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Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation

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  • The present study aimed to assess the potential of biogeographic regions focused on soil organic carbon within the Eastern Black Sea Sub-Region and the Konya sub-region of Türkiye. These Sub-Regions have various unique distinct physical geographical properties (climate, geomorphology, vegetation, hydrology, etc.), land use-land cover, and soil geography characteristics. The present study evaluates their capacity to produce their soil organic carbon (SOC) using the Stepwise Weight Assessment Ratio Analysis (SWARA) method. Because numerous environmental factors influence the potential for SOC production in various SOC-driven biogeographic zones, the degree to which these criteria influence and contribute to the creation of SOC varies. Determining these criteria's relative relevance is a difficult decision-making process. One strategy created to get around this challenge is the SWARA method. Additionally, soil organic carbon stock calculations were made in soil samples (3,440) taken from both sub-regions to validate model outputs obtained, and their spatial changes were compared with the model output. According to the results, the lowest RMSE values of interpolation models for Eastern Black Sea and Konya biogeographic sub-regions were determined 0.103 (Gaussian semivariogram model of Ordinary Kriging) and 0.474 (IDW-2). As for the SWARA model, it was found that the highest weighting value was for vegetation intensity whereas, pH sub-crietria has the lowest weighting value as 0.011. Moreover, while soil organic carbon contents of soils distributed in the Eastern Black Sea biogeographic sub-region vary between 19.52 tons C ha−1 and 156.32 tons C ha−1, they vary between 11.85 tons C ha−1 and 99.55 tons C ha−1 for the Konya biogeographic Sub-region. When the statistical relationship between soil organic carbon stock values and model results in soil samples taken from the sub-regions were checked for accuracy of the result obtained from estimation model, very high coefficient of determination (R2) values, such as the R2 value of 0.699 for the Eastern Black Sea biogeographic Sub-Region, and the R2 value of 0.697 for the Konya biogeographic sub-region, were found.
  • In a recent report on Latin America's next petroleum boom, The Economist refers to the current and future situation in oil producing countries in the region. In the case of Argentina, the increase in oil and gas output 'have led to an increase in production in Vaca Muerta, a mammoth field in Argentina's far west. It holds the world's second-largest shale gas deposits and its fourth-largest shale oil reserves… Rystad Energy expects shell-oil production in Argentina will more than double by the end of the decade, to over a million barrels per day'[1].

    Oil production in Argentina is currently dominated by three Patagonian areas: Neuquén, San Jorge, and Austral. Based on 2021 information, 49% of oil reserves of Argentina are located in Neuquén, whereas San Jorge has 46%. Neuquén is also the largest source of oil (57%) and gas (37%) in the country. According to 2018 data, conventional oil produced in Argentina amounts to 87%, whereas non-conventional, shale production represents 13%; however, non-conventional oil is increasing due to Vaca Muerta shale oil exploitation.

    This increase of production in the Patagonian fields requires the use of a large fluid storage capacity by means of vertical oil storage tanks having different sizes and configurations. Tanks are required to store not just oil but also water. The exploitation of nonconventional reservoirs, such as Vaca Muerta, involves massive water storage to carry out hydraulic stimulation in low-permeability fields, and for managing the return fluid and production water at different stages of the process (storage, treatment, and final disposal).

    Storage tanks in the oil industry are large steel structures; they may have different sizes, and also different shell configurations, such as vertical cylinders with a fixed roof or with a floating roof and opened at the top[2]. It is now clear that such oil infrastructure is vulnerable to accidents caused by extreme weather events[35].

    Data from emergencies occurring in oil fields shows that accidents due to regional winds, with wind speed between 150 and 240 km/h, may cause severe tank damage. Seismic activity in the region, on the other hand, is of less concern to tank designers in Patagonia.

    Damage and failure mechanisms of these tanks largely depend on tank size and configuration, and their structural response should be considered from the perspective of shell mechanics and their consequences. In a report on damage observed in tanks following hurricanes Katrina and Rita in 2005[6,7], several types of damage were identified. The most common damage initiation process is due to shell buckling[811], which may progress into plasticity at higher wind speeds. In open-top tanks, a floating roof does not properly slide on a buckled cylindrical shell, and this situation may lead to different failure mechanisms. Further, damage and loss of integrity have the potential to induce oil spills, with direct consequences of soil contamination and also of fire initiation.

    Concern about an emergency caused by such wind-induced hazards involves several stakeholders, because the consequences may affect the operation of oil plants, the local and regional economies, the safety of the population living in the area of a refinery or storage farm, and the environment[6]. In view of the importance of preserving the shell integrity and avoiding tank damage, there is a need to evaluate risk of existing tanks at a regional level, such as in the Neuquén and San Jorge areas. This information may help decision makers in adopting strategies (such as structural reinforcement of tanks to withstand expected wind loads) or post-event actions (like damaged infrastructure repair or replacement).

    The studies leading to the evaluation of risk in the oil infrastructure are known as vulnerability studies, and the most common techniques currently used are fragility curves[12]. These curves evaluate the probability of reaching or exceeding a given damage level as a function of a load parameter (such as wind speed in this case).

    Early studies in the field of fragility of tanks were published[13] from post-event earthquake damage observations. Studies based on computational simulation of tank behavior under seismic loads were reported[14]. The Federal Emergency Management Administration in the US developed fragility curves for tanks under seismic loads for regions in the United States, and more recently, this has been extended to hurricane and flood events in coastal areas[15]. Seismic fragility in Europe has been reviewed by Pitilakis et al.[16], in which general concepts of fragility are discussed. Bernier & Padgett[17] evaluated the failure of tanks due to hurricane Harvey using data from aerial images and government databases. Fragility curves were developed based on finite element analyses and damage of the tank population was identified in the Houston Ship Channel. Flood and wind due to hurricane Harvey were also considered[18] to develop fragility curves.

    Because fragility curves for tanks under wind depend on the wind source (either hurricane or regional winds), and the type and size of tanks identified in a region, fragility curves developed for one area are not possible to be directly used in other areas under very different inventory and wind conditions.

    This paper addresses problems of shell buckling and loss of integrity of open top tanks, with wind-girders and floating roof and it focuses on the development of fragility curves as a way to estimate damage states under a given wind pressure. The region of interest in this work covers the oil producing areas in Patagonia, Argentina. Damage of tanks under several wind pressures are evaluated by finite element analyses together with methodologies to evaluate the structural stability.

    The construction of fragility curves requires information from the following areas: First, an inventory of tanks to be included in the analysis; second, data about the loads in the region considered; third, data about structural damage, either observed or computed via modeling; and fourth, a statistical model that links damage and load/structure data. This section describes the main features of the tank population considered in the study.

    The construction of an inventory at a regional level is a very complex task, which is largely due to a lack of cooperation from oil companies to share information about their infrastructure. Thus, to understand the type of tanks in an oil producing region, one is left collecting a limited number of structural drawings and aerial photography. A detailed inventory of the Houston Ship Channel was carried out by Bernier et al.[19], who identified 390 floating roof tanks. An inventory for Puerto Rico[20] identified 82 floating roof tanks. Although both inventories used different methodologies and addressed very different tank populations, some common features were found in both cases.

    An alternative strategy to carry out fragility studies is to develop a database using a small number of tanks, for which a detailed structural behavior is investigated using finite element analysis. This is a time-consuming task, but it allows identification of buckling pressures, buckling modes, and shell plasticity. This information serves to build approximate fragility curves, and it can also be used to develop what are known as meta-models, which predict structural damage based on tank/load characteristics. Such meta-models take the form of equations that include the tank geometry and wind speed to estimate damage. Meta-models were used, for example, in the work of Kameshwar & Padgett[18].

    This work employs a simplified strategy, and addresses the first part of the procedure described above. The use of a limited number of tanks in a database, for which a finite element structural analysis is carried out. This leads to fragility curves based on a simplified tank population (reported in this work) and the development of a meta-model together with enhanced fragility results will be reported and compared in a future work.

    Partial information of tanks in the Patagonian region was obtained from government sources, and this was supplemented by aerial photography showing details of tank farms in the region. As a result of that, it was possible to establish ranges of tank dimensions from which an artificial database was constructed.

    The present study is restricted to open-top tanks with a wind girder at the top. They are assumed to have floating roofs, which are designed and fabricated to allow the normal operation of the roof without the need of human intervention. The main characteristics of tanks investigated in this paper, are illustrated in Fig. 1.

    Figure 1.  Geometric characteristics of open-topped oil storage considered in this paper.

    The range of interest in terms of tank diameter D was established between 35 m < D < 60 m. Based on observation of tanks in the region, the ratios D/H were found to be in the range 0.20 < D/H < 0.60, leading to cylinder height H in the range 12 m < H < 20 m. These tanks were next designed using API 650[21] regulations to compute their shell thickness and wind girder dimensions. A variable thickness was adopted in elevation, assuming 3 m height shell courses. The geometries considered are listed in Table 1, with a total of 30 tanks having combinations of five values of H and six values of D. The volume of these tanks range between 55,640 and 272,520 m3.

    Table 1.  Geometry and course thickness of 30 tanks considered in this work.
    H
    (m)
    CoursesThickness t (m)
    D = 35 mD = 40 mD = 45 mD = 50 mD = 55 mD = 60 m
    12V10.0140.0160.0180.0180.0200.022
    V20.0120.0120.0140.0160.0160.018
    V30.0080.0100.0100.0100.0120.012
    V40.0060.0080.0080.0080.0080.008
    14V10.0160.0180.0200.0220.0250.025
    V20.0140.0140.0160.0180.0200.020
    V30.0100.0120.0120.0140.0140.016
    V40.0080.0080.0080.0100.0100.010
    V50.0060.0080.0080.0080.0080.008
    16V10.0180.0200.0220.0250.0280.028
    V20.0160.0180.0180.0200.0220.025
    V30.0120.0140.0160.0160.0180.020
    V40.0100.0100.0120.0120.0140.014
    V50.0060.0080.0080.0080.0080.010
    V60.0060.0080.0080.0080.0080.010
    18V10.0200.0220.0250.0280.0300.032
    V20.0180.0200.0220.0250.0250.028
    V30.0140.0160.0180.0200.0200.022
    V40.0120.0120.0140.0160.0160.018
    V50.0080.0100.0100.0100.0120.012
    V60.0080.0100.0100.0100.0120.012
    20V10.0220.0250.0280.0300.0320.035
    V20.0200.0220.0250.0280.0280.032
    V30.0160.0180.0200.0220.0250.028
    V40.0140.0140.0160.0180.0200.020
    V50.0100.0120.0120.0140.0140.016
    V60.0100.0120.0120.0140.0140.016
    V70.0100.0120.0120.0140.0140.016
     | Show Table
    DownLoad: CSV

    The material assumed in the computations was A36 steel, with modulus of elasticity E = 201 GPa and Poisson's ratio ν = 0.3.

    For each tank, a ring stiffener was designed as established by API 650[21], in order to prevent buckling modes at the top of the tank. The minimum modulus Z to avoid ovalization at the top of the tank is given by

    Z=D2H17(V190)2 (1)

    where V is the wind speed, in this case taken as V = 172.8 km/h for the Patagonian region. Intermediate ring stiffeners were not observed in oil tanks in Patagonia, so they were not included in the present inventory.

    Because a large number of tanks need to be investigated in fragility studies, it is customary to accept some simplifications in modeling the structure to reduce the computational effort. The geometry of a typical ring stiffener at the top is shown in Fig. 2a, as designed by API 650. A simplified version was included in this research in the finite element model, in which the ring stiffener is replaced by an equivalent thickness at the top, as suggested in API Standard 650[21]. This approach has been followed by most researchers in the field. The equivalent model is shown in Fig. 2b.

