Abstract
When systems, agricultural or otherwise, are the object of study in experiments, many and varied goals and analyses arise. In this chapter, some additional experimental variations and statistical analyses are described. The approaches in Volume I are expanded and extended to include more than two crops in a mixture. In the next section, a type of experimentation known as replacement series is discussed, wherein the proportions of the n crops in the mixture are varied in such a manner that the sum of the proportions is unity. The proportion is the population number for a sole crop required to plant that proportion of a hectare, say, occupied by a cultivar at the same rate as the sole crop. Graphical displays and numerical examples are included to illustrate various patterns of response and statistical analyses for replacement series experiments.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literature Cited
Atkinson, A. C. (1996). The usefulness of optimal experimental designs. J. Roy. Statist. Soc, Series B 58, 59–76
Aitkinson, A. C. and A. N. Donev (1992). Optimal Experimental Designs. Oxford University Press, Oxford.
Campbell, H. G. (1965). An Introduction to Matrix Vectors and Linear Programming. The Appleton-Century Mathematics Series, Appleton-Century-Crofts, New York.
Cornell, J. (1990). Experiments With Mixtures: Designs, Models, and Analysis of Mixture Data, second edition, John Wiley & Sons, Inc., New York.
DeSilva, N. T. M. H. and M. de S. Liyange (1978). An appraisal of linear programming in planning intercropping. Agric. Agroid J. 11(4), 3–7.
de Wit, C. T. (1960). On competition. Versl. Landbouw. Onderzoekingen, Wageningen 66, 1–82
de Wit, C. T. (1961). Space relationships within populations of one or more species. In Symp. Soc. for Exp. Biol. XV. Mechanisims in Biological Competition. Academic Press, New York, pp. 314–329.
de Wit, C. T. and J. P. van den Bergh (1965). Competition among herbage plants. Netherlands J. Agric. Sci. 13, 212–221.
Donald, C. M. (1963). Competition among crop and pasture plants. Adv. Agron. 15, 1–118.
Federer, W.T. and K.E. Basford (1991). Competing effects designs and models for two-dimensional field arrangements. Biometrics 47, 1461–1472.
Glicksman, A. M. (1963). Linear Programming and the Theory of Games. John Wiley & Sons, Inc., New York.
Haizel, K. A. (1974). The agronomic significance of mixed cropping. Ghana J. Agric. Sci. 7, 169–178.
Hall, R. L. (1974a). Analysis of the nature of interference between plants of different species. 1. Concepts and extension of the de Wit analysis to examine effects. Australian J. Agric. Res. 25, 739–747.
Hall, R. L. (1974b). Analysis of the nature of interference between plants of different species. 2. Nutrient relations in a Nandi Setaria and Greenleaf Desmodium association with particular reference to potassium. Australian J. Agric. Res. 25, 749–756.
IRRI (1974). Multiple cropping. In IRRI Annual Report for 1973, pp. 15–34.
Kass, D. C. L. (1978). Polyculture cropping systems: Review and analysis. Cornell Int. Agric. Bull. 32, N.Y. State College of Agriculture and Life Science, Ithaca, NY.
Lipman, J. G. (1912). The associative growth of legumes and non-legumes. New Jersey Agric. Expt. Station Bull. 252, 1–48.
Manakata, T. (1979). Matrices and Linear Programming with Applications. Holden-Day, Inc., San Francisco.
Martin, J.H. and W.H. Leonard (1949). Principles of Field Crop Production. The MacMillan Company, New York.
McGilchrist, C. A. and B. R. Trenbath (1971). A revised analysis of plant competition experiments. Biometrics 27, 659–671.
Mead, R. and J. Riley (1981). A review of statistical ideas relevant to intercropping research (with discussion). J. Roy. Statist. Soc, Series A 144, 462–509.
Morrish, R. H. (1934). Crop mixture trials in Michigan. Michigan State College Agric. Expt. Station Bull. 256, 1–11.
Niqueux, M. (1959). Choie de varietes d’Arachides au Tchad III. Essais de culture associee d’arachides er de sorghos au Tchad. L’Agronomie Tropicale 14, 501–502.
Pilz, F. (1911). Leguminosen und graminen in Rein-und in Mengsaaten mit besonderer Berucksichtunge der Stickstoffnutzung. Ztschr. Landw. Versuchs. Osten. 14, 1140–1210.
Soria, J., R. Bazan, A. M. Pinchinat, G. Paez, N. Mateo, R. Moreno, J. Fargas, and W. Forsythe (1975). Investigacion sobre sistemas de produccion agricola para el pequeno agricultor del tropico. Turrialba 25, 283–293.
Sprague, G. F. and W. T. Federer (1951). A comparison of variance components in corn yield trials: II. Error, year x variety, location x variety, and variety components. Agron. J. 43, 535–541.
Van den Bergh, J. P. (1968). An analysis of yields of grasses in mixed and pure stands. Versl. Landbouw. Onderzoekingen, Wageningen. 71, 1–71.
Willey, R. W. (1979). Intercropping—its importance and research needs. Part I. Competition and yield advantages. Part 2. Agronomy and research approaches. Field Crops Abstr. 32, 1–10 and 73-85.
Willey, R. W. and D. S. O. Osiru (1972). Studies on mixtures of maize and beans (P. vulgaris) with particular reference to plant populations. J. Agric. Sci., Cambridge 79, 517–529.
Willey, R. W. and M. R. Rao (1980). A competitive ratio for quantifying competition between intercrops. Exper. Agric. 16, 117–125
Rights and permissions
Copyright information
© 1999 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
(1999). Some Analytical Variations for Intercropping Studies. In: Statistical Design and Analysis for Intercropping Experiments. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22647-7_8
Download citation
DOI: https://doi.org/10.1007/978-0-387-22647-7_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98533-6
Online ISBN: 978-0-387-22647-7
eBook Packages: Springer Book Archive