1.1. Research Background
China has survived and developed for thousands of years in its struggle against natural hazards [
1]. During the last 20 years, China has experienced the highest number of disaster events of any country in the world, with 577 events [
2], including the 2008 Sichuan Earthquake and the Yushu Earthquake on 14 April 2010.
Geological disasters have become a major concern in many Chinese cities, as they are one of the most unpredictable natural hazards [
3]. Over 70% of cities with more than one million residents are located within seismic zones [
4].
Urban green spaces play a crucial role in enhancing urban resilience to natural hazards [
5,
6,
7], such as providing safe places to which residents can evacuate quickly to seek temporary shelter, forming protective rings to achieve fire protection through the water system and planting fire-resistant low-oil plants, and blocking dirt and killing bacteria through the use of green plants that secrete bactericidal substances. With the introduction of concepts such as the Healthy City and the Resilient City, the ecological and healing benefits of urban green spaces have gradually been accepted by the public [
8]. In China, however, residents are relatively unaware of the role that green space plays in disaster prevention and risk reduction [
9,
10].
1.2. Literature Review
Although the definition of Refuge Green Space (RGS) varies from country to country, it is broadly defined as urban green spaces that mitigate the degree of harm suffered, providing a place for the evacuation and rehousing of residents before, during and after the occurrence of natural disasters [
11].
In western countries, the study of RGS can be traced back as far as the Renaissance [
12]. During the reconstruction of Catalonia following the earthquake in the 17th century, streets were replaced with wide urban roads [
13]. To ensure that people would have open space to which to evacuate during an earthquake, large squares were planned. Several street trees were planted on both sides of city streets in order to prevent objects from striking evacuees directly [
14]. There were successive fires in Chicago and Boston during the 19th century. In the aftermath of these disasters, parks and parkways were used to divide densely populated urban areas [
15]. Systematic layouts were also implemented for open spaces in order to prevent fires from spreading and to improve cities’ ability to withstand natural hazards [
16]. The planning approach used here served as a forerunner to the later planning of green space systems for disaster prevention and mitigation [
17]. In 1923, fires caused by the Great East Japan Earthquake destroyed nearly 40% of Tokyo’s urban area [
18]. City squares, green spaces, and parks played a vital role in protecting residents and slowing the spread of fire [
19].
McHarg advocated incorporating urban ecology into emergency shelter planning in 1969, promoting a broader perspective of the role of urban parks in disaster prevention [
20]. In 1995, after the Great Hanshin Earthquake in Japan, the Ministry of Construction put forward two requirements for the construction of urban parks with respect to disaster prevention. Firstly, that the number of Disaster Prevention Parks in old urban areas should be increased in order to form a network system of disaster prevention parks [
21]. Secondly, that general parks should be transformed into Disaster Prevention Parks to enhance their capacity for disaster prevention and mitigation [
22,
23]. To improve disaster preparedness and emergency shelter planning, many western countries have incorporated Refuge Green Space Evaluations (RGSE) into their disaster prevention systems [
24], such as the Evaluation and Shelter Guidance in the UK [
25] and the National Framework in the US [
26].
In China, there are two main stages in the research of RGS. The first stage is to learn from the experiences of other countries. Yun, L. [
27], Kito Yonghei [
28] and Junhua, Z. [
29] have described and analyzed Japanese Urban Disaster Prevention Parks from different perspectives. Yan, P. et al. [
30] analyzed the urban disaster prevention and mitigation systems in France and Germany. There have been a number of related studies focusing on the period between 1995 and 2010, a period when RGS in China was still in its infancy, and it was urgently necessary to enumerate its basic functions and clarify its uses [
31].
An evaluation and practice stage occurred between 2010 and the present. The introduction of Geographical Information Systems (GIS) technology into China resulted in some Chinese scholars combining GIS with the practice of RGS in China and developing new research models [
32,
33,
34]. Junfei, X. et al. [
35] used the spatial analysis of GIS, combined with population distribution density, to conduct a quantitative analysis study of the hazard avoidance capacity of RGS in Beijing. Mingwu, Y. et al. [
36] used the 2SFCA model to quantitatively analyze whether the RGS evacuation capacity in the Centre Area of Shanghai could meet the disaster avoidance needs of the surrounding residents. Wen L et al. [
37] used Harbin Green Park Space as a research object to evaluate the service status of Green Park Space for disaster prevention in terms of accessibility. In the study by Jianhong, W. et al. [
38], a Multi-objective Planning Model was applied to develop a decision support system for RGS. In these studies, the scope and depth of RGS evaluation and location optimization methods have been expanded. Several studies around the world have examined the evacuation capacity of individual RGS, and scholars have summarized the major associated factors [
39,
40]. Each influence factor has been classified into positive and negative correlations according to its relationship with the RGS, and the commonly used evaluation factors are shown in
Table 1 [
41].
Taking into account the needs of the general population, these impact factors may not be appropriate for special populations. Some scholars have conducted studies on the disaster prevention and evacuation behavior of special populations in recent years. In actual evacuation scenarios, the evacuation speed and post-disaster response time of special groups such as children, the elderly and the disabled are significantly slower than those of young people, and their evacuation behaviour and choices are also significantly different from those of young people [
42]. Researchers conducted evacuation experiments in kindergartens in order to determine children’s disaster response times and compare children’s and adults’ density–velocity relationships [
43]. Among the main experimental studies on the evacuation of visually impaired people are studies on the evacuation speed of blind people and studies on the pattern of evacuation of visually impaired people [
44]. According to Zhang et al., the single-guide focused evacuation model had the highest average speed during the indoor unguided evacuation of visually impaired individuals [
45]. To maximize the number of evacuees from special populations, Maziar et al. proposed a multiple group differential evolution method based on the concept of opposed learning from the perspective of public transport [
46].
