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Development of a Catastrophe Model to Assess the
Allocation Efficiency of Competitive Sports Resources in
China
Qian Wang *
College of Physical Education, Huaiyin Normal University, Jiangsu, China
wqstudy@yahoo.cn
Abstract. High allocation efficiency of competitive sports resources is key for
building powerful sports nations. In this regard, there is considerable need for
methods and indicators to diagnose the allocation efficiency of competitive
sports resources for adjusting the allocation mode, management and regulation.
A catastrophe assessment model for allocation efficiency of competitive sports
resources was developed in this paper. The assessment indices were divided
into hierarchical subsystems under the “input-output” framework. These indices
were combined by suitable membership degree functions, such as cusp, fold,
swallowtail and butterfly model. Aided by a geographic information system,
this model was applied to evaluate comprehensively the spatiotemporal dynam-
ics of allocation efficiency of competitive sports resources in China between
2003 and 2008, taking the administrative division as the assessment unit. Re-
sults showed that the allocation efficiency of competitive sports resources in
China generally descended from east to west. The allocation efficiencies of the
eastern coastal regions were significantly higher than those of the central and
western regions. Given the temporal trends, the allocation efficiency of com-
petitive sports resources in most provinces remained low and stable. Specifi-
cally, the allocation efficiency of competitive sports resources in central and
western provinces remained low across the years. The catastrophe model not
only reduces the weight of the subjectivity of the assignment, and can reduce
the subjective evaluation criteria to determine the uncertainty of the calculation
process. Being simple and operational, it is thus believed to provide an alterna-
tive approach to multi-attribute assessment in sports modeling and simulation.
Keywords: multi-attribute assessment, catastrophe theory, allocation efficiency,
competitive sports resources, spatiotemporal dynamics, China.
1 Introduction
After several decades of development, China has made remarkable achievements in
its competitive sports and has been among the ranks of powerful sport nation. Recall-
ing its development process, it is not difficult to find that reasonable and effective
* Corresponding author.
 
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