A Data Envelopment Analysis based Research on the Economic Efficiency of Primary industry in Hohhot , Baotou and Ordos

In this study, we analyze a data envelopment based research on the economic efficiency of primary industry in hohhot, baotou and ordos. The triangle Area of Hohhot, Baotou and Ordos leads the whole economic development in Inner Mongolia. The economic efficiency of primary industry of the county-level units in Hohhot. Baotou and Ordos is evaluated by the data envelopment analysis in this study. It is concluded that the metric value can show objectively the development of the primary industry in each county-level unit.


INTRODUCTION
The primary industry is a sector of national economy classified by "three time industry classification".And in China, it refers to agriculture, animal husbandry, forestry and fishing.Data Envelopment Analysis (DEA), put forward by Charnes et al. (1978), is a method of multi-input-output analysis based on Relative Efficiency.After over 30 years of development, there are lots of derived and dedicated DEA models.The DEA method shows its important place and become one of the powerful tools for system analysis.The C2R model, which introduced by Charnes et al. (1978) and the BC2 model, introduced by Banker et al. (1984), are the basic models of DEA method.The triangle Area of Hohhot, Baotou and Ordos is the core economic unit in Inner Mongolia.In this study, the economic efficiency of primary industry of the countylevel units in Hohhot, Baotou and Ordos is evaluated by BC2 model with output only.Banker et al. (1984) study some models for estimating technical and scale inefficiencies in data envelopment analysis.Charnes et al. (1978) have a research of the measuring the efficiency of decision making unit.He (1995) analyze the data envelopment analysis with output (o r input) only and its application.Li-Chang et al. (2004) study the efficiency evaluation on equity finance of listed companies on basis of dea.Deng-Yue (2005) studies the empirical research on the commercial banks' efficiency based on data envelopment analysis.
In this study, we analyze a data envelopment based research on the economic efficiency of primary industry in hohhot, baotou and ordos.The triangle Area of Hohhot, Baotou and Ordos leads the whole economic development in Inner Mongolia.The economic efficiency of primary industry of the county-level units in Hohhot.Baotou and Ordos is evaluated by the data envelopment analysis in this study.It is concluded that the metric value can show objectively the development of the primary industry in each county-level unit.

THE SELECTION OF DECISION MAKING UNIT (DMU) AND THE BC 2 MODEL WITH OUTPUT ONLY
There are many types of industrial economic efficiency evaluation indexes.According to the goals, objects and data availability of the evaluation, labor productivity, output rate of material consumption and energy consumption rate are evaluated here.
Assuming LR j , WR j , RR j represent the labor productivity, output rate of material consumption, Output rate of energy consumption in a period of time of a certain area respectively, then the vector (LR j , WR j , RR j ) indicates the status of the economic benefits of the region in that period.And according to the result, we establish the BC2 model with output only shown as follows:   LR j = Y j /L j WR j = Y j /Cs j RR j = Y j /R j And Y j , L j , Cs j , R j represent the GDP, labor number, materials consumption and energy consumption of primary industry respectively.
3 ), then call the E j0 is the metric value of decision making unit (LR j0 , WR j0 , RR j0 ).

ANALYSIS OF THE ECONOMIC EFFICIENCY OF PRIMARY INDUSTRY IN HOHHOT, BAOTOU AND ORDOS
The economic efficiency data of primary industry of the county-level units in Hohhot, Baotou and Ordos in 2010 was calculated using the economic efficiency indicators above.Look at the Table 1.
Summarizing the data into the program with lingo 9.0, we can get the efficiency value of each county unit as shown in Table 2.
The metric value of each county-level unit is shown in Table 3.
Figure 1 the difference between the metric values of each county-level unit

CONCLUSION
We can find out the development of primary industry of Hohhot, Baotou and Ordos from the metric value.The metric value of Huimin District, Yuquan District, Tuoketuo County, Wuchuan County, GuyangCounty, Shiguai District, Dongsheng District, Dalate Banner, Zhungeer Banner, Hangjin Banner, Wushen Banner, Yijinhuoluo Banner is lower than 0.5.There are three reasons for the lower value.Firstly, there is less land but much labor engaged in primary industry, as Huimin District and Yuquan District.Secondly, some areas like Tuoketuo County, Wuchuan County and Guyang County are dependent mainly on consumption of resources and energy.Thirdly, some areas as Shiguai District, Dongsheng District, Dalate Banner, Zhungeer Banner, Hangjin Banner, Wushen Banner, Yijinhuoluo Banner are Resource-based regions, their primary industries are not developed enough or they have less room for development.
The metric value of Saihan District, Tumotezuo Banner, Helingeer County, Qingshuihe County, Donghe District, Kundulun District, Jiuyuan District, Tumoteyou Banner and Etuokeqian Banner is between 0.5 and 1.These areas are relatively dependent on the consumption of resources and energy.
The metric value of Xincheng District, Daerhanmaomingan Union Banner, Etuoke Banner is 1, it means these area's economic efficiency of primary industries is DEA efficient.Because these areas were weighted at animal husbandry industry and the industries are not dependent on the resources and energy and thus the output rate of material consumption and energy consumption rate are higher than those of other areas.
We can find out that the unbalanced development of primary industry of county-level units in Hohhot, Baotou and Ordos is limited by the region's natural and geographical conditions.Some area's primary industry makes concessions for their overall development and thus causes low efficiency.

Fig. 1 :
Fig. 1: Metric value of each country-level unit Among them:

Table 1 :
Data of economic efficiency of primary industry of the county-level units in Hohhot, baotou and ordos in 2010 RR in the table represent labor productivity, materials consumption and energy consumption rate respectively.The data sources are form Inner Mongolia Statistical Yearbook 2011 For the DMU's effective value: