“…The Tornqvist index (Tornqvist, 1936) can be shown to be a derivative of the homogeneous translog production function, which provides a second-order approximation to an arbitrary production function at any given point . This index has been used widely in studies of agricultural productivity in the past decade (Lawrence and McKay, 1980;Kingwell, 1982;Ball, 1985;Rayner et al, 1986;Rahuma and Veeman, 1988;Wong, 1989). A Tornqvist quantity index for the case of two quantities (X, and X,) has the following form:…”