scholarly journals Growth Patterns of birds, dinosaurs and reptiles: Are differences real or apparent?

2019 ◽  
Author(s):  
Norbert Brunner ◽  
Manfred Kühleitner ◽  
Werner-Georg Nowak ◽  
Katharina Renner-Martin ◽  
Klaus Scheicher
Keyword(s):  
Differential Equation ◽  
Growth Pattern ◽  
Broiler Chicken ◽  
Growth Models ◽  
Growth Patterns ◽  
Von Bertalanffy ◽  
Growth Data ◽  
Quantitative Studies ◽  
Best Fitting

AbstractSystematics of animals was done on their appearance or genetics. One can also ask about similarities or differences in the growth pattern. Quantitative studies of the growth of dinosaurs have made possible comparisons with modern animals, such as the discovery that dinosaurs grew in relation to their size faster than modern reptiles. However, these studies relied on only a few growth models. If these models are false, what about the conclusions? This paper fits growth data to a more comprehensive class of models, defined by the von Bertalanffy-Pütter differential equation. Applied to data about dinosaurs, reptiles and birds, the best fitting models confirmed that dinosaurs may have grown faster than alligators. However, compared to modern broiler chicken, this difference was small.

Comparison and estimation of the growth curve models of Hanwoo steer (Bos taurus coreanae)

2018 ◽  
Author(s):  
Hu-Rak Park ◽  
Seung-Hoon Eum ◽  
Seung-Hee Roh ◽  
Jakyeom Seo ◽  
Seong-Keun Cho ◽  
...  
Keyword(s):  
Body Weight ◽  
Logistic Model ◽  
Bos Taurus ◽  
Growth Models ◽  
Logistic Models ◽  
Regression Equations ◽  
Von Bertalanffy ◽  
Growth Data ◽  
Growth Ratio ◽  
Mean Square Errors

The present study was conducted to estimate and compare the three types of growth models in Hanwoo steer (Bos aurus coreanae). The Gompertz, Von Bertalanffy, and Logistic nonlinear models were used. A total of 2,239 Hanwoo steers (Bos taurus coreanae) from 6 months to 24 months old (2003 to 2014) and 8,916 growth data from the Hanwoo improvement Center were used to estimate the growth model which included three parameters. These parameters were A, mature body weight; b, growth ratio; and k, intrinsic growth rate. Regression equations using the Gompertz, Von Bertalanffy, and Logistic models were calculated as respectively. The mean square errors (MSEs) for each model were 1945.9, 1958.7, and 1935.0, respectively. The equation using the Logistic model showed the lowest value among three models. The estimated birth weights from the Gompertz, Von Bertalanffy, and Logistic models were 50.35 kg, 36.94 kg, and 74.13 kg, respectively. Furthermore, the estimated mature weights from the Gompertz, Von Bertalanffy, and Logistic models were 919.0 kg, 1043.3 kg, and 770.0 kg, respectively. In addition, the estimated age and body weight at inflection from the Gompertz, Von Bertalanffy, and Logistic models were 349.0 days and 338.1 kg, 317.9 days and 308.2 kg, and 397.8 days and 385.0 kg, respectively. Based on the results, we concluded that the regression equation using the Logistic model was the most appropriate among the growth models for measuring data. However, further studies would be needed in order to obtain more accurate parameters using a much wider period of data from birth to shipping age.

Age and growth estimates of the jumbo flying squid (Dosidicus gigas) off Peru

2019 ◽  
Vol 32 ◽  
pp. 7
Author(s):  
Carlos Goicochea-Vigo ◽  
Enrique Morales-Bojórquez ◽  
Viridiana Y. Zepeda-Benitez ◽  
José Ángel Hidalgo-de-la-Toba ◽  
Hugo Aguirre-Villaseñor ◽  
...  
Keyword(s):  
Growth Model ◽  
Growth Pattern ◽  
Growth Models ◽  
Information Criterion ◽  
Growth Patterns ◽  
Age And Growth ◽  
Dosidicus Gigas ◽  
Asymptotic Growth ◽  
Schnute Model ◽  
Gompertz Growth Model

