weibull distribution  (Boekel Scientific)

Journal: Scientific Reports

Article Title: Use of cover data to model species abundance distributions through continuous probability functions

doi: 10.1038/s41598-025-94587-w

Figure Lengend Snippet: Model fit evaluation for plant species abundance distributions (SADs) along an elevational gradient in the Alborz Mountains (Iran). (a) Log-transformed χ 2 -test values for different parametric models (exponential, gamma, lognormal, Pareto, and Weibull), representing the goodness-of-fit between observed species richness in each cover class and expected values from the models. Lower Chi² values indicates a better fit. (b) ΔAICc values for the same five models, where lower values indicate a better fit. Three data points from the exponential model were removed for clarity as they had ΔAICc values below − 100.

Article Snippet: Fig. 3 Changes of Weibull parameters for vascular plant species abundance distributions (SADs) along a transect in the Alborz Mountains (Iran): (a) relationship between φ (shape) and elevation; (b) relationship between λ (scale) and elevation.

Techniques: Transformation Assay

Journal: Scientific Reports

Article Title: Use of cover data to model species abundance distributions through continuous probability functions

doi: 10.1038/s41598-025-94587-w

Figure Lengend Snippet: Number of times each species abundance distribution (SAD) model was selected among the equally best supported models (AICc ≤ 2) for the species abundance distributions of vascular plants along an elevational gradient in the Alborz Mountains (Iran). Values of mean species richness and total vegetation cover are also shown.

Article Snippet: Fig. 3 Changes of Weibull parameters for vascular plant species abundance distributions (SADs) along a transect in the Alborz Mountains (Iran): (a) relationship between φ (shape) and elevation; (b) relationship between λ (scale) and elevation.

Techniques:

Journal: Scientific Reports

Article Title: Use of cover data to model species abundance distributions through continuous probability functions

doi: 10.1038/s41598-025-94587-w

Figure Lengend Snippet: Changes of Weibull parameters for vascular plant species abundance distributions (SADs) along a transect in the Alborz Mountains (Iran): (a) relationship between φ (shape) and elevation; (b) relationship between λ (scale) and elevation. Dashed lines represent the loess smoother. Grey areas show the standard error of the smoother. Dot size is proportional to the weighted regression by the inverse of the standard errors of the estimations.

Article Snippet: Fig. 3 Changes of Weibull parameters for vascular plant species abundance distributions (SADs) along a transect in the Alborz Mountains (Iran): (a) relationship between φ (shape) and elevation; (b) relationship between λ (scale) and elevation.

Techniques:

Journal: PeerJ

Article Title: Effect of thermal cycling on the mechanical properties of conventional, milled, and 3D-printed base resin materials: a comparative in vitro study

doi: 10.7717/peerj.19141

Figure Lengend Snippet: The Weibull modulus (m) was the upward gradient of the line. The characteristic strength (σ 0 ) was the strength at a failure probability of approximately 63.2%.

Article Snippet: Additionally, a two-parameter Weibull cumulative distribution was conducted on the flexural strength and impact strength (Origin(Pro), Version 2024; OriginLab Corporation, Northampton, MA, USA.) to calculate the Weibull modulus and Scale parameter.

Techniques:

Journal: PeerJ

Article Title: Effect of thermal cycling on the mechanical properties of conventional, milled, and 3D-printed base resin materials: a comparative in vitro study

doi: 10.7717/peerj.19141

Figure Lengend Snippet: The Weibull modulus (m) was the upward gradient of the line. The characteristic strength (σ 0 ) was the strength at a failure probability of approximately 63.2%.

Article Snippet: Additionally, a two-parameter Weibull cumulative distribution was conducted on the flexural strength and impact strength (Origin(Pro), Version 2024; OriginLab Corporation, Northampton, MA, USA.) to calculate the Weibull modulus and Scale parameter.

Techniques: