A stage-explicit expression of the von Bertalanffy growth model for understanding age at first reproduction of Great Lakes fishes

2002 ◽  
Vol 59 (2) ◽  
pp. 250-261 ◽  
Author(s):  
Ji X He ◽  
Donald J Stewart

An initial annual growth rate of body length and its regular decrease with increasing age has general linkages with age at first reproduction (tR). We clarify their combinations and develop predictive functions. We use a complete Ford–Walford plot with yearling size (L1) on the y axis and show a slope transition between the relative yearling growth rate (ρy) and the Ford–Walford slope (ρ). The three stage-specific variables define a complete body-length trajectory over ages, including all von Bertalanffy growth parameters and the Ford–Walford intercept (Lint). The difference between asymptotic length (Linf) and yearling length is growth potential after the first annulus. Yearling growth is a transition period, so growth potential can be adjusted as ρLinf or Linf – Lint. Changes in the three life-stage variables have contrasting effects on growth potential and von Bertalanffy growth parameters, so they have contrasting relations with tR. For most invertebrate-eating fishes in the Laurentian Great Lakes, dominant changes in growth trajectories were reflected in ρ, so tR was predicted by the von Bertalanffy growth coefficient, K. For walleye (Stizostedion vitreum) populations around the Great Lakes, dominant changes in growth trajectories were from yearling size or yearling growth, so tR was predicted using Lint. Our results have clear implications for understanding fish population dynamics.

1984 ◽  
Vol 41 (6) ◽  
pp. 989-1000 ◽  
Author(s):  
Derek A. Roff

Empirical studies have shown that in teleosts there is a significant correlation between the life history parameters, age at first reproduction, natural mortality, and growth rate. In this paper 1 hypothesize that these correlations are the result of evolutionary adjustments due to the trade-off between reproduction, growth, and survival. A simple and reasonable assumption is that the costs of reproduction are sufficient to cause the ltmt function to decrease. A simple expression relating the age at first reproduction is derived from this assumption. This formula accounts for a statistically significant portion (60.6%) of the variation in age at first reproduction in 30 stocks of fish. To extend the model to predict the distribution of life history parameters across all teleosts, an explicit cost function is incorporated. The model is analyzed with respect to two fitness measures, the expected lifetime fecundity and malthusian parameter, r. In the first case it is shown that the optimal age at maturity, T, depends only on the natural mortality rate (M) and the growth rate (k). In the second case, T is a function of k and the logarithm of a parameter, In C; the latter is a product of egg and larval survival, maximum body length (Lx), and the proportionality coefficient of the fecundity/length function. Difficulties of measuring egg and larval survival make the testing of the latter case difficult for particular species. However, this method provides a simple formula for the computation of r; this is shown generally to be approximately zero, thereby adding strength to the assumptions of the first analysis. The distribution patterns of T on k and M on k are predicted and compared with the observed pattern. In general, the predictions are validated: however, certain combinations of k and ln C are shown to occur very infrequently. The prediction of such "empty" regions of the parameter space remains a challenge for future development of life history theory.


2021 ◽  
Vol 8 ◽  
Author(s):  
Elena Prado ◽  
Javier Cristobo ◽  
Augusto Rodríguez-Basalo ◽  
Pilar Ríos ◽  
Cristina Rodríguez-Cabello ◽  
...  

We describe the first application of a non-invasive and novel approach to estimate the growth rate of Asconema setubalense (Porifera, Hexactinellida) through the use of 3D photogrammetric methodology. Structure-from-Motion techniques (SfM) were applied to videos acquired with the Politolana ROTV in the El Cachucho Marine Protected Area (MPA) (Cantabrian Sea) on three different dates (2014, 2017, and 2019) over six years. With these data, a multi-temporal study was conducted within the framework of MPA monitoring. A complete 3D reconstruction of the deep-sea floor was achieved with Pix4D Mapper Pro software for each date. Having 3D point clouds of the study area enabled a series of measurements that were impossible to obtain in 2D images. In 3D space, the sizes (height, diameter, cup-perimeter, and cup-surface area) of several A. setubalense specimens were measured each year. The annual growth rates recorded ranged from zero (“no growth”) for a large size specimen, to an average of 2.2 cm year–1 in cup-diameter, and 2.5 cm year–1 in height for developing specimens. Von Bertalanffy growth parameters were estimated. Taking into account the size indicators used in this study and based on the von Bertalanffy growth model, this sponge reaches 95% maximum size at 98 years of age. During the MPA monitoring program, a high number of specimens disappeared. This raised suspicions of a phenomenon affecting the survival of this species in the area. This type of image-based methodology does not cause damage or alterations to benthic communities and should be employed in vulnerable ecosystem studies and MPA monitoring.