    Figure 2.  Ring stiffener, (a) design according to API 650, (b) equivalent section[22].

    The pressure distribution due to wind around a short cylindrical shell has been investigated in the past using wind tunnels and computational fluid dynamics, and a summary of results has been included in design regulations.

    There is a vast number of investigations on the pressures in storage tanks due to wind, even if one is limited to isolated tanks, as in the present paper. For a summary of results, see, for example, Godoy[11], and only a couple of studies are mentioned here to illustrate the type of research carried out in various countries. Wind tunnel tests were performed in Australia[23], which have been the basis of most subsequent studies. Recent tests in Japan on small scale open top tanks were reported[24,25]. In China, Lin & Zhao[26] reported tests on fixed roof tanks. CFD models, on the other hand, were computed[27] for open top tanks with an internal floating roof under wind flow. Although there are differences between pressures obtained in different wind tunnels, the results show an overall agreement.

    The largest positive pressures occur in the windward meridian covering an angle between 30° and 45° from windward. Negative pressures (suction), on the other hand, reach a maximum at meridians located between 80° and 90° from windward. An evaluation of US and European design recommendations has been reported[28,29], who also considered the influence of fuel stored in the tank.

    The circumferential variation of pressures is usually written in terms of a cosine Fourier series. The present authors adopted the series coefficients proposed by ASCE regulations[30], following the analytical expression:

    q=λinCicos(iφ) (2)

    in which λ is the amplification factor; the angle φ is measured from the windward meridian; and coefficients Ci represent the contribution of each term in the series. The following coefficients were adopted in this work (ASCE): C0 = −0.2765, C1 = 0.3419, C2 = 0.5418, C3 = 0.3872, C4 = 0.0525, C5 = 0.0771, C6 = −0.0039 and C7 = 0.0341. For short tanks, such as those considered in this paper, previous research reported[31] that for D/H = 0.5 the variation of the pressure coefficients in elevation is small and may be neglected to simplify computations. Thus, the present work assumes a uniform pressure distribution in elevation at each shell meridian.

    In fragility studies, wind speed, rather than wind pressures, are considered, so that the following relation from ASCE is adopted in this work:

    qz=0.613KztKdV2IV=qz0.613KztKdI (3)

    in which I is the importance factor; Kd is the directionality factor; and Kzt is the topographic factor. Values of I = 1.15, Kd = 0.95 and Kzt = 1, were adopted for the computations reported in this paper.

    Because shell buckling was primarily investigated in this work using a bifurcation analysis, the scalar λ was increased in the analysis until the finite element analysis detected a singularity.

    Fragility curves are functions that describe the probability of failure of a structural system (oil tanks in the present case) for a range of loads (wind pressures) to which the system could be exposed. In cases with low uncertainty in the structural capacity and acting loads, fragility curves take the form of a step-function showing a sudden jump (see Fig. 3a). Zero probability occurs before the jump and probability equals to one is assumed after the jump. But in most cases, in which there is uncertainty about the structural capacity to withstand the load, fragility curves form an 'S' shape, as shown in Fig. 3a and b probabilistic study is required to evaluate fragility.

    Figure 3.  Examples of fragility curves, (a) step-function, (b) 'S' shape function.

    The construction of fragility curves is often achieved by use of a log-normal distribution. In this case, the probability of reaching a certain damage level is obtained by use of an exponential function applied to a variable having a normal distribution with mean value μ and standard deviation σ. If a variable x follows a log-normal distribution, then the variable log(x) has a normal distribution, with the following properties:

    • For x < 0, a probability equal to 0 is assigned. Thus, the probability of failure for this range is zero.

    • It can be used for variables that are computed by means of a number of random variables.

    • The expected value in a log-normal distribution is higher than its mean value, thus assigning more importance to large values of failure rates than would be obtained in a normal distribution.

    The probability density function for a log-normal distribution may be written in the form[32]:

    f(xi)=12πσ21xexp[(lnxµ)2/(2σ2)] (4)

    in which f(xi) depends on the load level considered, and is evaluated for a range of interest of variable x; and μ* is the mean value of the logarithm of variable x associated with each damage level. Damage levels xi are given by Eqn (5).

    µ(xi)=1NNn=1ln(xin) (5)

    where the mean value is computed for a damage level xi, corresponding to I = DSi; summation in n extends to the number of tanks considered in the computation of the mean value. Damage levels in this work are evaluated using computational modeling and are defined in the next section. Variance is the discrete variable xi 2), computed from:

    σ2(xi,µ)=1NNn=1(ln(xin)µ)2=1NNn=1ln(xin)2µ2 (6)

    The probability of reaching or exceeding a damage level DSi is computed by the integral of the density function using Eqn (7), for a load level considered (the wind speed in this case):

    P[DS/x]=x=V0x=0f(x)dx (7)

    where V0 is the wind speed at which computations are carried out, and x is represented by wind speed V.

    Various forms of structural damage may occur as a consequence of wind loads, including elastic or plastic deflections, causing deviations from the initial perfect geometry; crack initiation or crack extension; localized or extended plastic material behavior; and structural collapse under extreme conditions. For the tanks considered in this work, there are also operational consequences of structural damage, such as blocking of a floating roof due to buckling under wind loads that are much lower than the collapse load. For this reason, a damage study is interested in several structural consequences but also in questions of normal operation of the infrastructure. Several authors pointed out that there is no direct relation between structural damage and economic losses caused by an interruption of normal operation of the infrastructure.

    Types of damage are usually identified through reconnaissance post-event missions, for example following Hurricanes Katrina and Rita[6,7]. Damage states reported in Godoy[7] include shell buckling, roof buckling, loss of thermal insulation, tank displacement as a rigid body, and failure of tank/pipe connections. These are qualitative studies, in which damage states previously reported in other events are identified and new damage mechanisms are of great interest in order to understand damage and failure modes not taken into account by current design codes.

    In this work, in which interest is restricted to open top tanks having a wind girder at the top, four damage states were explored, as shown in Table 2. Regarding the loss of functionality of a tank, several conditions may occur: (1) No consequences for the normal operation of a tank; (2) Partial loss of operation capacity; (3) Complete loss of operation.

    Table 2.  Damage states under wind for open-top tanks with a wind girder.
    Damage states (DS)Description
    DS0No damage
    DS1Large deflections on the cylindrical shell
    DS2Buckling of the cylindrical shell
    DS3Large deflections on the stiffening ring
     | Show Table
    DownLoad: CSV

    DS1 involves displacements in some area of the cylindrical body of the tank, and this may block the free vertical displacement of the floating roof. Notice that this part of the tank operation is vital to prevent the accumulation of inflammable gases on top of the fluid stored. Blocking of the floating roof may cause a separation between the fuel and the floating roof, which in turn may be the initial cause of fire or explosion.

    DS2 is associated with large shell deflections, which may cause failure of pipe/tank connections. High local stresses may also arise in the support of helicoidal ladders or inspection doors, with the possibility of having oil spills.

    DS3 is identified for a loss of circularity of the wind girder. The consequences include new deflections being transferred to the cylindrical shell in the form of geometrical imperfections.

    In summary, DS1 and DS3 may affect the normal operation of a floating roof due to large shell or wind-girder deflections caused by buckling.

    Tank modeling was carried out in this work using a finite element discretization within the ABAQUS environment[33] using rectangular elements with quadratic interpolation functions and reduced integration (S8R5 in the ABAQUS nomenclature). Two types of shell analysis were performed: Linear Bifurcation Analysis (LBA), and Geometrically Nonlinear Analysis with Imperfections (GNIA). The tank perimeter was divided into equal 0.35 m segments, leading to between 315 and 550 elements around the circumference, depending on tank size. Convergence studies were performed and errors in LBA eigenvalues were found to be lower than 0.1%.

    The aim of an LBA study is to identify a first critical buckling state and buckling mode by means of an eigenvalue problem. The following expression is employed:

    (K0+λCKG)ΦC=0 (8)

    where K0 is the linear stiffness matrix of the system; KG is the load-geometry matrix, which includes the non-linear terms of the kinematic relations; λC is the eigenvalue (buckling load); and ΦC is the critical mode (eigenvector). For a reference wind state, λ is a scalar parameter. One of the consequences of shell buckling is that geometric deviations from a perfect geometry are introduced in the shell, so that, due to imperfection sensitivity, there is a reduced shell capacity for any future events.

    The aim of the GNIA study is to follow a static (non-linear) equilibrium path for increasing load levels. The GNIA study is implemented in this work using the Riks method[34,35], which can follow paths in which the load or the displacement decrease. The geometric imperfection was assumed with the shape of the first eigenvector at the critical state in the LBA study, and the amplitude of the imperfection was defined by means of a scalar ξ [10]. To illustrate this amplitude, for a tank with D = 45 m and H = 12 m, the amplitude of imperfection is equal to half the minimum shell thickness (ξ = 4 mm in this case).

    It was assumed that a damage level DS1 is reached when the displacement amplitudes do not allow the free vertical displacement of the floating roof. Based on information from tanks in the Patagonian region, the limit displacement was taken as 10 mm. This state was detected by GNIA, and the associated load level is identified as λ = λDS1.

    The load at which damage state DS2 occurs was obtained by LBA, leading to a critical load factor λC and a buckling mode. An example of damage levels is shown in Fig. 4.

    Figure 4.  Damage computed for a tank with D = 45 m and H = 12 m. (a) Deflected shape for damage DS1; (b) Equilibrium path for node A (DS1); (c) Deflected shape for damage DS2 (critical mode).

    An LBA study does not account for geometric imperfections. It is well known that the elastic buckling of shells is sensitive to imperfections, so that a reduction in the order of 20% should be expected for cylindrical shells under lateral pressure. This consideration allows to estimate DS0 (a state without damage) as a lower bound of the LBA study. An approach to establish lower bounds for steel storage tanks is the Reduced Stiffness Method (RSM)[3640]. Results for tanks using the RSM to estimate safe loads show that λDS0 = 0.5λDS2 provides a conservative estimate for present purposes.

    DS3 was computed using a linear elastic analysis to evaluate the wind pressure at which a 10 mm displacement of the wind girder is obtained.

    In a similar study for tanks with a fixed conical roof, Muñoz et al.[41] estimated a collapse load based on plastic behavior. However, in the present case the top ring has a significant stiffness, and this leads to extremely high wind speeds before reaching collapse (higher than 500 km/h). For this reason, the most severe damage level considered here was that of excessive out-of-plane displacements of the wind girder, and not shell collapse.

    The methodology to construct fragility curves has been presented by several authors[42,43]. The following procedure was adapted here[44]: (1) Establish qualitative damage categories (Table 2). (2) Compute a data base for different tanks, using LBA and GNIA. In each case, the damage category based on step (1) was identified (Table 3). (3) Approximate data obtained from step (2) using a log-normal distribution. (4) Plot the probabilities computed in step (3) with respect to wind speed x.

