Structural equation modeling in the plant sciences: An example using yield components in oat

Lamb, E. G., Shirtliffe, S. J. and May, W. E. 2011. Structural equation modeling in the plant sciences: An example using yield components in oat. Can. J. Plant Sci. 91: 603–619. Structural equation modeling (SEM) is a powerful statistical approach for the analysis of complex intercorrelated data with a wide range of potential applications in the plant sciences. In this paper we introduce plant scientists to the principles and practice of SEM using as an example an agronomic field trial. We briefly review the history of SEM and path analysis and introduce the statistical concepts underlying SEM. We demonstrate the use of observed and latent variable structural equation models using a multi-site multi-year field trial examining the effects of seed size and seeding density on the plant density and yield of oat in Saskatchewan. Using SEM allowed for insights that a standard univariate analysis would not have revealed. We show that seeding density has strong effects on plant and panicle density, but has very l...

[1]  R. Fisher,et al.  On the Mathematical Foundations of Theoretical Statistics , 1922 .

[2]  James B. Grace,et al.  A Structural Equation Model of Plant Species Richness and Its Application to a Coastal Wetland , 1997, The American Naturalist.

[3]  P. Peltonen-Sainio,et al.  Seeding rate effects on tillering, grain yield, and yield components of oat at high latitude , 1995 .

[4]  J. Newman,et al.  THE INFLUENCE OF SEEDING RATE ON THE YIELD AND THE YIELD COMPONENTS OF WHEAT, OATS AND BARLEY , 1961 .

[5]  D. R. Dewey,et al.  A CORRELATION AND PATH COEFFICIENT ANALYSIS OF COMPONENTS OF CRESTED WHEAT GRASS AND SEED PRODUCTION , 1959 .

[6]  J. Cahill,et al.  Shoot, but not root, competition reduces community diversity in experimental mesocosms , 2009 .

[7]  D. Doehlert,et al.  Factors Affecting Groat Percentage in Oat , 1999 .

[8]  W. May,et al.  Management of wild oat (Avena fatua L.) in tame oat (Avena sativa L.) with early seeding dates and high seeding rates , 2009 .

[9]  J. Grace,et al.  Temporal dynamics of leafy spurge (Euphorbia esula) and two species of flea beetles (Aphthona spp.) used as biological control agents , 2004 .

[10]  Andrew Thomas,et al.  WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility , 2000, Stat. Comput..

[11]  C. Willenborg,et al.  Oat Caryopsis Size and Genotype Effects on Wild Oat–Oat Competition , 2005 .

[12]  J. Grace,et al.  The relationship between species density and community biomass in grazed and ungrazed coastal meadows , 1999 .

[13]  E. Garnier,et al.  A structural equation model to integrate changes in functional strategies during old-field succession. , 2006, Ecology.

[14]  S. Siciliano,et al.  Effects of plant species richness and evenness on soil microbial community diversity and function , 2010, Plant and Soil.

[15]  Samuel M. Scheiner,et al.  On the specification of structural equation models for ecological systems. , 2010 .

[16]  K. Eskridge,et al.  Compensatory Mechanisms Associated with the Effect of Spring Wheat Seed Size on Wild Oat Competition , 2006 .

[17]  J. Grace,et al.  A structural equation model analysis of postfire plant diversity in California shrublands. , 2006, Ecological applications : a publication of the Ecological Society of America.

[18]  K. Eskridge,et al.  Structural equation modelling for studying genotype x environment interactions of physiological traits affecting yield in wheat , 2007 .

[19]  M. A. Brinkman PERFORMANCE OF OAT PLANTS GROWN FROM PRIMARY AND SECONDARY KERNELS , 1979 .

[20]  J. Bocianowski,et al.  Selection of promising genotypes based on path and cluster analyses , 2007, The Journal of Agricultural Science.

[21]  J. Grace,et al.  EFFECTS OF ENVIRONMENTAL CHANGE ON PLANT SPECIES DENSITY: COMPARING PREDICTIONS WITH EXPERIMENTS , 1999 .

[22]  E. Lamb,et al.  Cotyledon damage affects seed number through final plant size in the annual grassland species Medicago lupulina. , 2011, Annals of botany.

[23]  James B Grace,et al.  Does species diversity limit productivity in natural grassland communities? , 2007, Ecology letters.

[24]  Jay T. Lennon,et al.  Knowing when to draw the line: designing more informative ecological experiments , 2005 .

[25]  J. Grace,et al.  Invasion in a diversity hotspot: exotic cover and native richness in the Californian serpentine flora. , 2006, Ecology.

[26]  James B. Grace,et al.  Structural Equation Modeling for Observational Studies , 2008 .

[27]  Kenneth A. Bollen,et al.  Representing general theoretical concepts in structural equation models: the role of composite variables , 2008, Environmental and Ecological Statistics.

[28]  P. Reich,et al.  Fundamental trade-offs generating the worldwide leaf economics spectrum. , 2006, Ecology.

[29]  John Fox,et al.  TEACHER'S CORNER: Structural Equation Modeling With the sem Package in R , 2006 .

[30]  James F. Cahill Jr.,et al.  When Competition Does Not Matter: Grassland Diversity and Community Composition , 2008, The American Naturalist.

[31]  E. Lamb Direct and indirect control of grassland community structure by litter, resources, and biomass. , 2008, Ecology.

[32]  K. Bollen,et al.  Interpreting the Results from Multiple Regression and Structural Equation Models , 2005 .