CN109657999A - A kind of mixing dynamic agricultural machinery cooperation efficiency rating method based on SU-DEA Yu Malmquist index - Google Patents
A kind of mixing dynamic agricultural machinery cooperation efficiency rating method based on SU-DEA Yu Malmquist index Download PDFInfo
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Abstract
The mixing dynamic agricultural machinery cooperation efficiency rating method based on SU-DEA Yu Malmquist index that the invention discloses a kind of, this method can be used for solving the problems, such as the efficiency rating between the decision package for multiple same types that one group there is multi input, fecund to go out.This method comprises: based on adequacy principle, simplification principle, ga s safety degree principle and can quantitative principle select agricultural machinery cooperation's efficiency evaluation index, according to correlation test reject strong correlation index, determine agricultural machinery cooperation's efficiency evaluation index system；The mathematical programming model constructed by SU-DEA method determines the relative order of agricultural machinery cooperation's static efficiency；Make Malmquist index, to the dynamic efficiency of different year agricultural machinery cooperation.The weight of input, output-index of the invention can be found out by mathematical programming model, the relative order comparative analysis being more conducive to compared to traditional DEA method between decision package, solving DEA method in conjunction with Malmquist index can not keep agricultural machinery cooperation's efficiency rating method more perfect, scientific across the defect that year compares.
Description
Technical field
The present invention relates to agricultural machinery cooperation's efficiency rating fields, in particular to a kind of to be referred to based on SU-DEA and Malmquist
Several mixing dynamic agricultural machinery cooperation efficiency rating methods.
Background technique
2007, " People's Republic of China's farmer specialized cooperative society's method " issuing and implementation indicated that China's farmer professional closes
The development for making society has obtained jural guarantee.Hereafter, novel agricultural production and operation main body flourishes in China.Agricultural Machinery Specialty
Cooperative society is also rapidly increased as important one kind in farmer specialized cooperative society, quantity.The production method of crops
Large-scale agriculture is gradually transitioned into from traditional livestock operation to mechanized agricultural operation transition from the universal of small-scale agricultural machinery
The research and development and use of industry machinery.
The land in Heilongjiang Province gross area accounts for the 4.9% of China soil gross area up to 47.3 ten thousand square kilometres, is China's grain
One of main product province is also important commodity food planting base.Land in Heilongjiang Province in flakes, possesses agricultural cultivated area and reaches
3950.2 ten thousand hectares.Due to the double influence of local natural environment and economic factor, causes between twenty and fifty labour to be lost, plough per capita
Ground area is big, creates space for the use of agricultural machinery.In recent years, the central government and government, Heilongjiang Province pay much attention to and go out
A series of platform development of policies to encourage our province modern agricultural machinery Specialty Co-operative Organization, make Heilungkiang modern agricultural machinery Specialty Co-operative Organization
Construction achieve interim progress.
From 2003, start to emerge in large numbers with the small-scale agricultural machinery cooperation organization that cooperation forms carry out agricultural production, but at this time
Agricultural machinery cooperation not yet form scale effect.Start within 2008, Heilongjiang Province begins trying self-built modern agricultural machinery Professional Cooperation
Society, until 2016, the quantity of modern agricultural machinery Specialty Co-operative Organization is accumulative up to 1352, including paddy field cooperative society 279, dry land cooperation
1073, society covers 14 districts and cities, the whole province comprehensively.In past short 9 years, modern agricultural machinery Specialty Co-operative Organization is not only in number
It is skyrocketed through in amount, huge variation also occurs for construct effects of biology, modern agricultural machinery Specialty Co-operative Organization, Heilongjiang Province
Development achieves significant progress.
Summary of the invention
The mixing dynamic agricultural machinery cooperation efficiency rating based on SU-DEA Yu Malmquist index that the present invention provides a kind of
Method needs to select production function to solve the prior art, carries out parameter Estimation, can not be to having for traditional DEA evaluation method
Effect decision package carries out relative order and can not be across the defect of year comparative analysis.