The Life Safety Code in the USA as well as the ADA’s rules refer to the following two methods of evacuating special populations in hospitals: fire lifts and refuge areas [
47]. Consequently, both public and high-rise buildings provide Areas of Refuge Space (AORS) for special populations. In the event of a disaster, special populations are able to reach the AORS and wait for assistance. For the current design and planning of RGS interiors, fast escape routes and barrier-free access are provided for special groups [
48]. The Japanese government has established community-based autonomous disaster prevention organizations, which provide organized disaster mitigation training through group activities on a daily basis [
49]. Additionally, this initiative allows the general population to assist certain people in the event of a disaster.
1.3. Refuge Green Space Evaluation Models
In light of the critical role that RGS can play before, during, and after a disaster, the location of the RGS is of paramount importance [
50]. RGS evaluation and optimization models will play a significant role in this process [
51]. According to the law on Disaster Prevention and Mitigation, the RGS area per capita should be greater than 1 m
2 [
52].
It should be noted, however, that regulations at the quantitative level alone are faced with numerous practical difficulties. First of all, it does not take into account the actual spatial distribution of the RGS. During a natural disaster, such as an earthquake, certain residential areas may be located near the RGS and are therefore easily accessible. In contrast, some may be located further away from the RGS, allowing them to escape and evacuate more slowly. Secondly, no consideration has been given to the extent to which the population is matched to the RGS in terms of disaster prevention. The escape process may result in a large number of people congregating in one RGS for a short period of time, resulting in a lower service capacity than expected [
53].
Researchers have proposed methods for evaluating accessibility based on these issues [
54]. The term accessibility refers to the ease with which one can move from one point in space to another [
55]. It is also important to assess the capacity of public facilities to meet the needs of the population by calculating accessibility, a process that involves evaluating the degree of matching between supply and demand points [
56,
57]. There is a growing use of measurement models based on accessibility calculations in the evaluation system of public facilities [
58]. The most common evaluation models include the Gravity Model, Gravitational Model, Network Analysis, and Two Step Floating Catchment Area Method (2SFCA) [
59].
Recent years have seen an increase in the use of 2SFCA and its optimization approach [
60,
61]. In Illinois, the method was first employed to identify areas with limited healthcare resources and to measure healthcare accessibility [
62]. Traditional 2SFCA methods ignore spatial distance decay and use Euclidean distances rather than actual distances between supply and demand points [
63]. Therefore, scholars have developed decay functions based on 2SFCA to model actual spatial decay [
64]. 2SFCA incorporates non-spatial attributes into the study of spatial accessibility, taking into account the scale of supply points, the scale of demand points, and the interaction between supply and demand points when calculating accessibility. This method is a valuable tool for evaluating the spatial accessibility of public service facilities [
60,
62]. In various fields, such as metro and public service facilities, the modified 2SFCA is widely used in accessibility evaluations [
65].
1.4. Research Innovations
Based on accessibility calculations, the study evaluates the layout of the RGS in the central area of Tianjin and proposes additions for future locations. The study methodology utilized the improved Three Step Floating Catchment Area Method (3SFCA) and the Bivariate Evaluation Model Index-Moran’s I to identify service blind areas.
The 2SFCA overestimates the potential population demand when multiple facilities are available at the same location without taking into account the potential for population competition [
66,
67]. The method tends to underestimate the accessibility of rural areas while overestimating the accessibility of urban areas [
56]. To rectify this, Wan et al. proposed the Three Step Floating Catchment Area Method (3SFCA) by incorporating the competitive potential between facilities [
68].
A competition effect occurs when there are multiple facilities within the search radius of a demand point [
69]. In particular, the 3SFCA method calculates the choice weights between facility points and demand points based on travel time, reflecting how residents’ demand for a facility point varies based on the availability of other nearby facilities, then repeats the steps of the 2SFCA method [
70].
Using the 3SFCA, the calculation function is optimized and accuracy is improved. Consequently, the traditional Gaussian-type decay function was replaced with a gravity-type decay function. Despite the fact that the Gaussian Function can fit the two variables of distance decay and park area well, it is not appropriate for RGS layout studies. As disasters occur suddenly and are time-sensitive, distance plays a much greater role in RGS layout and site selection than in regular parks [
71,
72]. Therefore, coupling supply and demand alone is not sufficient.
To improve both the granularity and precision of the analysis, this study uses residential points as the basis of analysis, in addition to real entrances and exits to the park. The results of this study are not affected by the use of population raster data or the homogenization of residential areas.
This improved research method is based on accessibility calculations and is well adapted for the evaluation of RGS in plain cities in general. When using the gravity-based distance decay function, however, the rate of decay must be further considered for mountainous cities. As a result of the complexity of the roads in mountainous cities, cross-sectional comparisons of RGS accessibility may be more difficult than in plain cities [
73]. To determine the degree of attenuation in mountainous cities, this method requires integrated consideration and multiple calculations.