exploring environmental awareness, knowledge, and safety: A comparative study among students in Montenegro and North Macedonia
  142. Determinants influencing tourists’ willingness to visit Türkiye – Impact of earthquake hazards on Serbian visitors’ preferences
  143. Application of remote sensing in monitoring land degradation: A case study of Stanari municipality (Bosnia and Herzegovina)
  144. Optimizing agricultural land use: A GIS-based assessment of suitability in the Sana River Basin, Bosnia and Herzegovina
  145. Assessing risk-prone areas in the Kratovska Reka catchment (North Macedonia) by integrating advanced geospatial analytics and flash flood potential index
  146. Analysis of the intensity of erosive processes and state of vegetation cover in the zone of influence of the Kolubara Mining Basin
  147. GIS-based spatial modeling of landslide susceptibility using BWM-LSI: A case study – city of Smederevo (Serbia)
  148. Geospatial modeling of wildfire susceptibility on a national scale in Montenegro: A comparative evaluation of F-AHP and FR methodologies
  149. Geosite assessment as the first step for the development of canyoning activities in North Montenegro
  150. Urban geoheritage and degradation risk assessment of the Sokograd fortress (Sokobanja, Eastern Serbia)
  151. Multi-hazard modeling of erosion and landslide susceptibility at the national scale in the example of North Macedonia
  152. Understanding seismic hazard resilience in Montenegro: A qualitative analysis of community preparedness and response capabilities
  153. Forest soil CO2 emission in Quercus robur level II monitoring site
  154. Characterization of glomalin proteins in soil: A potential indicator of erosion intensity
  155. Power of Terroir: Case study of Grašac at the Fruška Gora wine region (North Serbia)
  156. Special Issue: Geospatial and Environmental Dynamics - Part I
  157. Qualitative insights into cultural heritage protection in Serbia: Addressing legal and institutional gaps for disaster risk resilience
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