<?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>S2007-11322023000200120</article-id>
<article-id pub-id-type="doi">10.29298/rmcf.v14i76.1327</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[¿Mínimos cuadrados ordinarios o regresión frontera estocástica para estimar la línea de autoaclareo con la ecuación de Yoda?]]></article-title>
<article-title xml:lang="en"><![CDATA[Ordinary least squares, or stochastic frontier regression to estimate the maximum density line with Yoda equation?]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tamarit-Urias]]></surname>
<given-names><![CDATA[Juan Carlos]]></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 Campo Experimental San Martinito ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2023</year>
</pub-date>
<volume>14</volume>
<numero>76</numero>
<fpage>120</fpage>
<lpage>145</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-11322023000200120&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-11322023000200120&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-11322023000200120&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La determinación precisa de la línea de autoaclareo mediante funciones tamaño-densidad junto con las guías para manejar la densidad (GMD) son insumos fundamentales para gestionar la densidad de rodales. Objetivos: (1) comparar las técnicas de ajuste de parámetros de mínimos cuadrados ordinarios lineales (MCO-L) combinada con criterios para desplazar la línea promedio y regresión frontera estocástica (RFE) para determinar la línea de autoaclareo con la ecuación de Yoda; (2) generar una GMD para Pinus montezumae en Puebla, México. Se utilizaron 90 sitios de muestreo circulares de 0.10 ha, ubicados en condición de alta densidad, cubrieron un amplio intervalo de edad y condiciones de crecimiento. Las variables número de árboles (N) y volumen promedio por árbol (Vp) se escalaron a una hectárea. Para MCO-L se aplicaron criterios teóricos para modificar el valor del intercepto (parámetro  &#945;) y desplazar la línea promedio a la frontera superior de las observaciones; para RFE se evaluaron las modalidades del modelo seminormal (MSN), modelo normal truncado (MNT) y modelo normal exponencial (MNE). Con el criterio de utilizar Vp y N del sitio con el índice de densidad del rodal máximo para aumentar el parámetro del intercepto, MCO-L reproduce una línea de autoaclareo similar a las modalidades de RFE. Por tanto, se seleccionó a RFE-MSN para reproducirla. El índice de densidad del rodal de Yoda fue de 9.2 m3. Con una alometría específica y 100 árboles ha-1 como densidad de referencia, se delimitaron las zonas de crecimiento de Langsaeter que conformaron la GMD, esta es útil para prescribir regímenes de aclareos.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract Accurate determination of the self-thinning line using size-density functions together with density management guidelines (DMGs) are fundamental inputs for managing stand density. Objectives: (1) to compare linear ordinary least squares (OLS) parameter fitting techniques combined with criteria to shift the mean line and stochastic frontier regression (SFR) to determine the self-thinning line with the Yoda equation; (2) to generate a DMG for Pinus montezumae in Puebla, Mexico. Ninety circular 0.10 ha sampling sites were used, located in a high density condition, covering a wide range of ages and growth conditions. The variables number of trees (N) and average volume per tree (aV) were scaled to one hectare. For OLS, theoretical criteria were applied in order to modify the value of the intercept (parameter  &#945;) and move the average line to the upper boundary of the observations; for the SFR, the semi-normal model (SNM), the truncated normal model (TNM) and exponential normal model (ENM) modalities were evaluated. With the criterion of using the aV and N of the site with the maximum stand density index to increase the intercept parameter, the OLS, a self-thinning line similar to the SFR modes is reproduced. Therefore, SFR-SNM was selected to reproduce it. The density index of the Yoda stand was 9.2 m3. With a specific allometry and 100 trees ha-1 as reference density, Langsaeter's growth zones were delimited to form the DMG, which is useful for prescribing thinning regimes.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Aclareos]]></kwd>
<kwd lng="es"><![CDATA[densidad del rodal]]></kwd>
<kwd lng="es"><![CDATA[ley de -3/2]]></kwd>
<kwd lng="es"><![CDATA[MCO o RFE]]></kwd>
<kwd lng="es"><![CDATA[modelo tamaño-densidad]]></kwd>
<kwd lng="es"><![CDATA[Pinus montezumae Lamb]]></kwd>
<kwd lng="en"><![CDATA[Thinnings]]></kwd>
<kwd lng="en"><![CDATA[stand density]]></kwd>
<kwd lng="en"><![CDATA[law of -3/2]]></kwd>
<kwd lng="en"><![CDATA[OLS or SFR]]></kwd>
<kwd lng="en"><![CDATA[size-density model]]></kwd>
<kwd lng="en"><![CDATA[Pinus montezumae Lamb]]></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[Aiguo]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Lihua]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Jianguo]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Self-thinning rules at Chinese fir (Cunninghamia lanceolata) plantations-based on a permanent density trial in southern China]]></article-title>
<source><![CDATA[Journal of Resources and Ecology]]></source>
<year>2019</year>
<volume>10</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>315-23</page-range></nlm-citation>
</ref>
<ref id="B2">
<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[Austral Ecology A Journal of ecology in the Southern Hemisphere]]></source>
<year>2004</year>
<volume>29</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>408-17</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brunet-Navarro]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Sterck]]></surname>
<given-names><![CDATA[F. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Vayreda]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Martinez-Vilalta]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Mohren]]></surname>
<given-names><![CDATA[G. M. J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Self-thinning in four pine species: an evaluation of potential climate impacts]]></article-title>
<source><![CDATA[Annals of Forest Science]]></source>
<year>2016</year>
<volume>73</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>1025-34</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Burkhart]]></surname>
<given-names><![CDATA[H. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Tomé]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Modeling forest trees and stands]]></source>
<year>2012</year>