To solve the above problems, the present invention is achieved through the following technical solutions:
A kind of mixing dynamic agricultural machinery cooperation efficiency rating method based on SU-DEA Yu Malmquist index, including with
Lower step:
Step 1, evaluation purpose is determined.The determination of evaluation purpose will lead to efficiency evaluation index and choose quantity and choose content
On differentiation, before carrying out efficiency rating, it is necessary first to explicit evaluation purpose；
Step 2, trade-off decision cells D MU.Agricultural machinery cooperation, districts and cities, Heilongjiang Province 14, which is chosen, in t period forms one
Reference set, wherein the agricultural machinery cooperation in jth area is denoted as DMUj, j=1,2, L, n；
Step 3, efficiency evaluation index system is established.According to efficiency evaluation index establishment principle, obtains same type agricultural machinery and close
The input-occupancy-output analysis data and output achievement data for making society are rejected redundancy index and are avoided by correlation test in statistical method
The overlapping of data between index, being formed includes r input-occupancy-output analysis and agricultural machinery cooperation's efficiency evaluation index that s output index is constituted
System.Wherein, t period jth area agricultural machinery cooperation DMUjI-th of input-occupancy-output analysis beI=1,2, L, r, t=1,2,
L,T.T period jth area agricultural machinery cooperation DMUjK-th of output index beK=1,2, L, s, t=1,2, L, T.Into
And obtain j-th of area DMU of T periodjInput-occupancy-output analysis X include: cooperative society manage area, agricultural machinery working expenditure, cooperative society
Number of employees.Output index Y includes: soil management income and operation income of doing farmwork for a soldier's family.
Step 4, each department agricultural machinery cooperation static efficiency is evaluated.Step 4.1, the agriculture of SU-DEA model evaluation prefectures and cities is utilized
Machine cooperative society efficiency；Step 4.2, the DEA relative efficiency of agricultural machinery cooperation, t period prefectures and cities sorts in solution procedure 4.1；Step
Rapid 4.3, it determines that investment amount of redundancy and output are in shortage according to the validity of DEA, new best throwing is provided to non-effective area
Enter output proportion.
Output in step 4.1 is oriented to SU-DEA model are as follows:
Wherein, θ is jth0The super efficiency value of a decision package (DMU)；ε is non-Archimedes's dimensionless；N is decision list
First number；The slack variable respectively output and input；λjFor Input and Output Indexes weight coefficient；θ,λj,For not
Know parameter, can be solved by model.
In step 4.2, the DEA validity of each department agricultural machinery cooperation is judged according to the resulting θ value of model solution:
If θ >=1, agricultural machinery cooperation, this area DEA is effective；
If θ < 1, agricultural machinery cooperation, this area DEA is invalid.
In step 4.3, if DEA is effective, θ >=1, corresponding weight coefficient vector λjFor unit vector, slack variable
It is 0；If DEA is invalid, θ < 1, corresponding weight coefficient vector λjFor non-unity vector, slack variableIt is not all 0.This
When,The respective items that are not zero indicate input should reduction value,The respective items being not zero indicate that output value answers increased value.
Step 5, each time agricultural machinery cooperation Dynamic Efficiency Analysis.Feelings are changed from overall efficiency using Malmquist index
Four condition, pure technical efficiency change conditions, scale efficiency change conditions and technological progress index aspects analyze different year agricultural machinery
The efficiency change conditions of cooperative society.
Step 5.1, Mlmquist index (total factor productivity index) is found out；
Step 5.2, by total factor productivity decomposing index；
Step 5.3, each index variation situation is analyzed.
In step 5.1, Malmquist index solving model are as follows:
Wherein, input and output vector of the decision package in t period and t+1 period uses (X respectivelyt,Yt) and (Xt+1,Yt+1) come
It indicates；It respectively represents using t period and t+1 period technology as the t period input and output vector of reference
Output distance function；If M0> 1, total factor productivity are promoted；If M0< 1, total factor productivity decline；If M0=1, it wants entirely
Plain productivity is constant.
In step 5.2, total factor productivity index (tfpch) can be analyzed to overall efficiency variability index and technological progress refers to
Number；Overall efficiency variability index can be analyzed to pure technical efficiency variability index and scale efficiency variability index.
To sum up, Malmquist productivity index can be decomposed are as follows:
M0(Xt,Yt,Xt+1,Yt+1)=techch × effch=techch × pech × sech
Overall efficiency variability index (effch) reflection is actual output and reason of the agricultural machinery cooperation under existing investment
By the gap of maximum output.
What technological progress index (techch) reflected is the situation of change in production proportions face in period, in principal measure period
Each decision package whether there is the progress of production technology.Techch > 1 illustrates that production proportions face edge moves up, otherwise before production
It moves downwards on edge.
Pure technical efficiency variability index (pech) indicates to generate in period in the case where existing technical conditions and scale are horizontal
The variation of relative productivity, for whether measuring the production of decision package closer to current production proportions face.
The increase of scale efficiency variability index (sech) primary metric Input Factors and output element is to total factor productivity
Influence, reflect decision package period in returns to scale state situation of change.
