<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0870-6352</journal-id>
<journal-title><![CDATA[Silva Lusitana]]></journal-title>
<abbrev-journal-title><![CDATA[Silva Lus.]]></abbrev-journal-title>
<issn>0870-6352</issn>
<publisher>
<publisher-name><![CDATA[Unidade de Silvicultura e Produtos Florestais]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0870-63522007000100009</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The Changing Geometry of Self-Thinned Mixed Stands: A Simulative Quest]]></article-title>
<article-title xml:lang="pt"><![CDATA[A Geometria Variável dos Povoamentos Regulares Auto-Desbastados Mistos: Uma Inquirição Simulatória]]></article-title>
<article-title xml:lang="fr"><![CDATA[Le Changement de Géométrie des Peuplements Réguliers Auto-Éclaircis: Une Enquête avec Simulation]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barreto]]></surname>
<given-names><![CDATA[Luís Soares]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A">
<institution><![CDATA[,  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2007</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2007</year>
</pub-date>
<volume>15</volume>
<numero>1</numero>
<fpage>119</fpage>
<lpage>132</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_arttext&amp;pid=S0870-63522007000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_abstract&amp;pid=S0870-63522007000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://scielo.pt/scielo.php?script=sci_pdf&amp;pid=S0870-63522007000100009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The author uses an analytical procedure he developed, and simulated data of self-thinned even-aged mixed stands of Quercus robur+Pinus pinaster, Pseudotsuga menziesii+Picea sitchensis, and Pinus nigra ssp.laricio+Pinus pinaster, to scrutinize the allometry and fractal geometry of this type of stands. He verified that they are highly variable. They continuously change with initial proportions of each population, and age.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[O autor usa um procedimento analítico que desenvolve e simulações de povoamentos auto-desbastados regulares mistos de Quercus robur+Pinus pinaster, Pseudotsuga menziesii+Picea sitchensis, e Pinus nigra ssp.laricio+Pinus pinaster, para propor uma clarificação da alometria e geometria fractal deste tipo de povoamentos. Verifica-se que estas são altamente instáveis, variando com as proporções inicias das populações e idade.]]></p></abstract>
<abstract abstract-type="short" xml:lang="fr"><p><![CDATA[L'auteur simule des peuplements auto-éclaircis réguliers mixtes de Quercus robur+Pinus pinaster, Pseudotsuga menziesii+Picea sitchensis, et Pinus nigra ssp.laricio+Pinus pinaster. Il utilise les résultats de ces simulations pour clarifier l'allométrie, et la géométrie fractale de ces mêmes peuplements. Sa conclusion est que toute la géométrie des peuplements mixtes change avec les proportions initiales des espèces et avec l'âge.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[allometry]]></kwd>
<kwd lng="en"><![CDATA[fractal geometry]]></kwd>
<kwd lng="en"><![CDATA[self-thinned mixed stands]]></kwd>
<kwd lng="en"><![CDATA[Picea sitchensis]]></kwd>
<kwd lng="en"><![CDATA[Pinus nigra ssp.laricio]]></kwd>
<kwd lng="en"><![CDATA[Pinus pinaster]]></kwd>
<kwd lng="en"><![CDATA[Pseudotsuga menziesii]]></kwd>
<kwd lng="en"><![CDATA[Quercus robur]]></kwd>
<kwd lng="pt"><![CDATA[alometria]]></kwd>
<kwd lng="pt"><![CDATA[fractais]]></kwd>
<kwd lng="pt"><![CDATA[povoamentos auto-desbastados mistos]]></kwd>
<kwd lng="pt"><![CDATA[Picea sitchensis]]></kwd>
<kwd lng="pt"><![CDATA[Pinus nigra ssp. laricio]]></kwd>
<kwd lng="pt"><![CDATA[Pinus pinaster]]></kwd>
<kwd lng="pt"><![CDATA[Pseudotsuga menziesii]]></kwd>
<kwd lng="pt"><![CDATA[Quercus robur]]></kwd>
<kwd lng="fr"><![CDATA[allométrie]]></kwd>