<page-range>458</page-range><publisher-loc><![CDATA[New York, NY, United States of America ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Camacho-Montoya]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez-Ortiz]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Antúnez]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Suárez-Mota]]></surname>
<given-names><![CDATA[M. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Autoaclareo y manejo de la densidad en rodales coetáneos de Pinus patula Schiede ex Schlechtdl. &amp; Cham]]></article-title>
<source><![CDATA[Revista Mexicana de Ciencias Forestales]]></source>
<year>2018</year>
<volume>9</volume>
<numero>49</numero>
<issue>49</issue>
<page-range>188-212</page-range></nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Comeau]]></surname>
<given-names><![CDATA[P. G.]]></given-names>
</name>
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Kerr]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Hale]]></surname>
<given-names><![CDATA[S. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Maximum density-size relationships for Sitka spruce and coastal Douglas-fir in Britain and Canada]]></article-title>
<source><![CDATA[Forestry: An International Journal of Forest Research]]></source>
<year>2010</year>
<volume>83</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>461-8</page-range></nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="">
<collab>Comisión Nacional Forestal (Conafor)</collab>
<source><![CDATA[Paquetes Tecnológicos Pinus montezumae Lamb]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fu]]></surname>
<given-names><![CDATA[L. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Duan]]></surname>
<given-names><![CDATA[A. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Sun]]></surname>
<given-names><![CDATA[H. G.]]></given-names>
</name>
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[C. Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[eview of studies on maximum size-density rules]]></article-title>
<source><![CDATA[Chinese Journal of Plant Ecology]]></source>
<year>2008</year>
<volume>32</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>501-11</page-range></nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gavrikov]]></surname>
<given-names><![CDATA[V. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An application of bole surface growth model: a transitional status of &#8216;&#8722;3/2&#8217; rule]]></article-title>
<source><![CDATA[European Journal of Forest Research]]></source>
<year>2015</year>
<volume>134</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>715-24</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ge]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Zeng]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Ma]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Meng]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Does the slope of the self-thinning line remain a constant value across different site qualities? -An implication for plantation density management]]></article-title>
<source><![CDATA[Forests]]></source>
<year>2017</year>
<volume>8</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>355-67</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gilmore]]></surname>
<given-names><![CDATA[D. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Briggs]]></surname>
<given-names><![CDATA[R. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A stocking guide for European larch in eastern North America]]></article-title>
<source><![CDATA[Northern Journal of Applied Forestry]]></source>
<year>2003</year>
<volume>20</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>34-8</page-range></nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kamara]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Deshar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Sharma]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kamruzzaman]]></surname>
<given-names><![CDATA[Md.]]></given-names>
</name>
<name>
<surname><![CDATA[Hagihara]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The self-thinning exponent in overcrowded stands of the mangrove, Kandelia obovata, on Okinawa Island, Japan]]></article-title>
<source><![CDATA[Journal of Oceanography]]></source>
<year>2012</year>
<volume>68</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>851-6</page-range></nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kimsey Jr.]]></surname>
<given-names><![CDATA[M. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Shaw]]></surname>
<given-names><![CDATA[T. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Coleman]]></surname>
<given-names><![CDATA[M. D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Site sensitive maximum stand density index models for mixed conifer stands across the Inland Northwest, USA]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2019</year>
<volume>433</volume>
<page-range>396-404</page-range></nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Langsaeter]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Om tynning i enaldret gran-og furuskog]]></article-title>
<source><![CDATA[Meddelelser fra Det norske skogforsøksvesen]]></source>
<year>1941</year>
<volume>8</volume>
<page-range>13-216</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lee]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Choi]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Evaluating maximum stand density and size-density relationships based on the competition density rule in Korean pines and Japanese larch]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2019</year>
<volume>446</volume>
<page-range>204-13</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Long]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Zeng]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estimating the self&#8208;thinning boundary line for oak mixed forests in central China by using stochastic frontier analysis and a proposed variable density model]]></article-title>
<source><![CDATA[Ecology and Evolution]]></source>
<year>2022</year>
<volume>12</volume>
<numero>9</numero>
<issue>9</issue>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Marchi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonlinear versus linearised model on stand density model fitting and stand density index calculation: analysis of coefficients estimation via simulation]]></article-title>
<source><![CDATA[Journal of Forestry Research]]></source>
<year>2019</year>
<volume>30</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>1595-602</page-range></nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[McCarthy]]></surname>
