A Systematic Analysis on the Sustainable Development of Tourism Industry Cluster -------Take Hainan Province as an Example Xiao-mei Qi1, Li-jun Hu2 1 College of Business Administration, Zhejiang Gongshang University, Hangzhou, China 1 School of Economics and Administration, Hainan University, Haikou, China 2 College of Foreign Languages, Quzhou University, Quzhou, Zhejiang, China (164228345@qq.com1, lovonne78@hotmail.com2) Abstract - This article mainly analyzes the composition and structure of tourism industry cluster and makes a quantitative judgment of the formation of Hainan's tourism industry cluster. Firstly, it explores the connotation of sustainable development of tourism industry cluster both from the harmonious management theory and selforganization theory. Secondly, it puts forward the system framework to study the sustainable development of tourism industry cluster. Thirdly, it carries out a systematic analysis on Hainan tourism industry cluster's sustainable development. Keywords - Hainan, tourism industry cluster, sustainable development, system framework, systematic analysis I. INTRODUCTION Under the background of constructing Hainan into an international tourism island, we, as the scholars in tourism, should undertake the responsibility for the research of Hainan tourism. Hainan tourism can be regarded as a system from the angle of system theory, or it can be considered as an industry from the perspective of economics and management. It also can be thought as the combination of a system and an industry which are not contrary to each other. The paper will discuss Hainan tourism from the latter point. The early study of industrial cluster mainly focused on the manufacturing and new hi-tech industry, but few cases were applied to the tourism industry. There has been a large quantity of literature on this field in the late 20th century and the early 21st century. Since the end of 2003, the domestic scholars with the representative of Professor Wang Jici from Beijing University begin to pay close attention to tourism industrial cluster. After fierce debates, they reached unanimous agreement that the tourism industrial cluster is theoretically possible [1], [2]. This article mainly analyzes the composition and structure of tourism industry cluster and makes a quantitative judgment of the formation of Hainan's tourism industry cluster. It explores the connotation of sustainable development of tourism industry cluster both from the harmonious management theory and selforganization theory. It also gives some research on the macro and micro mechanism of industrial cluster's sustainable development, on which it provides a mathematical model for the sustainable development of industrial cluster. II. THE CLUSTER JUDGEMENT The cluster judgment should be based on its definition as well as its characteristics. Take Michael Potter and Wang Jici as representatives from broad and home, many scholars have brilliant exposition on the definition and characteristics of industrial cluster respectively from different point of view. And the method to judge the industrial cluster is quantitative and qualitative. The method of Location Quotient is only used in this article to judge whether Hainan tourism industry cluster is formed or not. Location quotient (referred to as LQ) is a ratio between the share of a specific sector's output value in the regional total and the share of the whole sector's output value in the national industrial total. In area economics, location quotient is often used to determine whether an industry constitutes a regional specialized department. A LQ of more than 1.0 indicates the industry is the specialized department in this area. A higher LQ means more professional. Otherwise, a LQ equal to or less than 1.0 indicates this industry is self-sufficient department. LQ is also a tool to analyze the industry efficiency and benefits, which is a common method to identify clusters and measure a certain aspect of an industry and the relative concentration of a particular region. The formula used to compute a LQ follows: LQ = (Lij/Li)/(Lkj/Lk) Lij refers to the output value of j industry in i region, Li the total production value in i region, Lkj the production value of j industry in country k, Lk the national total production in country k. A LQ of more than 1 means the specialization of an industry. With over 1.12, it is a rather higher specialization. In the process of identify the industrial cluster; if LQ is greater than 1, it is considered the industrial cluster has been formed [3]. The data of Hainan's tourist industry from 2001 to 2009 have been calculated to find out the LQ of Hainan tourism in the following Table I. Table I shows that the LQ of Hainan tourism were above 3.0 from 2001 to 2010, with an increase year by year especially from 2004 to 2009, which fully illustrates the formation of Hainan's tourism industry cluster as well as a strong development tendency compared to other provinces in China. TABLE I LQ OF HAINAN TOURISM Items Years Total GDP (trillion RMB) 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 109655.2 120332.7 135822.8 159878.3 183217.4 211923.5 257305.6 300670.0 340506.9 397983.0 National Tourism revenues (trillion RMB) 4995.00 5565.63 4882.96 6841.13 7685.79 8936.15 10958.14 11585.85 12894.72 15680.43 Hainan Share of tourism in GDP (%) Total GDP (trillion RMB) 4.56 4.63 3.60 4.28 4.19 4.22 4.26 3.85 3.79 3.94 579.17 642.74 713.97 819.67 905.03 1031.90 1223.28 1459.23 1646.60 2052.12 Tourism revenues (trillion RMB) 87.91 95.37 93.58 111.05 125.07 141.45 176.36 192.33 211.72 257.63 Share of tourism in GDP (%) LQ of tourism 15.18 14.84 13.11 13.55 13.82 13.71 14.42 13.18 12.86 12.55 3.33 3.21 3.65 3.17 3.29 