<?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>2007-1132</journal-id>
<journal-title><![CDATA[Revista mexicana de ciencias forestales]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. de cienc. forestales]]></abbrev-journal-title>
<issn>2007-1132</issn>
<publisher>
<publisher-name><![CDATA[Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-11322018000500188</article-id>
<article-id pub-id-type="doi">10.29298/rmcf.v9i49.162</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Autoaclareo y manejo de la densidad en rodales coetáneos de Pinus patula Schiede ex Schlechtdl. &amp; Cham.]]></article-title>
<article-title xml:lang="en"><![CDATA[Self-thinning and density management in even-aged Pinus patula Schiede ex Schlechtdl. &amp; Cham. stands]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Camacho-Montoya]]></surname>
<given-names><![CDATA[J. Alberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[Wenceslao]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Ortiz]]></surname>
<given-names><![CDATA[Gerardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Antúnez]]></surname>
<given-names><![CDATA[Pablo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[Elías]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Suárez-Mota]]></surname>
<given-names><![CDATA[Mario Ernesto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de la Sierra Juárez Maestría en Ciencias ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de la Sierra Juárez Instituto de Estudios Ambientales División de Estudios de Posgrado]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Instituto Tecnológico del Valle de Oaxaca División de Estudios de Posgrado e Investigación ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Dirección Técnica Forestal de la comunidad Ixtlán de Juárez  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2018</year>
</pub-date>
<volume>9</volume>
<numero>49</numero>
<fpage>188</fpage>
<lpage>212</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-11322018000500188&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-11322018000500188&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-11322018000500188&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: La comunidad de Ixtlán de Juárez, Oaxaca, posee un potencial maderable importante debido a la productividad alta de su bosque. Una de las especies con mayor importancia es Pinus patula debido a la distribución y valor comercial alto; además, es de crecimiento rápido. Por lo tanto, es necesario determinar los límites de la densidad máxima posible que los rodales pueden sustentar para dirigir acciones encaminadas al control de la competencia y redistribución del espacio de crecimiento. En este estudio se estimó la línea de densidad máxima (límite superior del autoaclareo) con el modelo de Reineke mediante dos enfoques de estimación de los parámetros: 1) mínimos cuadrados ordinarios (MCO) y 2) regresión de frontera estocástica (RFE) con los modelos de tipo seminormal (half-normal) y normal truncado (truncated-normal). Para el ajuste del modelo se utilizaron datos de 64 parcelas permanentes de investigación silvícola de 400 m2 de rodales puros y coetáneos de P. patula. La estimación del límite superior del autoaclareo con el modelo de RFE en la forma seminormal fue eficiente y permitió conocer el índice de densidad máxima de los rodales estudiados. La línea de densidad máxima representó el insumo primordial para construir una guía de densidad; herramienta indispensable para la definición de regímenes de aclareo y optimización del espacio de crecimiento.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: The community of Ixtlán de Juárez, Oaxaca has a significant timber potential due to the high productivity of the forest. One of the most important species is Pinus patula, because of the abundant distribution, high commercial value and rapid growth. Therefore, it is necessary to determine the limits of the possible maximum density that the stands can sustain to lead actions to control competition and growth space. In this study, the maximum density line (upper limit of self-thinning) was estimated under the Reineke model through two approaches: 1) ordinary least squares (OLS) and 2) stochastic frontier regression (SFR), the last with half-normal and truncated-normal models. A total of 64 permanent sampling plots of 400 m2 in even-aged stands of P. patula were used. The estimate of the upper bound of the self-thinning with SFR approach with half-normal form was more efficient and let to know the maximum density index of even-aged stands. The upper bound of self-thinning line is the primary input for the construction of a stand density management diagram, which is essential tool for the definition of regimes of thinning and growth space optimization.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Competencia]]></kwd>
<kwd lng="es"><![CDATA[guía de densidad]]></kwd>
<kwd lng="es"><![CDATA[índice de densidad del rodal]]></kwd>
<kwd lng="es"><![CDATA[régimen de aclareos]]></kwd>
<kwd lng="es"><![CDATA[regresión de frontera estocástica]]></kwd>
<kwd lng="es"><![CDATA[Reineke]]></kwd>
<kwd lng="en"><![CDATA[Competition]]></kwd>
<kwd lng="en"><![CDATA[density management diagram]]></kwd>
<kwd lng="en"><![CDATA[stand density index]]></kwd>
<kwd lng="en"><![CDATA[thinning regime]]></kwd>
<kwd lng="en"><![CDATA[stochastic frontier regression model]]></kwd>
<kwd lng="en"><![CDATA[Reineke]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Aigner]]></surname>
<given-names><![CDATA[D. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Lovell]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Schmidt]]></surname>
<given-names><![CDATA[P. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Formulation and estimation of stochastic frontier production functions models]]></article-title>
<source><![CDATA[Journal of Econometrics]]></source>
<year>1977</year>
<volume>6</volume>
<page-range>21-37</page-range></nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Álvarez C.]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[La estimación econométrica de fronteras de producción: una revisión de literatura]]></source>
<year>1998</year>
<page-range>41</page-range><publisher-loc><![CDATA[Oviedo, España ]]></publisher-loc>
<publisher-name><![CDATA[Departamento de Economía. Facultad de Ciencias Económicas y Empresariales. Universidad de Oviedo]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Wan]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Turvey]]></surname>
<given-names><![CDATA[N. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estimating the self-thinning boundary line as a density-dependent stochastic biomass frontier]]></article-title>
