Neighbourhood rules make or break spatial scale invariance in a classic model of contagious disturbance

2011 ◽  
Vol 8 (4) ◽  
pp. 347-356 ◽  
Author(s):  
Matthias M. Boer ◽  
Paul Johnston ◽  
Rohan J. Sadler
Keyword(s):  
Spatial Scale ◽  
Scale Invariance ◽  
Classic Model

scholarly journals Spatial scale invariance of southern Australian forest fires mirrors the scaling behaviour of fire-driving weather events

2008 ◽  
Author(s):  
Matthias M. Boer ◽  
Rohan J. Sadler ◽  
Ross A. Bradstock ◽  
A. Malcolm Gill ◽  
Pauline F. Grierson
Keyword(s):  
Spatial Scale ◽  
Forest Fires ◽  
Scale Invariance ◽  
Scaling Behaviour ◽  
Weather Events

scholarly journals Spatial scale invariance of the amblyopic global motion deficit

2010 ◽  
Vol 8 (6) ◽  
pp. 21-21 ◽  
Author(s):  
C. Aaen-Stockdale ◽  
R. F. Hess
Keyword(s):  
Spatial Scale ◽  
Scale Invariance ◽  
Global Motion

D-test: A New Test for Analyzing Scale Invariance Using Symbolic Dynamics and Symbolic Entropy

Methodology ◽  
2011 ◽  
Vol 7 (3) ◽  
pp. 88-95 ◽  
Author(s):  
Jose A. Martínez ◽  
Manuel Ruiz Marín
Keyword(s):  
Symbolic Dynamics ◽  
Scale Invariance ◽  
Rating Scales ◽  
Rating Scale ◽  
Marketing Research ◽  
Response Patterns ◽  
Measurement Scales ◽  
Improve Measurement ◽  
Entropy Measures ◽  
The Difference

The aim of this study is to improve measurement in marketing research by constructing a new, simple, nonparametric, consistent, and powerful test to study scale invariance. The test is called D-test. D-test is constructed using symbolic dynamics and symbolic entropy as a measure of the difference between the response patterns which comes from two measurement scales. We also give a standard asymptotic distribution of our statistic. Given that the test is based on entropy measures, it avoids smoothed nonparametric estimation. We applied D-test to a real marketing research to study if scale invariance holds when measuring service quality in a sports service. We considered a free-scale as a reference scale and then we compared it with three widely used rating scales: Likert-type scale from 1 to 5 and from 1 to 7, and semantic-differential scale from −3 to +3. Scale invariance holds for the two latter scales. This test overcomes the shortcomings of other procedures for analyzing scale invariance; and it provides researchers a tool to decide the appropriate rating scale to study specific marketing problems, and how the results of prior studies can be questioned.

Fluid membranes in the “semi-rigid regime”: scale invariance

1991 ◽  
Vol 1 (9) ◽  
pp. 1121-1132 ◽  
Author(s):  
M. Skouri ◽  
J. Marignan ◽  
J. Appell ◽  
G. Porte
Keyword(s):  
Scale Invariance ◽  
Fluid Membranes

Sex-biased dispersal depends on the spatial scale in a tube-building amphipod species

2020 ◽  
Author(s):  
PA Peres ◽  
AP Ferreira ◽  
GBO Machado ◽  
M Azevedo-Silva ◽  
SGL Siqueira ◽  
...  
Keyword(s):  
Spatial Scale ◽  
Amphipod Species
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