<?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>S2007-11322025000300059</article-id>
<article-id pub-id-type="doi">10.29298/rmcf.v16i89.1508</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Ecuaciones de ahusamiento y volumen implícito para Pinus leiophylla Schiede ex Schltdl. &amp; Cham. en Michoacán]]></article-title>
<article-title xml:lang="en"><![CDATA[Tapering and implied volume equations for Pinus leiophylla Schiede ex Schltdl. &amp; Cham. in state of Michoacán]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Muñoz-Flores]]></surname>
<given-names><![CDATA[H. Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Ramos]]></surname>
<given-names><![CDATA[Jonathan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Barrera-Ramírez]]></surname>
<given-names><![CDATA[Rubén]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García-Cuevas]]></surname>
<given-names><![CDATA[Xavier]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández-Ramos]]></surname>
<given-names><![CDATA[Adrián]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gómez-Cárdenas]]></surname>
<given-names><![CDATA[Martín]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2025</year>
</pub-date>
<volume>16</volume>
<numero>89</numero>
<fpage>59</fpage>
<lpage>83</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-11322025000300059&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-11322025000300059&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-11322025000300059&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La descripción del ahusamiento (di) y la estimación precisa del volumen fustal (Vf) son fundamentales en la estimación de las existencias maderables y la distribución de productos. El objetivo del estudio fue ajustar una función de ahusamiento y definir el modelo de Vf implícito para árboles de Pinus leiophylla en la comunidad indígena Patambán, Tangancícuaro, Michoacán, México. Con información de 36 árboles dominantes provenientes de plantaciones forestales (245 datos de diámetro normal [d], diámetros [di] y alturas [Ai] a distintas secciones del fuste), se ajustaron ocho funciones de ahusamiento. Mediante Modelos de efectos mixtos (MEM) y la técnica de Máxima verosimilitud se realizó la corrección de heterocedasticidad y autocorrelación, con la expresión varExp:  v a r     &#949;  i j =   e x p  2 &#8729;   &#948;  1 &#8729;   v  i y una estructura de media móvil (ARMA) de orden (p, q), respectivamente. Estadísticamente, la expresión de ahusamiento de Clutter:  d i = 2.256   × d  0.943   ×   A t - A i  1.434 + u i   × A t  - 1.617 fue más precisa al incluir de forma aditiva el efecto aleatorio ( u i) en el parámetro relacionado a la altura total (At). La explicación de la variabilidad muestral fue de 97.8 %, con un error global de estimación de 1.406 cm y sesgo individual de 0.0138 cm. El modelo de Vf implícito fue Schumacher-Hall:  V f = 1.3150 ×   A t  0.6345 ×   d  3.8853 (d y At en m). Las expresiones propuestas pueden incluirse de manera confiable en la descripción de datos de inventarios o en las estimaciones de rendimiento para cultivos forestales.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The description of the taper (di) and the precise estimation of the stem volume (sV) are fundamental in the estimation of the timber stock and the distribution of products. The objective of the study was to fit a taper function and define the implicit sV model for Pinus leiophylla trees in the indigenous community of Patambán, Tangancícuaro, state of Michoacán, Mexico. Eight taper functions were fitted using data from 36 dominant trees from forest plantations (245 normal diameter [d], diameters [di] and heights [Ai] at different stem sections). Mixed effects models (MEM) and the maximum likelihood technique were utilized to correct for heteroscedasticity and self-correlation with the expression varExp:  v a r     &#949;  i j =   e x p  2 &#8729;   &#948;  1 &#8729;   v  i and a moving average (ARMA) structure of order (p, q), respectively. Statistically, Clutter&#8217;s taper expression:  d i = 2.256   × d  0.943   ×   T h - I h  1.434 + u i   × T h  - 1.617 was more accurate as it included the random effect ( u i) additively in the total height parameter (Th). The explanation of sampling variability was 97.8 %, with an overall estimation error of 1.406 cm and an individual bias of 0.0138 cm. The implicit sV model was Schumacher-Hall:  S v = 1.3150 × T h ×   d  3.8853 (d and Th in m). The proposed expressions can be reliably included in the description of inventory data or yield estimates for forest crops.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Aprovechamiento forestal]]></kwd>
<kwd lng="es"><![CDATA[Clutter]]></kwd>
<kwd lng="es"><![CDATA[efectos mixtos]]></kwd>
<kwd lng="es"><![CDATA[mercado diferenciado]]></kwd>
<kwd lng="es"><![CDATA[perfil fustal]]></kwd>
<kwd lng="es"><![CDATA[Schumacher-Hall]]></kwd>
<kwd lng="en"><![CDATA[Forest harvesting]]></kwd>
<kwd lng="en"><![CDATA[Clutter]]></kwd>
<kwd lng="en"><![CDATA[mixed effects]]></kwd>
<kwd lng="en"><![CDATA[differentiated market]]></kwd>
<kwd lng="en"><![CDATA[forest profile]]></kwd>
<kwd lng="en"><![CDATA[Schumacher-Hall]]></kwd>
</kwd-group>
</article-meta>
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