The numerical value of above-mentioned index is greater than 1, respectively correspond less than 1 and equal to 1 the variation of corresponding index to increase, decline and not
Become.
Compared to the prior art, the beneficial effects of the present invention are embodied in:
1. the present invention for other efficiency rating methods, is particularly suitable for solving the efficiency that mostly investment, fecund go out
Sequencing problem does not need the weight for determining evaluation index, and non-effective unit can also be given by also not needing selection production function
The adjustment direction of index and specific adjustment amount out.
2. the present invention carries out efficiency sequence using SU-DEA model, compared to CCR model, the BCC mould in traditional DEA model
For type, super-efficiency model is replaced Effective Decision-making Units by the linear combination of the investment, output index of other decision packages, is caused
Make to evaluate and does not include this decision package to be evaluated in the reference set of when institute reference.Put the decision package output in proportion
Greatly, and overall efficiency remains unchanged, output amplification ratio be super efficiency evaluation of estimate.Thus, it can effectively solve effective decision-making
The problem of relative order can not be carried out between unit.
3. the present invention combines Malmquist index, can agricultural machinery cooperation's efficiency to different year carry out dynamic evaluation, solution
DEA model of having determined can only handle the defect of cross-section data.Ensured agricultural machinery cooperation's efficiency research integrality and comprehensively
Property.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples.
Fig. 1 is investment, output index system figure used in the present invention.
Fig. 2 schematically shows flow charts of the invention.
Specific embodiment
Core of the invention is to provide a kind of mixing dynamic agricultural machinery cooperation effect based on SU-DEA and Malmquist index
Rate evaluation method.
Case study on implementation of the invention is described in detail below in conjunction with attached drawing, but the present invention can be limited by claim
Fixed and covering multitude of different ways is implemented, and described embodiments are only a part of the embodiments of the present invention, is not whole
Embodiment.
In the present invention, SU-DEA is the abbreviation of Super-Data Envelopment Analysis, and Chinese is super effect
Rate DEA is based on relative concept, according to multi objective investment and multi objective output, to same type department or list
Position carries out a kind of method of relative effectiveness or efficiency rating.DMU is the abbreviation of Decision Making Unit, Chinese
For decision package, tissue to be investigated is decision package in DEA method.Malmquist index, Chinese are raw for total factor
Yield index indicates the situation of change of total factor productivity, the analysis for dynamic efficiency variation issue.
Step 1, evaluation purpose is determined.The determination of evaluation purpose will lead to efficiency evaluation index and choose quantity and choose content
On differentiation, before carrying out efficiency rating, it is necessary first to explicit evaluation purpose；The most throwing of agricultural machinery cooperation, Heilongjiang Province
Enter fund and have been converted into fixed assets, therefore study under existing investment, the maximum output that can be obtained is with more realistic meaning；
Step 2, trade-off decision cells D MU.Agricultural machinery cooperation, Heilongjiang Province 14, which is chosen, in t period forms a reference
Collection, t=2012,2013, L, 2016.Wherein, the agricultural machinery cooperation in jth area is denoted as DMUj, j=1,2, L, 14；
Step 3, efficiency evaluation index system is established.According to efficiency evaluation index establishment principle, obtains same type agricultural machinery and close
The input-occupancy-output analysis data and output achievement data for making society, pass through the two-sided test side in 0.01 level of Spearman sample normality
Method carries out the correlation analysis between index, rejects the overlapping that redundancy index avoids data between index, and being formed includes 3 input-occupancy-output analysis
The agricultural machinery cooperation's efficiency evaluation index system constituted with 2 output indexs.Input-occupancy-output analysis includes: that cooperative society manages area, agriculture
Machine operation expenditure, cooperative society's number of employees.Output index includes: soil management income and operation income of doing farmwork for a soldier's family.
Step 4, each department agricultural machinery cooperation static efficiency is evaluated.Step 4.1, the agriculture of SU-DEA model evaluation prefectures and cities is utilized
Machine cooperative society efficiency；Step 4.2, the DEA relative efficiency of agricultural machinery cooperation, t period prefectures and cities sorts in solution procedure 4.1；Step
Rapid 4.3, it determines that investment amount of redundancy and output are in shortage according to the validity of DEA, new best throwing is provided to non-effective area
Enter output proportion.
Output in step 4.1 is oriented to SU-DEA model are as follows:
Wherein, θ is jth0The super efficiency value of a decision package (DMU)；ε is non-Archimedes's dimensionless；N is decision list
First number；The slack variable respectively output and input；λjFor Input and Output Indexes weight coefficient；θ,λj,For not
Know parameter, can be solved by model.
With 2016, for Border in Harbin Area agricultural machinery cooperation overall situation, linear programming model is established, it may be assumed that
The present invention selects Lingo11.0 software to solve above-mentioned model, it can be deduced that:
Other tables of regional agricultural machinery cooperation's overall situation in the index system designed by this paper of Heilongjiang Province can similarly be obtained
It is existing.
In step 4.2, sort according to the resulting θ value of model solution to Heilongjiang Province each department agricultural machinery cooperation's overall efficiency
Evaluation, as shown in the table.
In step 4.3, if DEA is effective, θ >=1, corresponding weight coefficient vector λjFor unit vector, slack variable
It is 0；If DEA is invalid, θ < 1, corresponding weight coefficient vector λjFor non-unity vector, slack variableIt is not all 0.This
When,The respective items that are not zero indicate input should reduction value,The respective items being not zero indicate that output value answers increased value.
According to the resulting slack variable of model solutionTo put into redundancy value and output deficiency value, with Heilongjiang Province 14 in 2016
For agricultural machinery cooperation, districts and cities overall efficiency, not up to efficiency optimization, the required adjustment situation of each index are as shown in the table.
Step 5, each time agricultural machinery cooperation Dynamic Efficiency Analysis.Feelings are changed from overall efficiency using Malmquist index
Four condition, pure technical efficiency change conditions, scale efficiency change conditions and technological progress index aspects analyze different year agricultural machinery
The efficiency change conditions of cooperative society.Step 5.1, the analysis Heilongjiang Province 2012-2016 each department agricultural machinery cooperation total factor is raw
Yield and its entire change situation of decomposition；Step 5.2, analysis five Heilongjiang Province Nian Jian, 14 agricultural machinery cooperation, districts and cities total factor is raw
Yield and its situation of change of decomposition.
Wherein, overall efficiency variability index (effch) reflection is practical production of the agricultural machinery cooperation under existing investment
Out with the gap of theoretical maximum output.
What technological progress index (techch) reflected is the situation of change in production proportions face in period, in principal measure period
Each decision package whether there is the progress of production technology.Techch > 1 illustrates that production proportions face edge moves up, otherwise before production
It moves downwards on edge.
Pure technical efficiency variability index (pech) indicates to generate in period in the case where existing technical conditions and scale are horizontal
The variation of relative productivity, for whether measuring the production of decision package closer to current production proportions face.
The increase of scale efficiency variability index (sech) primary metric Input Factors and output element is to total factor productivity
Influence, reflect decision package period in returns to scale state situation of change.
The numerical value of above-mentioned index is greater than 1, respectively correspond less than 1 and equal to 1 the variation of corresponding index to increase, decline and not
Become.
Step 5.1, using DEAP2.1 software, the dynamic efficiency of agricultural machinery cooperation, the Heilongjiang Province 2012-2016 is carried out
Analysis, agricultural machinery cooperation, Heilongjiang Province total factor productivity entire change situation and its decomposition are as shown in the table.
Step 5.2, using DEAP2.1 software, to 2012-2016, five Heilongjiang Province Nian Jian, 14 agricultural machinery cooperation, districts and cities
Dynamic efficiency analyzed, the situation of change of 14 agricultural machinery cooperation, districts and cities total factor productivity of Heilongjiang Province and its decomposition is as follows
Shown in table.
The above are the preferred embodiment of the present invention, but are not intended to restrict the invention, and those skilled in the art is to being retouched
Modification, equivalent replacement or the use similar method that the specific embodiment stated makes substitute, as long as determining not over the claims
The range of justice, is within the scope of protection of the invention.
Claims (7)
1. a kind of mixing dynamic agricultural machinery cooperation efficiency rating method based on SU-DEA Yu Malmquist index, feature exist
In, comprising the following steps:
Step 1, evaluation purpose is determined.Evaluation purpose directly affects efficiency evaluation index and chooses quantity and choose the area in content
Point, therefore before carrying out efficiency rating, it is necessary first to explicit evaluation purpose；
Step 2, trade-off decision cells D MU.N of one group of same type are chosen in t period and there is identical investment, output index
N agricultural machinery cooperations form a reference set, wherein the agricultural machinery cooperation in jth area is denoted as DMUj, j=1,2, L, n；
Step 3, efficiency evaluation index system is established.According to efficiency evaluation index establishment principle, same type agricultural machinery cooperation is obtained
Input-occupancy-output analysis data and output achievement data, redundancy index is rejected by correlation test in statistical method and is avoided between index
The overlapping of data, being formed includes r input-occupancy-output analysis and agricultural machinery cooperation's efficiency evaluation index system that s output index is constituted.
