Min SHI，Zhendong CUI

Agricultural College of Yanbian University，Yanji133002，China

1 Introduction

Inner Mongolia，officially Inner Mongolia Autonomous Region or NeiMongol Autonomous Region，is an autonomous region of the People's Republic of China，located in the north of the country，containing most of China's border with Mongolia（the rest of the China-Mongolia border is taken up by the Xinjang and Gansu provinces） and a small section of the border with Russia．Inner Mongolia is rich in farming and animal husbandry resources， and it is one of China's 13 major grain producing areas（2010）， and the total annual number of livestock has been stabilized at over100 million for nine consecutive years（2013）．Yield of milk，meat and other animal products ranks first in the country， and it becomes an important national commodity grain base and livestock base．From the aggregate，the added value of primary industry in Inner Mongolia was 159．94 billion yuan in 2013，3．06 times that in 2004，an average annual increase of 11．8%．From the structure，the total output value of farming，forestry，animal husbandry and fishery in Inner Mongolia was 244．93 billion yuan in 2012， and the output value of farming and animal husbandry was 87．65 billion yuan and 111．89 billion yuan，respectively，accounting for 35．79% and 45．68%of total output value respectively．Both farming and animal husbandry have made great strides．The changes in animal husbandry industrial structure will inevitably bring about development of farming and animal husbandry and increase in income of farmers and herdsmen．Using the grey relational analysis，we analyze the industrial structure of animal husbandry in Inner Mongolia，in order to provide a reference for optimizing the industrial structure of animal husbandry， and promoting the development of farming and animal husbandry．

2 Research methods，data sources and indicator selection

2．1 Research methodsGrey relational analysisuses a specific concept of information．It defines situations with no information as black， and those with perfect information as white．However，neither of these idealized situations ever occurs in real world problems．In fact，situations between these extremes are described as being grey，hazy or fuzzy．Therefore，a grey system means that a system in which part of information is known and part of information is unknown．With this definition，information quantity and quality form a continuum from a total lack of information to complete information—from black through grey to white．Since uncertainty always exists，one is always somewhere in the middle，somewhere between the extremes，somewhere in the grey area．Grey analysis then comes to a clear set of statements about system solutions．Atone extreme，no solution can be defined for a system with no information．At the other extreme，a system with perfect information has a unique solution．In the middle，grey systems will give a variety of available solutions．Grey analysis does not attempt to find the best solution，but does provide techniques for determining a good solution，an appropriate solution for real world problems．The steps of grey relational analysis are as follows：

Selecting the reference sequenceX0＝｛x0（k），k＝1，2，…，n｝；comparative sequenceXi＝｛xi（k），k＝1，2，…，n｝，（i＝1，2，…，m）．

Due to difference in the data units of the reference sequence and comparative sequence，there is a need to make the original sequence dimensionless．The commonly used methods include initial value，mean value and interval value．This analysis uses the initial value method， and its formula is as follows：

Then the grey relational degreeγ（X0，Xi）ofX0andXiis defined as follows：

2．2 IndicatorselectionWhen analyzing the internal structure of total output value of farming，forestry，animal husbandry and fishery，the reference sequence is the total output value of farming，forestry，animal husbandry and fishery， and the comparative sequence is the total output value of farming，total output value of forestry，total output value of animal husbandry， and total output value of fishery．When analyzing the internal structure of animal husbandry，the reference sequence is the total output value of animal husbandry（X0／104yuan）；the comparative sequence ismilk production（X1／104t），beef production（X2／104t），pork production（X3／104t），egg production（X4／104t），mutton production（X5／104t），finewool production（X6／104t），goat wool production（X7／104t），semi-fine wool production（X8／104t）， and cashmere production（X9／104t）．

2．3 DatasourcesThe data used in thisarticle are fromChina StatisticalYearbookandInnerMongoliaStatisticalYearbookfrom 2004 to 2013．

3 Grey relational analysis of animal husbandry industrial structure in Inner Mongolia

3．1 GreyrelationalanalysisoftheinternalstructureofagriculturaleconomyinInnerMongoliaWe select total output value of agriculture（X1），total output value of farming（X2），total outputvalue of forestry（X3），total out put value of animal husbandry（X4），total output value of fishery（X5）as the related behavioral factors for grey relational analysis，as shown in Table 1．

