Modeling the Joint Distribution of Tree Diameters and Heights by Bivariate Generalized Beta Distribution

By Fasheng Li, Lianjun Zhang, C. J. Davis. Forestry sciences, 2002

50 citations recorded by the source corpus.

A bivariate generalized beta distribution (GBD-2) is fit to the joint frequency distribution of tree diameters and heights of 43 Douglas-fir (Pseudotsuga menziesii var. glauca [Beissn.] Franco) plots in Idaho. The model fitting and performance are compared with the Johnson's SBB distribution using goodness-of-fit χ2 tests for the marginal distributions of diameters and heights, a bivariate goodness-of-fit test for the joint distribution of the two variables, and model predictions of tree heights and volumes. We found that the GBD-2 is more flexible and successful than the Johnson's SBB in describing both marginal and joint distributions of tree diameters and heights. On average, the relative bias (%) from the GBD-2 is three times smaller than that from the Johnson's SBB across the 43 plots when the models are used in tree volume prediction. FOR. SCI. 48(1):47–58.

Subfields: Environmental Engineering, Global and Planetary Change, Nature and Landscape Conservation

View Paper: https://www.semanticscholar.org/paper/d3d32d1ecd544e7f577efc9afa25b02c4fbc3721

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Environmental Engineering

1. Keith Rennolls
2. T. Pukkala
3. Mingliang Wang
4. Rafal Podlaski

In Global and Planetary Change

1. Keith Rennolls
2. T. Pukkala
3. A. Trasobares
4. M. Palahí
5. Mingliang Wang
6. Rafal Podlaski
7. E. Lähde
8. O. Laiho

In Nature and Landscape Conservation

1. Keith Rennolls
2. Elena Peribáñez Blasco
3. T. Pukkala
4. Thomas A. Trikalinos
5. A. Trasobares
6. M. Palahí
7. Mingliang Wang
8. Rafal Podlaski

Citations in the corpus

• Tree diameter distribution modelling: introducing the logitlogistic distribution (2005, methodology): “Mudholkar and Srivastava (1993) termed this model the “exponentiated Weibull”.”
• Constructions for a bivariate beta distribution (2014, background): “ity in climate science (Nadarajah, 2007), the proportions of diseased second premolars and molars in dentistry (Bibby and Vˆth, 2011), tree diameter and height in forestry (Ha ey and Schreuder, 1977; Li et al., 2002; Wang and Rennolls, 2007), soil strength parameters (‘cohesion’ and ‘coecient of fri”
• Comparison of beta, Johnson’s SB, Weibull and truncated Weibull functions for modeling the diameter distribution of forest stands in Catalonia (north-east of Spain) (2007, result): “For comparison, the generalized beta distribution was also fitted in the same way as in Li et al. (2002), but with the same assumptions as done by Li et al. (2002) the generalized beta distribution was equal to Eq.”