Food Security and Agricultural Sustainability: During the 60’s it was expected that in the near future, there would not be enough food to cope with the growing population. During the late 70’s, global food production grew to a level that was able to cope with the increasing population. Since then, the focus has been shifted towards the problems of insufficient food supplies in major parts of the world and concerns over intensive farming. Due to this, there has been an increasing amount of interest into long term food security due to problems such as land degradation. As a result of the need to target levels of pollution and sustainable farming, the UN introduced a programme titled Agenda 21. This however, was seen as too general for local scales and lead to the Brundtland report. This ensured that the later generations would be able to meet there own farming needs whilst still working towards improvement. The Food and Agricultural Organisation (FAO) of the UN have also offered a more specific description to lead towards sustainable farming that is more socially acceptable. A major issue is conflict management, between land degradation and productivity rise. In various practices the Total Factor Productivity (TFP) is used as a yardstick for comparison; however there are others. To gain a better understanding of the socio-economic aspects of land use and climate change, more research has been determined as necessary into1: • • • • • •
Agricultural impacts in developing regions Influence of climate scenarios on water availability in sensitive areas Socio-economic impacts of changes in human health Socio-economic impacts of environmentally induced migration Impacts of extreme weather events based on risk assessment Socio-economic impacts of changes in ecosystems and biodiversity
As the quality of the soil is one of the main contributing factors to the yield of the crop, it is important at maintain it at a reasonable level. The condition of the soil is improved by actively coping with soil pollution through regulatory and market measures. It is also improved by seeking feasible solutions for clean up areas e.g. implementing the bronwfield policy to repair damaged areas..
Rough set analysis as a tool for Meta-Analysis: Meta analysis uses previous research findings to look for any links which may be transferred to other, unexplored cases. The statistics of this process is well developed, especially when using quantitative data. Since the data used for this example was soft data, the standard techniques could not be implemented. To
compensate for this, a fairly new method was used for identifying patterns in qualitative data. This is known as rough set theory. Since rough set theory is in the relatively early stages, there are some problems: • • • • • •
Representation if uncertain or imprecise knowledge Evaluation of quality of available information with respect to consistency and presence or absence of repetitive data patterns Identification and evaluation of data dependencies Approximate pattern classification Reasoning with uncertainty Information-preserving data reduction
In this study, rough set theory was used to determine whether there are factors that systematically affect the variation in productivity in agricultural and agrofood sector. Decision rules are used to determine the importance of information. If attributes occur very frequently, it exerts more dominance on that decision rule. If the attribute occurs in every instance, it is seen as a dominant critical success factor.
Application: Two tables are shown in the document listing the productivity growth in the farm sector for OECD’s, and the growth in the productivity growth in the agro-food sector. The data from these tables then undergoes a rough set analysis. This is undertaken by classifying the codification for attributes and decision variables. The codes for these variables are shown in tables 3 and 4. Tables 5 and 6 present the results. Table 1 Studies of productivity growth in the farm sector of the OECD countries N 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1
Input -0.10 -0.10 -0.10 -1.06 0.01 1.05 -0.40 2.40 1.40
Outpu t 1.10 1.90 2.50 1.17 2.37 3.57 2.60 0.20 2.60
1.90
Switzerland Switzerland Switzerland
Country Australia Australia Canada Canada Canada Canada Canada Canada Canada Canada
Time Period 1971 1981 1971 1990 1981 1990 1962 1970 1962 1978 1970 1978 1962 1971 1962 1990 1971 1981
TFP 1.20 2.00 2.60 2.23 2.36 2.52 3.00 -2.20 1.20
-0.50
1981
1990
-2.40
-1.20
1.10
1973
1981
2.30
-1.10 -1.10
0.90 0.00
1973 1981
1988 1988
2.00 1.10
3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 0 3 1 3 2 3 3 3 4 3 5 3 6 3 7 3 8 3 9 4
U.S.
0.88
1.85
1953
1957
0.97
U.S.
0.25
2.92
1957
1960
2.67
U.S.
0.24
1.90
1960
1969
1.66
U.S.
0.68
1.06
1969
1973
0.38
U.S.
0.72
2.75
1973
1979
2.03
U.S.
0.50
2.20
1973
1988
1.70
U.S.
0.08
1.21
1962
1970
1.13
U.S.
0.31
1.72
1962
1978
1.41
U.S.
0.55
2.22
1970
1978
1.67
U.S.
0.14
1.66
1950
1960
1.52
U.S.
0.17
1.76
1950
1982
1.59
U.S.
0.05
0.84
1960
1970
0.79
U.S.
0.34
2.60
1970
1982
2.26
-0.30
1.60
1967
1987
1.90
France
0.10
2.30
1967
1987
2.20
The Netherlands
1.40
4.00
1967
1987
2.60
Belgium
-0.20
1.80
1967
1987
2.00
Luxembourg
-1.90
1.80
1967
1987
3.70
U.K.
