Towards modeling growth of apricot fruit: finding a proper growth model

Jannatizadeh, Abbasali; Rezaei, Mehdi; Rohani, Abbas; Lawson, Shaneka S.; Fatahi, R.

doi:10.1007/s13580-022-00475-x

Cited by 6 publications

(5 citation statements)

References 34 publications

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“…2.6. Growth Curve, Increment, and Biological Rotation Age Four continuous growth formulas (i.e., Verhulst-Pearl (Equation ( 13)) [22][23][24][25], Gompertz (Equation ( 14)) [26][27][28][29][30][31], von Bertalanffy (Equation ( 15)) [32][33][34], and Chapman-Richards (Equation ( 16)) [35,36]) were employed in non-linear regression models to fit the growth curve observed data. The observed data are the age-related dimensions (N), including diameter, basal area, biomass, volume, and price, while the annual tree ring count number represents the tree age.…”

Section: Price and Dimension Inter-correlationmentioning

confidence: 99%

“…The growth curve is the graphical appearance of the size (N) vs. age (t) plots and their curve fitting. Verhulst-Pearl [22][23][24][25], Gompertz [26][27][28][29][30][31], von Bertalanffy [32][33][34], and Chapman-Richards [35,36] logistic family formulas are widely known to draw an organism's (including a tree's) growth curve. The Verhulst-Pearl logistic curve [66], the most frequently employed growth curve model in the literature, has a fixed inflection point in the middle of the upper and lower asymptotes [130].…”

Section: Growth Curvementioning

confidence: 99%

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Biological Rotation Age of Community Teak (Tectona grandis) Plantation Based on the Volume, Biomass, and Price Growth Curve Determined through the Analysis of Its Tree Ring Digitization

Bahtiar,

Kim,

Iswanto

2023

Forests

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Teak (Tectona grandis) is a deciduous tree producing a popular, expensive, fancy timber with versatile utilization. The teak population and its habitats in the natural forest have been decreasing consistently; thus, the IUCN Red List classifies it as an endangered species. Teak tree logging from its native natural forest is banned, and commercial teak timber can only be harvested from the plantation. People plant teak on their private lands or in the community forest to meet the increasing demand. This study analyzed the annual tree rings of a teak disk taken from the community plantation and aimed to determine its biological rotation age. Tree ring interpretation provides the increment and growth that are mandatory fundamental components of knowledge in sustainable forest management. It may also decipher the tree’s biography, which contains information about past climate and future predictions responding to climate change. All of the disk’s annual tree rings were digitized, transformed, and then curve-fitted using an elliptical polar form of non-linear regression. The best-fitted curve estimation of every annual tree ring was employed to determine their age-related diameter and basal area, and then allometric equations estimated the above-ground biomass and clear-bole volume. The continuous and discrete formula fit the growth curve well, and this study determined that Chapman-Richards is the best fit among others. The growth curve, current annual increment (CAI), and mean annual increment (MAI) were graphed based on the clear-bole volume, above-ground biomass, and log timber price. The CAI and MAI intersections result in 28, 30, and 86 years of optimum harvesting periods when the growth calculation is based on volume, above-ground biomass, and log timber price, respectively. These results identified that the teak plantation is a sustainable and highly valuable asset to inherit with long-term positive benefits. The sociocultural provision of teak plants as an inheritance gift for the next generation has proven to be economically and ecologically beneficial.

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Section: Price and Dimension Inter-correlationmentioning

confidence: 99%

Section: Growth Curvementioning

confidence: 99%

Biological Rotation Age of Community Teak (Tectona grandis) Plantation Based on the Volume, Biomass, and Price Growth Curve Determined through the Analysis of Its Tree Ring Digitization

Bahtiar,

Kim,

Iswanto

2023

Forests

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“…The use of mathematical models enables accurate predictions and saves time by testing the best model with a high accuracy and low error. In most studies, nonlinear regression models are employed to examine UFA kinetics during ruminal BH. − The parameters in nonlinear models often possess a biologically meaningful interpretation, based on the units and definitions associated with them. − This interoperability renders nonlinear models valuable for gaining insights into biological processes. It should be noted that nonlinear regression models also encounter limitations.…”

