Previous articleNext article No AccessNotes and CommentsThe Place of the Self-Thinning Rule in Population DynamicsMark WestobyMark Westoby Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by The American Naturalist Volume 118, Number 4Oct., 1981 Published for The American Society of Naturalists Article DOIhttps://doi.org/10.1086/283853 Views: 13Total views on this site Citations: 49Citations are reported from Crossref Copyright 1981 The University of ChicagoPDF download Crossref reports the following articles citing this article:Dehai Zhao, Bronson P. Bullock, Cristian R. Montes, Mingliang Wang Rethinking maximum stand basal area and maximum SDI from the aspect of stand dynamics, Forest Ecology and Management 475 (Nov 2020): 118462.https://doi.org/10.1016/j.foreco.2020.118462Vojsava Gjoni, Douglas Stewart Glazier A Perspective on Body Size and Abundance Relationships across Ecological Communities, Biology 9, no.33 (Feb 2020): 42.https://doi.org/10.3390/biology9030042Annikki Mäkelä, Harry T. Valentine Competition, (Mar 2020): 127–159.https://doi.org/10.1007/978-3-030-35761-0_6H. Nelson, L. Bramanti From Trees to Octocorals: The Role of Self-Thinning and Shading in Underwater Animal Forests, (Feb 2021): 401–417.https://doi.org/10.1007/978-3-030-57054-5_12Peter J. Edmunds High ecological resilience of the sea fan Gorgonia ventalina during two severe hurricanes, PeerJ 8 (Nov 2020): e10315.https://doi.org/10.7717/peerj.10315Howard R. Lasker, Lorenzo Bramanti, Georgios Tsounis, Peter J. Edmunds The rise of octocoral forests on Caribbean reefs, (Jan 2020): 361–410.https://doi.org/10.1016/bs.amb.2020.08.009Joel C. Creed, Vasco M. N. C. S. Vieira, Trevor A. Norton, Debora Caetano A meta-analysis shows that seaweeds surpass plants, setting life-on-Earth’s limit for biomass packing, BMC Ecology 19, no.11 (Jan 2019).https://doi.org/10.1186/s12898-019-0218-zCameron Wagg, Kathryn E. Barry, Michael J. O'Brien, Andrew McKenzie‐Gopsill, Christiane Roscher, Nico Eisenhauer, Bernhard Schmid Not even wrong: Comment by Wagg et al., Ecology 100, no.1010 (Jul 2019).https://doi.org/10.1002/ecy.2805Kelsey T. Dillon, Amanda N. Henderson, Alexandra G. Lodge, Nina I. Hamilton, Lindsey L. Sloat, Brian J. Enquist, Charles A. Price, Andrew J. Kerkhoff On the relationships between size and abundance in plants: beyond forest communities, Ecosphere 10, no.99 (Sep 2019).https://doi.org/10.1002/ecs2.2856PJ Edmunds, HR Lasker Regulation of population size of arborescent octocorals on shallow Caribbean reefs, Marine Ecology Progress Series 615 (Apr 2019): 1–14.https://doi.org/10.3354/meps12907Vasco M. N. C. S. Vieira, Inês E. Lopes, Joel C. Creed The biomass–density relationship in seagrasses and its use as an ecological indicator, BMC Ecology 18, no.11 (Oct 2018).https://doi.org/10.1186/s12898-018-0200-1Raphaël Trouvé, Craig R. Nitschke, Andrew P. Robinson, Patrick J. Baker Estimating the self-thinning line from mortality data, Forest Ecology and Management 402 (Oct 2017): 122–134.https://doi.org/10.1016/j.foreco.2017.07.027Knut Marius Myrvold, Brian P. Kennedy Local habitat conditions explain the variation in the strength of self‐thinning in a stream salmonid, Ecology and Evolution 5, no.1616 (Jul 2015): 3231–3242.https://doi.org/10.1002/ece3.1591L. Ziegler, M. Berazategui, M. Arim Discontinuities and alternative scalings in the density–mass relationship of anuran larvae, Hydrobiologia 723, no.11 (May 2013): 123–129.https://doi.org/10.1007/s10750-013-1553-2Wei