scholarly journals Taylor’s power law for the N-stars network evolution model

2019 ◽  
pp. 311-331
Author(s):  
István Fazekas ◽  
Csaba Noszály ◽  
Noémi Uzonyi
Keyword(s):  
Power Law ◽  
Network Evolution ◽  
Evolution Model ◽  
Taylor’S Power Law ◽  
Taylor's Power Law

Fitting Taylor's Power Law

Oikos ◽  
1992 ◽  
Vol 65 (3) ◽  
pp. 538 ◽  
Author(s):  
Joe N. Perry ◽  
Ian P. Woiwod
Keyword(s):  
Power Law ◽  
Taylor’S Power Law ◽  
Taylor's Power Law

scholarly journals Influence of the physical dimension of leaf size measures on the goodness of fit for Taylor's power law using 101 bamboo taxa

2019 ◽  
Vol 19 ◽  
pp. e00657 ◽  
Author(s):  
Peijian Shi ◽  
Lei Zhao ◽  
David A. Ratkowsky ◽  
Karl J. Niklas ◽  
Weiwei Huang ◽  
...  
Keyword(s):  
Power Law ◽  
Goodness Of Fit ◽  
Leaf Size ◽  
Taylor’S Power Law ◽  
Taylor's Power Law

Spatial distribution and sequential sampling of Nysius spp. (Hemiptera: Lygaeidae) on sunflowers

1988 ◽  
Vol 28 (2) ◽  
pp. 279 ◽  
Author(s):  
PG Allsopp ◽  
S Iwao ◽  
LR Taylor
Keyword(s):  
Power Law ◽  
Negative Binomial ◽  
Sequential Sampling ◽  
Binomial Model ◽  
Sequential Decision ◽  
Taylor’S Power Law ◽  
Crop Development ◽  
Precision Level ◽  
Taylor's Power Law ◽  
Mixed Populations

Counts of adults of mixed populations of Nysius vinitor Bergroth and N. clevelandensis Evans on preflowering and postflowering sunflowers did not conform to the Poisson distribution because of overdispersion. Preflowering samples did not conform to the negative binomial model, but postflowering samples did with a common k of 3.78. Both sets of samples fitted significantly (P<0.01) Iwao's patchiness regression and Taylor's power law, but with significantly (P<0.01) different intercepts and slopes, respectively. Relationships to determine sample sizes for fixed levels of precision and fixed-precision-level stop lines are developed for both stages of crop development using Taylor's power law. Sequential decision plans based on Iwao's regression are developed for use in the management of Nysius spp. on preflowering and postflowering sunflowers.

The N-star network evolution model

2019 ◽  
Vol 56 (2) ◽  
pp. 416-440 ◽  
Author(s):  
István Fazekas ◽  
Csaba Noszály ◽  
Attila Perecsényi
Keyword(s):  
Power Law ◽  
Preferential Attachment ◽  
Network Evolution ◽  
Evolution Model ◽  
Asymptotic Power ◽  
Star Network ◽  
Power Law Distributions

AbstractA new network evolution model is introduced in this paper. The model is based on cooperations of N units. The units are the nodes of the network and the cooperations are indicated by directed links. At each evolution step N units cooperate, which formally means that they form a directed N-star subgraph. At each step either a new unit joins the network and it cooperates with N − 1 old units, or N old units cooperate. During the evolution both preferential attachment and uniform choice are applied. Asymptotic power law distributions are obtained both for in-degrees and for out-degrees.

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