scholarly journals Dynamics of a stochastic linear-growth equation with spatiotemporal correlated noise

1997 ◽  
Vol 56 (6) ◽  
pp. 6676-6679 ◽  
Author(s):  
Ning-Ning Pang
Keyword(s):  
Linear Growth ◽  
Growth Equation ◽  
Correlated Noise

scholarly journals The Lognormal-Like Distributions in the Linear Growth Equations

2003 ◽  
Vol 17 (22n24) ◽  
pp. 4300-4307
Author(s):  
Ning-Ning Pang ◽  
Wen-Jer Tzeng
Keyword(s):  
Growth Process ◽  
Linear Growth ◽  
Growth Equation ◽  
Two Dimensional ◽  
Exponential Distributions ◽  
One Dimensional ◽  
The Social ◽  
Exponential Random Variables ◽  
Growth Equations ◽  
The One

The distributions of the global interfacial widths, correlation functions, and the local interfacial widths of the growth process described by the one-dimensional Edward-Wilkinson equation are shown to be denumerable convolutions of exponential distributions. The same conclusions can also be extended to the distributions of the global interfacial widths for another linear growth equation, describing some super-rough growth processes, in both one- and two-dimensional cases. Most of these distributions display the lognormal-like behavior. We propose that the mechanism provided by the accumulation of exponential random variables may contribute to a lot of the lognormal-like behavior observed in the social and natural sciences.

Kinetic Roughening by Linear Growth Mechanism with Correlated Noise

1998 ◽  
Vol 12 (19) ◽  
pp. 1921-1935 ◽  
Author(s):  
Ning-Ning Pang
Keyword(s):  
White Noise ◽  
Power Law ◽  
Linear Growth ◽  
Asymptotic Form ◽  
Time Correlation ◽  
Time Correlation Function ◽  
Detailed Calculation ◽  
Correlated Noise ◽  
Equal Time ◽  
Kinetic Roughening

We give the detailed calculation of various correlation functions of the system described by the Edwards–Wilkinson (EW) equation with long-range noise correlation of the power-law form for arbitrary substrate dimensionality. The obtained information can be employed for comparison with experimental data directly, permitting extraction of various phenomenological parameters. Furthermore, we explicitly evaluate the large-distance asymptotic form of the equal-time correlation function. The result shows that it goes as a power-law form of distance, instead of the exponential decaying form as the case with white noise. This distinct behavior can be used to experimentally distinguish whether the roughening of a system is caused by white noise or correlated noise.

scholarly journals Growth of tench (Tinca tinca L., 1758) (Cyprinidae) in reservoirs of K. Satpayev canal

2021 ◽  
Vol 0 (4) ◽  
pp. 46-56
Author(s):  
Vladimir Nickolaevich Krainyuk ◽  
Saule Zhangirovna Asylbekova ◽  
Azis Vasilyevich Shutkarayev
Keyword(s):  
Growth Rates ◽  
Linear Growth ◽  
Growth Efficiency ◽  
Trophic Factors ◽  
Limiting Factor ◽  
Growth Equation ◽  
Tinca Tinca ◽  
Von Bertalanffy Growth Equation ◽  
The Stability ◽  
Tench Tinca Tinca

The reservoirs of the K. Satpayev canal are the important fishery water bodies in the Central Kazakhstan. Some of these reservoirs are inhabited by tench, a fish species relatively widely represented in other water systems of the region. In the reservoirs of the canal this species is not the main commercial one but it has a fairly high commercial value due to its popularity with consumers. As part of the research, the growth indicators of Tinca tinca from 4 reservoirs were evaluated, and the data on its growth from 3 more reservoirs were also provided. These samples differ in efficiency and growth rates. It has been found that there is no sexual or generation variability. Growth rates in successive fish generations strongly correlate with each other, which may indirectly indicate the stability of living conditions. The R. Lee’s phenomenon was not marked. In this regard, the calculation of variables of the von Bertalanffy growth equation was carried out without additional data processing. The highest rates of linear growth were characteristic of Tinca tinca from the reservoir of HS No. 9. However, the effectiveness of its growth scheme was the lowest. Population with a longer age range from the reservoir HS No. 3 did not have high linear growth rates, but its growth efficiency was higher. In this case, it is obvious that any assessment of growth will be relative and depend on the goals set for it. In the reservoirs of the canal there are more or less similar conditions for tench populations living due to the specifics of its functioning. The main limiting factor for the growth rate, in our opinion, will be abundance of the species in the reservoir and related trophic factors with a certain influence of withdrawal (fishing, predators).

Scaling analysis of the conservation growth equation with temporally correlated noise

2004 ◽  
Vol 338 (3-4) ◽  
pp. 431-436 ◽  
Author(s):  
Li-Ping Zhang ◽  
Gang Tang ◽  
Hui Xia ◽  
Da-Peng Hao ◽  
Hua Chen
Keyword(s):  
Scaling Analysis ◽  
Growth Equation ◽  
Correlated Noise ◽  
Temporally Correlated

scholarly journals GROWTH OF AMUR FLATHEAD ASP PSEUDASPIUS LEPTOCEPHALUS (PALLAS, 1776)

2020 ◽  
Vol 200 ◽  
pp. 118-130 ◽  
Author(s):  
N. N. Semenchenko
Keyword(s):  
Sexual Dimorphism ◽  
Compensatory Growth ◽  
Linear Growth ◽  
The Body ◽  
Linear Growth Rate ◽  
Growth Equation ◽  
Von Bertalanffy ◽  
Geographical Variability ◽  
Weight Growth ◽  
Von Bertalanffy Growth Equation

Linear and weight growth of amur flathead asp Pseudaspius leptocephalus is described on the base of the measurements data collected on the lower Amur (from Nizhneleninskoe village to the mouth) in 2004–2018, using von Bertalanffy growth equation. Age was determined for 2240 fish including 1061 females and 528 males. The main specific features of the amur flathead asp growth are the absence of sexual dimorphism in linear growth rate and the absence of the body length differences between females and males, except of the eldest fish. However, the sexual dimorphism is found for the weight growth. A compensatory growth is noted for the amur flathead asp. The amur flathead asp parameters have some geographical variability.

Sign in / Sign up

Export Citation Format

Share Document