2017 ◽  
Vol 68 (1) ◽  
pp. 57-70
Author(s):  
Eszter Sugár ◽  
Zoltán Berzsenyi ◽  
Péter Bónis ◽  
Tamás Árendás

Summary Growth analysis helps explain the differences in yield and growth potential between cultivars in response to management practices and environmental conditions. The aim of the research was: (i) to investigate the effect of nitrogen fertilization on the growth and growth parameters of different wheat (Triticum aestivum L.) cultivars and (ii) to study the relationship between yield and growth parameters at the individual plant and plant stand level. In the two-factorial, split-plot experiment, the main plot was the nitrogen (N) treatment and the sub-plot was the cultivar. In response to N fertilization, the values of growth rate parameters increased up to the N160 treatment. The mean values of crop growth rate (g m-2 day-1) in the treatments were as follows: N0: 10.4, N80: 15.4, N160: 17.2 and N240: 16.3. The leaf area index, leaf area duration and especially the duration of the flag-leaf gave a good reflection of the effect of N fertilization. Multiple regression analysis demonstrated the significant effect of growth rates, size and duration of leaf area, biomass distribution and yield components on the yield. The results showed that understanding the growth of plants is important for optimizing management decisions.


2019 ◽  
pp. 23-31 ◽  
Author(s):  
George N. Hotos

Growth and mortality of L. aurata (Risso,1810) were estimated in the lagoon of Klisova-Messolonghi (W. Greece), based on age estimation from scale readings of a total of 1048 individuals, ranging between 10 and 59 cm in total length (TL). Age determination revealed nine age classes (0+ to 8+). Maximum age was found to be 8 years for females and 6 years for males respectively. The growth pattern of L. aurata exhibited allometry (b=3.26). The species seems to achieve 34% of its growth during the first year; thereafter the annual growth rate drops. Both sexes presented similar von Bertalanffy growth curves. The von Bertalanffy growth function for the estimated total length-at-age was found Lt = 70.78 [1 - e -0.129(t+1.345)] for the combined sexes. Otolith weight, length and width were tested and they were found to be very good predictors for age. Between the present L. aurata growth parameters and those of other Mediterranean, Caspian and Atlantic Sea for the same species, there were found significant differences in its growth parameters. The total (Z) and natural (M) mortality rate was found to be 0.54 years-1 and 0.33 years-1 respectively. The estimated exploitation rate was found to be E=0.395 which suggests that the existing fishing pressure on L. aurata is rather moderate in the investigated region.


1988 ◽  
Vol 45 (6) ◽  
pp. 936-942 ◽  
Author(s):  
R. I. C. C. Francis

The two most common ways of estimating fish growth use age–length data and tagging data. It is shown that growth parameters estimated from these two types of data have different meanings and thus are not directly comparable. In particular, the von Bertalanffy parameter l∞ means asymptotic mean length at age for age–length data, and maximum length for tagging data, when estimated by conventional methods. New parameterizations are given for the von Bertalanffy equation which avoid this ambiguity and better represent the growth information in the two types of data. The comparison between growth estimates from these data sets is shown to be equivalent to comparing the mean growth rate of fish of a given age with that of fish of length equal to the mean length at that age. How much these growth rates may differ in real populations remains unresolved: estimates for two species of fish produced markedly different results, neither of which could be reproduced using growth models. Existing growth models are shown to be inadequate to answer this question.


2007 ◽  
Vol 5 (4) ◽  
pp. 485-490 ◽  
Author(s):  
Giovana Bervian ◽  
Nelson F. Fontoura

The growth of Atherinella brasiliensis (Quoy & Gaimard, 1824) was studied through monthly samples taken at Tramandaí Lagoon, Imbé County, Rio Grande do Sul, Brazil. Animals were captured using a beach seine net. Length-weight relationships and age- growth curves for males and females were adjusted. The growth parameters of the von Bertalanffy growth formulae are Linf=16.0 and k=0.883 for males and Linf=17.0 and k=0.825 for females. First reproduction occurred one year after recruitment. Once reaching maturity, adults of A. brasiliensis reproduced once more in the next spring with two-year-olds and disappeared soon after from size frequency distributions. A few captured animals showed a size compatible with an age of three years.