3.25 3.39 3.42 3.40 3.19 Data from National Statistics Yearbook, National Economy and Social Development Statistics Bulletin, Hainan Statistics Yearbook and the Economic and Social Development of Hainan province. III. THE COMPOSITION AND STRUCTURE OF HAINAN TOURISM INDUSTRY CLUSTER The article holds the opinion that Hainan tourism industry cluster consists of the following three parts [2], [4-6]: Firstly, the core of industry includes tourist attractions (core attraction), hotels, travel agencies, tour companies, tourist goods and souvenirs, and so on. Secondly, tourism leading industry includes food and food processing industry, tourism real estate, tourism transports, tourism supply and repair business, tourism planning and consulting business, producing and processing of tourism products, landscaping and cleaning. Thirdly, the corresponding supporting mechanism and service mechanism include the providers and related organizations in the fields of finance, insurance, telecommunications, training institutions, government management departments and associations which are helpful to the cluster infrastructure, tourist activities, the production and operation of cluster enterprises. The structure of Hainan tourism industrial cluster can be divided into three levels: The first level is tourist attraction (core attractions) and related business. The second level is food, housing, traffic, travel, shopping, and entertainment. The third level are the providers and related organizations in the fields of finance, insurance, telecommunications, training institutions, government management departments and associations which are helpful to the cluster infrastructure, tourist activities, the production and operation of cluster enterprises. IV.THE IMPLICATION OF SUSTAINABLE DEVELOPMENT OF TOURISM INDUSTRY CLUSTER Since the birth of tourism industry, tourism industry cluster's sustainable development has been worthy of attention. The previous literature focused on the coordination of tourism cluster development from the static angle and its main index is a reasonable ratio among the essential factor investment, which is the foundation of sustainable development. The sustainability discussed in this paper has a wider perspective, not only including the "sources" harmony based on various elements reasonable input, but the "human" harmony of social relations and humanistic spirit [7]. The following is to be illustrated both from the perspectives of harmonious management theory and the theory of self-organization. A. Perspective of Harmonious Management Theory It is thought that industry clusters' sustainable development consists of the sustainability of cluster system's development and the coordination development between the cluster system and the external social and economic environmental system. Harmonious development can be divided into "being together " and "harmony" according to the theory of harmonious management the former is persons' or people's ideas and behaviors desirable embedded. And harmony refers to all physical elements input reasonably in the organization. It carries out analysis in accordance with the principle of "being together "and "harmony". The principle "being together" is used to adjust the interpersonal relationship. There are various social relations of the inside and outside of cluster system, such as organizational culture and humanistic spirit, which are important to cluster development. These soft factors were often ignored in the previous studies, together with the material elements, also known as the hard elements coordination and matching. "Harmony" refers to the rational investment of material elements. It is a process of pursuing optimization for material elements under the determined condition with the constraints of existing objectives and circumstances. Only both of them play their own roles, can the whole cluster system develop coordinately [8]. B. Perspective of Theory of Self-organization Tourism industry cluster is characterized with openness, far from equilibrium, nonlinear effect and fluctuation, which are in accordance with self organization. Based on the analysis of self-organization mechanism of tourism industry cluster, we found that the synergy of competition and cooperation is the drive for the self-organization evolution of the tourism industry cluster and its order parameter is the tourism culture. It also reflects that the culture plays an important role in the tourism industrial cluster. The theory of self-organization gives an explanation the sustainable development is the system spontaneous evolution from a disorderly state to orderly and even to a higher one. This kind of evolution is necessarily to ensure its own compatibility, clear away outside interference and keep sustainable development. V.SYSTEM ANALYSIS ON TOURISM INDUSTRIAL CLUSTER SUSTAINABLE DEVELOPMENT According to the theory of system science, the system development is closely related to the elements within the system, the links and interactions between the system itself and its external surroundings. Not only the internal dissonance of the system but the external will affect the system's overall development [10], [11]. This part begins with analyzing the systematization of tourism industry cluster, namely, the macro mechanism of the sustainable development, followed by its micro mechanism. Finally, it provides a mathematical model for the sustainable development of industrial cluster. A. Systematization of tourism industry cluster---macro mechanism of sustainable development Tourism industrial cluster is a phenomenon of tourism industry aggregation. The internal of each subsystem within the cluster system, the subsystem themselves, the cluster system itself and its external surroundings form a complex open system through a variety of interactions. Its macro mechanism for operating is to be discussed in the following, which is characterized with entirety, hierarchy, correlation, openness, selfadaption and environmental adaptability. 