Applying fuzzy measures for considering interaction effects in root dispersal models

被引:18
作者
Naether, Wolfgang [1 ]
Waelder, Konrad [1 ]
机构
[1] TU Bergakad Freiberg, Inst Stochast, D-09596 Freiberg, Germany
关键词
fuzzy measure; Choquet integral; ordered weighted averaging operator (OWA); cluster point process; fine root dispersal;
D O I
10.1016/j.fss.2006.10.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper presents a successful application of fuzzy measures for describing interaction in fine root biomass dispersal models. Fine roots are roots with diameter smaller than 2 mm which are responsible for the soil water reception of trees. A root dispersal model based on point process theory is presented. In this approach interaction effects are taken into account by modelling the intensity function using discrete Choquet integrals. It is shown that the combination of cluster point processes and the modelling of interaction effects by fuzzy measures lead to improved models for the root dispersion. An example for the root dispersion in a stand with beeches and spruces in Saxony/Germany is presented. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:572 / 582
页数:11
相关论文
共 9 条
[1]  
[Anonymous], 2003, INFORM FUSION DATA M
[2]  
GRABISCH M, 1998, AGGREGATION FUSION I, P51
[3]   Determination of weights of interacting criteria from a reference set [J].
Marichal, JL ;
Roubens, M .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 124 (03) :641-650
[4]   Experimental design and statistical inference for cluster point processes -: with applications to the fruit dispersion of anemochorous forest mrees [J].
Näther, W ;
Wälder, K .
BIOMETRICAL JOURNAL, 2003, 45 (08) :1006-1022
[5]  
PRESS WH, 1990, NUMERICAL RECIPES PA
[6]   Estimating the fruit dispersion of anemochorous forest trees [J].
Stoyan, D ;
Wagner, S .
ECOLOGICAL MODELLING, 2001, 145 (01) :35-47
[7]  
Stoyan D., 1995, STOCHASTIC GEOMETRY
[8]  
Stoyan D., 1994, FRACTALS RANDOM SHAP, V302
[9]   Directionality in fruit dispersal models for anemochorous forest trees [J].
Wagner, S ;
Wälder, K ;
Ribbens, E ;
Zeibig, A .
ECOLOGICAL MODELLING, 2004, 179 (04) :487-498