-0.20
1.60
1967
1987
1.80
Ireland
0.80
2.60
1967
1987
1.80
Italy
0.80
1.80
1974
1987
1.00
Denmark
0.70
2.60
1974
1987
1.90
Germany
-0.40
1.30
1973
1989
1.70
France
-0.50
1.90
1973
1989
2.40
Italy
-0.60
1.70
1973
1989
2.30
0.40 0.00
3.10 1.20
1973 1973
1989 1989
2.70 1.20
Germany
The Netherlands Belgium/Luxemb
0 4 1 4 2 4 3 4 4 4 5 4 6 4 7 4 8 4 9 5 0 5 1 5 2 5 3 5 4 5 5 5 6
ourg U.K.
-0.20
1.50
1973
1989
1.70
0.90
2.30
1973
1989
1.40
Denmark
-0.10
2.30
1973
1989
2.40
Germany
0.00
1.70
1965
1985
1.70
France
0.10
1.80
1965
1985
1.70
-0.60
1.60
1965
1985
2.20
2.60
4.20
1965
1985
1.60
0.00
2.20
1965
1985
2.20
-0.30
2.20
1965
1985
2.50
0.90
2.90
1965
1985
2.00
-0.10
1.50
1965
1985
1.60
The Netherlands
1.40
3.60
1950
1960
2.20
The Netherlands
0.10
3.80
1960
1970
3.70
The Netherlands
1.10
4.40
1970
1980
3.30
The Netherlands
-0.50
2.40
1980
1988
2.90
The Netherlands
0.60
3.60
1950
1988
3.00
Ireland
Italy The Netherlands Belgium/Luxemb ourg U.K. Ireland Denmark
Table 2 Studies of productivity growth in the agro-food sectors of the OECD countries
A N 1 2 3 4 5 6
Country Canada Canada Canada Canada Canada Canada
Sector Coverage Food Beverage Manufacturing Food and Beverage Manufacture Food and Beverage
7 Canada 8 Canada
Food and Beverage Food
Method Index number Index number Index number Index number Index number Econometric cost function Econometric production function Econometric cost function
Time Period 61 86 61 86 61 86 62 85 62 85 61 82 61 61
82 79
9 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 2 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 3 0 3 1 3 2 3 3 3 4 3 5 3
Canada
Food and Beverage
Index number
62
77
Canada
Econometric cost function Econometric production function
62
75
Australia
Food and Beverage Food, Beverage and Tobacco
76
90
UK
Food
Input-output
54
63
UK
Food
Input-output
68
74
UK
Agriculture
Input-output
79
84
UK
Agriculture
Input-output
54
63
UK
Agriculture
Input-output
68
74
UK
Agriculture
79
84
UK
Food
79
86
UK
Drink
79
86
UK
Manufacturing
Input-output Econometric production function Econometric production function Econometric production function
79
86
US
Food
Index number
58
82
US
Food
Index number
58
72
US
Index number Cobb-Douglas production function
72
82
Australia
Food Food, Beverage and Tobacco
76
90
US
Food
Index number
50
77
US
Food
Index number
50
72
US
Food
72
77
60
85
60
85
60
85
60
85
60
85
60
85
Japan
Food
Index number Solow's growth method Solow's growth method Solow's growth method Solow's growth method Solow's growth method Solow's growth method
Italy
Food
Labour productivity
70
80
Italy Australia
Food Food
Labour productivity Labour productivity
53 80
63 85
Italy Canada Germany
Food Food Food
UK
Food
US
Food
accounting accounting accounting accounting accounting accounting
6 3 7 3 8 3 9 4 0 4 1 4 2 4 3 4 4 4 5 4 6 4 7 4 8 4 9 5 0
Austria
Food
Labour productivity
80
85
Belgium
Food
Labour productivity
80
85
Canada
Food
Labour productivity
80
85
Denmark
Food
Labour productivity
80
85
Finland
Food
Labour productivity
80
85
France
Food
Labour productivity
80
85
Germany
Food
Labour productivity
80
85
Ireland
Food
Labour productivity
80
85
Italy
Food
Labour productivity
80
85
Japan Netherlan ds
Food
Labour productivity
80
85
Food
Labour productivity
80
85
Norway
Food
Labour productivity
80
85
Sweden
Food
Labour productivity
80
85
UK
Food
Labour productivity
80
85
Table 3 Codification of variables of studies related to the farm sector Condition Attributes: A1 - Country Other Canada Australia USA Large European UK Countries Germany Italy France Small European Denmark Countries Finland Netherlan ds Sweden Norway Belgium
Code
Code 1 1 1 2 2 2 2 3 3 3 3 3 3
A2 Input
A3 Output
Less than -0.5 Between -0.4 and -0.1 Between 0.0 and 0.4 Between 0.5 and 0.9 More than 1.0
1 2 3 4 5 Code 1
Less than 1.5 Between 1.6 and 2.6 More than 2.5
2 3
Time period: Code A4 - Starting Point
Before 1960 1970 1980
1 2 3
Code A5 Length
10 Years 20 Years 30 Years
1 2 3
Decision Variables: Total Factor Productivity
Less than 1.5 Between 1.6 and 2.5 More than 2.5
Code 1 2 3
Table 4 Codification of variables of studies related to the agro-food sector Condition Attributes: A1 - Country Other Canada Australia USA Asia Japan Large European UK Countries Germany