1) Entirety: Its unified entirety leads to the existence of tourism industry cluster. Integrity is the basic attribute of the system, which is demonstrated that only within the entirety, can each subsystem's purpose, nature, motion and function be performed, and they have to subordinate to the need of overall development. The subsystem is not the best one if it is pursuing the best results without considering the overall interests. Otherwise, even if each subsystem is not the perfect, they still can make the entire system function well through complementation, comprehension and coordination. This is the entirety of the cluster system. Entirety determines the overall functions of cluster system much greater than the linear summation of all subsystems'. 2) Hierarchy: Tourism industry cluster has at least three levels. The core level is tourist attractions and related enterprises. The auxiliary level includes some subsystem such as food, accommodation, travel, shopping, entertainment, transportation. The supporting level refers to the suppliers of the cluster infrastructure, relevant organizations, institutions and organizations. Cluster system's hierarchy is reflected on the relative independence and effectiveness of each hierarch's function. Destroying their independence and effectiveness will eventually reduce the whole system's efficiency. 3) Correlation: Tourism industry cluster correlation refers that each subsystem with the system restricts to each other, influence each other and interdependent on each other. They have mutual connections and dependence in the process of operation, including the structure, function and causal relations. Each subsystem's function and their reasonable and correct coordination will reach the system's goal. These links determines the whole system's operation mechanism. While, analyzing these links is the basis of constructing clusters[12]. 4) Openness: The tourism system is an open system. It exists in a certain environment and constantly exchanges its material, information and energy with the external environment. The main function of tourism industrial cluster is to provide tourists with tourism products and services, which determine its higher openness. Clusters take tourism resources as its core, the subsystem of food, accommodation, transportation, travel, shopping, and entertainment as its auxiliary layer, and infrastructure providers, related organizations, institutions and groups as the supporting layer. Each part of each layer is an open system, which does not only constantly exchange material, energy and information with the external environment, but the internal expanded cooperation and exchanges widens its openness. 5) Self-adaption: Enterprises are the basic elements of tourism industrial cluster, and they have their own purposes, initiative and adaptability. Each enterprise is in the pursuit of their benefit maximization. With this goal, they have to be active and take the initiative to achieve it. In addition, enterprises and elements within the cluster as well as without the cluster, and the internal and external environment interact with each other. This interaction and impact constantly changes the cluster itself, and also changes the surroundings. It is called the cluster's self adaption, which is basic power for tourism industry cluster development. 6) Environmental adaptability: Tourism industrial cluster is operating in a certain environment, and changing its material, energy and information with the external environment. The system which can not adapt to the change of environment is no vitality. The boundary of cluster system is the dividing line between cluster system and its external environment (see Figure 2). Objectively, there is no obvious line between them. Only for the convenience of research, the system scope, scale, structure and the problems to be solved should be limited. B. Micro mechanism for sustainable development of tourism industrial cluster From above, tourism industrial cluster, as a system, has various characteristics which a system has. These characteristics are rather macroscopic. In order to conduct an in-depth research of the cluster system's sustainable development, it is necessary to analyze its microscopic structure and environment because the microscopic behavior determines its macroscopic properties [13]. The system's boundary should be firstly defined for the need of the study. The boundary of tourism industrial cluster in this paper is set between the system's core, auxiliary layer and supporting layer so as to clearly distinguish the inside and outside of the system. The fundamental object of the study concerns tourist attractions in which there are six subsystems related to food, accommodation, transportation, travel, shopping and entertainment. These subsystems are made up of enterprises. The model of energy standard, also known as the mathematical formula to test its function, is to be constructed according to the three layers. Energy standard here not only takes both the role of material elements and non-material one into consideration, but the linear and non-linear function. In the end, it offers the mathematical expressions to calculate the cluster system's overall energy level. 