Meng, Thom Bogaard, Rens van Beek How the Stabilizing Effect of Vegetation on a Slope Changes Over Time: A Review, (Apr 2014): 363–372.https://doi.org/10.1007/978-3-319-04999-1_52Kimberly Barnum, Steven J. Franks Seed Extracts Impede Germination in Brassica rapa Plants, International Journal of Plant Biology 4, no.11 (Sep 2013): e2.https://doi.org/10.4081/pb.2013.e2James A. Smith, Lee J. Baumgartner, Iain M. Suthers, D. Stewart Fielder, and Matthew D. Taylor Density-Dependent Energy Use Contributes to the Self-Thinning Relationship of Cohorts., The American Naturalist 181, no.33 (Jul 2015): 331–343.https://doi.org/10.1086/669146William B. Sea, Niall P. Hanan Self-thinning and Tree Competition in Savannas, Biotropica 44, no.22 (May 2011): 189–196.https://doi.org/10.1111/j.1744-7429.2011.00789.xMichael A. Huston, Steve Wolverton Regulation of animal size by eNPP, Bergmann's rule, and related phenomena, Ecological Monographs 81, no.33 (Aug 2011): 349–405.https://doi.org/10.1890/10-1523.1Erick S. Van Dyke, Dennis L. Scarnecchia, Brian C. Jonasson, Richard W. Carmichael Relationship of winter concealment habitat quality on pool use by juvenile spring Chinook salmon (Oncorhynchus tshawytscha) in the Grande Ronde River Basin, Oregon USA, Hydrobiologia 625, no.11 (Feb 2009): 27–42.https://doi.org/10.1007/s10750-008-9684-6 Vegetation dynamics, (Sep 2008): 326–346.https://doi.org/10.1017/CBO9780511805530.023 Implication of Self-thinning in Salix Communities on Riverine Wetland Restoration, Journal of Ecology and Field Biology 30, no.33 (Aug 2007): 251–255.https://doi.org/10.5141/JEFB.2007.30.3.251Boris Zeide, Fedor Semevski Using Instrumental Variables for Assessing the Overall Bias of Size-Number Relationships, Journal of Sustainable Forestry 24, no.44 (Jun 2007): 83–96.https://doi.org/10.1300/J091v24n04_05David A. Lytle, David M. Merritt HYDROLOGIC REGIMES AND RIPARIAN FORESTS: A STRUCTURED POPULATION MODEL FOR COTTONWOOD, Ecology 85, no.99 (Sep 2004): 2493–2503.https://doi.org/10.1890/04-0282HUIQUAN BI Stochastic frontier analysis of a classic self-thinning experiment, Austral Ecology 29, no.44 (Aug 2004): 408–417.https://doi.org/10.1111/j.1442-9993.2004.01379.xKent P. McFarland, Christopher C. Rimmer Multiple Paternity and Multiple Male Feeders in Bicknell's Thrush (Catharus bicknelli), The Auk 120, no.44 (Oct 2003): 1044–1053.https://doi.org/10.2307/4090275Rolf Karez Do monospecific stands of three Fucus species (Phaeophyta) comply with the ‘self-thinning rule’?, European Journal of Phycology 38, no.22 (May 2003): 171–180.https://doi.org/10.1080/0967026031000085841John Tschirhart Resource competition among plants: from maximizing individuals to community structure, Ecological Modelling 148, no.22 (Feb 2002): 191–212.https://doi.org/10.1016/S0304-3800(01)00439-2YUTAKA KOBAYASHI, KIHACHIRO KIKUZAWA A Single Theory Explains Two Empirical Laws Applicable to Plant Populations, Journal of Theoretical Biology 205, no.22 (Jul 2000): 253–260.https://doi.org/10.1006/jtbi.2000.2058Angela Maria Maluf, Competição intra-específica entre Amaranthus hybridus L. e Amaranthus viridis L., Pesquisa Agropecuária Brasileira 34, no.88 (Aug 1999): 1319–1325.https://doi.org/10.1590/S0100-204X1999000800001Miguel Franco, Colleen K. Kelly The interspecific mass–density relationship and plant geometry, Proceedings of the National Academy of Sciences 95, no.1313 (Jun 1998): 7830–7835.https://doi.org/10.1073/pnas.95.13.7830Qinfeng