2014 ◽  
Vol 6 (3) ◽  
pp. 184-187
Author(s):  
Van Thiep Vo ◽  
Thi Yen Tran ◽  
Thi Huong Binh Nguyen ◽  
Ngoc Tam Huynh

The research was conducted from October 2013 to March 2014 by using the method applied in the current ichthyology study by GV Nikolski, Pravdin IF, OF Xakun, NA Buskaia and Mai Dinh Yen. Fish samples were collected in the coastal area of Quang Binh province. The study results showed that Gerres filamentosus (Cuvier, 1829) had the length romf 52mm to 230mm, corresponding to the weight from 4g to 185g. The age structure of the fish was simple that consisted of four age groups (0+ - 3+), the annual growth rate was relatively fast, the growth equation following Von Bertalanffy was as: Lt = 234.4 x [1- e-0.35 (t + 0.996)], Wt = 373.4 x [1-e-0.0244 (t + 0.2388)] 3.0676. Nghiên cứu được thực hiện từ tháng 10 năm 2013 đến tháng 3 năm 2014 bằng những phương pháp đang được áp dụng trong các nghiên cứu ngư loại hiện nay của G.V. Nikolski, I. F. Pravdin, O. F. Xakun, N. A. Buskaia và Mai Đình Yên, mẫu cá được thu tại vùng ven biển của tỉnh Quảng Bình. Kết quả nghiên cứu đã cho thấy cá Móm gai dài có chiều dài dao động từ 52mm – 230mm, tương ứng với khối lượng từ 4g – 185g. Cấu trúc tuổi cá Móm gai dài đơn giản, gồm 4 nhóm tuổi (0+ - 3+), tốc độ tăng trưởng hàng năm tương đối nhanh, phương trình sinh trưởng theo Von Bertalanffy có dạng Lt = 234,4 x [1-e-0,35(t + 0,996)], Wt = 373,4 x [1-e-0,0244(t + 0,2388)]3,0676.


2010 ◽  
Vol 53 (1) ◽  
pp. 108-115 ◽  
Author(s):  
M. Petek ◽  
A. Orman ◽  
S. Dikmen ◽  
F. Alpay

Abstract. This study was made to compare physical chick quality indicators such as chick length and feather colour and their effects on the uniformity and subsequent growth performance in broiler. For this reason; 600 day old male chicks were used. Chicks were classified into two groups on the basis of their feather colour: deep and light yellow. Then, chicks in each group were further divided into three groups as small, middle and large according to their body length. The length of the middle group animals was varied between 18.0–18.3 cm, while that of the largest group was greater than 18.3 cm and the small group was lesser than 18.0 cm. A positive correlation between chick length and chick weight was observed in all groups at the 0 day of age. Body length uniformity in day old chick was more important than body weight uniformity. Longer chicks exhibited better growth potential throughout the experiment. The feeding efficiency and survival rate of longer chicks were numerically greater compared to smaller chicks. There were no significant differences for subsequent growth parameters in feather colour groups. Consequently; length of day old chick can be used as important criteria for selection of higher quality chicks having better growth performance.


2017 ◽  
Vol 16 (2) ◽  
pp. 72
Author(s):  
Dwi Lestari ◽  
E. L. Widiastuti ◽  
N. Nurcahyani ◽  
G. N. Susanto

Gourami (Osphronemus gouramy Lac.) as one of the freshwater fishes, are easily to be cultured but slow in growth rate. One of the ways to enhance their growth rate is by feeding them with high nutritious food. Sargassum sp. and inositol are known compound able to stimulate the growth of some fishes. The study was conducted to determine the effect of Sargassum sp and inositol on commercial feed to the growth rate and survival of juvenile gouramy. The study was conducted from January to April 2015 in Aquatic Laboratory of Biology Department - University of Lampung. Completely randomized designed was used with 4 treatment groups and 5 replications. Anova and Tukey at 5% levels were applied to this study. The result indicated that addition of inositol and Sargassum sp on commercial food significantly affected the gourami growth parameters such as the body weight, body length, body width as well as juvenile gouramy spesific growth rate and their survival rate.


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