1) Internal energy levels of six subsystems composed of tourism industry cluster system Enterprises are the basic unit of the six subsystem concerning food, accommodation, transportation, travel, shopping and entertainment. The enterprise itself can be regarded as an independent system, whose energy level is determined by its elements. Enterprises' subsystems are composed of all kinds of productive elements and nonproductive ones which can be classified into material and non-material according to their existing forms, marked respectively as m and k. The energy level of each subsystem depends on the enterprise's energy level (linear), marked as q (m, k), within the system and the interaction (nonlinear) marked as ∆q among enterprises. Suppose that there are j enterprises in each subsystem and there are i subsystem, then the energy level of each subsystem marked as E is: E =∑f i(q( m j, k j), ∆q), (i= 1, 2 , ..., 6, j=1, 2, ..., n) (1) This is the energy level of a linear function, but the energy level of enterprises within each subsystem is nonlinear. 2) Energy levels produced by the interaction of six subsystems The cluster system produces competition and cooperation among each subsystem because of their nonlinear interaction. The energy level (marked as C) produced by this kind of competition and cooperation is: C = c (q (m j, k j), ∆q) (2) It is necessary to point out that the coordination among the six subsystems relies on the culture which is the soul of tourism. 3) Energy levels produced by the exchanges and cooperation between tourism cluster and its external environment Tourism cluster, as an open system, has to continuously exchange with the external environment to maintain its sustainable development. The energy levels (marked as H) produced by the exchanges between tourism cluster and its external environment can be expressed as: H = a (q (m j, k j), ∆q) (3) 4) Overall energy levels of tourism industrial cluster system The overall energy level of tourism industrial cluster system (marked as N) is the function of these three kinds of energy levels. Its mathematical formula can be: N = f (E, C, H) (4) C. A mathematical model for sustainable development of tourism industry cluster system From formula (4), it can be seen that the energy levels of tourism industrial cluster system are closely related to f, E, C and H. They should be improved in order to increase the overall energy levels N. At present, it is still hard to theoretically prove it continuously differentiable because the specific F function form can not be determined. However, it should be continuously differentiable according to the meaning of f. It can be concluded that the tourism industry cluster is featured with systematization. Suppose that there is a good state among the inside of each subsystem within the cluster, each subsystem, the cluster and its external environment, a whole system has been constituted, in which each can integrate with others and promote others. Only then, can the industry cluster system achieve its maximum energy level. Therefore, the sustainable development of tourism industry cluster system can be defined as the following. There is an overall coordination for the internal of the system and each subsystem concerning tourism core layers such as food, accommodation, transportation, travel, shopping and entertainment. And the cluster system can adapt itself to the external surroundings. Using K to represent the cluster's sustainable development, its mathematical expression can be: K=k (k1 (E), k2 (C), k3 (H)) (5) k1 (E) refers to the internal sustainable development of six subsystems, k2 (C) means the sustainable development of competition and cooperation among six subsystems, and k3(H) represents the sustainable development of exchanges between six subsystems as a whole and external environment which also means the overall sustainable development of tourism industrial cluster system. VI.SYSTEMATIC DESCRIPTION OF HAINAN TOURISM INDUSTIAL CLUSTER’S SUSTAINABLE DEVELOPMENT On the basis of the above analysis, Hainan's tourism industrial cluster's sustainable development can be described like this: with the core of natural attractions and tourist attractions, it should focus on the sustainable development of six subsystems of food, accommodation, transportation, travel, shopping and entertainment. The energy levels of each subsystem and between them can reach its optimum. And the energy levels of the exchanges between the industry cluster system composed of six subsystems and the external environment also can be optimal so as to make the whole cluster energy level maximum. The higher the whole energy level is, the more its sustainable development is. Taking the current situation of Hainan's tourism industry cluster into account, how to maximize its value is the significance of the paper since Hainan boasts its rich tourism resources. However, there are some issues to be solved. How to coordinate the six subsystems under the guidance of culture? How do Hainan administration, tourism infrastructure providers, relevant organizations, institutions and groups provide six subsystems support? In more detail, Hainan has good natural landscape and tourist attractions. The issue is how to make it coordinate and match with the subsystem of diet. It not only needs a hard material matching, but also a soft culture and organization. Whether the diet can match with tourist attractions in terms of specialty, price, location, environment and atmosphere?How do the tourists feel while eating? This paper stresses more on the coordination of charming natural environment, geographical resources and humanistic spirit, which is a special perspective in this paper to study the sustainable development of tourism industry cluster from system theory. It should be paid enough attention to in the research of cluster at all levels. 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