Table 1 Original sequence for grey relational analysis Unit：108 yuan

Table 2 The absolute relational degree，relative relational degree and comprehensive relational degree between main behavioral factors and related behavioral factors

From Table 1 and Table 2，it can be found that during 2003－2012，the output value of agriculture and animal husbandry occupied an overwhelmingly dominant position in the total output value， and the growth of total output value of animal husbandry was faster than that of agriculture．Within the agricultural economy，in terms of the impact on main behavior，various relevant behaviors are in the order of total output value of agriculture＞total output value of animal husbandry＞total output value of farming＞total output value of forestry＞total output value of fishery．If we exclude the industrial and commercial output value of rural households and output value from the collection of wild plants，they are in the order of total output value of animal husbandry＞total output value of farming＞total output value of forestry＞total output value of fishery．Conspicuously，the animal husbandry economy has become the most important sector in the agricultural economy．Horizontally，the comprehensive relational degree of output value of farming and animal husbandry is close，indicating that the development trend of farming and animal husbandry is similar to that of＂large-scale agriculture＂， and the complementarity between farming and animal husbandry is obvious．

3．2 GreyrelationalanalysisoftheinternalstructureofanimalhusbandryeconomyinInnerMongoliaWe choose total output value of animal husbandry（X0）as the main behavioral factor， andmilk production（X1），beef production（X2），pork production（X3），egg production（X4），mutton production（X5），fine wool production（X6），goat wool production（X7），semi-fine wool production（X8） and cashmere production（X9）as the relevant factors，to establish the indicator system for the grey relational analysis of the internal structure of animal husbandry economy， and build the time series group for grey relational analysis based on the data，as shown in Table 3．First，we perform the nondimensionalization and calculate the absolute difference between main behavior series and related behavior series，as shown in Table 4．Second，from Table4，the range can be calculated（xmax：3．1526；xmin：0．0000）， and the grey relational degree is shown in Table 5．In terms of the grey relational degree in Table 5，the factors are sequenced in the order of milk production＞mutton production＞beef production＞goat wool production＞cashmere production＞egg production＞fine wool production＞pork production＞semi-fine wool production．Thus it can be found that the main factors causing changes in total output value of animal husbandry in Inner Mongolia during 2003－2012 are the production of milk，mutton，beef and goat wool（0．7 and above），followed by the production of cashmere，eggs，fine wool，pork and semi-fine wool．It indicates that the industries of dairy cow，sheep，beef cattle and goat wool have played a significant role in promoting the development of animal husbandry in Inner Mongolia over the past decade while the industries of pig，egg and cashmere have played a weak role in promoting the development of animal husbandry．

Table 3 The time series group for grey relational analysis Unit：108 yuan，104 t

4 Conclusions and recommendations

4．1 ConclusionsThe output value of agriculture and animal husbandry plays a decisive role in promoting the development of agricultural economy， and the animal husbandry economy makes the highest contribution to the total output value of farming，forestry，animal husbandry and fishery．It can be found that there is strong complementarity between farming economy and animal husbandry economy，but the level of development of forestry and fishery is low， and forestry and fishery need to be improved．From the internal structure of animal husbandry economy，dairy，sheep，cattle and goat wool industries have the greatest impact on animal husbandry economy，but the impact of pigs，eggs and cashmere industries is small，indicating that the dairy cow，beef and mutton industries have become the driving force of economic development of animal husbandry while the advantages of traditional cashmere industry gradually decline．

4．2ecommendations（i）It is necessary to stabilize the dominant position of farming and animal husbandry in the agriculturaleconomy in Inner Mongolia，increase policy and financial support， and use farming and animal husbandry subsidies and insurance to enhance the enthusiasm for production and ensure the supply of agricultural and livestock products．（ii）It is necessary to continue to adjust and optimize the internal structure of the agricultural economy，consolidate the dominance of farming and animal husbandry economy，accelerate the development of forestry and fishery economy， and efficiently combine the farming，animal husbandry，forestry and fishery，to make agricultural industry structure more reasonable and advantages of agricultural economy more obvious．（iii）It is necessary to reasonably guide the development of various industries within animal husbandry，make dairy product and beef and mutton industry become the leading industry， and make the egg，pig and cashmere industry become the characteristic competitive industry．

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