Relative Price Index Approach for Comparing Farming System Models K.K. Saxena, K.P. Singh, V. S. Kadian & S.N. Singh Department of Agronomy, CCS Haryana Agricultural University, Hisar –125 004 (Haryana) India. Abstract Several types of deterministic and probabilistic models have been used for making comparison of various systems. In agricultural systems particularly farming systems, numbers of methodologies and approaches have been suggested for developing models based on resource use efficiency, output and economic analysis. Most of the models and indices used so far have been lacking in their consistency due to variation of prices from year to year. Thus studies were conducted at CCS Haryana Agricultural University to work out an index based on fixed prices (base 1982) which has been termed as Link Relative Index (LRI). The LRI of arable farming 2.5 acre (1.0 ha) irrigated land and LRI of arable farming + one crossbred cow on 2.5 acre (1.0 ha) irrigated land (farmer’s practice) have been considered as standard LRI(100). It was observed that Link Relative Index (LRI) computed on the basis of price index is an efficient index for comparing various farming system models. On the basis of these studies it is revealed that computed LRIs gave a good measure of comparison among various farming system models and this approach can be used for identifying suitable farming systems for various farming situations. The pattern of net income and coefficient of variation also suggests that LRI computed in this study is an efficient index for comparing farming systems . Introduction Integrated mixed farming systems are being recommended for small holdings in developing countries (Macadam, 1988; Singh et al.,1993; Devadoss et al., 1985 and Reijntjes et al. 1996). Various methodologies and approaches for comparing economic viability and adaptability of these farming system models have been advocated under different situations (Morley and White, 1985; Bennett and Macpherson, 1985). However, these approaches lack consistencies due to variations in prices during different years. Keeping these facts in view, a new approach, based on fixed price of a base year has been developed and relative price indices have been worked out for various farming system models and used for comparing them. Materials and Methods The data on various items of expenditure viz.; green fodder, dry fodder, concentrate, labour, depreciation on fixed cost and interest on working capital, etc. and income viz.; sale of the milk, appreciation in value of animals, crop produce and by-products, sale of followers, etc. were recorded for various farming systems which were in operation at different size holdings ranging from 1.0 acre (0.4 ha) to 4.0 acres (1.5 ha) irrigated land at the research farm of Department of Agronomy, Chaudhary Charan Singh Haryana Agricultural University, Hisar from 1984-85 to 1995-96. The economics of various farming systems for different years (Table 1) were worked out on the basis of the prices of inputs and outputs prevailing during that year. Yearly net income was converted into modified net income on 1982 prices by considering annual inflationary factor of prices in Hisar district (Statistical Abstract, Haryana, 1995-96). Pure arable and arable farming + one crossbred cow on 2.5 acres (1.0 ha.) land were considered as the farmer’s practice as about 35% of the total farmers in Haryana belong to this size of land holding. The net income based on 1982 prices of these farming systems were considered as 100 (base). Indices relative to these two farming system models were worked out separately and termed as link relative index (LRI) by using following formula: NI Link Relative Index (LRI) 1 x 100 NI0 NI0 - mean net income of arable farming/farmer’s practice on 2.5 acre (1.0 ha) (base 1982 prices). NI1 - mean net income of the system (base 1982 prices). The LRI were computed by taking either arable farming or farmer’s practice as the standard base among farming system models. Results LRI computed based on pure arable farming showed that highest LRI was obtained with mixed farming on 2.5 acres (1.0 ha.) land with three crossbred cows, which was followed by mixed farming on 2.5 acres (1.0 ha.) land with three buffaloes. Other farming system models viz.; arable farming + 1 crossbred cow on 2.5 acres (1.0 ha) land, mixed farming either with crossbred cows or buffaloes on 4.0 acres (1.5 ha) or 1.5 acres (0.6 ha) or 1.0 acre (0.4 ha) land gave lesser LRI than the standard one. Negative LRI observed with mixed farming of buffaloes on 1.0 acre (0.4 ha), 1.5 acres (0.6 ha) and 4.0 acres (1.5 ha) land. The results clearly indicate that LRI of mixed farming of three crossbred cows on 2.5 acres (1.0 ha) land was 2.76 times to arable farming on 2.5 acres (1.0 ha) land and that of mixed farming of three buffaloes on 2.5 acres (1.0 ha) land was 1.26 times. In the case when LRI were computed on the basis of arable farming + 1 crossbred 2 cow on 2.5 