------------------------------------------------------ URA 2055 ----------------
 Author(s) :
             THIOULOUSE J.,MATHY B.,PLOYE H.
             Estimation d'un Volume a partir de Coupes Seriees :
             Sous-Echantillonnage, Covariogramme Transitif et Calcul de
             Precision
             Mikroskopie
             Serial Number : 42, 1985, pp. 215-224
             ISSN : 0026-3702

 Key-Words :
             SYSTEMATIC SECTIONS,SUBSAMPLING,TRANSITIVE COVARIOGRAM,ACCURACY,
             VOLUME ESTIMATION


 Abstract      A particular method to estimate the volume of a solid by
             systematic sections is presented. In order to reduce the cost of
             measurements and experimentation the whole series of sections is
             subsampled. Accuracy of final estimations depends on measurement
             errors and sampling ratio. The paper describes the calculation
             procedures of accuracy according to the theory of regionalized
             variables (MATHERON, 1965, 1970). A practical application to the
             imaginal wing disc of Bombyx mori is proposed. The findings show
             that the choice of an optimal sampling interval can be deduced
             from study of preliminary series of sections. Our results compare
             very well with those of CRUZ-ORIVE and MYKING (1981), obtained by
             means of a Monte Carlo method.

 E-Mail :    thioulou@biomserv.univ-lyon1.fr
             Laboratoire de Biometrie, Genetique et Biologie des Populations
             (URA 2055) - Univ. C. Bernard LYON I - 69622 VILLEURBANNE CEDEX