Mantle length (ML) and age data were analyzed to describe the growth patterns of the flying jumbo squid, Dosidicus gigas, in Peruvian waters. Six non-asymptotic growth models and four asymptotic growth models were fitted. Length-at-age data for males and females were analysed separately to assess the growth pattern. Multi-model inference and Akaike's information criterion were used to identify the best fitting model. For females, the best candidate growth model was the Schnute model with L∞ = 106.96 cm ML (CI 101.23–110.27 cm ML, P < 0.05), age at growth inflection 244.71 days (CI 232.82–284.86 days, P < 0.05), and length at growth inflection 57.26 cm ML (CI 55.42–58.51 cm ML, P < 0.05). The growth pattern in males was best described by a Gompertz growth model with L∞ = 127.58 cm ML (CI 115.27–131.80 cm ML, P < 0.05), t0 = 21.8 (CI 20.06–22.41, P < 0.05), and k = 0.007 (CI 0.006–0.007, P < 0.05). These results contrast with the growth model previously reported for D. gigas in the region, where the growth pattern was identified as non-asymptotic.

scholarly journals Best fitting tumor growth models of the von Bertalanffy-PütterType

BMC Cancer ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Manfred Kühleitner ◽  
Norbert Brunner ◽  
Werner-Georg Nowak ◽  
Katharina Renner-Martin ◽  
Klaus Scheicher
Keyword(s):  
Tumor Growth ◽  
Growth Models ◽  
Von Bertalanffy ◽  
Tumor Growth Models ◽  
Best Fitting

scholarly journals Pola Pertumbuhan Siput Gonggong Strombus turturella, Röding, 1798 (Gastropoda: Strombidae) di Pulau Bangka, Bangka Belitung

2019 ◽  
Vol 22 (2) ◽  
pp. 118
Author(s):  
Okto Supratman ◽  
Indah Auliana ◽  
Mualimah Hudatwi ◽  
Eva Utami
Keyword(s):  
Growth Model ◽  
Growth Pattern ◽  
Growth Parameters ◽  
Growth Patterns ◽  
Anthropogenic Activity ◽  
First Year ◽  
Von Bertalanffy ◽  
Allometric Growth ◽  
A Value ◽  
One Year

Strombus turturella on Bangka Island is under pressure and threatens the effects of anthropogenic activity. This condition is necessary to carry out various efforts to manage the dog conch on an ongoing basis. Based on these problems, it is necessary to conduct research related to various parameters of the growth of the dog conch on Bangka Island. The purpose of the study was to determine the growth parameters of the dog conch which included growth patterns, estimation of growth model von bertalanffy and length-weight relationship. The research was carried out in several stages, namely: 1) Sampling in the field conducted in Teluk Kelabat waters, Ketawai Island and Anak Air Island, 2) Measurement of shell length and weight, and 3) Analysis of growth parameters using the FiSAT II application, then estimated von Bertalanffy's growth. The results of the frequency distribution of the size of the gonggong snail class in Teluk Kelabat were 47.85- 66.35 mm, on Ketawai Island 44.10-77.45 mm, while those on Anak Air Island were 44.10-62.65 mm. The results of Von Bertalanffy's growth model in the first year or age of one year growth accelerated with the length of the shell in Teluk Kelabat (44.46 mm), Ketawai Island (46.63 mm) and Pulau Anak Air (32, 80 mm). Then in the following year the growth slowed down to asymptotic length with around 11 years of age in T. Kelabat, 14 years in P. Ketawai and 15 years in P. Anak Air. The relationship between the length and weight of the dog conch in three locations on Bangka Island with a value of b <3 so that a negative allometric growth pattern can be determined. The negative allometric growth pattern shows an increase in the length of the snail bark faster than the weight gain. Siput gonggong (Strombus turturella) di Pulau Bangka mengalami tekanan dan ancaman dampak dari aktivitas antropogenik. Kondisi ini maka perlu dilakukan berbagai upaya pengelolaan siput gonggong secara berkelanjutan. Berdasarkan permasalahan tersebut maka perlu dilakukan penelitian berkaitan berbagai parameter pertumbuhan siput siput gonggong di Pulau Bangka.  Tujuan penelitian yaitu menentukan beberapa parameter pertumbuhan siput gonggong yang meliputi distribusi kelas ukuran, pendugaan model pertumbuhan von bertalanffy dan hubungan panjang berat. Penelitian dilakukan beberapa tahapan yaitu 1) Pengambilan sampel di lapangan yang dilakukan di Perairan Teluk Kelabat, Pulau Ketawai dan Pulau Anak Air, 2) Pengukuran panjang cangkang dan berat, dan 3) Analisis parameter pertumbuhan dengan menggunakan aplikasi FiSAT II, selanjutnya dihitung pendugaan pertumbuhan von Bertalanffy. Hasil distribusi frekuensi kelas ukuran siput gonggong di Teluk Kelabat yaitu 47.85 mm s.d 66.35 mm, di Pulau Ketawai 44.10 mm s.d 77.45 mm, sedangkan di Pulau Anak Air yaitu 44.10 mm s.d 62.65 mm. Hasil model pertumbuhan Von Bertalanffy pada tahun pertama atau umur satu tahun pertumbuhan mengalami percepatan dengan panjang cangkang di Teluk Kelabat (44,46 mm), Pulau Ketawai (46,63) dan Pulau Anak Air (32, 80) mm. Kemudian pada tahun selanjutnya pertumbuhan semakin melambat sampai mecapai panjang asimtotik dengan umur sekitar 11 tahun di T. Kelabat, 14 tahun di P. Ketawai dan 15 tahun di P. Anak Air. Hubungan panjang dan berat siput gonggong di tiga lokasi di Pulau Bangka dengan nilai b < 3 sehingga dapat ditentukan pola pertumbuhan alometrik negatif. Pola pertumbuhan alometrik negatif  menunjukan pertambahan panjang siput gonggong lebih cepat dibandingkan dengan pertambahan berat.