Wherein, j-th of area agricultural machinery cooperation DMU of t periodjI-th of input-occupancy-output analysis beI=1,2, L, r, t=1,2, L, T.
J-th of agricultural machinery cooperation DMU of t periodjK-th of output index beK=1,2, L, s, t=1,2, L, T.
Step 4, each department agricultural machinery cooperation static efficiency is evaluated.Using each agricultural machinery cooperation's efficiency of SU-DEA model evaluation, with
The DEA relative efficiency sequence of t period agricultural machinery cooperation is solved, and investment amount of redundancy and output are determined according to the validity of DEA
It is in shortage, new best input and output are provided to non-effective agricultural machinery cooperation and are matched；
Step 5, each time agricultural machinery cooperation Dynamic Efficiency Analysis.Using Malmquist index from overall efficiency change conditions, pure
Four technical efficiency change conditions, scale efficiency change conditions and technological progress index aspects analyze different year agricultural machinery cooperation
Efficiency change conditions.
2. the agricultural machinery cooperation efficiency rating side according to claim 1 based on SU-DEA in conjunction with Malmquist index
Method, which is characterized in that the input-occupancy-output analysis includes: that cooperative society manages area, agricultural machinery working expenditure, cooperative society's number of employees.
3. the agricultural machinery cooperation efficiency rating side according to claim 1 based on SU-DEA in conjunction with Malmquist index
Method, which is characterized in that the output index includes: soil management income and operation income of doing farmwork for a soldier's family.
4. the agricultural machinery cooperation efficiency rating side according to claim 1 based on SU-DEA in conjunction with Malmquist index
Method, which is characterized in that the SU-DEA model in the step 4 are as follows:
Wherein, θ is jth0The super efficiency value of a decision package (DMU)；ε is non-Archimedes's dimensionless；N is decision package
Number；The slack variable respectively output and input；λjFor Input and Output Indexes weight coefficient；θ,λj,For unknown ginseng
Number, can be solved by model.
5. according to claim 4, which is characterized in that judge each department agricultural machinery cooperation according to the resulting θ value of model solution
DEA validity:
If θ >=1, agricultural machinery cooperation, this area DEA is effective, and slack variable is 0；
If θ < 1, agricultural machinery cooperation, this area DEA is invalid, and slack variable is not all 0.
6. the agricultural machinery cooperation efficiency rating side according to claim 1 based on SU-DEA in conjunction with Malmquist index
Method, which is characterized in that the Malmquist exponential model in the step 5 are as follows:
Wherein, input and output vector of the decision package in t period and t+1 period uses (X respectivelyt,Yt) and (Xt+1,Yt+1) indicate； It respectively represents using t period and t+1 period technology as the production of the t period input and output vector of reference
Distance function out；If M0> 1, total factor productivity are promoted；If M0< 1, total factor productivity decline；If M0=1, total factor is raw
Yield is constant.
7. Malmquist index (total factor productivity (tfpch)) according to claim 6, which is characterized in that can be into one
Step is decomposed into technological progress index (techch) and overall efficiency variability index (effch).
Overall efficiency variability index can be decomposed into pure technical efficiency variability index (pech) and scale efficiency variability index again
(sech) product.
To sum up, Malmquist productivity index can be decomposed are as follows:
M0(Xt,Yt,Xt+1,Yt+1)=techch × effch=techch × pech × sech
The numerical value of above-mentioned index is greater than 1, respectively correspond less than 1 and equal to 1 the variation of corresponding index to increase, decline and constant.
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| 崔宁波，张正岩: "基于超效率DEA模型和Malmquist指数的黑龙江省农业生产效率测度", 《北方园艺》 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110782112A (en) * | 2019-06-03 | 2020-02-11 | 中国农业科学院农业信息研究所 | Method and system for estimating greenhouse gas emission reduction potential in crop production |
| CN110782112B (en) * | 2019-06-03 | 2022-04-22 | 中国农业科学院农业信息研究所 | Method and system for estimating greenhouse gas emission reduction potential in crop production |
| CN113689313A (en) * | 2021-08-13 | 2021-11-23 | 交通运输部规划研究院 | Method and device for determining generation efficiency of electronic license of transportation |
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