Cod e 1 1 1 2 3 3
Italy France Denmark Finland Netherla nds Sweden Norway Belgium
Small European Countries
A2 - Sector Coverage
A3 - Method Used
4 4 4 4
Food Beverages Manufacturing Food and Beverages Food, Beverages and Tobacco Agriculture
Index number Econometric cost function Econometric production function Input-output Cobb-Douglas production function Solow growth accounting method Labour productivity
Time Period: Co de A4 - Starting Point
3 3 4 4
19 50 19 60 19
1 2 3
Cod e 1 2 3 4 5 6
Cod e 1 2 3 4 5 6 7
70 19 80
4 Cod e
A5 Length
10 Years 20 Years 30 Years
1 2 3
Decision Variables: Average Percentage Change
Less than 1% Between 1% and 2% More than 2%
Cod e 1 2 3
Table 5 Information system of the studies related to the farm sector after codification Object s 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
A1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1
A2 2 2 2 1 3 5 2 5 5 5 1 1 1 4 3 3 4 4 4 3 3
A3 1 2 2 1 2 3 3 1 3 1 1 1 1 2 3 2 1 3 2 1 2
A4 2 2 3 1 1 2 1 1 2 3 2 2 3 1 1 1 2 2 2 1 1
A5 1 2 1 1 2 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1
D 1 2 3 2 2 3 3 2 1 2 2 2 2 3 3 3 1 2 2 1 1
22 1 4 23 1 3 24 1 3 25 1 3 26 1 3 27 2 2 28 2 3 29 3 5 30 3 2 31 3 1 32 2 2 33 3 4 34 2 4 35 3 4 36 2 2 37 2 1 38 2 1 39 3 3 40 3 3 41 2 2 42 3 4 43 3 2 44 2 2 45 2 3 46 2 1 47 3 5 48 3 3 49 2 2 50 3 4 51 3 2 52 3 3 53 3 3 54 3 5 55 3 1 56 3 4 Table 6 Information system the codification Object s 1 2 3 4 5 6 7
A1 1 1 1 1 1 1 1
A2 1 2 3 4 3 4 4
2 2 1 2 2 1 1 1 2 1 3 1 1 1 1 1 3 2 1 2 3 1 1 3 2 1 2 2 3 1 2 3 2 1 2 2 2 1 2 3 2 1 2 2 3 1 2 2 2 2 1 3 3 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 1 2 2 2 1 2 2 3 1 2 1 2 1 2 2 2 1 2 2 3 1 2 2 1 1 2 2 3 2 1 2 3 1 1 3 3 2 1 3 2 3 1 3 3 1 3 3 of the studies related to the agro-food sector after
A3 1 1 1 1 1 2 3
A4 2 2 2 2 2 2 2
A5 3 3 3 3 3 3 3
D 1 1 2 1 1 1 1
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 2 2 1 3 2 2 1 4 4 1 4 4 2 2 4 2 3 4 4 4 2
1 4 4 5 1 1 6 6 6 6 1 2 3 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 2 3 4 4 4 4 4 4 3 3 3 1 1 1 5 1 1 1 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
2 2 2 3 1 2 3 1 2 3 3 3 3 1 1 3 3 1 1 3 2 2 2 2 2 2 3 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
2 2 2 2 1 1 1 1 1 1 1 1 1 3 2 2 2 3 3 1 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 2 2 1 2 1 2 4 4 4 1 1 1 1 1 1 1 3 2 3 4 3 3 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2
Table 7 Accuracy and quality of classification of the decision variable for the farm sector Class of decision Class of Lower Upper decision Accuracy of approximation approximation dependant approximati number of variable on number of objects objects 1 0.500 7 14 2 1.000 31 31 3 0.611 11 18 Accuracy of approximation : 0.777 Quality of approximation : 0.875 Core of attributes : A1, A2, A3, A4, A5 Table 8 Accuracy and quality of classification of the decision variable for agrofood sector Class of decision Lower approximation
Class of decision Accuracy of dependant approximati variable on number of objects 1 0.5862 17 2 0.4167 10 3 0.1667 1 4 0.6250 5 Accuracy of classification : 0.4925 Quality of classification : 0.6600 Core of attributes : A1, A2, A3, A4
Upper approximation number of objects 29 24 6 8
Results: To utilise these results there is a need to develop a classification algorithm, to then allow for predictions to be made. The algorithm may also be used for the classification of new values. It was noted that not all of the rules are equally important or reliable. In the case study there were 23 exact rules and 3 approximate rules for the Total Food Productivity and 13 exact rules and 5 approximate rules for the agro-food sector. As many of the rules are based only on observations, the quality can be quite low. To decide which rules were most relevant, they were compared using a strength method to simplify the decision table to a few rules.
Conculsion: This paper shows the potential for rough set theory to allow for future predictions of growth in the farm sector. This could be applied to allow for predictions of
yields of crops for the year to provide a better insight into the amount of food being produced, and thus the amount needed to import/ available to export.
1: Van Ierland and Klaasen (1996)