acres (1.0 ha) land, a value of LRI of 550 was obtained with mixed farming + three crossbred cows on 2.5 acres (1.0 ha) land which was followed by mixed farming of 3 buffaloes on 2.5 acres (1.0 ha) land. Arable farming + 1 crossbred cow on 4.0 acres (1.5 ha) land, arable farming on 2.5 acres (1.0 ha) land and mixed farming with 1 crossbred cow on 1.5 acres (0.6 ha) land gave higher indices than the farmer’s practice. Other models gave lower indices than the farmer’s practice. This index also proved to be a good indicator for comparison of various farming systems. Discussion When we compare different farming system models on the basis of average actual net income, the differences cannot be compared precisely due to variations in prices in different years and, therefore, it is necessary that the net income for all years should be brought to a particular level so that the income can be converted into actual net income on a standard price base. In this case, the prices of 1982 were considered as the base level prices and inflationary measures of different years were taken into consideration for converting the price into actual price. The C.V.s worked out for various values of indices gave wide variations in income obtained during different years due to factors like consumption of inputs, cost of inputs, prices of outputs, etc. However the values of C.Vs in most of the cases were within the tolerance limit. This indicates that LRI calculated on the basis of these net income based on fixed based prices is a good measure for comparing farming systems models. During some years C.V.values were very high due to wide fluctuations in weather conditions, which affected the overall productivity and production, and thus income in different farming system units. References Bennett D. and Macpherson D.K., (1985). Structuring a successful modelling activity. In Agricultural Systems Research for Developing Countries. Ed. J. V. Remenyi. 70-76. Devadoss S., Sharma B.M., and Singh C. (1985). Impact of farming systems onincome and employment of small farms in Theni Block (Tamil Nadu).J. Farming Systems. 1(1&2). 48-57. 3 Morley F.H.W. and White D.H. (1985). Modeling biological systems. In Agricultural Systems Research for Developing Countries. Ed. J. V. Remenyi. 6069. Macadam R.D. (1988). System agriculture – an alternative approach to agriculture education, research and extension for rural development. Proc. Workshop on Syst. Agri. in Education Learning to deal with Complexities, 27-39 July, 1988, Hyderabad, A.P. India, p 3-10. Singh K.P., Singh S.N., Kumar Harish, Kadian V.S. and Saxena K.K. (1993) Economic analysis of different farming systems followed on small & marginal land holdings in Haryana.Haryana J. Agron. Vol 9 (2). 122-125. Reijntjes C., Haverkort and Water-Bayer A. (1996). Farming for future, 250 p. Macmillan Education Ltd., London and Basingstoke Acknowledgements The authors acknowledge the contribution of multi-disciplinary research team of farming system group of Department of Agronomy, CCS Haryana Agricultural University, Hisar (India) during the course of studies conducted for developing integrated farming system models. Corresponding Authors Contact Information: Dr. K.K. Saxena, Professor of Statistics, Department of Math & Stat, Chaudhary Charan Singh Haryana Agricultural University, Hisar. Tel. No. 0091-166244400. e.mail : aks@hau.nic.in Dr. K.P. Singh, Professor of Agronomy and Controller of Examinations, CCS Haryana Agricultural University, Hisar, Haryana-125 004(India), Phone: 911662-31518 (O), 35076(R), Fax : 91-1662-34613, coe@hau.nic.in, Theme 1 Poster Manuscript, Small farm diversification and competitiveness. 4 5 Table I Net Income, net income (1982 base price),LRI and C.V. of different farming system models Sr. No . Farming System Model 1. 2. 3. 4. Arable farming Arable farming + one CB cow* Mixed farming + three CB cows Mixed farming + three buffaloes 5. Arable farming 6. 7. Arable farming + one CB cow Mixed farming + one buffalo 8. Arable farming 9. 10. 11. Mixed farming + one CB cow Mixed farming + two CB cows Mixed farming + one buffalo 12. Mixed farming + two buffaloes 13. 14. 15. Arable farming + one CB cow Mixed farming + four CB cows Mixed farming + four buffaloes Av. actual net income ($) Av.net income on 1982 prices ($) Link Relative Index based on arable farming on 1 ha.land ANI FSM On 2.5 acres (1.0 ha) land-84-85 to 90-91 146 115 100 98 58 51 441 317 276 194 145 126 On 1.0 acre (0.4 ha) land-91-92 to 92-93 18 46 21 96 44 38 -17 -7 -6 On 1.5 acres (0.6 ha) land-91-92 to 92-93 23 59 27 125 58 50 42 20 17 -7 -19 -8 -227 -103 -89 On 4.0 acres (1.5 ha) land-93-94 to 95-96 233 76 66 135 45 39 -343 -114 -99 Link Relative Index based on arable farming + 1CrossBred cow (Farmer’s practice) C.V. (%) 200 100 550 251 52.5 26.8 37.4 73.9 36 14.0 76 -12 0.8 ---- 46 10.0 101 34 -14 26.5 41.0 ---- -178 ---- 131 78 -197 26.5 66.0 ---- * Farmer’s practice; CB = Crossbred (Hariana x Holstein freezen) 7