scholarly journals A New Flexible Sigmoidal Growth Model

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 204 ◽  
Author(s):  
Liying Cao ◽  
Pei-Jian Shi ◽  
Lin Li ◽  
Guifen Chen
Keyword(s):  
Growth Rate ◽  
Growth Model ◽  
Growth Models ◽  
Differential Evolution Algorithm ◽  
Growth Patterns ◽  
Growth Data ◽  
Ecological Processes ◽  
Maximum Biomass ◽  
Sigmoidal Growth ◽  
Growth Of Animals

Biological growth is driven by numerous functions, such as hormones and mineral nutrients, and is also involved in various ecological processes. Therefore, it is necessary to accurately capture the growth trajectory of various species in ecosystems. A new sigmoidal growth (NSG) model is presented here for describing the growth of animals and plants when the assumption is that the growth rate curve is asymmetric. The NSG model was compared with four classic sigmoidal growth models, including the logistic equation, Richards, Gompertz, and ontogenetic growth models. Results indicated that all models fit well with the empirical growth data of 12 species, except the ontogenetic growth model, which only captures the growth of animals. The estimated maximum asymptotic biomass wmax of plants from the ontogenetic growth model was not reliable. The experiment result shows that the NSG model can more precisely estimate the value and time of reaching maximum biomass when growth rate becomes close to zero near the end of growth. The NSG model contains three other parameters besides the value and time of reaching maximum biomass, and thereby, it can be difficult to assign initial values for parameterization using local optimization methods (e.g., using Gauss–Newton or Levenberg–Marquardt methods). We demonstrate the use of a differential evolution algorithm for resolving this issue efficiently. As such, the NSG model can be applied to describing the growth patterns of a variety of species and estimating the value and time of achieving maximum biomass simultaneously.

scholarly journals The influence of sample distribution on growth model output for a highly-exploited marine fish, the Gulf Corvina (Cynoscion othonopterus)

PeerJ ◽  
2018 ◽  
Vol 6 ◽  
pp. e5582 ◽  
Author(s):  
Derek G. Bolser ◽  
Arnaud Grüss ◽  
Mark A. Lopez ◽  
Erin M. Reed ◽  
Ismael Mascareñas-Osorio ◽  
...  
Keyword(s):  
Growth Model ◽  
Marine Fish ◽  
Growth Models ◽  
Growth Patterns ◽  
Von Bertalanffy ◽  
Model Output ◽  
Age Classes ◽  
Equal Distribution ◽  
Sample Distribution ◽  
Richards Model