Guo, Philip W. Rundel SELF-THINNING IN EARLY POSTFIRE CHAPARRAL SUCCESSION: MECHANISMS, IMPLICATIONS, AND A COMBINED APPROACH, Ecology 79, no.22 (Mar 1998): 579–586.https://doi.org/10.1890/0012-9658(1998)079[0579:STIEPC]2.0.CO;2Kristine Johnson, Nancy Tyler Burley Mating Tactics and Mating Systems of Birds, Ornithological Monographs , no.4949 (Jan 1998): 21–60.https://doi.org/10.2307/40166717Li Xue, Akio Hagihara, Yoshiya Tadaki, Xangkuan Du Self-thinning in Prince Rupprecht's Larch ( Larix principis-rupprechtii Mayr) Stands, Journal of Forest Research 2, no.44 (Jan 2017): 221–226.https://doi.org/10.1007/BF02348319Boris Zeide A relationship between size of trees and their number, Forest Ecology and Management 72, no.2-32-3 (Apr 1995): 265–272.https://doi.org/10.1016/0378-1127(94)03453-4M.L. Imhoff A theoretical analysis of the effect of forest structure on synthetic aperture radar backscatter and the remote sensing of biomass, IEEE Transactions on Geoscience and Remote Sensing 33, no.22 (Mar 1995): 341–352.https://doi.org/10.1109/36.377934P. M. ROOM, M. H. JULIEN Population-biomass dynamics and the absence of - 3/2 self-thinning in the clonal weed Salvinia molesta, Austral Ecology 19, no.11 (Mar 1994): 26–34.https://doi.org/10.1111/j.1442-9993.1994.tb01539.xKihachiro Kikuzawa Self-thinning line and B-point line of the yield-density diagram in a young birch stand, Forest Ecology and Management 58, no.3-43-4 (May 1993): 287–298.https://doi.org/10.1016/0378-1127(93)90151-CCHRISTOPHER P. DUNN, REBECCA R. SHARITZ The relationship of light and plant geometry to self‐thinning of an aquatic annual herb, Murdannia keisak (Commelinaceae), New Phytologist 115, no.33 (Apr 2006): 559–565.https://doi.org/10.1111/j.1469-8137.1990.tb00484.xLouis J. Gross Mathematical Models in Plant Biology: An Overview, (Jan 1989): 385–407.https://doi.org/10.1007/978-3-642-61317-3_16R. Å. Norberg Self-Thinning of Plant Populations Dictated by Packing Density and Individual Growth Geometry and Relationships Between Animal Population Density and Body Mass Governed by Metabolic Rate, (Jan 1988): 259–279.https://doi.org/10.1007/978-3-642-74001-5_17Boris Zeide Tolerance and self-tolerance of trees, Forest Ecology and Management 13, no.3-43-4 (Dec 1985): 149–166.https://doi.org/10.1016/0378-1127(85)90031-3D. R. GOVINDARAJU PATH ANALYSIS OF THE CHANGES IN QUANTITATIVE CHARACTERS IN JACK PINE, New Phytologist 97, no.44 (Aug 1984): 691–696.https://doi.org/10.1111/j.1469-8137.1984.tb03632.x Louis F. Pitelka Application of the -3/2 Power Law to Clonal Herbs, The American Naturalist 123, no.44 (Oct 2015): 442–449.https://doi.org/10.1086/284215James N. Long, Frederick W. Smith Relation between size and density in developing stands: A description and possible mechanisms, Forest Ecology and Management 7, no.33 (Jan 1984): 191–206.https://doi.org/10.1016/0378-1127(84)90067-7Mark Westoby The Self-Thinning Rule, (Jan 1984): 167–225.https://doi.org/10.1016/S0065-2504(08)60171-3Roger Cousens, Michael J. Hutchings The relationship between density and mean frond weight in monospecific seaweed stands, Nature 301, no.58975897 (Jan 1983): 240–241.https://doi.org/10.1038/301240a0Michael L. Samuels, Julio L. Betancourt Modeling the long-term effects of fuelwood harvests on Pinyon-Juniper Woodlands, Environmental Management 6, no.66 (Nov 1982): 505–515.https://doi.org/10.1007/BF01868379Gordon Bonan Vegetation Dynamics, (): 376–399.https://doi.org/10.1017/CBO9781107339200.023