Application of ecological field theory in distance-dependent growth modelling

In this study, we compared the performance of an additive competition index and two new index types derived from ecological field theory. One type of competition index at a time was used as a distance-dependent predictor in a diameter growth model, together with a permanent set of distance-independent predictors. One of the new index types was computed multiplicatively from the relative influences of competitors at the location of the subject tree. This may be called the ecological interference potential of competitors. The other new index was a simple spatial integral of the ecological interference potential around the subject tree. Its value depends on the directional distribution of competitors. The results indicated that, for both Scots pine (Pinus sylvestris L.) and Norway spruce (Picea abies (L.) Karst.), the indices based on ecological field theory are better predictors of a growth model than a traditional additive index is. The spatial integral of the interference potential was better than the point value.

[1]  William R. Wykoff,et al.  A Basal Area Increment Model for Individual Conifers in the Northern Rocky Mountains , 1990, Forest Science.

[2]  Peter J. Diggle,et al.  Competition for Light in a Plant Monoculture Modelled as a Spatial Stochastic Process , 1981 .

[3]  M. Wimberly,et al.  Distance-dependent and distance-independent models of Douglas-fir and western hemlock basal area growth following silvicultural treatment , 1996 .

[4]  I. Bella,et al.  A New Competition Model for Individual Trees , 1971 .

[5]  Timothy G. Gregoire,et al.  Linear modelling of irregularly spaced, unbalanced, longitudinal data from permanent-plot measurements , 1995 .

[6]  S. Spurr A Measure of Point Density , 1962 .

[7]  Gregory S. Biging,et al.  Evaluation of competition indices in individual tree growth models , 1995 .

[8]  Timo Pukkala,et al.  Using Numerical Optimization for Specifying Individual-Tree Competition Models , 2000, Forest Science.

[9]  P. Jolliffe,et al.  Assessing processes of intraspecific competition within spatially heterogeneous black spruce stands , 1998 .

[10]  Timo Pukkala,et al.  Effect of Scots pine seed trees on the density of ground vegetation and tree seedlings. , 1989 .

[11]  J. Walker,et al.  Effect of Neighbouring Trees on Eucalypt Growth in a Semi-Arid Woodland in Australia , 1986 .

[12]  T. Pukkala,et al.  Competition indices and the prediction of radial growth in Scots pine. , 1987 .

[13]  Robert Hooke,et al.  `` Direct Search'' Solution of Numerical and Statistical Problems , 1961, JACM.

[14]  Hsin-I Wu,et al.  Ecological field theory: A spatial analysis of resource interference among plants , 1985 .

[15]  T. Pukkala,et al.  Productivity of mixed stands of Pinus sylvestris and Picea abies , 1994 .

[16]  T. Pukkala Methods to describe the competition process in a tree stand , 1989 .

[17]  Richard F. Daniels,et al.  A comparison of competition measures for predicting growth of loblolly pine trees , 1986 .