    Table 3.  Wind speed for each tank considered reaching a damage level.
    HDIDDS0DS1DS2DS3
    H12D351137.76162.06194.82336.02
    D402160.62181.31227.16360.73
    D453153.32174.19216.82374.04
    D504145.23165.27205.39373.76
    D555152.76180.83216.03374.75
    D606145.11170.75205.22370.98
    H14D357145.57162.05205.87295.03
    D408148.55166.20210.08311.24
    D459136.42153.72192.92334.54
    D5010155.36177.51219.71339.86
    D5511145.24165.34205.39343,17
    D6012141.89167.26200.67338.77
    H16D3513131.32161.94185.71262.20
    D4014146.95163.99207.82277.08
    D4515150.58170.90212.95293.37
    D5016138.97161.05196.54303.62
    D5517138.51174.17195.88313.97
    D6018156.34182.78221.10326.83
    H18D3519146.80160.79207.60223.18
    D4020159.01177.71224.87243.63
    D4521157.10179.51222.17265.32
    D5022152.54172.17215.72293.32
    D5523164.93188.10233.25305.94
    D6024163.69180.32231.49315.63
    H20D3525163.64199.59231.42195.03
    D4026171.24195.14242.18216.47
    D4527171.58203.68242.64293.32
    D5028182.46209.43258.03259.41
    D5529178.95208.23253.07272.48
    D6030174.47196.11246.74290.86
     | Show Table
    DownLoad: CSV

    Wind speeds for each tank, obtained via Eqn (3), are shown in Table 3 for the pressure level associated with each damage level DSi. A scalar ID was included in the table to identify each tank of the population in the random selection process. Wind speed was also taken as a random variable, so that wind speed in the range between 130 and 350 km/h have been considered at 5 km/h increase, with intervals of −2.5 and +2.5 km/h.

    Out of the 30-tank population considered, a sample of 15 tanks were chosen at random and were subjected to random wind forces. The random algorithm allowed for the same tank geometry to be chosen more than once as part of the sample.

    The type of damage obtained in each case for wind speed lower or equal to the upper bound of the interval were identified. Table 4 shows a random selection of tanks, together with the wind speed required to reach each damage level. For example, for a wind speed of 165 km/h, the wind interval is [162.5 km/h, 167.5 km/h]. This allows computation of a damage matrix (shown in Table 5). A value 1 indicates that a damage level was reached, whereas a value 0 shows that a damage level was not reached. In this example, 13 tanks reached DS0; six tanks reached DS1; and there were no tanks reaching DS2 or DS3. The ratio between the number of tanks with a given damage DSi and the total number of tanks selected is h, the relative accumulated frequency. The process was repeated for each wind speed and tank selection considered.

    Table 4.  Random tank selection for V = 165 km/h, assuming wind interval [162.5 km/h, 167.5 km/h].
    IDDS0DS1DS2DS3
    11145.2165.3205.4343.2
    6145.1170.7205.2371.0
    3153.3174.2216.8374.0
    9136.4153.7192.9334.5
    28182.5209.4258.0259.4
    22152.5172.2215.7293.3
    13131.3161.9185.7262.2
    19146.8160.8207.6223.2
    3153.3174.2216.8374.0
    12141.9167.3200.7338.8
    30174.5196.1246.7290.9
    23164.9188.1233.2305.9
    2160.6181.3227.2360.7
    17138.5174.2195.9314.0
    11145.2165.3205.4343.2
     | Show Table
    DownLoad: CSV
    Table 5.  Damage matrix for random tank selection (V = 165 km/h), assuming wind interval [162.5 km/h, 167.5 km/h].
    DS0DS1DS2DS3
    1100
    1000
    1000
    1100
    0000
    1000
    1100
    1100
    1000
    1100
    0000
    1000
    1000
    1000
    1100
    Total13600
    hi0.870.400
     | Show Table
    DownLoad: CSV

    Table 6 shows the evaluation of the fragility curve for damage level DS0. This requires obtaining the number of tanks for each wind speed (fi), the cumulative number as wind speed is increased (Fi), and the frequency with respect to the total number of the sample of 15 tanks is written on the right-hand side of Table 6, for relative frequency (hi) and accumulated frequency (Hi).

    Table 6.  Damage DS0: Wind speed intervals [km/h] shown on the left; logarithm of wind speed; and relative and absolute frequencies (shown on the right).
    V inf
    (km/h)
    V m
    (km/h)
    V sup
    (km/h)
    Ln
    (Vm)
    fiFihiHi
    127.5130132.54.87000.0000
    132.5135137.54.91220.1330.133
    137.5140142.54.94130.0670.200
    142.5145147.54.98360.2000.400
    147.5150152.55.01170.0670.467
    152.5155157.55.044110.2670.733
    157.5160162.55.080110.0000.733
    162.5165167.55.112130.1330.867
    167.5170172.55.140130.0000.867
    172.5175177.55.160130.0000.867
    177.5180182.55.192150.1331.000
     | Show Table
    DownLoad: CSV

    With the values of mean and deviation computed with Eqns (5) & (6), it is possible to establish the log normal distribution of variable V for damage level DS0, usually denoted as P[DS0/V]. Values obtained in discrete form and the log-normal distribution are shown in Fig. 5a for DS0. For the selection shown in Table 6, the media is μ* = 5.03 and the deviation is σ = 0.09.

    Figure 5.  Probability of reaching a damage level P[DSi/V], (a) DS0, (b) DS0, DS1, DS2 and DS3.

    The process is repeated for each damage level to obtain fragility curves for DS1, DS2, and DS3 (Fig. 5b). Notice that the wind speeds required to reach DS3 are much higher than those obtained for the other damage levels. Such values should be compared with the regional wind speeds in Patagonia, and this is done in the next section.

    The oil producing regions in Argentina having the largest oil reserves are the Neuquén and the San Jorge regions, both located in Patagonia. This needs to be placed side by side with wind loads to understand the risk associated with such oil production.

    Figure 6 shows the geographical location of these regions. The Neuquén region includes large areas of four provinces in Argentina (Neuquén, south of Mendoza, west of La Pampa, and Río Negro). The San Jorge region is in the central Patagonia area, including two provinces (south of Chubut, north of Santa Cruz). Another area is the Austral region covering part of a Patagonian province (Santa Cruz).

    Figure 6.  Oil producing regions in Argentina. (Adapted from IAPG[47]).

    A map of basic wind speed for Argentina is available in the Argentinian code CIRSOC 102[45], which is shown in Fig. 7. Notice that the highest wind speeds are found in Patagonia, and affect the oil-producing regions mentioned in this work. For the Neuquén region, wind speeds range from 42 to 48 m/s (151.2 to 172.8 km/h), whereas for San Jorge Gulf region they range between 52 and 66 m/s (187.2 and 237.6 km/h).

    Figure 7.  Wind speed map of Argentina. (Adapted from CIRSOC 102[45]).

    The wind values provided by CIRSOC 102[45] were next used to estimate potential shell damage due to wind. Considering the fragility curves presented in Fig. 4, for damage levels DS0, DS1, DS2 and DS3 based on a log-normal distribution, it may be seen that it would be possible to have some form of damage in tanks located in almost any region of Argentina because CIRSOC specifies wind speeds higher than 36 m/s (129.6 km/h). The fragility curve DS0 represents the onset of damage for wind speeds higher than 130 km/h, so that only winds lower than that would not cause tank damage.

    Based on the fragility curves shown in Fig. 8, it is possible to estimate probable damage levels for the wind speed defined by CIRSOC. Because design winds in Patagonia are higher than 165.6 km/h (46 m/s), it is possible to conclude that there is 81% probability to reach DS0 and 25% to reach DS1.

    Figure 8.  Probability P[DSi/V] to reach damage levels DS1, DS2 and DS3 in tanks located in the Patagonia region of Argentina.

    For the geographical area of the Neuquén region in Fig. 6, together with the wind map of Fig. 7, the expected winds range from 150 to 172.8 km/h (42 to 48 m/s). Such wind range is associated with a DS0 probability between 41% and 92%, whereas the DS1 probability is in the order of 48%.

    A similar analysis was carried out for the San Jorge region, in which winds between 187.2 and 237 km/h (52 and 66 m/s). The probability of reaching DS1 is 87%, and the probability of DS2 is 88%. Wind girder damage DS3 could only occur in this region, with a lower probability of 18%.

    This work focuses on open top tanks having a floating roof, and explores the probability of reaching damage levels for wind loads, using the methodology of fragility curves. A population of 30 tanks was defined with H/D ratios between 0.2 and 0.6; such aspect ratios were found to be the most common in the oil producing regions of Patagonia. The data employed assumed diameters D between 35 and 60 m, together with height between 12 and 20 m. The tanks were designed using current API 650 regulations which are used in the region, in order to define the shell thickness and wind girder. All tanks were assumed to be empty, which is the worst condition for shell stability because a fluid stored in a tank has a stabilizing effect and causes the buckling load to be higher.

    Both structural damage (shell buckling) and operational damage (blocking of the floating roof due to deflections of the cylindrical shell) were considered in the analysis. The qualitative definition of damage levels in this work was as follows: The condition of no damage was obtained from a lower bound of buckling loads. This accounts for geometric imperfections and mode coupling of the shell. Shell buckling was evaluated using linear bifurcation analysis to identify damage level DS2. A geometrically non-linear analysis with imperfections was used to identify deflection levels that would block a floating roof, a damage level identified as DS1. Finally, deflections in the wind girder were investigated using a linear elastic analysis to define damage DS3.

    The present results were compared with the wind conditions of Patagonia, to show that several damage levels may occur as a consequence of wind speeds higher than 130 km/h, which is the expected base value identified for the region. The most frequent expected damage is due to the loss of vertical displacements of the floating roof due to large displacements in the cylindrical shell of the tank, and this may occur for wind speed up to 200 km/h. Damage caused by shell buckling may occur for wind speeds higher than 190 km/h, and for that wind speed, further damage due to displacements in the wind girder may also occur, but with a lower probability. This latter damage form requires much higher wind speed to reach a probability of 20%, and would be more representative of regions subjected to hurricanes.

    The number of tanks considered in the present analysis was relatively low, mainly because the aim of this work was to collect data to build a meta-model, i.e. a simple model that may estimate damage based on shell and load characteristics[46]. In future work, the authors expect to develop and apply such meta-models to a larger number of tank/wind configurations, in order to obtain more reliable fragility curves.

    Fragility studies for an oil producing region, like those reported in this work, may be important to several stakeholders in this problem. The fragility information links wind speed levels to expected infrastructure damage, and may be of great use to government agencies, engineering companies, and society at large, regarding the risk associated with regional oil facilities. At a government level, this helps decision makers in allocating funding to address potential oil-related emergencies cause by wind. This can also serve as a guide to develop further modifications of design codes relevant to the oil infrastructure. The engineering consequences may emphasize the need to strengthen the present regional infrastructure to reduce risk of structural damage and its consequences. The impact of damage in the oil infrastructure on society was illustrated in the case of Hurricane Katrina in 2005, in which a large number of residents had to be relocated due to the conditions created by the consequences of infrastructure failure.

    The authors confirm contribution to the paper as follows: study conception and design: Jaca RC, Godoy LA; data collection: Grill J, Pareti N; analysis and interpretation of results: Jaca RC, Bramardi S, Godoy LA; draft manuscript preparation: Jaca RC, Godoy LA. All authors reviewed the results and approved the final version of the manuscript.

    All data generated or analyzed during this study are included in this published article.

    The authors are thankful for the support of a grant received from the National Agency for the Promotion of Research, Technological Development and Innovation of Argentina and the YPF Foundation. Luis A. Godoy thanks Prof. Ali Saffar (University of Puerto Rico at Mayaguez) for introducing him to the field of fragility studies.

  • The authors declare that they have no conflict of interest.

