Inter‐plant interactions and their influence on within and among plot variances

References

• Bartlett , M. S. 1978 . Nearest neighbour models in the analysis of field experiments . J. R. Stat. Soc. B , 40 : 147 – 174 .
   Google Scholar
• Besag , J. 1974 . Spatial interaction and the statistical analysis of lattice systems (with discussion) . J. R. Stat. Soc. B , 36 : 192 – 236 .
   Google Scholar
• Besag , J. and Kempton , R. 1986 . Statistical analysis of field experiments using neighbouring plots . Biometrics , 42 : 231 – 251 .
   Web of Science ®Google Scholar
• Boyle , T. J. B. 1986 . Ten‐year height growth of open pollinated black spruce families in Ontario . Can. For. Serv., Inf. Rep. PI‐X‐61. ,
   Google Scholar
• Bulmer , M. G. 1985 . The mathematical theory of quantitative genetics. , Oxford : Clarendon Press .
   Google Scholar
• Cliff , A. D. and Ord , J. K. 1981 . Spatial processes. , London : Pion .
   Google Scholar
• Correll , R. L. and Cellier , K. M. 1987 . Effects of plot size, block size and buffer rows on the precision of forestry trials . Aust. For. Res. , 17 : 11 – 18 .
   Google Scholar
• Cotterill , P. P. and James , J. W. 1984 . Number of offspring and plot sizes required for progeny testing . Silvae Genet. , 33 : 203 – 209 .
   Google Scholar
• Draper , N. R. and Guttman , I. 1980 . Incorporating overlap effects from neighbouring units into response surface models . Appl. Stat. , 29 : 128 – 134 .
   Google Scholar
• Hühn , M. A new method of estimating broad sense heritability . Proc. IUFRO Joint Meeting S02.04.1–3 . 1974 , Stockholm. pp. 79 – 96 .
   Google Scholar
• Hühn , M. 1974 . Über den Einfluss der Konkurrenz auf die Aussagefähighkeit forstlicher und landwirtschaftlicher Versuche: Experimentelle Ergebnisse aus einer Feldversuchsserie mit Fichtenkreuzungen . Silvae Genet. , 23 : 74 – 94 .
   Google Scholar
• Hühn , M. 1985 . Theoretical studies on the necessary number of components in mixtures. I. Number of components and yield stability . Theor. Appl. Genet. , 70 : 383 – 389 .
   PubMed Web of Science ®Google Scholar
• Kempton , R. A. 1982 . Adjustment for competition between varieties in plant breeding trials . J. Agric. Sci. Camb. , 98 : 599 – 611 .
   Web of Science ®Google Scholar
• Kung , F. H. Experimental design and analysis for half‐sib progeny test . Proc. Working Party on Progeny Testing . October 25–27 1972 , Macon, Ga.. pp. 20 IUFRO .
   Google Scholar
• Lambeth , C. C. and Gladstone , W. T. 1983 . Statistical efficiency of row and non‐contiguous family plots in genetic tests of loblolly pine . Silvae Genet. , 32 : 24 – 28 .
   Google Scholar
• Leps , J. and Kindelmann , P. 1987 . Models of the development of spatial pattern of an even‐aged plant population over time . Ecol. Modelling , 39 : 45 – 57 .
   Web of Science ®Google Scholar
• Libby , W. J. and Cockerham , C. C. 1980 . Random non‐contiguous plots in interlocking field layouts . Silvae Genet. , 29 : 183 – 190 .
   Google Scholar
• Loo‐Dinkins , J. A. and Tauer , C. G. 1987 . Statistical efficiency of six progeny test field designs on three loblolly pine (Pinus taeda L.) site types . Can. J. For. Res. , 17 : 1066 – 1070 .
   Web of Science ®Google Scholar
• Love , H. H. 1936 . Are uniformity trials useful? . J. Amer. Soc. Agr. , 28 : 234 – 245 .
   Google Scholar
• Magnussen , S. and Yeatman , C. W. 1987 . Adjusting for inter‐row competition in a jack pine provenance trial . Silvae Genet. , 36 : 206 – 214 .
   Google Scholar
• Mead , R. 1967 . A mathematical model for the estimation of inter‐plant competition . Biometrics , 23 : 189 – 205 .
   PubMed Web of Science ®Google Scholar
• Modjeska , J. S. and Rawlings , J. O. 1983 . Spatial correlation analysis of uniformity data . Biometrics , 39 : 373 – 384 .
   Web of Science ®Google Scholar
• Reed , D. D. and Burkhart , H. E. 1985 . Spatial autocorrelation of individual tree characteristics in loblolly pine stands . Forest Sci. , 31 : 575 – 587 .
   Web of Science ®Google Scholar
• Ripley , B. D. 1987 . Stochastic simulation , John Wiley and Sons .
   Google Scholar
• Sakai , K.‐I. and Mukaide , H. 1967 . Estimation of genetic, environmental, and competitional variances in standing forests . Silvae Genet. , 16 : 149 – 152 .
   Google Scholar
• Smith , H. F. 1938 . An empirical law describing heterogeneity in the yields of agricultural crops . J. Agric. Sci. , 28 : 1 – 23 .
   Google Scholar
• Snedecor , G. W. and Cochran , W. G. 1971 . Statistical methods. , 6th ed. , Iowa Univ. Press .
   Google Scholar
• Stern , K. 1965 . Vollständige Varianzen und Kovarianzen in Pflanzbestanden . Silvae Genet. , 14 : 6 – 11 .
   Google Scholar
• Stern , K. 1968 . Überlegungen zur optimalen Teilstückgrössen in Feldversuchen mit Waldbäumen . Silva Fennica , 2 : 248 – 260 .
   Google Scholar
• Wilkinson , G. N. , Eckert , S. R. , Hancock , T. W. and Mayo , O. 1983 . Nearest neighour (NN) analysis of field experiments . J. R. Statist. Soc. B , 45 : 151 – 211 .
   Google Scholar
• Wright , J. W. and Freeland , F. D. 1960 . Plot size and experimental efficiency in forest genetic research . Mich. State Univ., Tech. Bull. , 280 : 3 – 28 .
   Google Scholar