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AN APPLICATION OF MARKOV CHAINS TO FARM TYPE STRUCTURAL DATA IN ENGLAND AND WALES
Author(s) -
Power A. P.,
Harris S. A.
Publication year - 1971
Publication title -
journal of agricultural economics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.157
H-Index - 61
eISSN - 1477-9552
pISSN - 0021-857X
DOI - 10.1111/j.1477-9552.1971.tb01730.x
Subject(s) - census , markov chain , agriculture , geography , projection (relational algebra) , livestock , type (biology) , econometrics , statistics , mathematics , agricultural economics , agricultural science , economics , demography , forestry , environmental science , algorithm , ecology , sociology , population , archaeology , biology
Markov Chain methods of projection are applied to farm type structural data derived from the returns in the Annual June Agricultural Census in England and Wales. Three sets of projections, using different assumptions, are made of the numbers of holdings by farm type in 1969 and of the movement of holdings between farm type during 1968/69. These are compared with the actual Census returns for 1969. Use of a four‐year average transition probability matrix gives the best overall results on the basis of that comparison and this matirx was then used to project farm type structure in England and Wales for 1971 and 1973. These projections indicate that between June 1969 and June 1973 the number of all holdings with 275 or more standard man days (SMD) will decline; those classified as Mixed, Livestock, and Pigs and Poultry are likely to show the largest proportional declines. Some 50 per cent of holdings are likely to be below the 275 SMD limit. Since the assumptions made may not be fulfilled in every respect, it is unlikely that the outcome in 1971 and 1973 will be precisely as predicted, but the pattern and direction of the projections are likely to hold.