TABLE 1. Selected characteristics of Virgin Islands farming: 1960 to 1982. Farm Units Produc- Z Farms Growth tive Producing Year No. Z Change Factor Acreage for Sale 1960 501 44062 60.3 1964 466 -7.0 0.93 39539 49.1 1970 212 -54.5 0.45 20470 48.6 1975 327 54.2 1.54 24703 54.1 1978 378 15.6 1.16 24397 46.6 1982 303 -19.8 0.80 20824 71.6 Average rate of change -10.6% -9.6% -16,2% Note. The data in column 2 are respectively from the U.S. Census of Agriculture, Virgin Islands of the United States, U.S. Bureau of the Census. which there was a combined total of ten or more fruit or nut trees or plants, any livestock, or ten or more poultry at the time of enumeration. Places of less than three acres were counted as farms if their sales of agricultural products amounted to at least $100, or if they could normally be expected to produce agricultural products in sufficient quantity to provide sales amounting to at least $100 ... The definition of a farm for 1982 was the same as in all previous census, except the one for 1950" (U.S. Bureau of the Census, 1983, p. iv). In fact, Table 1 shows that the total number of farms in 1964, 466, was reduced to less than half in 1970 when only 212 remained. And concomitantly, the total productive acreage recorded the largest decline in the last 25 years, a change of 52.7% or a growth factor of 0.473. The pattern of change that is reflected by the data of Table 1 is one of decline, but this has not been consistent from one quin- quennium to the next. First, it is noted that overall there is a 10.6% rate of decrease per period between 1960 and 1982, in the number of farm units in the territory. The table also shows that the decline has not been constant: the third and fourth columns of percent changes and growth factors respectively express uneven rates of decrease and increase. The average period-to-period per- cent change is therefore 9.6%. The acreage devoted to farming is related to the number of units under production, and the data thus reflect the same type of increase and decrease. Overall, the average rate of decrease between periods is 16.2%. The most recent census records the largest percentage since 1960 of the total number of farms that produce for sale, versus those that produce for home consumption only. Whereas about six out of ten farms were producing for sale in 1960, the rate in 1982 was seven out of ten. Census documents group most of the farm data by size categories. It is therefore useful to examine, by comparison, the frequency distributions of the last five quinquennial censuses to determine if the number of farm units in each of the categories remains basically the same from one census year to the next, or if they increase or decrease. The last decennial census of agriculture in the Virgin Islands was taken in 1960. The first quinquennial census of agriculture was taken in 1964. For the 1969 quinquen- nial census, the data were collected in 1970 to coincide with the decennial Census of Population and Housing. In 1976 Congress authorized censuses for 1978 and 1982 "to adjust the data reference year to coincide with the 1982 Economic Censuses . after 1982, the agriculture census will revert to a 5-year cycle" (U.S. Bureau of the Census, 1983, p. iv.). The data in Table 2 il- lustrate that, whereas the percentages of the number of farms TABLE 2. Percentage of Virgin Islands farms by size: 1964 to 1982. Size of farms (in acres) 1964 1970 1975 1978 1982 Less than 3 10.3 31.1 33.3 24.1 24.8 3 to 9 42.0 25.9 28.8 38.9 37.6 10 to 19 16.1 11.3 10.7 14.3 10.6 20 to 49 10.5 11.8 10.1 9.0 11.2 50 to 99 6.8 7.6 5.8 5.0 5.9 100 to 174 5.2 3.3 4.0 2.1 4.0 175 to 259 2.2 1.4 2.1 2.1 1.6 260 to 499 3.0 3.3 2.5 2.4 2.0 500 to 999 2.4 1.9 0.9 0.8 1.3 1000 or over 1.5 2.4 1.8 1.3 1.0 100.0% 100.0% 100.0% 100.0% 100.0% (466) (212) (327) (378) (303) over 100 acres in size have remained rather constant, the numbers in the smallest category (of less than three acres) have varied remarkably. Among the number of farms over 1,000 acres, there were 1.5% in 1964, and 1.0% in 1982. In 1964, 10.3% of the farms were less than three acres in size, and this number tripled to 31.1% by 1970. The largest percent of 33.3 was recorded in 1975, and the most recent count listed 24.8%. No other category registered this degree of variation in the proportion of farms in intercensal periods. The large increases between 1964 and 1975 may probably be explained by the dismemberment of some of the sugar plantations that ceased sugar cane production in 1966. It was of further interest to examine the five distributions to determine statistically if it can reasonably be said that, basically, the same distribution of the percentage of farms was maintained in each of the census years from 1964-1982. The chi-square test of homogeneity is utilized to establish if the differences between the distributions can be ascribed to a chance process. The validity of a statistical test of significance on population data may have crossed the reader's mind. However, the attempt is not to generalize here to a larger population; it is merely to rule out the 'chance process' alternative as an explanation for the observed differences. See Blalock (1979, p. 242). The computed chi-square and associated probability of p = .00011 suggest that the populations are neither identical nor homogeneous, and that chance is not responsible for the observed differences. In fact, the test confirms that the largest differences are between 1964 and 1970, and these may be attributed to the agrarian change in sugar production that characterized the period. Commensurate with the decline in farm unit numbers was a decrease in the number of acres devoted to productive agricultural practices. Table 1 recorded a quinquennial decrease of 16.2% over the period, and Table 3 illustrates the percentage of agrarian land that was distributed among the various size categories. Typical of most farming systems throughout the Caribbean, less than 1% of the total farm acreage in 1982 was found on 25 % of the farms under three acres, and for most years, more than half of the total agrarian land was confined to farms over 1,000 acres in size. While the percentage of the acreage on farms of less than three acres tripled from 1964 to 1970, i.e., from 0.2% to 0.6%, the actual amounts were 69 (1964) and 117 acres (1982). However, the percentage in almost all categories from 3 to 999 acres decreased between 1964 and 1970. The category that registered an increase was farms over 1000 acres: from 39.2% in 1964 to 54.7% in 1970. The last census marks the first time in about 15 years that the percentage of farms in the largest category is less than 50%, 45.7% in fact. PROCEEDINGS of the CARIBBEAN FOOD CROPS SOCIETY-VOL. XX 24