<source><![CDATA[Ecology]]></source>
<year>2000</year>
<volume>81</volume>
<page-range>1477-83</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The self-thinning surface]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>2001</year>
<volume>47</volume>
<page-range>361-70</page-range></nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stochastic frontier analysis of a classic self-thinning experiment]]></article-title>
<source><![CDATA[Australian Ecology]]></source>
<year>2004</year>
<volume>29</volume>
<page-range>408-17</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chauchard]]></surname>
<given-names><![CDATA[L. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Sbrancia]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Maresca]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Rabino]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Aplicación de las leyes fundamentales de la densidad a bosques de Nothofagus: I. regla de los -3/2 o ley del autorraleo]]></article-title>
<source><![CDATA[Bosque]]></source>
<year>1999</year>
<volume>20</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>79-94</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Corvalán]]></surname>
<given-names><![CDATA[V. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Diagrama de manejo de la densidad de rodal para el control del tamaño de ramas basales en bosques septentrionales altoandinos dominados por roble en la región del Maule]]></source>
<year>2015</year>
<page-range>121</page-range><publisher-loc><![CDATA[La Pintana, Región Metropolitana, Chile ]]></publisher-loc>
<publisher-name><![CDATA[Facultad de Ciencias Forestales y de la Conservación de la Naturaleza. Universidad de Chile]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Curtis]]></surname>
<given-names><![CDATA[R. O.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A simple index of stand density for Douglas-fir]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>1982</year>
<volume>28</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>92-4</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Daniel]]></surname>
<given-names><![CDATA[T. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Helms]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Baker]]></surname>
<given-names><![CDATA[F. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Principles of Silviculture]]></source>
<year>1979</year>
<page-range>500</page-range><publisher-loc><![CDATA[New York, NY USA ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Drew]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Flewelling]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Some recent Japanese theories of yield-density relationships and their application to Monterey pine plantations]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>1977</year>
<volume>23</volume>
<page-range>517-34</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Färe]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Grosskopf]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Lovell]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Production frontiers]]></source>
<year>1994</year>
<page-range>296</page-range><publisher-loc><![CDATA[New York, NY USA ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gezan]]></surname>
<given-names><![CDATA[S. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Ortega]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Andenmatten]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Diagramas de manejo de densidad para renovales de roble, raulí y coigüe en Chile]]></article-title>
<source><![CDATA[Bosque]]></source>
<year>2007</year>
<volume>28</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>97-105</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Harper]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Population biology of plants]]></source>
<year>1977</year>
<page-range>892</page-range><publisher-loc><![CDATA[London, UK ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hernández R.]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[García M.]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Muñoz F.]]></surname>
<given-names><![CDATA[H. J.]]></given-names>
</name>
<name>
<surname><![CDATA[García C.]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Sáenz R.]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Flores L.]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernández R]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Guía de densidad para manejo de bosques naturales de Pinus teocote Schlecht. et Cham. en Hidalgo]]></article-title>
<source><![CDATA[Revista Mexicana de Ciencias Forestales]]></source>
<year>2013</year>
<volume>4</volume>
<numero>19</numero>
<issue>19</issue>
<page-range>62-77</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Irizo]]></surname>
<given-names><![CDATA[F. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruiz]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Algunas observaciones acerca del uso de software en la estimación del modelo Half-Normal]]></article-title>
<source><![CDATA[Revista de Métodos Cuantitativos para la Economía y la Empresa]]></source>
<year>2011</year>
<volume>11</volume>
<page-range>3-16</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jack]]></surname>
<given-names><![CDATA[S. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Long]]></surname>
<given-names><![CDATA[J. N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Linkages between silviculture and ecology: an analysis of density management diagrams]]></article-title>
<source><![CDATA[Forest Ecology and Managenment]]></source>
<year>1996</year>
<volume>86</volume>
<page-range>205-20</page-range></nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kanninen]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Pérez]]></surname>
<given-names><![CDATA[L. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Montero]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Viquez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Intensity and timing of the first thinning of plantations in Costa Rica: results of a thinning trial]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2004</year>
<volume>203</volume>
<numero>88-99</numero>
<issue>88-99</issue>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumbhakar]]></surname>
<given-names><![CDATA[S. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Lovell]]></surname>
<given-names><![CDATA[C. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Stochastic frontier analysis]]></source>
<year>2000</year>
<page-range>335</page-range><publisher-loc><![CDATA[New York, NY USA ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Long]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Smith]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Relation between size and density in developing stands: a description and possible mechanisms]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>1983</year>
<volume>7</volume>
<page-range>191-206</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Long]]></surname>
<given-names><![CDATA[J. N.]]></given-names>
</name>
<name>
<surname><![CDATA[Shaw]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A density management diagram for even-aged ponderosa pine stands]]></article-title>
<source><![CDATA[Western Journal of Applied Forestry]]></source>
<year>2005</year>
<volume>20</volume>
<page-range>205-15</page-range></nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lonsdale]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The self-thinning rule: dead or alive?]]></article-title>
<source><![CDATA[Ecology]]></source>
<year>1990</year>
<volume>71</volume>
<page-range>1373-88</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[López V.]]></surname>
<given-names><![CDATA[M. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago G.]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Quiñonez B.]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Suárez M.]]></surname>
<given-names><![CDATA[M. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago J.]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago G]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Ecuaciones globales y locales de altura-diámetro de 12 especies de interés comercial en bosques manejados]]></article-title>
<source><![CDATA[Revista Mexicana de Agroecosistemas]]></source>
<year>2017</year>
<volume>4</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>113-26</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Meeusen]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Van Den Broeck]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Efficiency estimation from Cobb-Douglas production functions with composed error]]></article-title>
<source><![CDATA[Internacional Economic Review]]></source>
<year>1977</year>
<volume>18</volume>
<page-range>435-44</page-range></nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Müller U.]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Gajardo]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Desarrollo de una guía de manejo de la densidad en bosques de segundo crecimiento de roble (Nothofagus obliqua) en la región del Biobío]]></article-title>
<source><![CDATA[Bosque]]></source>
<year>2013</year>
<volume>34</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>201-9</page-range></nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Osawa]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Allen]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Allometric theory explains self-thinning relationships of mountain beech and red pine]]></article-title>
<source><![CDATA[Ecology]]></source>
<year>1993</year>
<volume>74</volume>
<page-range>1020-32</page-range></nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pretzsch]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Biber]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A re-evaluation of Reineke&#8217;s rule and stand density index]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>2005</year>
<volume>51</volume>
<page-range>304-20</page-range></nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Quintero]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Jerez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modelo de optimización heurística para la prescripción de regímenes de aclareo en plantaciones de Tectona grandis]]></article-title>
<source><![CDATA[Revista Forestal Venezolana]]></source>
<year>2013</year>
<volume>57</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>37-47</page-range></nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Quiñonez B.]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Tamarit U.]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Martínez S.]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[García C.]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Santos-Posadas]]></surname>
<given-names><![CDATA[H. M. de los]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago G]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Maximum density and density management diagram for mixed-species forests in Durango, Mexico]]></article-title>
<source><![CDATA[Revista Chapingo Serie Ciencias Forestales y del Ambiente]]></source>
<year>2018</year>
<volume>24</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>73-90</page-range></nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Reineke]]></surname>
<given-names><![CDATA[L. H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Perfecting a stand-density index for even-aged forests]]></article-title>
<source><![CDATA[Journal of Agricultural Research]]></source>
<year>1933</year>
<volume>46</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>627-38</page-range></nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rodríguez J.]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[Sistemas compatibles de cubicación de árboles individuales para dos especies de interés comercial en Ixtlán de Juárez, Oaxaca]]></source>
<year>2017</year>
<page-range>116</page-range><publisher-loc><![CDATA[Ixtlán de Juárez, Oax, México ]]></publisher-loc>
<publisher-name><![CDATA[Universidad de la Sierra Juárez]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rodríguez L.]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Razo Z.]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Díaz H]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Meza R]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Guía de densidad para Pinus montezumae en su área de distribución natural en el estado de Hidalgo]]></source>
<year>2009</year>
<page-range>33</page-range><publisher-loc><![CDATA[Pachuca, Hgo., México ]]></publisher-loc>
<publisher-name><![CDATA[Universidad Autónoma del Estado de Hidalgo]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rzedowski]]></surname>
<given-names><![CDATA[J]]></given-names>
</name>
</person-group>
<source><![CDATA[Vegetación de México]]></source>
<year>2006</year>
<publisher-name><![CDATA[Conabio]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanhueza H.]]></surname>
<given-names><![CDATA[R. E]]></given-names>
</name>
</person-group>
<source><![CDATA[Fronteras de eficiencia, metodología para la determinación del valor agregado de distribución]]></source>
<year>2003</year>
<page-range>169</page-range><publisher-loc><![CDATA[Santiago de Chile, Chile ]]></publisher-loc>