Estimating the growth of fishes is critical to understanding their life history and conducting fisheries assessments. It is imperative to sufficiently sample each size and age class of fishes to construct models that accurately reflect biological growth patterns, but this may be a challenging endeavor for highly-exploited species in which older fish are rare. Here, we use the Gulf Corvina (Cynoscion othonopterus), a vulnerable marine fish that has been persistently overfished for two decades, as a model species to compare the performance of several growth models. We fit the von Bertalanffy, Gompertz, logistic, Schnute, and Schnute–Richards growth models to length-at-age data by nonlinear least squares regression and used simple indicators to reveal biased data and ensure our results were biologically feasible. We then explored the consequences of selecting a biased growth model with a per-recruit model that estimated female spawning-stock-biomass-per-recruit and yield-per-recruit. Based on statistics alone, we found that the Schnute–Richards model described our data best. However, it was evident that our data were biased by a bimodal distribution of samples and underrepresentation of large, old individuals, and we found the Schnute–Richards model output to be biologically implausible. By simulating an equal distribution of samples across all age classes, we found that sample distribution distinctly influenced model output for all growth models tested. Consequently, we determined that the growth pattern of the Gulf Corvina was best described by the von Bertalanffy growth model, which was the most robust to biased data, comparable across studies, and statistically comparable to the Schnute–Richards model. Growth model selection had important consequences for assessment, as the per-recruit model employing the Schnute–Richards model fit to raw data predicted the stock to be in a much healthier state than per-recruit models employing other growth models. Our results serve as a reminder of the importance of complete sampling of all size and age classes when possible and transparent identification of biased data when complete sampling is not possible.

scholarly journals Age, Growth and Otolith Microstructure of the Spotted Lanternfish Myctophum punctatum Rafinesque 1810

2021 ◽  
Vol 9 (8) ◽  
pp. 801
Author(s):  
Francesco Longo ◽  
Danilo Malara ◽  
Maria Giulia Stipa ◽  
Pierpaolo Consoli ◽  
Teresa Romeo ◽  
...  
Keyword(s):  
Growth Models ◽  
Central Zone ◽  
Logistic Models ◽  
Gompertz Model ◽  
Growth Patterns ◽  
Age And Growth ◽  
Otolith Microstructure ◽  
Central Mediterranean ◽  
External Zone ◽  
Best Fitting

This study investigated, for the first time, the age and growth of the spotted lanternfish Myctophum punctatum through an analysis of otolith microstructure. A total of 377 individuals were collected from the Strait of Messina (central Mediterranean Sea), ranging between 20.3 and 73.7 mm of standard length. Their length–weight relationship was estimated, and these outputs indicated an isometric growth, for all specimens and when males and females were analysed separately. The sagittal otoliths were removed from 185 fish, although the microincrement readings were considered valid for only 173 otoliths. Microincrement counts ranged from 32 to 48 (average = 37.6) in the otolith central zone, 30 to 56 (average = 44.3) in the middle zone, and 36 to 384 (average = 165.5) in the external zone. Overall, total microincrements ranged between 106 and 469. Different growth models (Gompertz, von Bertalanffy and logistic models) were considered, to understand which one fit best in describing the growth patterns in M. punctatum. The Gompertz model was then selected as the best-fitting model and its parameters for all individuals were L∞ = 74.79, k = 0.0084 and I = 139.60.

scholarly journals Multiphasic growth models for cattle

2011 ◽  
Vol 50 (No. 8) ◽  
pp. 347-354 ◽  
Author(s):  
H. Nešetřilová
Keyword(s):  
Growth Models ◽  
Gompertz Model ◽  
Logistic Function ◽  
Complex Nature ◽  
Model Parameters ◽  
Growth Data ◽  
Unknown Parameters ◽  
Residual Variability ◽  
Low Degree ◽  
Best Fitting

There are several ways of generalizing classical growth models to describe the complex nature of animal growth. One possibility is to construct a model based on a sum of several classical growth functions. In this paper, such multiphasic growth models for breeding bulls of the Czech Pied cattle based on the sum of two logistic functions are studied. The logistic function was chosen as a base for the models due to the relatively low degree of nonlinearity for the growth data. The paper describes three steps of constructing such a multiphasic growth model: in the first step a model with four unknown parameters is considered, in the second step the number of model parameters which are to be estimated is increased to five and in the third step a general model with six parameters is used. In each step, statistical properties of the considered model are checked. The residual variability of the best fitting model is on average approx. 8 times lower than the residual variability of classical Gompertz model which is often used by breeders to model cattle growth. &nbsp;

scholarly journals Production performance of cows raised with different post-weaning growth patterns

