2.3.1. Prediction of Land Use Changes
The Dyna-CLUE model was applied to predict land-use changes until 2050. The CLUE model is a land-use change model developed at the University of Wageningen in The Netherlands in 1996. It quantifies the empirical relationship between land-use and driving factors and dynamically simulates the changes in land-use over time and space [
8,
35]. It was later developed into the CLUE-S model and Dyna-CLUE model [
36,
37]. The Dyna-CLUE model simulates the changes in land-use through feedback processes that allocate land-use based on the relationship between land-use and driving factors. It also determines land-use changes with respect to the total land-use requirement, considering not only the relationship with the driving factors but also the relationship with the neighboring grids [
19].
To drive the CLUE model, a reference map, land-use requirements, location characteristics, spatial policies, restriction data, and land-use type specific conversion settings are required.
The data for driving the land-use change model are shown in
Table 1. Land-cover maps produced and distributed by the Ministry of Environment (ME) of Korea were used to calculate the land-use map and land-use requirements. Among the location characteristics data, the DEM provided by the Korea National Geographic Information Institute (NGII) was used as the topographic factor, and the soil map provided by the Ministry of Agriculture, Food and Rural Affairs (MAFRA) of Korea was used as the geological factor. For socio–economic factors, the land-cover map provided by the ME of Korea, digital topographic maps provided by Korea NGII, and the statistical yearbook provided by Jeju Special Self-Governing Province were used.
The reference map is a base map for simulating land-use changes, and in this study, the 2010 land-cover map provided by the ME of Korea was used (
Figure 3).
Land-use requirements were based on the land-cover map produced by the ME of Korea from 1990 to 2020. According to the trend of change from the past to the present for each land-cover type, the rate of change from the base year (2010) to the land-use area until 2050 was calculated.
Data regarding the location characteristics were obtained based on the relationship between land-use and the land-use change factors, or with the use of the surrounding land. The relationship between land-use and the land-use change factors is represented by a binary logistic Equation (1).
here,
. is the probability that the land-use of grid i will change,
is the land use change factor, and
is the regression coefficient for each land-use change factor [
8].
Land-use change factors include biophysical factors such as soil, climate, topography, and socio–economic factors, including population, technology, political structure, and economic conditions [
36]. In this study, topographical factors such as elevation, slope, and aspect; geological conditions such as effective soil depth, drainage grade, soil character; and socio–economic factors such as distance from streams, distance from roads, distance from cities, distance from the sea, and population density, were set as factors determining the land-use changes (
Table 2). The relationship between land-use and the land-use change factors was analyzed based on the current land-cover map. The regression analysis results between each land-use and the land-use change factor were verified based on the Area Under the Curve (AUC) value through Receiver Operating Characteristic (ROC) analyses. ROC analyses are widely used to evaluate the performance of a model [
38]. The AUC value lies between 0.5 and 1.0, and the closer it is to 1, the more descriptive the model is [
39]. When the AUC value is 0.7 or higher, the model’s descriptive power is considered appropriate [
40].
As spatial policies and restriction data, protected areas data were used (natural parks, natural monuments protected areas, wetland protected area, and public forest) (
Figure 4).
Specific conversion settings of the land-use type are used to determine the conversion elasticity and conversion matrix. Conversion elasticity is a coefficient that quantifies the degree to which conversion can occur for each land-use; it has a value ranging from 0 to 1. The closer the value is to 1, the lower is the probability of conversion. The conversion matrix determines whether a conversion is possible for each land type; it can have a value of 0 or 1. A value of 0 means that no conversion between land uses is possible, whereas a value of 1 means that conversion is possible. The conversion elasticity was established by analyzing the degree of change with respect to land-use type between 1990 and 2020 (
Table 3). Compared to other land-use types, the changes in bare land were relatively more numerous; bare land had the highest conversion probability (0.2), followed by farmland (0.5), grassland (0.7), forest (0.9), urban area (0.9), and water body (1.0), respectively.
The conversion matrix distinguishes whether conversion is possible for each land type and has values of 0 and 1. The conversion matrix was established by analyzing the changes in land-use types over the last 30 years (
Table 4). For instance, in the case of farmland, changes from farmland to other land-use types over 30 years were analyzed, and the land-use type to which the farmland was converted was set as the convertible (1); if it was not converted to any other land-use type, the value in the conversion matrix was set as 0. The urban, forest, grassland, and bare land were set up using the same approach. As the water body was assumed to remain unchanged, it was set that only water body could be converted.
Land-use allocation is determined through the following Equation (2):
here,
is the total probability that land-use
lu exists in grid
i,
. is the location fit probability according to the land-use change factor,
is the probability of fit according to the surrounding grid,
is the transition characteristic value, and
is the competitive advantage value.
The land-use with the highest total probability is allocated for each grid, and the value of
is repeatedly calculated depending on whether the land-use demand for each land-use is satisfied (
Figure 5).
Land-use changes were predicted from 2020 to 2050. The predicted land-use map for 2020 was analyzed for accuracy by cross-validating with the 2020 land-cover map produced by the ME of Korea.
2.3.2. Analysis of Change in Roe Deer Habitat Quality According to Land-Use Change
The InVEST model was used to analyze the changes in quality of roe deer habitats. The InVEST model is one of the most widely used models owing to its high field applicability and user convenience; it has been applied in many studies [
5,
28,
29,
30,
31]. It is a suitable tool for analyzing changes in the quality of habitat in terms of ecosystem service evaluation items, tradeoff analysis, economic valuation, stakeholder engagement, flexibility, and user convenience.
Among the InVEST models, the habitat quality assessment model relies on the proximity of habitats to human land-use and the intensity of land-use [
41,
42]. Habitat quality is affected by habitat suitability, threats due to habitat quality reduction factors, habitat sensitivity to reduction factors, and access to the habitat. The habitat quality is expressed as a value between 0 and 1; the higher the value, the higher the evaluated quality of the habitat is [
43].
The formula for calculating habitat quality is as follows (3) [
44]:
here,
Qxj is the habitat quality of grid
x in habitat type
j, and habitat suitability
Hj represents the degree of suitability as a habitat for different types of habitats. The value of habitat suitability ranges between 0 and 1. The larger the value, the higher the suitability is.
Dxj refers to the degree of reduction in the quality of the habitat in grid
x and habitat type
j;
k is a half-saturation constant, which is half of the maximum reduction degree, and
z is a normalized constant (usually 2.5).
By reviewing existing references [
4,
5,
28,
29,
30,
31], the threats to habitats, maximum impact distance, and weights for each factor were derived (
Table 5). The main threats to the Jeju roe deer were urban land, farmland, and bare land, which can be termed human activity areas. The roads were designated as a separate threat category, especially because roads were the biggest threat due to accidents with vehicles. According to [
4], the maximum impact distance for each factor was set to 200 m, by investigating the response of deer with respect to distance. The averages of the values presented in existing references were used as the weights.
In addition, habitat suitability was calculated based on the rate of discovery of individual roe deer and the habitat traces for each habitat type surveyed in existing reports [
45]. Habitat sensitivity was used as the average of the values presented in existing references [
5,
28,
29,
30,
31] (
Table 6).
To classify the degree of accessibility to the habitat, the designation of protected areas was used. It was applied differentially from 0 to 1 according to the degree of legally protected area designation for each grid. The change in the habitat quality for Jeju roe deer from 2030 to 2050 was analyzed.