Growth Model for Alaska King Crab (Paralithodes camtschatica)

1977 ◽  
Vol 34 (7) ◽  
pp. 989-995 ◽  
Author(s):  
Donald A. McCaughran ◽  
Guy C. Powell
Keyword(s):  
Growth Rate ◽  
Computer Simulation ◽  
Stochastic Model ◽  
Growth Model ◽  
Early Life ◽  
Carapace Length ◽  
Growth Increment ◽  
Stochastic Growth ◽  
King Crab ◽  
Paralithodes Camtschatica

A stochastic growth model is presented to represent the growth in carapace length of the Alaska king crab (Paralithodes camtschatica Tilesius). Two submodels are combined to yield the growth model: (1) growth increment as a function of premolt length and molting history and (2) a probabilistic model of frequency of molting by age, premolt length, and molting history. The results of a computer simulation of the growth model are presented. Frequency of ages at various lengths and frequency of lengths at each age are given. Frequency of molting during early life was found to greatly influence growth rate. Key words: king crab, growth, length, stochastic model growth increment, molting, growth model

SOME NODE DEGREE PROPERTIES OF SERIES–PARALLEL GRAPHS EVOLVING UNDER A STOCHASTIC GROWTH MODEL

2013 ◽  
Vol 27 (3) ◽  
pp. 297-307 ◽  
Author(s):  
Hosam M. Mahmoud
Keyword(s):  
Stochastic Model ◽  
Normal Distribution ◽  
Growth Model ◽  
Multivariate Normal Distribution ◽  
Exact Distribution ◽  
Node Degree ◽  
Natural Growth ◽  
Multivariate Normal ◽  
Stochastic Growth ◽  
Graph Properties

We introduce a natural growth model for directed series-parallel (SP) graphs and look at some of the graph properties under this stochastic model. Specifically, we look at the degrees of certain types of nodes in the random SP graph. We examine the degree of a pole and will find its exact distribution, given by a probability formula with alternating signs. We also prove that, for a fixed value s, the number of nodes of outdegree 1, …, s asymptotically has a joint multivariate normal distribution. Pólya urns will systematically provide a working tool.

Effects of Delayed Mating on the Reproduction of King Crab, Paralithodes camtschatica

1969 ◽  
Vol 26 (10) ◽  
pp. 2737-2740 ◽  
Author(s):  
John C. McMullen
Keyword(s):  
Carapace Length ◽  
Mature Female ◽  
Regression Equation ◽  
Coefficient Of Determination ◽  
King Crab ◽  
Volume Relation ◽  
Paralithodes Camtschatica ◽  
Fertilized Egg

Mature female king crab, Paralithodes camtschatica (Tilesius), molt annually, at which time each is normally attended by a male for mating purposes. This study considered how mating and the production of fertilized eggs might be affected if female king crab were forced to await partners after molting, a situation that has been observed at Kodiak Island.Prior to studying delayed mating, a carapace length–egg clutch volume relation was developed so partial egg clutches that might be produced could be objectively evaluated. The regression equation calculated is Y = −248.55 + 2.69 X, where carapace length was measured in millimeters and clutch volume in milliliters. The coefficient of determination (r2) for this regression equation is.899.The study of delayed mating was conducted with 76 female king crab, which were allowed to mate on one of 2–15 days after molting. All females that mated within 9 days after molting produced fertilized egg clutches. Nine of 24 females allowed to mate 10–13 days following ecdysis, and 10 females mated after 13 days, produced no egg clutches.

A nonlinear stochastic growth model on discrete time domains

2016 ◽  
Vol 22 (11) ◽  
pp. 1732-1746 ◽  
Author(s):  
Ferhan M. Atıcı ◽  
Gang Cheng ◽  
Alex Lebedinsky
Keyword(s):  
Growth Model ◽  
Discrete Time ◽  
Stochastic Growth ◽  
Stochastic Growth Model ◽  
Time Domains

A Simple Statistical Theory for Grain Growth in Materials.

1990 ◽  
Vol 209 ◽  
Author(s):  
P. Mulheran ◽  
J.H. Harding
Keyword(s):  
Growth Rate ◽  
Monte Carlo ◽  
Statistical Theory ◽  
Stochastic Model ◽  
Grain Growth ◽  
Three Dimensional ◽  
Monte Carlo Procedure ◽  
Short Time ◽  
2D And 3D ◽  
Good Agreement

A Monte Carlo procedure has been used to study the ordering of both two and three dimensional (2d and 3d) Potts Hamiltonians, further to the work of Anderson et al. For the 3d lattice, the short time growth rate is found to be much slower than previously reported, though the simulated microstructure is in agreement with the earlier studies. We propose a new stochastic model that gives good agreement with the simulations.

scholarly journals Competitive stochastic growth model for the 3D morphology of eutectic Si in Al–Si alloys

2013 ◽  
Vol 69 ◽  
pp. 289-298 ◽  
Author(s):  
Gerd Gaiselmann ◽  
Ole Stenzel ◽  
Anastasia Kruglova ◽  
Frank Muecklich ◽  
Volker Schmidt
Keyword(s):  
Growth Model ◽  
Stochastic Growth ◽  
Stochastic Growth Model ◽  
3D Morphology ◽  
Eutectic Si

Temperature effects in non-symmetric three-component counter-streaming electron plasmas: theory and computer simulation experiments

1978 ◽  
Vol 19 (3) ◽  
pp. 461-473 ◽  
Author(s):  
S. Cuperman ◽  
M. Mond ◽  
I. Roth ◽  
L. Gomberoff
Keyword(s):  
Growth Rate ◽  
Computer Simulation ◽  
Temperature Effects ◽  
Standing Waves ◽  
Maximum Growth ◽  
Distribution Functions ◽  
Absolute Maximum ◽  
General Effect ◽  
Simulation Experiments ◽  
Background Temperature

Temperature effects on the electrostatic instability of non-symmetric electron plasma systems consisting of two warm counter-streaming beams and of warm background particles are investigated linearly (analytically and numerically) and nonlinearly (by computer simulation experiments) for the case of Heaviside and moderately warm Maxwellian particle distribution functions. The non-symmetry is due to unequal temperatures, streaming velocities and particle densities in the beams. Other variable parameters investigated are the relative thermal velocities of the beams and background as well as the relative background particle concentration. When the beam temperatures are unequal, unstable waves with Re ω > 0 and propagating in the direction of the beam with lower temperature occur; this is in contrast to the equal temperature symmetric two-stream case, in which the unstable waves have Re ω = 0 (standing waves) and the temperature effect is only to decrease the growth rate. When three warm components are present in the system, the following results hold: (i) the beam temperatures have the effect of decreasing the importance of the unstable standing waves with Re ω > 0 (and growth rate yB) relative to the waves with Re w = 0 (growth rate yA) which occur in cold three-component symmetric systems; in addition to this, both γA, max and γB, max decrease with increasing temperature; (ii) the background temperature has the general effect of reducing the absolute maximum growth rate. For relative background temperatures above a certain critical value, a separation (in k and ω spaces) of regions B and A occurs; γA, max increases and γB, max decreases with increasing relative background temperature.

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