  • Supplementary Table S1 Valuation of criteria's index class in Konya Subregion.
    Supplementary Table S2 Valuation of criteria's index class in Eastern Black Sea Subregion.
    Supplementary Table S3 The criterion weights calculated for DM1.
    Supplementary Table S4 Criteria weights calculated for DM2.
    Supplementary Table S5 Criteria weights calculated for DM3.
    Supplementary Table S6 Global and aggregated global weights according to the criterias.
    Supplementary Fig. S1 Distribution maps of criteria's index class in Konya Sub-Region.
    Supplementary Fig. S2 Distribution maps of critera's index class in Eastern Black Sea Sub-Region.
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  • Cite this article

    Türkeş M, Demi̇rağ Turan İ, Özkan B, Dengi̇z O. 2025. Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation. Soil Science and Environment 4: e001 doi: 10.48130/sse-0024-0002
    Türkeş M, Demi̇rağ Turan İ, Özkan B, Dengi̇z O. 2025. Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation. Soil Science and Environment 4: e001 doi: 10.48130/sse-0024-0002

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Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation

Soil Science and Environment  4 Article number: e001  (2025)  |  Cite this article

Abstract: The present study aimed to assess the potential of biogeographic regions focused on soil organic carbon within the Eastern Black Sea Sub-Region and the Konya sub-region of Türkiye. These Sub-Regions have various unique distinct physical geographical properties (climate, geomorphology, vegetation, hydrology, etc.), land use-land cover, and soil geography characteristics. The present study evaluates their capacity to produce their soil organic carbon (SOC) using the Stepwise Weight Assessment Ratio Analysis (SWARA) method. Because numerous environmental factors influence the potential for SOC production in various SOC-driven biogeographic zones, the degree to which these criteria influence and contribute to the creation of SOC varies. Determining these criteria's relative relevance is a difficult decision-making process. One strategy created to get around this challenge is the SWARA method. Additionally, soil organic carbon stock calculations were made in soil samples (3,440) taken from both sub-regions to validate model outputs obtained, and their spatial changes were compared with the model output. According to the results, the lowest RMSE values of interpolation models for Eastern Black Sea and Konya biogeographic sub-regions were determined 0.103 (Gaussian semivariogram model of Ordinary Kriging) and 0.474 (IDW-2). As for the SWARA model, it was found that the highest weighting value was for vegetation intensity whereas, pH sub-crietria has the lowest weighting value as 0.011. Moreover, while soil organic carbon contents of soils distributed in the Eastern Black Sea biogeographic sub-region vary between 19.52 tons C ha−1 and 156.32 tons C ha−1, they vary between 11.85 tons C ha−1 and 99.55 tons C ha−1 for the Konya biogeographic Sub-region. When the statistical relationship between soil organic carbon stock values and model results in soil samples taken from the sub-regions were checked for accuracy of the result obtained from estimation model, very high coefficient of determination (R2) values, such as the R2 value of 0.699 for the Eastern Black Sea biogeographic Sub-Region, and the R2 value of 0.697 for the Konya biogeographic sub-region, were found.

    • Soils, which are the basic resources of the world ecosystem, constitute an important element in the global carbon cycle (Grace, 2004; Lal, 2004). Soil organic carbon (SOC), comprising of micro- and macro-living organisms within the soil, constitutes a food source, particularly for microorganisms. Soil organic carbon enhances the soil structure and helps to regulate the physicochemical properties of the soil (Fontaine et al., 2007). Moreover, because soils play an essential role, constituting two-thirds of the Earth's carbon stock (Sclilesinger, 1997), soil carbon becomes very important in global climate regulation (Wu et al., 2021). Soil organic carbon as the most complex and least understandable among soil contents and identified soil organic carbon as animals, plants, microbial residues, and their excreta, secretions, partial decomposition products, and soil humus (Yu et al., 2017). According to the calculations of some research studies, the organic carbon content in a meter of soil depth ranges from approximately 1,500 to 2,000 Pg (Post et al., 1982; Eswaran et al., 1993). Recent new estimates confirm that the soil surface (the first three meters of the soil) may contain about 2344 Gt of organic carbon worldwide (Stockmann et al., 2013; Ma et al., 2021) showing that soils are the largest carbon stock of the terrestrial ecosystem (Tajik et al., 2020; Zeraatpisheh et al., 2022). Soil organic carbon is three times higher than in plants and twice higher than in the atmosphere (Wang et al., 2011). Therefore, knowing the soil organic carbon content potential for the terrestrial ecosystem is crucial.

      Numerous researchers have suggested that environmental variables such as altitude, temperature, land data, and the Normalized Difference Vegetation Index (NDVI), which is an indicator of vegetation density, can also be widely employed in predicting soil organic carbon (Yang et al., 2008; Tsui et al., 2013). For example, the destruction of vegetation due to land use changes can accelerate the loss of soil organic carbon content because of soil erosion (Saha & Kukal, 2015). Topographic factors (e.g., slope and aspect) impact soil biophysicochemical properties positively or negatively by changing vegetation cover, rainfall amount, and temperature (Buraka et al., 2022). Hence, it is essential to know the ecological characteristics of the field, such as climatic characteristics, topographic data, and vegetation, while determining soil organic carbon distributions. Especially when evaluating the soil organic carbon content and distribution of soils, it is seen that the soil organic carbon content decreases in areas where agricultural practices are carried out and the land use change reaches significant levels (Lal, 2014; Yılmaz & Dengiz, 2021). In their study conducted under semi-humid ecological conditions, the soil organic carbon content varied between 4.79 and 94.10 tons ha−1 in surface (0−20 cm) soils and between 5.16 and 8.86 ton ha−1 in subsurface (20−40 cm) soils (Yılmaz & Dengiz, 2021). Furthermore, the researchers found that the highest SOC stock amount in the surface soil was in forest lands with 53.3 tons ha−1, whereas the lowest SOC stock amount was in agricultural lands with 34.1 tons ha−1 among different land uses.

      There are numerous criteria that should be considered under climate, geo-topography, vegetation, and soil main dimensions in determining the soil organic carbon production potential of different soil organic carbon-focused biogeographic regions. The said criteria make different contributions to and have different levels of importance in affecting SOC formation. Determining the importance levels of these criteria is a complex decision-making process. The distribution of soil organic carbon in grasslands using a multi-criteria weighted regression approach (Wang et al., 2019). They utilized topographic data, climate data, and soil and vegetation data. Additionally, the researchers addressed the results of three spatial distribution methods in the distribution of soil organic carbon content and employed the multi-criteria weighted regression model (MWRM) for the distribution with the lowest error rate. Multi-criteria decision analysis (MCDA) methods yield faster, more accurate and reliable results in such complex decision-making processes. The Stepwise Weight Assessment Ratio Analysis (SWARA) method is among the MCDA methods allowing researchers to evaluate the importance degrees of criteria. The SWARA method was employed in determining the importance levels of criteria in the present study.

      The 2030 Agenda for Sustainable Development has adopted targets related to the restoration of degraded lands and the implementation of flexible and sustainable agricultural practices. Land Degradation Neutrality (LDN) targets have been set to monitor 'land cover', 'land productivity', and 'soil carbon stocks', which are considered as global indicators. Studies to determine the amount of soil organic carbon (SOC), monitor its temporal and spatial variability, and protect and increase the amount of stock have become overarching goals. Sustainable use of soils, which have the largest carbon reservoir in terrestrial ecosystems, depends on soil organic carbon management. This approach can significantly contribute to terrestrial ecosystem services and help reduce the adverse effects of climate change. In line with these objectives, studies conducted on a national scale are of international importance. Soil organic carbon content decreases in areas where agricultural practices are carried out and land use changes reach significant levels. The importance ratings of these criteria are complex decision-making processes. The SWARA method was used to determine the importance ratings of the criteria in this study.

      To date, no sufficient and detailed studies have been conducted on the determination, monitoring and balance of soil organic carbon stocks in different biogeographic regions or sub-regions in Türkiye. This study aims to evaluate the potential of soil organic carbon-based biogeographic regions in the Eastern Black Sea sub-region and Konya sub-region (Konya Closed Basin) of Türkiye using the Geographic Information System (GIS) based SWARA method. These regions possess distinct physical geographical properties (climate, geomorphology-topography, vegetation, hydrology, soil, etc.), land use (including agriculture), and soil geography characteristics. Additionally, SOC stock calculations were made in soil samples taken from both sub-regions to validate the model output obtained in the study, and their spatial changes were compared with the model output. This study will be also a reference source for the determination of SOC-focused biogeographic environments in different geographical regions in the following years and for studies on the soil organic carbon formation capabilities of biogeographic areas with different ecosystems and on determining the effect of land use-land cover and climate change on soil organic carbon.

    • The study field includes the Eastern Black Sea Sub-Region of the Black Sea Region and the Konya Sub-Region of the Central Anatolia Region (Fig. 1).

      Figure 1. 

      Location and elevation maps of the study areas: (a) Konya Sub-Region, (b) Eastern Black Sea Sub-Region.

      The Eastern Black Sea Sub-Region covers an area of approximately 4,776,700 ha, whereas the Konya Sub-Region covers an area of 4,349,700 ha. The Eastern Black Sea Sub-Region is between the coordinates of 39°47'34" N and 41°06'33" N latitudes and 37°41'56" E and 42°35'25" E longitudes, and the Konya Sub-Region is between the coordinates of 36°56'07" N and 39°11'22" N latitudes and 31°05'53" E and 34°42'37" E longitudes. The elevation of the Eastern Black Sea Sub-Region starts from sea level and goes up to 3,929.87 m, while the Konya Sub-Region starts from 878.09 m and goes up to 2,682.08 m elevation (Fig. 1).

      Considering the slope values, a large part of the Eastern Black Sea Sub-Region is sloped by more than 20%. In the valleys in the south, the slope values are low (Fig. 2a). In addition, major soil types are Alisols-Acrisols-Podzols in the Eastern Black Sea Sub-Region (FAO, 2014). In the Konya Sub-Region, the situation is different from the Eastern Black Sea Sub-Region. In most of the area, the slope value is less than 6% (Fig. 2b) and main soil types are Calcaric Cambisols and eutric Fluvisols in WRB soil classification (FAO, 2014).

      Figure 2. 

      Slope maps of the study areas: (a) Eastern Black Sea Sub-Region, (b) Konya Sub-Region.

      The Eastern Black Sea Sub-Region has a humid temperate mid-latitude climate according to all well-known climate classifications (FAO, 2014; Iyigün et al., 2013), and the every-season rainy Black Sea precipitation regime type is dominant (Türkeş & Tatlı, 2011). The temperature difference between summer and winter is not significant with relatively cool summers and warm winters on the coast, snowy and cold in the highlands. It rains during every season; annual mean air temperature is 13.0 °C, and the annual average total precipitation is 842.6 mm (Sensoy et al., 2023). The Konya Sub-Region is dominated by a semi-arid and dry subhumid steppe climate, with an annual mean air temperature of 10.8 °C and an annual mean total precipitation of 413.8 mm, and it is warm in summer and cold in winter (Turkes, 2020; Türkeş et al., 2013). The precipitation regime of the Konya Sub-Region is characterized by the continental Central Anatolia precipitation regime, where most of the annual precipitation falls during the spring and winter months (Türkeş & Tatlı, 2011). Most of the Konya Sub-Region also has the risk of desertification within the severity class ranging from medium-moderate to high-moderate, according to decision-based analyses based on both multivariate climatological-hydroclimatological and analytical hierarchy processes (AHP) (Türkeş et al., 2011; Türkeş, 2021).

      Considering the traditional biogeographic regions of Türkiye (Türkeş, 2021; Yılmaz & Dengiz, 2021), mainly the Colchic flora of the Paleoboreal European (or Euro-Siberian) floristic region, characterized by very humid-temperate forests, also known as rainforests of Türkiye, and a unique fauna adapted to this climate-vegetation association are dominant in the Eastern Black Sea Sub-Region of Türkiye's Black Sea Region. On the other hand, in the Konya Sub-Region of Türkiye, the Paleoboreal Turan-Ancient Asia steppe flora and a unique fauna that has adapted to this climate-vegetation association are dominant. This floristic sub-region is located within the Central Anatolian Phytogeography section of Iran-Turanian Phytogeographical Region. Based on these evaluations, in line with the purposes of this study, the Eastern Black Sea and Konya sections were named the Eastern Black Sea and Konya biogeographic sub-regions or sections, respectively (Davis, 1971).