<given-names><![CDATA[J. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Weetman]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Self-thinning dynamics in a balsam fir (Abies balsamea (L.) Mill.) insect-mediated boreal forest chronosequence]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2007</year>
<volume>241</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>295-309</page-range></nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Newton]]></surname>
<given-names><![CDATA[P. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Weetman]]></surname>
<given-names><![CDATA[G. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stand density management diagrams and their development and utility in black spruce management]]></article-title>
<source><![CDATA[The Forestry Chronicle]]></source>
<year>1993</year>
<volume>69</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>421-30</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Newton]]></surname>
<given-names><![CDATA[P. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Croplanner: A stand density management decision-support software suite for addressing volumetric yield, end-product and ecosystem service objectives when managing boreal conifers]]></article-title>
<source><![CDATA[Forests]]></source>
<year>2021</year>
<volume>12</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>448</page-range></nlm-citation>
</ref>
<ref id="B21">
<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. B.]]></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>
<numero>4</numero>
<issue>4</issue>
<page-range>1020-32</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Penner]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Swift]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Gagnon]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Brissette]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A stand density management diagram for balsam fir in New Brunswick]]></article-title>
<source><![CDATA[The Forestry Chronicle]]></source>
<year>2006</year>
<volume>82</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>700-11</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pretzsch]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Forest dynamics, growth and yield. From measurement to model]]></source>
<year>2009</year>
<page-range>664</page-range><publisher-loc><![CDATA[Heidelberg, BW, Germany ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag Berlin]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Puntieri]]></surname>
<given-names><![CDATA[J. G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The self-thinning rule: bibliography revision]]></article-title>
<source><![CDATA[Preslia Praha]]></source>
<year>1993</year>
<volume>65</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>243-67</page-range></nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Quiñonez-Barraza]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Tamarit-Urias]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Martínez-Salvador]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[García-Cuevas]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[De los Santos-Posadas]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago-García]]></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="B26">
<nlm-citation citation-type="book">
<collab>R Core Team</collab>
<source><![CDATA[The R Project for Statistical Computing]]></source>
<year>2022</year>
<publisher-loc><![CDATA[Vienna, Austria ]]></publisher-loc>
<publisher-name><![CDATA[R Foundation for Statistical Computing]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rodríguez-Acosta]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Arteaga-Martínez]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Índice de sitio para Pinus chiapensis (Martínez) Andresen, en los estados de Veracruz y Puebla, México]]></article-title>
<source><![CDATA[Revista Chapingo Serie Ciencias Forestales y del Ambiente]]></source>
<year>2005</year>
<volume>11</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>39-44</page-range></nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salas&#8208;Eljatib]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Weiskittel]]></surname>
<given-names><![CDATA[A. R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Evaluation of modeling strategies for assessing self&#8208;thinning behavior and carrying capacity]]></article-title>
<source><![CDATA[Ecology and Evolution]]></source>
<year>2018</year>
<volume>8</volume>
<numero>22</numero>
<issue>22</issue>
<page-range>10768-79</page-range></nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[De los Santos-Posadas]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Ángeles-Pérez]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Valdez-Lazalde]]></surname>
<given-names><![CDATA[J. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Del Valle-Paniagua]]></surname>
<given-names><![CDATA[D. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Corral-Rivas]]></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>75-89</page-range></nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Schulze]]></surname>
<given-names><![CDATA[E. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Beck]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Buchmann]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Clemens]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Müller-Hohenstein]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Scherer-Lorenzen]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Plant ecology]]></source>
<year>2019</year>
<page-range>926</page-range><publisher-loc><![CDATA[Heidelberg, BW, Germany ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag Berlin]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Solomon]]></surname>
<given-names><![CDATA[D. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Maximum size-density relationships for mixed softwoods in the northeastern USA]]></article-title>
<source><![CDATA[Forest Ecology and Management]]></source>
<year>2002</year>
<volume>155</volume>
<numero>1-3</numero>
<issue>1-3</issue>
<page-range>163-70</page-range></nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sun]]></surname>
<given-names><![CDATA[H. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Duan]]></surname>
<given-names><![CDATA[A. G]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A comparison of selecting data points and fitting coefficients methods for estimating self-thinning boundary line]]></article-title>
<source><![CDATA[Chinese Journal of Plant Ecology]]></source>
<year>2010</year>
