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Relationships between Plant Density and Yield in Barley¹

To determine the effects of plant density on shoot weight and grain yield of spring barley, Hordeum vulgare L., ten cultivars were planted on square grids at densities of 1.56, 6.25, 25, 100, and 400 plants/m² in each of 3 years, 1977-1979. Twenty plants were harvested from each plot (one replicate in 1977; two in 1978 and 1979) for determination of total shoot weight and grain yield per plant. The yield/density relationship was best described by the reciprocal regression equation, w^-1 = a + bd, where w was the total shoot weight or grain yield (g/plant) and d was the plant density (plants/m²). Coefficients of determination varied from 66.4 to 99.5% with an average of 90.3% for total shoot weight and from 68.5 to 99.6% with an average of 89.1% for grain yield. The coefficient a, a measure of apparent maximum yield per plant, was influenced primarily by differences among cultivars. On the other hand, b, which is an estimate of the asymptotic yield per unit area, showed a significant cultivar x year interaction for both total shoot weight and grain yield.

Key Words: Hordeum vulgare L. • Response curves • Weighted regression • Transformations

² Senior research scientist, Crop Development Ctr., Univ. of Saskatchewan, Saskatoon, Canada S7N OWO; and professor, Dep. of Plant Science, Univ. of Alberta, Edmonton, Canada T6G 2H1.

Received for publication June 3, 1982.

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