      The land use and land cover (LULC) of the study area was produced in CORINE 2018 (CORINE, 2018). Considering the LULC distribution of the regions, the largest area in the Eastern Black Sea humid temperate forest biogeographic section is covered by sparsely planted areas, with an area of 702,300 ha (Fig. 3, Table 1). Sparsely planted areas lie in the southern part of the study area. In the coastal area, there are hazelnut farming areas, which are defined as fruit trees and fields, according to CORINE, 2018.

      Figure 3. 

      Land use land cover map of the Eastern Black Sea Sub-Region (CORINE, 2018).

      Table 1.  Proportional distribution of land use/ land cover map of the Eastern Black Sea Sub-Region.

      Land use/land cover Area (ha) Ratio (%) Land use/land cover Area (ha) Ratio (%)
      Continuous urban fabric 36.0 0.1 Complex cultivation patterns 2,794.0 5.8
      Discontinious urban fabric 239.0 0.5 Land principally occupied by agriculture with 4,614.0 9.7
      Industrial or commercial units 27.0 0.1 Broad-leaved forest 4,279.0 9.0
      Roas ans rail networks and associated land 22.1 0.0 Coniferous forest 4,914.0 10.3
      Port areas 1.0 0.0 Mixed forest 5,438.0 11.4
      Airports 1.0 0.0 Natural grasslands 2,043.0 4.3
      Mineral extraction sites 40.0 0.1 Transitional woodlans/shrub 5,560.0 11.6
      Dump sites 0.2 0.0 Beaches, dunes, sands 22.0 0.0
      Construction sites 25.0 0.1 Bare rocks 1,789.0 3.7
      Sport and leisure facilities 0.1 0.0 Sparsely vegetated areas 7,023.0 14.7
      Non-irrigated arable land 2,335.5 4.9 Inland marshes 18.0 0.0
      Permanently irrigated arandla land 895.0 1.9 Annual crops associated with permanent crop 0.1 0.0
      Fruit trees and berry plantations 4,434.0 9.3 Water bodies 209.0 0.4
      Pastures 1,008.0 2.1 Total 47,767.0 100.0

      According to CORINE 2018, the permanently irrigable land in the Konya semiarid step biogeography has the biggest distribution, with an area of 788,000 ha (Fig. 4, Table 2). It is distributed in the central part of the study area. This area is followed by sparsely planted areas, with an area of 701,900 ha.

      Figure 4. 

      Land use land cover map of the Konya Sub-Region (CORINE 2018).

      Table 2.  Proportional distribution of land use land-cover map of the Konya Sub-Region.

      Land use/Land cover Area (ha) Ratio (%) Land use/Land cover Area (ha) Ratio (%)
      Continuous urban fabric 33.0 0.1 Complex cultivation patterns 1,063.0 2.4
      Discontinuous urban fabric 826.0 1.9 Land principally occupied by agriculture with
      significant areas natural vegetation
      2,241.0 5.2
      Industrial or commercial units 222.0 0.5 Broad-leaved forest 365.0 0.8
      Road and rail network and associated land 4.0 0.0 Coniferous forest 318.0 0.7
      Airports 22.0 0.1 Mixed forest 107.0 0.2
      Mineral extraction sites 65.0 0.1 Natural grasslands 6,009.0 13.8
      Dump sites 10.0 0.0 Sclerophylous vegetation 94.0 0.2
      Construction sites 28.0 0.1 Transitional woodlans/shrub 3,167.0 7.3
      Green urban areas 4.0 0.0 Beaches, dunes, sands 4.0 0.0
      Sport and leisure facilities 6.0 0.0 Bare rocks 261.0 0.6
      Non-irrigated arable land 3,530.0 8.1 Sparsely vegetated areas 7,019.0 16.1
      Permanently irrigated land 7,880.0 18.1 Inland marshes 543.0 1.2
      Rice fields 8.0 0.0 Salt marshes 2,536.0 5.8
      Vineyards 41.0 0.1 Salines 89.0 0.2
      Fruits trees and berry plantations 270.0 0.6 Water bodies 2,456.0 5.6
      Pastures 4,276.0 9.8 Total 43,497 100.0
    • To represent two biogeographic sub-regions with different characteristics in terms of physical geography including climate, geomorphology-topography, vegetation, and soil characteristics, a total of 3,440 soil samples were collected at depths of 0–30 cm. Of the soil samples, 2595 belong to the Eastern Black Sea biogeographic sub-region, and 845 are distributed within the Konya biogeographic sub-region (Fig. 5a & b).

      Figure 5. 

      Spatial distribution patterns of soil samplings over the study areas: (a) Black Sea Sub Region, (b) Konya Sub-Region.

      To determine the physical and chemical properties of the soil samples, they were prepared for analysis after pretreatment (coarse parts and plant residues were removed, soils that were air-dried under laboratory conditions were beaten with a wooden mallet and sieved through a 2 mm sieve). The methods adopted in the physical and chemical study of soils were determined according to the methodologies in the literature shown in Table 3.

      Table 3.  Methods applied for the analysis of soil physical and chemical properties.

      Parameter Unit Procedure Ref.
      Texture
      (clay, silt, and sand)
      % Hydrometer method Bouyoucos, 1951
      pH 1:1 Soil-water suspension (w:v) Soil Survey Staff, 1992
      EC dS m−1 Soil-water suspension (w:v) Soil Survey Staff, 1992
      CaCO3 % Calcimetric method Soil Survey Staff, 1992
      Organic matter % Walkley-Black method Nelson & Sommers, 1982
      BD g cm−3 Undisturbed condition Blacke & Hartge, 1986

      To determine the amount of organic carbon stored in tons per hectare (i.e., carbon stock), the following formula was used for a 30 cm soil depth (Eqn 1):

      SOC=(1δi%)×ρi×Ci×Ti100 (1)

      where, SOC, amount of soil organic carbon (ton ha−1); δi%, amount of coarse fraction greater than 2 mm in percent; ρi, volume weight (g cm−3); Ci, amount of organic carbon (%), and Ti, depth of a soil sample.

    • The study aimed to determine the potential of two different SOC-driven biogeographic sub-regions to produce soil organic carbon. Various methodologies including SWARA and geostatistics were used to overcome the complex ecological structure of nature. Figure 6 shows the modeling architecture to reveal the relationships among the methods used in the study. The study consisted of four main steps: creation of the modelling structure, selection of significant main criteria and sub-criteria, indexing of sub-criteria, weighting of the SWARA model, and data processing to test the verifications with real SOC stock data. The results were then evaluated. Environmental factors can affect the ability of biogeographic regions to form soil organic carbon. The study identified four main criteria and 18 sub-criteria to determine the potential of SOC-driven biogeographic sections to produce soil organic carbon. The most effective environmental indicators were found to be annual mean temperature and precipitation. The study also revealed that some environmental factors are determinants of soil organic carbon stock. In the last stage, the results acquired from the data analysis process were evaluated.

      Figure 6. 

      The modelling architecture designed to determine the biogeographical regions.

      Numerous environmental factors can affect the ability of biogeographic regions with different ecosystems to form soil organic carbon. In their study, evaluated soil organic carbon according to environmental factors (Lamichhane et al., 2022). They used soil data, annual, seasonal, and coldest quarterly temperature and precipitation data, land data produced from the numerical elevation model, and plant index values produced from Landsat satellite images in their study. They produced soil organic carbon estimation maps in agricultural soils via different models used by considering these factors. Likewise, they addressed environmental factors as they did and determined six of the 27 environmental factors as climate factors in mapping soil organic carbon Lamichhane et al., 2022; Song et al., 2020). In this study, regarding the potential of SOC-driven biogeographic sections to produce soil organic carbon, four main criteria and 18 sub-criteria were determined. The main climate criterion refers to the sub-criteria of annual aridity index, annual average number of rainy days, warm period average number of rainy days, annual average maximum air temperature, and warm period average maximum air temperature. The main geo-topography criterion refers to the sub-criteria of main soil material, slope, slope exposure, and elevation indicators. The main vegetation criterion refers to the sub-criteria of land use/land cover and NDVI indicators. The main soil criterion refers to the sub-criteria of soil depth, organic matter, soil erosion using RUSLE, pH, lime, dry bulk density, and texture. These specific criteria were determined and classified based on the criteria specified in the literature and the characteristics of the study area. For example, NDVI, annual precipitation, annual average temperature, altitude, and humidity criteria for vegetation intensity by evaluating soil organic carbon with environmental variables (Wang et al., 2019). In this study, while creating a soil organic carbon map, a multi-factor weighted regression model was established. By using the multi-factor weighted regression model, the researchers observed that the most effective environmental indicator was annual average temperature and, secondly, precipitation. they expressed some environmental factors as determinants of soil organic carbon stock (Bahri et al., 2022). Among these factors, they determined annual trends (e.g., average annual temperature, annual precipitation), seasonality (e.g., temperature and precipitation), and extreme or restrictive environmental factors (e.g., the temperature of the coldest and hottest months, and precipitation of wet and dry quarters) as bioclimatic factors. In the study, the sub-criteria of the main material, altitude, slope, and slope exposure were discussed as the sub-criteria of geo-topography criteria for different biogeographic areas, which might have an effect on SOC. Concerning the main soil criterion, soil organic matter, soil erosion, pH, lime content, volume weight, and texture properties of soils are the soil sub-criteria effective in the change in the amount of soil organic carbon. Moreover, the CORINE 2018 classification system and NDVI were taken into account to determine the land use-land cover and vegetation intensity of the study areas.

      In the study, sub-criteria were designated by considering the main criteria in the literature and adding new criteria, and a score between 1 and 4 was given in compliance with the study area. In this scoring, 1 was the lowest value, and 4 was the highest value. Values between 1 and 4 vary depending on the degree of vulnerability of SOC in the biogeographic area of the relevant sub-criterion (Table 4).

      Table 4.  Main criteria, sub criteria, and their index values.