<volume>34</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>409-17</page-range></nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Swift]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Penner]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gagnon]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Knox]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A stand density management diagram for spruce-balsam fir mixtures in New Brunswick]]></article-title>
<source><![CDATA[The Forestry Chronicle]]></source>
<year>2007</year>
<volume>83</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>187-97</page-range></nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tamarit-Urias]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Quiñonez-Barraza]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[De los Santos-Posadas]]></surname>
<given-names><![CDATA[H. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Castañeda-Mendoza]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Santiago-García]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A stand density diagram for Pinus patula Schiede ex Schltdl. &amp; Cham. in Puebla, Mexico]]></article-title>
<source><![CDATA[Revista Mexicana de Ciencias Forestales]]></source>
<year>2019</year>
<volume>10</volume>
<numero>51</numero>
<issue>51</issue>
<page-range>157-81</page-range></nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tamarit-Urias]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Quiñonez-Barraza]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernández-Ramos]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Aspectos metodológicos para generar diagramas de manejo de la densidad de rodales con base en el índice de Reineke]]></article-title>
<source><![CDATA[Revista Mexicana de Ciencias Forestales]]></source>
<year>2020</year>
<volume>11</volume>
<numero>61</numero>
<issue>61</issue>
<page-range>4-26</page-range></nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tamarit U.]]></surname>
<given-names><![CDATA[J. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Rodríguez A.]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Lerma S.]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[SIIMADER: Sistema informático Inifap para manejar la densidad de rodales]]></article-title>
<source><![CDATA[e-Cucba]]></source>
<year>2022</year>
<volume>9</volume>
<numero>17</numero>
<issue>17</issue>
<page-range>147-55</page-range></nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tian]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Bi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Jin]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Stochastic frontiers or regression quantiles for estimating the self-thinning surface in higher dimensions?]]></article-title>
<source><![CDATA[Journal of Forestry Research]]></source>
<year>2021</year>
<volume>32</volume>
<page-range>1515-33</page-range></nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[VanderSchaaf]]></surname>
<given-names><![CDATA[C. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Burkhart]]></surname>
<given-names><![CDATA[H. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Comparison of methods to estimate Reineke's maximum size-density relationship species boundary line slope]]></article-title>
<source><![CDATA[Forest Science]]></source>
<year>2007</year>
<volume>53</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>435-42</page-range></nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weiskittel]]></surname>
<given-names><![CDATA[A. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Hann]]></surname>
<given-names><![CDATA[D. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Kershaw]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vanclay]]></surname>
<given-names><![CDATA[J. K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Forest growth and yield modeling]]></source>
<year>2011</year>
<page-range>415</page-range><publisher-loc><![CDATA[Chichester, WS, United Kingdom ]]></publisher-loc>
<publisher-name><![CDATA[Jhon Wiley &amp; Sons]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weller]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A reevaluation of the -3/2 power rule of plant self-thinning]]></article-title>
<source><![CDATA[Ecological Monographs]]></source>
<year>1987</year>
<volume>57</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>23-43</page-range></nlm-citation>
</ref>
<ref id="B41">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Xue]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Hou]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[Q.]]></given-names>
</name>
<name>
<surname><![CDATA[Hao]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Self-thinning lines and allometric relation in Chinese fir (Cunninghamia lanceolata) stands]]></article-title>
<source><![CDATA[Journal of Forestry Research]]></source>
<year>2015</year>
<volume>26</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>281-90</page-range></nlm-citation>
</ref>
<ref id="B42">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yoda]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Kira]]></surname>
<given-names><![CDATA[T.]]></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>
<article-title xml:lang=""><![CDATA[Self-thinning in overcrowded pure stands under cultivated and natural conditions (Intraspecific competition among higher plants. XI)]]></article-title>
<source><![CDATA[Journal of Biology]]></source>
<year>1963</year>
<volume>14</volume>
<page-range>107-29</page-range></nlm-citation>
</ref>
<ref id="B43">
<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>
<numero>2</numero>
<issue>2</issue>
<page-range>517-37</page-range></nlm-citation>
</ref>
<ref id="B44">
<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 id="B45">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Oliver]]></surname>
<given-names><![CDATA[W. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Powers]]></surname>
<given-names><![CDATA[R. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Reevaluating the self-thinning boundary line for ponderosa pine (Pinus ponderosa) forests]]></article-title>
<source><![CDATA[Canadian Journal of Forest Research]]></source>
<year>2013</year>
<volume>43</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>963-71</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[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Duan]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A hierarchical bayesian model to predict self-thinning line for chinese fir in southern China]]></article-title>
<source><![CDATA[Plos One]]></source>
<year>2015</year>
<volume>10</volume>
<numero>10</numero>
<issue>10</issue>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
