scholarly journals Richards Function in Animal Growth Analysis and Friedmann Equation in Space Expansion Analysis

2017 ◽  
Vol 62 (1) ◽  
pp. 105-109
Author(s):  
Masataka Shimojo
HortScience ◽  
1996 ◽  
Vol 31 (4) ◽  
pp. 587a-587
Author(s):  
Jomo MacDermott ◽  
D.L. Coffey

Some chicory (Cichorium intybus L.) cultivars, especially early and extra-early cultivars, often bolt and flower the first year of growth, contrary to the expected behavior of biennials. The extra early hybrid cultivar `Daliva' was grown in the field under bare soil and straw mulched conditions to examine possible correlations between growth rates, leaf and root sizes and bolting. Plants, sown on 19 June, were harvested weekly from 4 July to 1 Oct.; a total of 14 harvests. Root variables of length and diameter were best described by linear equations but root dry weight was decidedly quadratic in response. Leaf number, area and dry weight and crown diameter data were fitted to the Richards function to describe their sigmoidal phases of growth. In most cases, when using the Richards function, the two treatments (mulch vs. no-mulch) required different parameters to fit a line to the observed points with r2 values >0.95. A statistical comparison between treatment parameters (as obtained from SAS PROC NLIN and SigmaPlot) will be discussed.


2014 ◽  
Vol 65 (3-4) ◽  
pp. 207-212 ◽  
Author(s):  
Andrzej Gregorczyk

The scheme is presented for calculation of errors of dry matter values which occur during approximation of data with growth curves, determined by the analytical method (logistic function) and by the numerical method (Richards function). Further formulae are shown, which describe absolute errors of growth characteristics: Growth rate (GR), Relative growth rate (RGR), Unit leaf rate (ULR) and Leaf area ratio (LAR). Calculation examples concerning the growth course of oats and maize plants are given. The critical analysis of the estimation of obtained results has been done. The purposefulness of joint application of statistical methods and error calculus in plant growth analysis has been ascertained.


2007 ◽  
Vol 55 (4) ◽  
pp. 417-436 ◽  
Author(s):  
Z. Berzsenyi ◽  
Q. Dang

In maize, plant density has a considerable influence on the rate of dry matter accumulation and on its partitioning between vegetative and reproductive sinks. The aim of the present research was to use the first, second and third derivatives of the Richards function (RF) for growth analysis on maize hybrids grown at various densities. In two-factorial split-plot experiments carried out in Martonvásár, Hungary in 1997–1999 the growth analysis method was used to examine the effect of six plant densities (20, 40, 60, 80, 100 and 120 thousand plants ha −1 ) on the growth of three maize hybrids (Mara, Mv 355, Florencia) with different vegetation periods. Plant density had a significant effect on the dynamics of dry matter accumulation, absolute growth rate (AGR) and absolute acceleration rate (AAR). There was a significant reduction in the asymptotic maximum (A) and growth parameters (AGR, AAR) of the whole plant and of the individual plant organs (stalk, leaf, ear and grain yield), while the parameters of the leaf area index (LAI) increased significantly with a rise in the plant density. The usefulness of the RF for approximating the growth processes of maize plants and individual plant parts was confirmed statistically.


2019 ◽  
pp. 108-126
Author(s):  
Ivan L. Lyubimov

This paper examines the evolution of academic and applied approaches to analyze the problem of economic growth since the mid-XX century. For quite an extended period of time, these views were corresponding to universalist economic policies taking no adequate account of particularities and limitations that a certain catching-up economy embodied. New approaches analyzing the problems of economic growth, on the contrary, individualize growth diagnostics, structural transformation and the organization of reforms processes for the emerging economies. We argue that individualist approaches might be potentially more effective than the universalist ones for solving the problem of slow economic growth.


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