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Characterizing wood fiber and particle length with a mixture distribution and a segmented distribution

  • Quang V. Cao und Qinglin Wu
Veröffentlicht/Copyright: 9. März 2007
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Holzforschung
Aus der Zeitschrift Band 61 Heft 2

Abstract

The length data from 12 samples of wood fibers and particles were described using lognormal and Weibull distributions. While both distributions fitted the middle range of the data well, the lognormal distribution provided a closer fit for short fibers and particles and the Weibull distribution was more appropriate for long ones. A mixture of the lognormal and Weibull distributions was developed using a variable weight to allow the new distribution to take the lognormal form for short fibers and gradually change to the Weibull form for long fibers. In the segmented distribution approach, a left segment of the lognormal distribution was joined to a right segment from the Weibull form. The Anderson-Darling goodness-of-fit test at the 5% level failed to reject the hypothesis that the mixture distribution and the segmented distribution fitted the data. Q-Q plots showed that both the mixture and segmented distributions provided an excellent fit to the fiber and particle length data, combining the best features of the lognormal and the Weibull distributions. These two new distributions are therefore better alternatives than the single lognormal and Weibull distributions for this data set.

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Corresponding author. School of Renewable Natural Resources, Louisiana State University Agricultural Center, Baton Rouge, LA 70803, USA Phone: +1-225-5784218, Fax: +1-225-5784227

References

Anderson, T.W., Darling, D.A. (1954) A test of goodness of fit. J. Am. Stat. Assoc.49:765–769.10.1080/01621459.1954.10501232Suche in Google Scholar

Borders, B.E., Patterson, W.D. (1990) Projecting stand tables –a comparison of the Weibull diameter distribution method, a percentile-based projection method, and a basal area growth projection method. For. Sci.36:413–424.Suche in Google Scholar

Borders, B.E., Souter, R.A., Bailey, R.L. Ware, K.D. (1987) Percentile-based distributions characterize forest stand tables. For. Sci.33:570–576.Suche in Google Scholar

Cao, Q.V. (2004) Predicting parameters of a Weibull function for modeling diameter distribution. For. Sci.50:682–685.Suche in Google Scholar

Cao, Q.V., Burkhart, H.E. (1984) A segmented distribution approach for modeling diameter frequency data. For. Sci.30:129–137.Suche in Google Scholar

Dodson, C.T.J. (1992) The effect of fiber length distribution on formation. J. Pulp Pap. Sci.18:J74–J76.Suche in Google Scholar

Eckert, W.F., Masliyah, J.H., Afacan, A. (1997) Fractionation of softwood TMP by flotation. Tappi J.80:210–216.Suche in Google Scholar

Gavin, D.G., Hu, F.S. (2005) Bioclimatic modeling using Gaussian mixture distributions and multiscale segmentation. Global Ecol. Biogeog.14:491–501.10.1111/j.1466-822x.2005.00171.xSuche in Google Scholar

Huber, P., Roux, J.C., Mauret, E., Belgacem, N., Pierre, C. (2003) Suspension crowding for a general fiber-length distribution: Application to flocculation of mixtures of short and long paper making fibers. J. Pulp Pap. Sci.29:77–85.Suche in Google Scholar

Kropholler, H.W., Sampson, W.W. (2001) The effect of fiber length distribution on suspension crowding. J. Pulp Pap. Sci.27:301–305.Suche in Google Scholar

Lee, B.J., McDonald, A.G., James, B. (2001) Influence of fiber length on the mechanical properties of wood-fiber/polypropylene prepreg sheets. Mater. Res. Innovat.4:97–103.10.1007/PL00010786Suche in Google Scholar

Liu, C., Zhang, L., Davis, C.J., Solomon, D.S., Gove, J.H. (2002) A finite mixture model for characterizing the diameter distributions of mixed-species forest stands. For. Sci.48:653–661.Suche in Google Scholar

Lu, J.Z., Monlezun, C.J., Wu, Q., Cao, Q.V. (2007) Fitting Weibull and lognormal distributions to wood fiber length. Wood Fiber Sci. In press.Suche in Google Scholar

Mao, C.X., Colwell, R.K. (2005) Estimation of species richness: mixture models, the role of rare species, and inferential challenges. Ecology86:1143–1153.10.1890/04-1078Suche in Google Scholar

Mark, R.E., Gillis, P.P. (1983) Structure and structural anisotropy. In: Handbook of Physical and Mechanical Testing of Paper and Paperboard. Eds. Mark, R.E., Murakami, K. Marcel Dekker, Inc., New York, NY. pp. 283–371.Suche in Google Scholar

Mörling, T., Sjöstedt-de Luna, S., Svensson, I., Fries, A., Ericsson, T. (2003) A method to estimate fibre length distribution in conifers based on wood samples from increment cores. Holzforschung57:248–254.10.1515/HF.2003.038Suche in Google Scholar

SAS Institute (2004) SAS/STAT 9.1 User's guide. SAS Institute, Inc., Cary, NC. 5121 pp.Suche in Google Scholar

Svensson, I., Sjöstedt-de Luna, S., Bondesson, L. (2006) Estimation of wood fibre length distributions from censored data through an EM algorithm. Scandinavian J. Stat.33:503–522.10.1111/j.1467-9469.2006.00501.xSuche in Google Scholar

Takahashi, H., Suzuki, H., Endoh, K. (1979) The effect of fiber shape on the mechanical properties of paper and board. Tappi J.62:85–88.Suche in Google Scholar

Tasman, J.E. (1972) The fiber length of Bauer-McNett screen fractions. Tappi J.55:136–138.Suche in Google Scholar

Yan, J.F. (1975) A method for the interpretation of fiber length classification data. Tappi J.58:191–192.Suche in Google Scholar

Zhang, L, Liu, C., Davis, C.J. (2004) A mixture model-based approach to the classification of ecological habitats using Forest Inventory and Analysis data. Can. J. For. Res.34:1150–1156.10.1139/x04-005Suche in Google Scholar

Published Online: 2007-03-09
Published in Print: 2007-03-01

©2007 by Walter de Gruyter Berlin New York

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