2021 ◽  
Author(s):  
Harvey C Freetly ◽  
Robert A Cushman ◽  
Gary L Bennett
Keyword(s):  
Growth Pattern ◽  
Bos Taurus ◽  
Life Time ◽  
Growth Patterns ◽  
Production Performance ◽  
Genetic Population ◽  
Breed Type ◽  
Genetic Types ◽  
Period 2 ◽  
Step Growth

Abstract The period of heifer development is a relatively small fraction of a cow’s life; however, her pattern of growth may have permanent effects on her productivity as a cow. We hypothesized that altering the growth pattern during the peri-pubertal period would increase life-time productivity across genetic types of Bos taurus cows. The objective was to determine the stayability, calf production, and weight of calf weaned across six calf crops. Heifers (n = 685) were placed on one of two developmental programs at 256 ± 1 d of age. Control heifers received a diet that provided 228 kcal ME·(BW, kg) -0.75 daily, and Stair-Step heifers were allocated 157 kcal ME·(BW, kg) -0.75 daily for 84 or 85 d, and then the daily allocation was increased to 277 kcal ME·(BW, kg) -0.75. Stair-Step heifers (0.33 ± 0.02 kg/d) had a lower ADG than Control heifers (0.78 ± 0.02 kg/d; P &lt; 0.001) during Period 1, and Stair-Step heifers (0.93 ± 0.03 kg/d) had a greater ADG than Controls (0.70 ± 0.03 kg/d; P &lt; 0.001) during Period 2. There were no treatment (P = 0.28) or breed type differences (P = 0.42) for the proportion of cows weaning a calf; however, the proportion of cows weaning a calf decreased with cow age (P &lt; 0.001). Calves from Stair-Step dams had heavier weaning weights (193 ± 1 kg) compared to Control calves (191 ± 1 kg; P = 0.007). There was not a treatment (P = 0.25) or breed type differences in cumulative BW weaned (P = 0.59). A diverse genetic population of cattle within Bos taurus was tested and responses in calf production did not differ between Stair-Step growth pattern and a more constant non-obese growth pattern.

scholarly journals Modelling growth curves of the normal infant’s mandible: 3D measurements using computed tomography

2021 ◽  
Author(s):  
Jan Aart M. Schipper ◽  
Manouk J. S. van Lieshout ◽  
Stefan Böhringer ◽  
Bonnie L. Padwa ◽  
Simon G. F. Robben ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Growth Models ◽  
Normal Growth ◽  
Growth Patterns ◽  
Ct Scans ◽  
Mandibular Ramus ◽  
Linear Measurements ◽  
Mandibular Growth ◽  
Gonial Angle ◽  
Mandibular Body

Abstract Objectives Data on normal mandibular development in the infant is lacking though essential to understand normal growth patterns and to discriminate abnormal growth. The aim of this study was to provide normal linear measurements of the mandible using computed tomography performed in infants from 0 to 2 years of age. Material and methods 3D voxel software was used to calculate mandibular body length, mandibular ramus length, bicondylar width, bigonial width and the gonial angle. Intra- and inter-rater reliability was assessed for these measurements. They were found to be sufficient for all distances; intra-class correlation coefficients were all above 0.9. Regression analysis for growth modelling was performed. Results In this multi-centre retrospective study, 109 CT scans were found eligible that were performed for various reasons (e.g. trauma, craniosynostosis, craniofacial abscesses). Craniosynostosis patients had larger mandibular measurements compared to non-craniosynostosis patients and were therefore excluded. Fifty-one CT scans were analysed. Conclusions Analysis showed that the mandible increases more in size vertically (the mandibular ramus) than horizontally (the mandibular body). Most of the mandibular growth occurs in the first 6 months. Clinical relevance These growth models provide insight into normal mandibular development in the first 2 years of life. This reference data facilitates discrimination between normal and abnormal mandibular growth.

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