Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa
Aim of study: To generate a mathematical system to distribute structural products of bamboo culms. Study area: Northeastern region of the state of Puebla, Mexico. Materials and methods: Eighty-seven culms of Bambusa oldhamii Munro, Guadua aculeata Rupr. and Guadua angustifolia Kunth were coll...
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria
2023-06-01
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| Series: | Forest Systems |
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| Online Access: | https://revistas.inia.es/index.php/fs/article/view/19641 |
| _version_ | 1797771210983997440 |
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| author | Casimiro ORDÓÑEZ-PRADO Juan C. TAMARIT-URIAS Adan NAVA-NAVA Melchor RODRÍGUEZ-ACOSTA Martha E. FUENTES-LÓPEZ |
| author_facet | Casimiro ORDÓÑEZ-PRADO Juan C. TAMARIT-URIAS Adan NAVA-NAVA Melchor RODRÍGUEZ-ACOSTA Martha E. FUENTES-LÓPEZ |
| author_sort | Casimiro ORDÓÑEZ-PRADO |
| collection | DOAJ |
| description |
Aim of study: To generate a mathematical system to distribute structural products of bamboo culms.
Study area: Northeastern region of the state of Puebla, Mexico.
Materials and methods: Eighty-seven culms of Bambusa oldhamii Munro, Guadua aculeata Rupr. and Guadua angustifolia Kunth were collected in Puebla, Mexico. Four taper functions were evaluated, the one with the best predictive capacity was fitted to model the diameter over and under wall together with a wall thickness model. The fitting strategy consisted of a system of additive equations using Weighted-Nonlinear Seemingly Unrelated Regression (WNSUR) procedure with autocorrelation correction, in combination with the Dummy Variable technique.
Main results: The Fang & Bailey case 1-a model was selected to describe the diameter over and under wall; the Cao and Papper model was used to model the wall thickness. The R2adj of the system fitted were 0.977, 0.944 and 0.918, and RMSE values 0.186 cm, 0.200 cm and 0.134 cm, for diameter over wall, diameter under wall, and wall thickness, respectively. G. angustifolia had the greatest taper and wall thickness, followed by G. aculeata. The highest proportion of primary product was presented by G. angustifolia. The system generated had parameters specific for each bamboo taxon.
Research highlights: The diameter profile of bamboo culms can be modeled by taper functions. A mathematical system for distribution by structural product type was developed consisting of: (1) a taper model for the diameter over wall and, (2) a function to estimate the commercial height.
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| first_indexed | 2024-03-12T21:34:13Z |
| format | Article |
| id | doaj.art-1dc1df4473a74929a61b936ebd8e73b1 |
| institution | Directory Open Access Journal |
| issn | 2171-9845 |
| language | English |
| last_indexed | 2024-03-12T21:34:13Z |
| publishDate | 2023-06-01 |
| publisher | Instituto Nacional de Investigación y Tecnología Agraria y Alimentaria |
| record_format | Article |
| series | Forest Systems |
| spelling | doaj.art-1dc1df4473a74929a61b936ebd8e73b12023-07-27T12:00:13ZengInstituto Nacional de Investigación y Tecnología Agraria y AlimentariaForest Systems2171-98452023-06-0132210.5424/fs/2023322-19641Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxaCasimiro ORDÓÑEZ-PRADO0Juan C. TAMARIT-URIAS1Adan NAVA-NAVA2Melchor RODRÍGUEZ-ACOSTA3Martha E. FUENTES-LÓPEZ4INIFAP, Centro de Investigación Regional Golfo Centro, Campo Experimental San Martinito. Ctra. Federal Mexico-Puebla km 56.5. 74100 Tlahuapan, Pue., MexicoINIFAP, Centro de Investigación Regional Golfo Centro, Campo Experimental San Martinito. Ctra. Federal Mexico-Puebla km 56.5. 74100 Tlahuapan, Pue., MexicoColegio de Postgraduados. Ctra. Mexico-Texcoco km 36.5. 56230 Texcoco, Mex., MexicoINIFAP, Centro de Investigación Regional-Golfo Centro, Campo Experimental Ixtacuaco. Ctra. Martínez de la Torre-Tlapacoyan km 4.5. 93655 Tlapacoyan, Ver., MexicoINIFAP, Centro de Investigación Regional Golfo Centro, Campo Experimental San Martinito. Ctra. Federal Mexico-Puebla km 56.5. 74100 Tlahuapan, Pue., Mexico Aim of study: To generate a mathematical system to distribute structural products of bamboo culms. Study area: Northeastern region of the state of Puebla, Mexico. Materials and methods: Eighty-seven culms of Bambusa oldhamii Munro, Guadua aculeata Rupr. and Guadua angustifolia Kunth were collected in Puebla, Mexico. Four taper functions were evaluated, the one with the best predictive capacity was fitted to model the diameter over and under wall together with a wall thickness model. The fitting strategy consisted of a system of additive equations using Weighted-Nonlinear Seemingly Unrelated Regression (WNSUR) procedure with autocorrelation correction, in combination with the Dummy Variable technique. Main results: The Fang & Bailey case 1-a model was selected to describe the diameter over and under wall; the Cao and Papper model was used to model the wall thickness. The R2adj of the system fitted were 0.977, 0.944 and 0.918, and RMSE values 0.186 cm, 0.200 cm and 0.134 cm, for diameter over wall, diameter under wall, and wall thickness, respectively. G. angustifolia had the greatest taper and wall thickness, followed by G. aculeata. The highest proportion of primary product was presented by G. angustifolia. The system generated had parameters specific for each bamboo taxon. Research highlights: The diameter profile of bamboo culms can be modeled by taper functions. A mathematical system for distribution by structural product type was developed consisting of: (1) a taper model for the diameter over wall and, (2) a function to estimate the commercial height. https://revistas.inia.es/index.php/fs/article/view/19641diameter profileprimary productround materialuse in constructionGuadua aculeataGuadua angustifolia |
| spellingShingle | Casimiro ORDÓÑEZ-PRADO Juan C. TAMARIT-URIAS Adan NAVA-NAVA Melchor RODRÍGUEZ-ACOSTA Martha E. FUENTES-LÓPEZ Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa Forest Systems diameter profile primary product round material use in construction Guadua aculeata Guadua angustifolia |
| title | Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| title_full | Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| title_fullStr | Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| title_full_unstemmed | Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| title_short | Mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| title_sort | mathematical system based on taper functions for distribution by structural product of culms in three giant bamboo taxa |
| topic | diameter profile primary product round material use in construction Guadua aculeata Guadua angustifolia |
| url | https://revistas.inia.es/index.php/fs/article/view/19641 |
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