Conditioning a distance-dependent competition index to indicate the onset of inter-tree competition

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Fertilization and irrigation effects on tree level aboveground net primary production, light interception and light use efficiency in a loblolly pine plantation (2013, background): “At early stages of stand development, competition for site resources, along with environmental constraints, gravitates on a tree-by-tree basis (Radtke et al., 2003).”
Individual-tree diameter growth and mortality models for bottomland mixed-species hardwood stands in the lower Mississippi alluvial valley (2004, methodology): “Distance-dependent competition indices widely used in individual-tree models (Bella, 1971; Hegyi, 1974; Daniels, 1976; Waller, 1981; Mithen et al., 1984; Daniels et al., 1986; Weiner, 1982, 1984; Holmes and Reed, 1991; Radtke et al., 2003) require time-consuming and expensive information on location”
Evaluating tree competition indices as predictors of basal area increment in western Montana forests (2011, background): “Measures of tree competition are commonly among the most important predictors of individual tree growth (Radtke et al., 2003).”