Section: Introductionmentioning

confidence: 99%

“… 18 − 23 The parameters in nonlinear models often possess a biologically meaningful interpretation, based on the units and definitions associated with them. 24 − 26 This interoperability renders nonlinear models valuable for gaining insights into biological processes. It should be noted that nonlinear regression models also encounter limitations.…”

Section: Introductionmentioning

confidence: 99%

Determining Optimal Nonlinear Regression Models for Studying the Kinetics of Fatty Acid Ruminal Biohydrogenation In Vitro

Zarnegar,

Ebrahimi,

Rohani

et al. 2023

ACS Omega

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The accurate estimation of in vitro ruminal biohydrogenation (BH) kinetics of fatty acids (FA) allows for a more accurate understanding of their dynamics and develop targeted strategies to enhance desirable FA bypass. This study comprises a comprehensive evaluation of 33 nonlinear regression models to determine the most suitable model for accurately estimating the in vitro BH kinetics of individual FA. The data set utilized in the present research originates from a recent investigation on the effects of micronization and vitamin E on the in vitro ruminal BH of rapeseed. For the nonlinear regression analysis, data comprising FA concentrations (expressed as g FA/100 g FA) at the conclusion of 2, 4, 8, 12, 24, and 48 h incubation periods were employed. The evaluation of nonlinear regression models focused on identifying the ideal model based on criteria including the highest R 2 value, the lowest RMSE value, and statistically significant coefficients. The results pinpoint the Gompertz model as an effective choice for estimating the in vitro ruminal BH kinetics of upward-trending fatty acids, including intermediate unsaturated fatty acids and saturated end FA. Additionally, the first-order kinetic model of Ørskov and McDonald emerges as the preferred model for investigating the BH kinetics of downward-trending fatty acids, including oleic acid, linoleic acid, and alpha-linolenic acid. In summary, this rigorous evaluation led to the identification of the most appropriate model, one that not only exhibited an exceptional fit to the data but also provided profound insights into the intricate relationships between predictors and the dynamic behavior of FA. The established nonlinear regression models will serve as invaluable tools for future research investigating FA biohydrogenation kinetics.

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“…However, they can often provide a better fit to the data and more accurate predictions than linear models when the relationship between the variables is not linear [19]. The parameters in nonlinear models often have a biologically meaningful interpretation, based on the units and definitions associated with them [19][20][21]. This interoperability makes nonlinear models useful for gaining insights into biological processes such as cold stress.…”

Section: Introductionmentioning

confidence: 99%

Estimating Freezing Injury on Olive Trees: A Comparative Study of Computing Models Based on Electrolyte Leakage and Tetrazolium Tests

Rezaei

Rohani

2023

Agriculture

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Winter frost injury is a major limiting factor for olive cultivation in temperate regions. The response of olive shoots to freezing stress can be used for selecting genotypes resistant to freezing. The electrolyte leakage (EL) and tetrazolium tests (TZ) are commonly used to evaluate dead tissues in cold stress studies. The temperature–response curve of dead tissues to lethal temperature (LT) is measured with models to calculate LT50 and LT90. In this study, we evaluated the accuracy and efficiency of eighteen nonlinear regression models (NLRs) in calculating LT50 and LT90 of freezing stress in different olive cultivars at various stages of dormancy. After evaluating the prediction performance of NLR models, it was found that only eight models were suitable for the purpose of this research out of the eighteen models examined. The 2p-logistic and Gompertz models were selected for modeling EL and TZ, respectively. Our research findings indicate that the Roughani, Kawi, and Zard varieties of olive trees exhibit the best performance under artificial temperature-controlled conditions. Our findings provide valuable insights into selecting frost-resistant cultivars and designing effective strategies for cold acclimation in olive cultivation.

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Towards modeling growth of apricot fruit: finding a proper growth model

Cited by 6 publications

References 34 publications

Biological Rotation Age of Community Teak (Tectona grandis) Plantation Based on the Volume, Biomass, and Price Growth Curve Determined through the Analysis of Its Tree Ring Digitization

Biological Rotation Age of Community Teak (Tectona grandis) Plantation Based on the Volume, Biomass, and Price Growth Curve Determined through the Analysis of Its Tree Ring Digitization

Determining Optimal Nonlinear Regression Models for Studying the Kinetics of Fatty Acid Ruminal Biohydrogenation In Vitro

Estimating Freezing Injury on Olive Trees: A Comparative Study of Computing Models Based on Electrolyte Leakage and Tetrazolium Tests

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