      Class Index
      C1. Climate
      C1.1. Annual Aridity Index 0.20−0.50 (semi-arid) 1
      0.50−0.65 (dry-subhumid) 2
      0.65−1.0 (semi-humid) 3
      > 1.0 (humid and very humid) 4
      C1.2. Annual average number of rainy days 50−80 (low) 1
      80−10 (moderate) 2
      110−140 (high) 4
      140−170 (very high) 3
      C1.3. Dry period (May to September) average number of rainy days 13−26 (low) 1
      26−39 (moderate) 2
      39−52 (high) 3
      52−65 (very high) 4
      C1.4. Annual average maximum air temperature (°C) 13.5−15.0 (cool) 3
      15.0−16.5 (warm) 4
      16.5−18.0 (hot) 2
      18.0−19.5 (very hot) 1
      C1.5. Warm period (May to September) average maximum air temperature (°C) 22−24 (warm) 4
      24−26 (very warm) 3
      26−28 (hot) 2
      28−30 (very hot) 1
      C2. Geo-topography
      C2.1. Parent material - Alluvial deposits 1
      - Basic-ultrabasic magmatics, melange, ophiolitic and serpentine, shale, metamorphic rocks such as schist, phyllite clay stone, marl. 2
      - Siltstone, mudstone, conglomerate, travertine, limestone, dolomite, marble 3
      - Acid magmatic, cherty, gneiss, dunes, volcanic ashes, tuff, agglomerate, breccia, evaporates, pebble stone, sand stone 4
      C2.2. Slope (%) 0−5 4
      5−15 3
      15−35 2
      35−+ 1
      C2.3. Aspect East 1
      South 2
      West 3
      North 4
      C2.4. Elevation (m) 0−250 4
      250−750 3
      750−1,500 2
      1,500−+ 1
      C3. Vegetation
      C3.1. Land use / Land cover Artificial areas 1
      Agriculture 2
      Pasture 3
      Forest 4
      C3.2. Vegetation intensity (%) < 25 (very low) 1
      25−50 (low) 2
      50−75 (moderate) 3
      75+ (very high) 4
      C4. Soil
      C4.1. Soil depth (cm) 0−20 1
      20−50 2
      50−90 3
      90−+ 4
      C4.2. Organic matter (%) < 1 1
      1−2 2
      2−3 3
      > 3 4
      C4.3. Erosion (ton/ha/year) 0−5 4
      5−10 3
      10−20 2
      20−+ 1
      C4.4. pH 6.5−7.5 Slightly acid or alkaline 4
      5.5−6.5 Slightly to moderate acid 3
      7.5−8.5 Slightly to moderate alkaline 2
      < 5.5 − > 8.5 Strong acid or alkaline 1
      C4.5. Lime content - CaCO3 (%) 0−5 (low) 2
      5−10 (moderate) 4
      10−20 (high) 3
      > 20 (very high) 1
      C4. 6. Bulk density (g cm3) 1.00−1.20 (low) 4
      1.21−1.40 (moderate) 3
      1.41−1.55 (high) 2
      > 1.55 (very high) 1
      C4.7. Soil texture Fine (C < %45, CL, SiL, SCL) 4
      Very fine (fC > %45, SiCL, SC) 3
      Medium (L, Si, SiL, fSL) 2
      Coarse (S, SL, LS) 1
    • The potential of different soil organic carbon-focused biogeographic regions to produce soil organic carbon depends on many environmental criteria. These criteria have different levels of contribution and effect on soil organic carbon formation. Identifying the importance levels of these criteria is a complex decision-making process. The SWARA method is one of the approaches developed to overcome this difficulty.

      The SWARA method was firstly proposed by Keršulienė et al. (2010). In the method, the criteria to be used in evaluating alternatives are listed from significant to insignificant, and insignificant criteria are eliminated by voting. When calculating the significance weights of the remaining criteria, the order created by each decision-maker is taken into account (Keršulienė et al., 2010). The process of determining the relative weights of criteria using the SWARA method can be accurately shown using the following steps:

      Step 1. The criteria are sorted in descending order based on their expected significance.

      Step 2. Starting from the second criterion, the respondent expresses the relative importance of criterion j in relation to the previous (j−1) criterion, for each particular criterion. According to Keršulienė et al. (2010), this ratio is called the comparative importance of average value, sj.

      Step 3. Determine the coefficient kj as follows:

      kj={1j=1sj+1j>1 (2)

      Step 4. Determine the recalculated weight vj as follows:

      vj={1j=1vj1kjj>1 (3)

      Step 5. The relative weights of the evaluation criteria are determined in the following way:

      wj=vjnj=1vj (4)

      where, wj denotes the relative weight of criterion j.

      After the significance levels of the parameters were determined, the Weighted Linear Combination (WLC) method was employed to create the vulnerability maps of biogeographic sub-regions on SOC production. A number of multicriteria methods have been implemented in the GIS environment including weighted linear combination. In addition, among these procedures, the WLC method is considered the most straightforward and most often employed. The WLC model has traditionally been used as a global approach based on the implicit assumption that its parameters do not vary as a function of geographical space. WLC is also known as simple additive weighting (SAW), weighted addition, weighted linear mean, and weighted overlap (Malczewski & Rinner., 2015). In the WLC method, the soil SOC vulnerability values are calculated according to the following equation:

      BGIi=lk=1wkaik (5)

      where, BGIi represents the biogeography index value at point i; wk represents the relative significance level of indicator k, aik represents the standard value of region i under indicator k, and l represents the total number of parameters (Elalfy, 2010).

    • The study analyzed 3440 soil samples from two biogeographic sub-regions using SPSS software to calculate descriptive statistics of soil physicochemical properties. Spatial distribution maps of 18 sub-criteria were produced and different interpolation models were used to identify distance-dependent variability in SOC stock values. Deterministic approaches such as inverse distance weighting, radial function and school kriging were used to produce distribution maps. The statistical approach with the lowest RMSE value was evaluated as the most appropriate technique.

      The transformations of the samples, which did not show a normal distribution prior to mapping, were completed, and mapping procedures were carried out using deterministic approaches such as Inverse Distance Weighting (IDW), Radial Based Function (RBF), and the scholastic Kriging (Ordinary, Simple and Universal) approach to produce distribution maps. In the spatial distribution maps produced with the 'ArcGIS 10.2.2 Geostatistical Extension' software, the mean error (ME) of the estimation and the standardized root-mean-square error (RMSE) of the estimation were used. In the map created, if the mean error of the estimation was close to 0 and the standardized RMSE of the estimation was close to 1, it was considered a smooth control in terms of the accuracy of the map (Johnston et al., 2001). In this study, the statistical approach yielding the lowest RMSE value was evaluated as the most appropriate technique. In the calculation of RMSE, Eqn (6) was used.

      RMSE=(zizi)2n (6)

      where, Zi* indicates the estimated value; Zi indicates the measured value, and n refers to the number of samples.

      The lowest RMSE value were determined as RBF and Kriging models as the most appropriate method.

    • In the study, some physical and chemical analyses of 2595 soil samples taken from the Eastern Black Sea biogeographic section and 845 soil samples taken from the Konya biogeographic section were carried out. Table 5 contains the descriptive statistical results obtained from these analyses. The soils of the Eastern Black Sea sub-region generally have a strong acidic nature. pH values vary between 3.14 and 8.50. The clay content of soils varies between 1.81% and 69.44%, silt content between 1.10% and 71.76%, sand content between 5.01% and 87.37%, and texture classes are mostly loam, silty loam, and sandy loam. In soil samples, the organic matter (OM) value changed significantly and ranged between 0.02% and 14.66%. The bulk density (BD) varied between 0.82 and 2.31 g cm−3. Moreover, most soils in the study area had pedogenic CaCO3 minimum and maximum CaCO3 values ranging from 0.01% to 64.98%. While the clay and silt contents of the soils showed a normal distribution statistically, it was revealed that sand, OM, CaCO3, BD, pH, and C did not show a normal distribution in the selected soil samples.

      Table 5.  Descriptive statistics for physico-chemical properties of soils in the Eastern Black Sea Sub-region.

      Criteria Mean SD CV Variance Min. Max. Skewness Kurtosis
      BD (g cm−3) 1.41 0.12 1.49 0.01 0.82 2.31 −1.17 3.68
      OM (%) 3.44 2.17 14.64 4.71 0.02 14.66 1.13 1.56
      Clay (%) 22.57 12.54 69.44 157.45 1.81 69.44 0.39 −0.14
      Sand (%) 47.00 17.93 87.37 321.69 5.01 87.37 −0.62 0.52
      Silt (%) 25.53 10.27 71.76 105.59 1.10 71.76 −0.22 1.26
      pH 4.84 2.74 8.50 7.50 3.14 8.50 −0.78 −0.72
      CaCO3 (%) 3.82 7.45 64.98 55.6 0.01 64.98 2.75 8.50
      C (ton ha−1) 81.68 53.99 350.92 2914.97 0.46 351.38 1.27 2.10
      BD: Bulk density, SD: standard deviation, CV: coefficient of variation, Min: Minimum, Max: Maximum.

      Similar results were obtained in different studies on the Black Sea Sub-Region. Özyazıcı et al. (2016) reported in their study on the Central and Eastern Black Sea Sub-Regions that 75.30% of the analysis results were loam, silty loam, and sandy loam. They also stressed that 45% of the samples were acidic. Furthermore, in their study, they encountered sandy loam, sandy clay loam, clay loam, and loam textures and obtained low pH values (Özyazıcı et al., 2013). The coefficient of variation is evaluated as an important factor in defining the variability of soil properties (Mulla & McBratney, 2000; Dengiz, 2020). If the coefficient of variation is below 15%, between 15% and 30%, or above 30%, variability is defined as low, moderate, or high variation, respectively. As seen in this study, clay, sand, silt, CaCO3, and C have the highest CVs for the selected soil samples, whereas OM, BD, and pH have low CVs. In a study by Kaya et al. (2022), they concluded that, regarding the coefficient of variation changes, clay, sand, silt, and CaCO3 have the highest CVs in terms of soil properties, while OM, BD, pH, and EC have low CVs.

      The soil results of the Konya biogeography Sub-Region differ considerably from the Eastern Black Sea biogeography Sub-Region. Both the difference in climate and the difference in topographic properties constitute this variability. The soils of the Konya Sub-Region generally have alkaline reaction; few of them have mild acidity in the soils. The pH values of the soils vary between 6.76 and 8.43. The clay content of soils varies between 3.62% and 80.94%, silt content between 1.59% and 70.03%, and sand content between 1.38% and 92.14%, and texture classes are mostly loam, silty loam, and sandy loam. The OM value of the soils distributed in the Konya sub-region exhibited significant differences, ranging from 0.09% to 9.80%. Therefore, depending on the organic matter content and texture properties of the soils, the bulk density values are also quite variable, ranging from 1.10 to 1.81 g cm−3. The sand, silt, CaCO3, pH, and BD contents of the soils showed a normal distribution, whereas it was found that OM, clay, and C did not show a normal distribution in the selected soil samples. While clay, sand, silt, CaCO3, and C have the highest CVs for the selected soil samples, as in the Eastern Black Sea sub-region, OM, BD, and pH have low CVs (Table 6). A previous study was conducted on soil quality in the Konya Closed Basin, which has similar characteristics (Demirağ Turan, 2021). In this study, it was concluded that the majority of the area had a slightly alkaline nature in terms of pH, and high lime soils covered an area of 3,402 ha (63.175%) in lime distribution.

      Table 6.  Descriptive statistics for physico-chemical properties of soils in the Konya Sub-Region.

      Criteria Mean SD CV Variance Min. Max. Skewness Kurtosis
      OM (%) 1.70 1.12 9.71 1.27 0.09 9.80 2.33 8.69
      Clay (%) 30.37 13.51 77.32 182.71 3.62 80.94 0.62 0.41
      Sand (%) 40.34 16.65 90.76 277.55 1.38 92.14 0.32 0.13
      Silt (%) 29.28 10.59 68.44 112.21 1.59 70.03 0.34 0.88
      BD (g cm−3) 1.34 0.14 0.71 0.02 1.10 1.81 0.35 −0.56
      pH 7.51 0.31 2.27 0.10 6.76 8.43 −0.46 1.57
      CaCO3 (%) 26.27 17.71 84.50 313.86 0.01 84.50 0.50 −0.47
      C (ton ha−1) 36.33 26.63 266.56 709.16 2.12 268.66 2.88 12.52
      BD: Bulk density, SD: standard deviation, CV: coefficient of variation, Min: Minimum, Max: Maximum.
    • The distribution ratios of the sub-criteria addressed for the Konya biogeographic section (Supplementary Table S1), and their maps are presented in Supplementary Fig. S1. While more than half of the biogeographic region is in the semiarid class, whose index value is shown as 1 among the climate criteria, one-third of the total area is in the dry-subhumid class. Likewise, while the annual average number of rainy days and dry period average number of rainy days are in the low class with an index value of 1 in the majority of the area, the annual average maximum air temperature is in the very hot and hot classes with index values of 1 and 2, and the warm period (May-September) average maximum air temperature is in the hot class with the lower index value of 2. In terms of geo-topographic properties, alluvial deposits and the main lithology that consists of basic-ultrabasic magmatic and siltstone, mudstone, conglomerate, travertine, and limestone are widely distributed in the area. The area is located at sea level between 750 and 1,500 m, the vast majority of which (about 68.9%) consists of almost flat and slightly steep slopes with a degree of less than 15%. Land use-land cover and vegetation intensity were addressed as vegetation criteria. About 55.5% of the total area constitutes agricultural lands and artificial areas, while approximately 32.3% constitutes pasture areas. Moreover, considering the vegetation cover rates of the area, it has been revealed that approximately 80.6% of it is covered by low and very low vegetation. In a previous study on desertification risk assessment in Türkiye based on environmentally sensitive areas, it was reported that high-intensity vegetation areas were mostly located in the Black Sea, Mediterranean, and Eastern Anatolia regions, whereas areas with a very low vegetation cover density were especially common in the Central Anatolia and Southeastern Anatolia regions of Türkiye (Uzuner & Dengiz, 2020).

      Depth, organic matter, erosion, pH, CaCO3 content, volume weight, and texture were specified as the soil sub-criteria affecting the amount of soil organic carbon stock in biogeographic areas. It has been determined that the soil erosion caused by the low slope in most of the area and the water carrying the soil is in classes 3 and 4 with low and very low index values in about 15.2% of the area. Although the area soils usually have a depth of 50−90 cm and more than 90 cm, there are shallow areas with an index value of 1 in the sloped lands in the southwestern and western parts of the area. Low precipitation and a high number of hot periods lead to less vegetation in the area. This causes the amount of organic matter to be less than 2% in most of the area soils. The lime content of the soils is moderate and high and has an alkaline reaction. The area soils are generally distributed in loam, clay loam, and clay textured classes.

      The distribution ratios of the sub-criteria discussed for the Eastern Black Sea biogeographic section (Supplementary Table S2), and their maps are presented in Supplementary Fig. S2. Among the climate sub-criteria discussed, annual Aridity Index was in the humid and very humid class with an index value of 4 in 76.1% of the total area, while, in 86.5%, the annual average number of rainy days criterion had the index values of 2 and 4, indicating moderate and high levels. Moreover, the climate sub-criteria of dry period (May to September) average number of rainy days and warm period (May to September) average maximum air temperature were determined as moderate and high and warm and very warm, respectively, in the vast majority of the area. In a previous study on determining Türkiye's vulnerable areas in terms of desertification, it elucidated that areas with very low quality climate classes were mostly concentrated in the Central and Southeastern Anatolia regions, whereas areas with high quality climate classes were distributed in the Black Sea and Western Mediterranean regions of Türkiye (Uzuner & Dengiz, 2020).

      The Black Sea biogeographic Sub-Region mostly has a mountainous topography, and most sloped areas have index values of 3 and 4 referring to steep and highly steep classes with a slope value higher than 15%, whereas a very small area (about 12.9%) is almost flat and slightly sloped. While the coastline is approximately 0−250 m above sea level and 750 m high, mountainous areas can exceed 1,500 m. Whereas the sub-region is settled on alluvial sediments that characterize geomorphological units such as coastal plain, flood-delta plain, terrace and aluvial cones along the coastline, other areas mostly consist of basic-ultrabasic magmatic and eruptions, melange, ophiolitic and serpentine, shale, metamorphic rocks such as schist, phyllite clay stone, and marl rocks. Of the area, 72.4% is covered with pasture and forest lands, and there are few plowable agricultural lands. While 37.4% of the area has moderate and high canopy cover rates, approximately one-third (29.8%) has poor canopy cover rates. The high amount of precipitation and vegetation also influences the amount of soil organic matter, and the amount of organic matter is more than 3%, particularly in the northern parts of the section (85.5% of the total area). Although the high rates of canopy cover cause the soil erosion in the area to be distributed at low levels, the annual amount of soil carried in an area of 6,759.1 ha, which is particularly sloping and poor in terms of vegetation, is more than 20 tons. While the soil texture of the area generally consists of clay and clay-loam (clay and loam) with fine texture in the northern parts, it is comprised of sandy loam, loam, and loamy sand with coarse texture in the southern parts. Since the northern parts of the area have high precipitation, calcium carbonate and basic cations are washed, and soils are formed on the main basalt lithology. The reactions of the soils distributed in this region usually vary between highly acidic and slightly acidic. The soils formed on the main materials such as marl and limestone in very few places in the southern part of the area have slightly alkaline reaction.

    • A total of 18 sub-criteria were determined under four main factors for estimating the potential of two different SOC-focused biogeographic sections to produce soil organic carbon. In the study, the SWARA method, which has been frequently used in the literature in recent years, was employed to calculate the significance levels. In practice, a decision-making team of three was formed to compare the criteria in pairs. The criteria weights obtained as a result of evaluating each decision-maker were calculated separately. The final weights were obtained by taking the arithmetic mean of the criteria weights obtained as a result of the evaluations of all decision-makers (DMs). In this section of the study, the steps of SWARA methods will be discussed through the evaluations made by DM1 for the main criteria. The evaluations made by DM1 for all criteria and the values obtained in the implementation steps of the SWARA method are presented in Supplementary Table S3. Because the number of criteria was high, the evaluations made by DM2 and DM3 and the values obtained in the implementation of the method are quite high, they are given in Supplementary Tables S4 & S5).

      The first stage in the implementation of the SWARA method is the ranking of the criteria by decision-makers and the determination of the relative significance scores (sj). For example, DM1 listed the main criteria as C1, C3, C4, and C2, respectively. Then, a pairwise comparison was made between criterion C1 and criterion C3 according to this ranking and gave the value of 0.55. This value means that criterion C1 is 55% more significant than criterion C3. Then, a value of 0.30 was given by comparing criterion C3 and criterion C4. At this stage, the value of 0.40 by comparing criterion C4 and criterion C2 was finally given. The rankings and relative significance scores of DM1 for all criteria are specified in the first and second columns of Supplementary Table S3. According to the assessment, the climate had the highest ratio with 0.401 among the four main criteria, while the lowest ratio with 0.142 was determined for topography. It was determined the climate as the criterion with the highest ratio, 0.356, in the weighting processes performed within the seven main criteria (climate, water, soil, land use-land cover, topography, socio-economy, and management) discussed in the desertification model study for Türkiye performed by Davis, 1971.

      At the second stage of the SWARA model, Eqn (1) was used to calculate the importance vector (kj) of each criterion. The kj values obtained by using Eqn (1) as a result of the evaluations of DM1 are given in the third column of Supplementary Table S3. At the third stage of the method, recalculated weights (vj) were computed using Eqn (2). The computed vj values are given in the fourth column of Table 1. Here, thevj value of C1 is calculated as 1 according to Eqn (2). The calculated vj value of C3 was calculated as 1/1.55, the vj value of C4 as 0.645/1.3, and the vj value of C2 as 0.496/1.4.

      At the last stage of the method, the relative weights (wj) of each criterion were calculated using Eqn (4). The wj values of each criterion are included in the fifth column of Supplementary Table S3. Here, the local weights of the criteria were calculated by applying the application steps explained over the main criteria for all criteria. Local weights are the weight values between the sub-criteria under each main criterion. The sum of the local weights of the sub-criteria under each main criterion is 1. To obtain the global weights of the criteria, each sub-criterion is multiplied by the weight of the main criterion it belongs to. For example, for DM1, the local weight of sub-criterion C1.1 was obtained by multiplying 0.401 by 0.176. The global weights of all sub-criteria were calculated similarly by applying these procedures to all sub-criteria. The global weights of the sub-criteria formed as a result of each decision-maker's evaluation are presented in the second, third, and fourth columns of Supplementary Table S6.

      Following all the process steps applied, the arithmetic mean of the global weights calculated for each decision-maker was taken, and consensual global weights were obtained. When the criteria weights are examined, it is found that C4.5 (lime content), C4.4 (soil reaction-pH), and C4.6 (bulk density) sub-criteria, which belong to the main criterion of soil, have the lowest level of significance, respectively. On the other hand, it was determined that C3.2 (vegetation intensity), C3.1 (land use-land cover), C1.2 (annual average number of rainy days), and C1.3 (dry period -May to September, average number of rainy days) sub-criteria, which belong to the main criteria of climate and vegetation that can be considered as dynamic factors, had the highest level of significance, respectively. At the further stages of the study, the consensual global weights in the fifth column of Supplementary Table S6 were used as criterion weights. This result is in parallel with the approaches used in studies on many terrestrial ecosystems such as drought, land degradation and desertification, and soil organic carbon stock related to SOC-focused biogeographic areas. For example, the study by Türkeş (2013) primarily focused on the climate type, climate variability and seasonality, and aridity characteristics and the conditions that drive the desertification factors and processes in Türkiye and determined the 'severity classes for desertification vulnerability in lands vulnerable to desertification or open to desertification in Türkiye, which has the potential of desertification climatologically'. Lands classified as 'unaffected' within the scope of Türkiye's desertification vulnerability map are theoretically not vulnerable to desertification or their vulnerability under 'current' climatic conditions (solar radiation, air temperature, precipitation and evaporation, wind, drought, and climatic variability, etc.) is still negligible (Türkeş & Akgündüz, 2011). On the other hand, it was stated that various vegetation, topographic and climatic conditions (especially precipitation and evapotranspiration), in addition to other socioeconomic factors, can create a separate environment for the development or aggravation of soil organic carbon loss and land degradation, even if there is no severe desertification in such soils. Moreover, Türkeş revealed the drought vulnerability of Türkiye and conducted a risk analysis for Türkiye in terms of climatic variability (Türkeş, 2017). The results of this study were found to be consistent with the results of the current study in general.

      Vegetation, with the second highest weight value, has a vital role not only in constituting a significant part of the soil organic carbon source but also in preventing land degradation, erosion, and desertification. Lahoaoi et al. (2017) reported that vegetation serves a dual purpose by preventing rain with leaves and keeping the soil in place with common root systems . Vegetation decreases the kinetic energy of raindrops, which in turn decreases their effect on the soil surface and thus decreases the amount of soil particles displaced and transported in the flow. Forty percent vegetation is the critical threshold at which accelerated soil erosion occurs (Francis & Thornes, 1990). Furthermore, ÇEM investigated the effect of land management practices on soil erosion and soil desertification in an olive grove and emphasized the importance of 'unapplied tillage' or 'minimum tillage' in protecting olive groves from soil degradation, protecting water resources, and reducing flood risk in plains leading to less flow (ÇEM, 2018).

      Although low values were obtained in the weighting of the main criteria of soil and geo-topography, which can be considered as passive factors, and their sub-criteria, properties such as slope, slope exposure, and altitude can direct the climate and vegetation and can affect the organic carbon stock content with properties such as texture, depth, pH, and erosion. Consequently, it stated that soil is a very important component of the terrestrial ecosystem since it manages biophysical, hydrological, erosional, and geochemical cycles (Kaya et al., 2022).

    • For the validation of SOC-focused biogeographic sub-regions obtained from the model, maps showing the distribution of SOC stock values calculated for each soil sample point within two different biogeographic regions are presented in Fig. 7. In the production of SOC stock distribution maps of the regions, it was determined that IDW-2 in the Konya section and Gaussian semivariogram models in the Black Sea Sub-Region were appropriate interpolation models with the lowest RMSE value (Table 7).

      Table 7.  Interpolation models and RMSE of soil criteria.