<kwd lng="fr"><![CDATA[fractale]]></kwd>
<kwd lng="fr"><![CDATA[peuplements auto-éclaircis réguliers mixtes]]></kwd>
<kwd lng="fr"><![CDATA[Picea sitchensis]]></kwd>
<kwd lng="fr"><![CDATA[Pinus nigra ssp. laricio]]></kwd>
<kwd lng="fr"><![CDATA[Pinus pinaster]]></kwd>
<kwd lng="fr"><![CDATA[Pseudotsuga menziesii]]></kwd>
<kwd lng="fr"><![CDATA[Quercus robur]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="center" ><b>The Changing Geometry of Self-Thinned Mixed Stands. </b></p>     <p align="center"  ><b>A Simulative Quest</b></p>     <p align="center"  ><b >Luís Soares Barreto</b></p>     <p align="center"  >Jubilee Professor of Forestry</p>     <p align="center">Av. do M.F.A., 41-3D, 2825-372 COSTA DA CAPARICA</p>     <p align="center">&nbsp;</p>         <p align="justify"  ><b>Abstract</b>. The author uses an analytical procedure    he developed, and simulated data of self-thinned even-aged mixed stands of <i>Quercus    robur</i>+<i>Pinus pinaster, Pseudotsuga menziesii+Picea sitchensis, </i>and<i>    Pinus nigra </i>ssp.<i>laricio+Pinus pinaster, </i>to scrutinize the allometry    and fractal geometry of this type of stands. He verified that they are highly    variable. They continuously change with initial proportions of each population,    and age.</p>     <p align="justify"  ><b>Key words: </b>allometry; fractal geometry; self-thinned    mixed stands; <i>Picea sitchensis; Pinus nigra </i>ssp.<i>laricio; Pinus pinaster;    Pseudotsuga menziesii; Quercus robur</i></p>     <p align="justify"  >&nbsp;</p>     <p align="justify"  ><b>A Geometria Variável dos Povoamentos Regulares Auto-Desbastados    Mistos. Uma Inquirição Simulatória</b></p>     ]]></body>
<body><![CDATA[<p align="justify"  ><b>Sumário. </b>O autor usa um procedimento analítico que    desenvolve e simulações de povoamentos auto-desbastados regulares mistos de    <i>Quercus robur</i>+<i>Pinus pinaster, Pseudotsuga menziesii+Picea sitchensis,    </i>e<i> Pinus nigra </i>ssp.<i>laricio+Pinus pinaster, </i>para propor uma    clarificação da alometria e geometria fractal deste tipo de povoamentos. Verifica-se    que estas são altamente instáveis, variando com as proporções inicias das populações    e idade.</p>     <p align="justify"  ><b>Palavras-chave: </b>alometria; fractais; povoamentos auto-desbastados    mistos; <i>Picea sitchensis; Pinus nigra </i>ssp. <i>laricio; Pinus pinaster;    Pseudotsuga menziesii; Quercus robur</i></p>     <p align="justify"  >&nbsp;</p>     <p align="justify"  ><b>Le Changement de Géométrie des Peuplements Réguliers    Auto-Éclaircis. Une Enquête avec Simulation</b></p>     <p align="justify"  ><b>Résumé. </b>L'auteur simule des peuplements auto-éclaircis    réguliers mixtes de <i>Quercus robur</i>+<i>Pinus pinaster, Pseudotsuga menziesii+Picea    sitchensis, </i>et<i> Pinus nigra </i>ssp.<i>laricio+Pinus pinaster</i>. Il    utilise les résultats de ces simulations pour clarifier l'allométrie, et la    géométrie fractale de ces  mêmes peuplements. Sa conclusion est que toute la    géométrie des peuplements mixtes change avec les  proportions initiales des    espèces et avec l'âge.</p>     <p align="justify"  ><b>Mots clés</b>: allométrie&nbsp;; fractale&nbsp;; peuplements    auto-éclaircis réguliers mixtes&nbsp;; <i>Picea sitchensis; Pinus nigra </i>ssp.    <i>laricio; Pinus pinaster; Pseudotsuga menziesii; Quercus robur</i></p>     <p align="justify"  >&nbsp;</p>     <p align="justify"  >Texto completo disponível apenas em PDF.</p>     <p>Full text only available in PDF format.</p>     <p>&nbsp;</p>     ]]></body>