<publisher-name><![CDATA[Escuela de Ingeniería, Pontificia Universidad Católica de Chile]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santiago G.]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[De los Santos P.]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ángeles P.]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Valdez L.]]></surname>
<given-names><![CDATA[J. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Del Valle P.]]></surname>
<given-names><![CDATA[D. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Corral R]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Auto-aclareo y guías de densidad para Pinus patula mediante el enfoque de regresión de frontera estocástica]]></article-title>
<source><![CDATA[Agrociencia]]></source>
<year>2013</year>
<volume>47</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>79-89</page-range></nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santiago G.]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Pérez L.]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Quiñonez B.]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez O.]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago G.]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ruiz A.]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Tamarit U.]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A dynamic system of growth and yield equations for Pinus patula]]></article-title>
<source><![CDATA[Forests]]></source>
<year>2017</year>
<volume>8</volume>
<numero>12</numero>
<issue>12</issue>
<page-range>465</page-range></nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="book">
<collab>Statistical Analysis System (SAS)</collab>
<source><![CDATA[SAS/ETS&#8482; 9.3 User&#8217;s Guide]]></source>
<year>2011</year>
<publisher-loc><![CDATA[Cary, NC USA ]]></publisher-loc>
<publisher-name><![CDATA[SAS Institute Inc]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Thomson]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Weiblen]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Thomson]]></surname>
<given-names><![CDATA[B. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Alfaro]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Legendre]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Untangling multiple factors in spatial distributions: lilies, gophers and rocks]]></article-title>
<source><![CDATA[Ecology]]></source>
<year>1996</year>
<volume>77</volume>
<page-range>1698-715</page-range></nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vargas L.]]></surname>
<given-names><![CDATA[B]]></given-names>
</name>
</person-group>
<source><![CDATA[Caracterización de la productividad y estructura de Pinus harwegii Lind. en tres gradientes altitudinales en el Cerro Potosí, Galeana, Nuevo León]]></source>
<year>1999</year>
<publisher-loc><![CDATA[Sn Nicolás de los Garza, NL, México ]]></publisher-loc>
<publisher-name><![CDATA[Universidad Autónoma de Nuevo León]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vacchiano]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Motta]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Long]]></surname>
<given-names><![CDATA[J. N.]]></given-names>
</name>
<name>
<surname><![CDATA[Shaw]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A density management diagram for Scots pine (Pinus sylvestris L.): A tool for assessing the forest&#8217;s protective effect]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2008</year>
<volume>255</volume>
<page-range>2542-54</page-range></nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vincent]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Moret]]></surname>
<given-names><![CDATA[A. Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Jerez]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Comparación de algunos regímenes de espesura en plantaciones de teca en el área experimental de la Reserva Forestal de Caparo, Venezuela]]></article-title>
<source><![CDATA[Revista Forestal Venezolana]]></source>
<year>2000</year>
<volume>44</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>87-95</page-range></nlm-citation>
</ref>
<ref id="B41">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weller]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A reevaluation of the -3/2 power rule of self-thinning]]></article-title>
<source><![CDATA[Ecological Monographs]]></source>
<year>1987</year>
<volume>57</volume>
<page-range>23-43</page-range></nlm-citation>
</ref>
<ref id="B42">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Westoby]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The self-thinning rule]]></article-title>
<source><![CDATA[Advances in Ecological Research]]></source>
<year>1984</year>
<volume>14</volume>
<page-range>167-225</page-range></nlm-citation>
</ref>
<ref id="B43">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The thinning rule and its application to mixtures of plant populations]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Studies on plant demography]]></source>
<year>1985</year>
<page-range>291-309</page-range><publisher-loc><![CDATA[New York, NY USA ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B44">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yoda]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Ogawa]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Hozumi]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Self-thinning in overcrowded pure stands under cultivated and natural conditions (Intraspecific competition among higher plants XI)]]></source>
<year>1963</year>
<volume>14</volume>
<page-range>107-29</page-range><publisher-loc><![CDATA[Osaka, Japan ]]></publisher-loc>
<publisher-name><![CDATA[Japan Polytechnic Institute]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B45">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zeide]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of the 3/2 power law of self-thinning]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>1987</year>
<volume>33</volume>
<page-range>571-37</page-range></nlm-citation>
</ref>
<ref id="B46">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Bi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Gove]]></surname>
<given-names><![CDATA[J. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Heath]]></surname>
<given-names><![CDATA[L. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A comparison of alternative methods for estimating the self-thinning boundary line]]></article-title>
<source><![CDATA[Canadian Journal of Forest Research]]></source>
<year>2005</year>
<volume>35</volume>
<page-range>1507-14</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