      Interpolation models Semivariogram models RMSE value
      Eastern Black
      Sea Sub-Region
      Konya
      Sub-Region
      Inverse Distance Weighting (IDW) IDW−1 0.233 0.480
      IDW-2 0.231 0.474
      IDW-3 0.230 0.512
      Radial Basis Functions (RBF) TPS 0.236 0.626
      CRS 0.235 0.476
      SWT 0.236 0.479


      Kriging
      Ordinary Gaussian 0.103 0.487
      Exponential 0.104 0.485
      Spherical 0.104 0.487
      Simple Gaussian 0.105 0.485
      Exponential 0.106 0.485
      Spherical 0.104 0.484
      Universal Gaussian 0.105 0.487
      Exponential 0.106 0.487
      Spherical 0.106 0.486
      TPS: Thin Plate Spline, CRS: Completely Regularized Spline, SWT: Spline with Tension. Bold numbers are the lowest values of RMSE.

      It was observed that soils differed considerably between the regions in terms of SOC stock contents. While the SOC contents of the soils distributed in the Eastern Black Sea biogeographic Sub-Region vary between 19.52 tons C ha−1 and 156.32 tons C ha−1, they vary between 11.85 tons C ha−1 and 99.55 tons C ha−1 for the Konya biogeographic sub-region. The SOC contents of the soils distributed in the Black Sea biogeographic section are at high levels in some parts of Rize, Trabzon, Artvin, and Giresun provinces, particularly in the coastal zone dominated by the humid temperate paleoboreal (European) dense forest ecosystem (Fig. 8a). SOC contents exhibit a significant decrease in the lands dominated by subhumid and sparser vegetation in the south of the Eastern Black Sea Mountain Range, extending like a high wall in the south of the region (Fig. 8a).

      Figure 8. 

      Geographical distribution patterns of the SOC-based biogeographical intensity levels for (a) the Eastern Black Sea Sub-Region along with the (c) R2 value, and (b) the Konya Sub-Region along with the (d) R2 value.

      In the Konya biogeographic section, the SOC content of the soils increases in the relatively humid western and northwestern parts of the region, whereas the SOC content of the soils decreases towards the relatively drier southern and eastern parts (Fig. 8b). This distribution is also consistent with the soil organic carbon project study of Türkiye conducted by ÇEM (2018), it estimated the SOC amounts as 36.03 tons C ha−1 in the Central Anatolia Region and 84.22 tons C ha−1 in the Eastern Black Sea Sub-Region. The most important reason for this change between these two biogeographic regions may be geomorphology-topography, climate, and vegetation, in addition to who asserted that the depths of soils and clay contents had a significant effect on soil organic carbon retention (Dengiz et al., 2019). Moreover, the distribution of deeper and clayey soils in the Black Sea region may have caused this difference.

    • Here, characterization and validation of the two different biogeographic sub-regions' SOC intensity have been syntheised in the broadest possible way. Soil is the main terrestrial sink of organic carbon due to its carbon-storing potential, which is usually higher than that of vegetation (Dengiz et al., 2015). Carbon stocks in the soil usually consist of organic and inorganic carbon, and the largest reserve of terrestrial carbon is available in the soil (Yılmaz & Dengiz, 2021). This amount is three folds of the vegetation and two folds of the atmosphere. According to the calculations of some researchers, the amount of organic carbon in one meter soil depth varies between approximately 1,500 and 2,000 Pg (Eswaran et al., 1993; Tolunay & Çömez, 2008; Dengiz et al., 2015). Due to its effects on the physical, chemical, and biological properties of the soil (Kussain-Ovaet al., 2013), SOC content plays a key role in the protection of soil health and quality, product production, and environmental quality (Robinson et al., 1994). The potential of two different biogeographic sections to produce soil organic carbon was estimated using the SWARA weighting model of 18 sub-criteria that belonged to the four main criteria addressed and the linear combination technique of the class values of the sub-criteria.

      According to the Ward clustering methodology and the basic physiographic, climatological, and meteorological characteristics (Iyigün et al., 2013; Türkeş, 2022), the Eastern Black Sea biogeographic sub-region is characterized by an East Coast type climate under the main Mid-latitude Humid Temperate Coastal Black Sea climate. Accordingly, it was revealed that the SOC values were usually high on the coastal zone than the northern slopes of the Eastern Black Sea Mountain Range dominated by the humid temperate coastal climate characterized by the humid boreal mixed (both conifers and broad-leaved deciduous) forest ecosystems, and urbanized areas, in the west of the section and the central parts between Trabzon and the north of Erzurum (Fig. 8a). On the other hand, low SOC intensity (< 30 ton ha−1) was determined in the central-southern (Gümüşhane, Bayburt districts) and eastern-southeastern parts of the section, dominated by subhumid climate conditions and dry-subhumid conditions southward, which are characterized by mixed and dry sparse forests and high meadow-pasture vegetation (Fig. 8a).

      On the other hand, according to the Ward clustering methodology and the basic physiographic, climatological, and meteorological characteristics (Iyigün et al., 2013; Türkeş, 2022), the Konya biogeographic sub-region has a semiarid/dry-subhumid continental Central Anatolia climate, which is mostly characterized by dry forests and large steppe lands over the large plains, plateaus, and highlands (Türkeş, 2021). In the Konya section, unlike the Eastern Black Sea section, the relatively high and relatively low valuations of soil organic matter stock distribution and SOC intensity distribution maps exhibit good geographical autocorrelation in general terms (Fig. 8b). SOC values are distributed at high and very high intensities in relatively more humid (mostly semi-humid and dry-subhumid) western and northwestern parts of the Konya section, dominated by mixed forest and dry forest and shrub vegetation, where high plateaus and mountains usually cover a larger area (Fig. 8b). The central, southern, and southeastern parts of the section, which consist mostly of low plateaus and plains, are dominated by steppe vegetation, including sparse trees and bushes, where dryland farming is performed (e.g., various grains), exhibit SOC distribution at low intensities (Fig. 8b).

      On the other hand, when the correlation values of the relationship between the SOC stock values and the model results in the soil samples obtained from the sub-regions were checked for the accuracy of the result obtained from the estimation model, very high values such as the R2 value of 0.699 for the Eastern Black Sea biogeographic Sub-Region and the R2 value of 0.697 for the Konya biogeographic Sub-Region were obtained (Fig. 8c & d)

      There have been similar SOC studies performed by various techniques and methods for the arid lands in Mediterranean countries (e.g., Thabit et al., 2024; Mohamed et al., 2019). The study by Mohamed et al. (2019) can be given as an example of the comparative studies, who examined the relationship between soil organic carbon and human activity under arid conditions, in the east of the Nile Delta, Egypt. They found significant variations of soil organic carbon pool (SOCP) among different soil textures and land-uses; for instance, soil with high clay content indicated an increase in the percentage of SOC and had a mean SOCP of 6.08 ± 1.91 Mg C ha−1, followed by clay loams and loamy soils. They pointed out that if the land use changes from agricultural activity to fishponds, the SOCP significantly increase. The lands with agriculture land-use is characterised with a higher SOCP with 60.77 Mg C ha−1 in clay soils followed by fishponds with 53.43 Mg C ha−1. Those SOC values are among the lowest (11.85 tons C ha−1) and highest (99.55 tons C ha−1) values we found for the semi-arid Konya biogeographic sub-region of Türkiye under various types of land cover and land-use characteristics.

    • Türkiye is a country with quite different ecological and biogeographical region, sub-regions, districts, and environments. This study attempted to estimate the potential of soil organic carbon-focused biogeographic sub-regions of the Eastern Black Sea and Konya sections, which have different physical geography, land use-land cover and soil geography characteristics, to produce soil organic carbon by the GIS-based SWARA method. Moreover, the potential of biogeographical regions to produce SOC is contingent upon a number of ecological criteria. The relative contribution and influence of these criteria on SOC formation vary. The determination of the relative importance of these criteria represents a complex decision-making process. Therefore, the SWARA method used in the current study represents one of the approaches developed to address this challenge.

      According to results, the lowest RMSE values of interpolation models for the Eastern Black Sea and Konya biogeographic Sub-Regions were determined 0.103 (Gaussian semivariogram model of Ordinary Kriging) and 0.474 (IDW-2). As for SWARA model, the highest weighting value was found for vegetation intensity, while the pH sub-crietria has the lowest weighting value as 0.011. Moreover, whereas soil organic carbon contents of soils distributed in the Eastern Black Sea biogeographic Sub-Region vary between 19.52 tons C ha−1 and 156.32 tons C ha−1, they vary between 11.85 tons C ha−1 and 99.55 tons C ha−1 for the Konya biogeographic Sub-Region

      The water-holding capacity and precipitation permeability properties of soils with moderate and high organic carbon content and estimated SOC-focused biogeographic intensity ensure the formation of high lands with more regular humidity and content. The plant root development and precipitation change tolerance in the soil are substantially strengthened by more advanced aggregation through soil carbon. These factors and processes are considered strong indicators of the biological richness and productivity of soils. Additionally, the ecological soil function initially uses carbon as a food source. In other words, agricultural ecosystems and sustainable agriculture are based on the presence of soil organic carbon. Moreover, in addition to its other benefits, increasing carbon retention in soils by various means and methods contributes significantly to climate change mitigation via the development and enhancement of sinks, and increasing soil organic carbon plays an important role in improving the ecology and functions of agricultural systems and climate change adaptation by enhancing climate resilience. The resulting aggregated soils are more resistant to wind and water erosion. By ensuring the continuity of sufficient meadows/pastures and endemic plant levels, the carbon cycle becomes sustainable, and ecological and agricultural productivity can be improved with more meadows/pastures. The results of this study are at a level that can address and contribute to many fields.

      This study comparatively analyzed the distribution of soil organic carbon in both a humid environment and a semi-arid environment, and in addition biogeographical sub-regions with different physical geography, land use-land cover, soil geography, and climatic characteristics. With respect to the SOC characteristics, it offers the hypothesis that the similar biogeographic sub-regions can be determined in different regions. Consequently, this study could be expanded to include other ecological biogeographic regions or sub-regions of Türkiye (ÇEM, 2018), and the entirety of Türkiye. Furthermore, various climate change scenarios, such as the Intergovernmental Panel on Climate Change's (IPCC, 2021; 2022), new Shared Socioeconomic Pathways (SSPs) and related Integrated Assessment scenarios, could be added to climate model inputs for future periods. Therefore, in conjunction with the projected impacts of climate change, the influence of initiatives and measures aimed at tackling climate change, land degradation and desertification, as well as schemes, measures, and investments intended to address matters concerning land use, land use change, and the establishment of equilibrium between forestry and land degradation (i.e., LDN), on Türkiye's SOC presence and potential can also be assessed.

      • The authors confirm contribution to the paper as follows: study conception and design, analysis and interpretation of results: Türkeş M, Demirağ Turan I, Özkan B, Dengiz O; draft manuscript preparation: Türkeş M, Dengiz O, Demirağ Turan İ; manuscript revision: Türkeş M, Dengiz O. All authors reviewed the results and approved the final version of the manuscript.

      • The datasets generated and analyzed during the current study are not publicly available but are available from the corresponding author on reasonable request.

      • The authors sincerely thank the editors of the journal and the anonymous referees for their constructive approaches and valuable suggestions to improve the article at every stage of the review process. In addition, the authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

      • The authors declare that they have no conflict of interest.

      • Copyright: © 2025 by the author(s). Published by Maximum Academic Press, Fayetteville, GA. This article is an open access article distributed under Creative Commons Attribution License (CC BY 4.0), visit https://creativecommons.org/licenses/by/4.0/.
    Figure (7)  Table (7) References (68)
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    Türkeş M, Demi̇rağ Turan İ, Özkan B, Dengi̇z O. 2025. Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation. Soil Science and Environment 4: e001 doi: 10.48130/sse-0024-0002
    Türkeş M, Demi̇rağ Turan İ, Özkan B, Dengi̇z O. 2025. Determination of different SOC-focused biogeographic regions using the GIS-based SWARA method and soil organic carbon stock variation. Soil Science and Environment 4: e001 doi: 10.48130/sse-0024-0002

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