<body><![CDATA[<p align="justify"  ><b>References</b></p>     <!-- ref --><p align="justify" >Barreto, L.S., 1990. <i>Two species even-aged self-thinned    stands. A simulation approach.</i> Departamento de Engenharia Florestal, Instituto    Superior de Agronomia, Lisboa.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=000024&pid=S0870-6352200700010000900001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><p align="justify" >Barreto, L.S., 1994a. The clarification of the 3/2 power law    using simulators SANDRIS and PINASTER. <i>Silva Lusitana </i><b>2</b>(1) : 17-30.</p>     <p align="justify" >Barreto, L.S., 1994b. The dynamics of the biomass of maritime    pine trees and stands. <i>Silva Lusitana </i><b>2(</b>2) : 239-246.</p>     <p align="justify" >Barreto, L.S., 1995. The fractal nature of the geometry of    self-thinned pure stands. <i>Silva Lusitana </i><b>3</b>(1) : 37-51.</p>     <p align="justify" >Barreto, L.S., 1997. Coexistence and competitive ability of    tree species. Elaborations on Grime's theory.<i> </i><i>Silva Lusitana </i><b>5</b>(1)    : 79-93.</p>     <p align="justify" >Barreto, L.S., 1998a. TWINS. A simulator for a few mixed stands    with two species of close competitiveness. <i>Silva Lusitana </i><b>6</b>(1)    : 89-99.</p>     <p align="justify" >Barreto, L.S., 1998b. Povoamentos mistos regulares de pinheiro    bravo e folhosas. Uma abordagem simulatória.<i> Silva Lusitana </i><b>6</b>(2)    : 241-245.</p>     <p align="justify" >Barreto, L.S., 1999a. A tentative typification of the patterns    interaction with models BACO2 and BACO3.<i> </i><i>Silva Lusitana </i><b>7</b>(1)    : 17-25.</p>     <p align="justify" >Barreto, L.S., 1999b. US-EVEN. A program to support the forestry    of some even-aged North-American Stands.<i> </i><i>Silva Lusitana </i><b>7</b>(2)    : 233-248.</p>     ]]></body>
<body><![CDATA[<p align="justify" >Barreto, L.S., 1999c. Model CORSO and the dynamics of the    biomass of trees and stands of Corsican pine. Departamento de Engenharia Florestal,    Instituto Superior de Agronomia, Lisboa. A revised version of this paper, also    integrating my article <i>CORSICANA</i><i>. A Program to Support the Management    of Uneven-Aged Stands of Corsican Pine</i>, was submitted for publication to    Silva Lusitana.</p>     <p align="justify" >Barreto, L.S., 2000a. <i>Pinhais Mansos. Ecologia e Gestão.    </i>Estação Florestal Nacional, Lisboa.</p>     <p align="justify" >Barreto, L.S., 2000b. <i>SB-MIXPINAST</i><i>. A Simulator    for a few Mixed Stands with </i>Pinus pinaster. Departamento de Engenharia Florestal,    Instituto Superior de Agronomia, Lisboa. </p>     <p align="justify" > Barreto, L.S., 2002a. ROBUR+H. A simulator for four even-aged    self-thinned stands of <i>Quercus</i> <i>robur</i> and another hardwood.<i>    </i><i>Silva Lusitana</i> <b>10</b>(1) : 111-117.</p>     <p align="justify" >Barreto, L.S., 2002b. <i>The Changing Geometry of Self-thinned    Mixed Stands. A Simulative Quest.</i> Research Paper SB-02/02. Departamento    de Engenharia Florestal, Instituto Superior de Agronomia, Lisboa.</p>     <p align="justify" >Barreto, L.S., 2004. <i>SB-CORSICA</i><i>. A program to support    the management of Corsican pine stands.</i> <i>Silva Lusitana </i><b>12</b>(1)    : 105-121.</p>     <p align="justify" >Puetmann, K.J., Hibbs, D.E., Hann, D.W., 1992. The dynamics    of mixed stands of <i>Alnus rubra </i>and <i>Pseudotsuga menziesii</i>: extension    of size-density analysis to species mixtures. <i>Journal of Ecology</i> <b>80</b>    : 449-458.</p>     <p align="justify" >&nbsp;</p>       <p  ><i>Entregue para publicação em Novembro de 2002</i></p>      <p  ><i>Aceite para publicação em Dezembro de 2004</i></p>     ]]></body>
<body><![CDATA[<p  >&nbsp;</p>          ]]></body><back>
<ref-list>
<ref id="B1">
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<person-group person-group-type="author">
<name>
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<source><![CDATA[Two species even-aged self-thinned stands: A simulation approach]]></source>
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</article>
