Space-Time Correlations in Stationary Isotropic Turbulence

1958 ◽  
Vol 1 (6) ◽  
pp. 462 ◽  
Author(s):  
G. Münch ◽  
Albert D. Wheelon
Keyword(s):  
Isotropic Turbulence ◽  
Space Time ◽  
Time Correlations

scholarly journals Spatial and space-time correlations in systems of subpopulations with genetic drift and migration.

Genetics ◽  
1993 ◽  
Vol 133 (3) ◽  
pp. 711-727
Author(s):  
B K Epperson
Keyword(s):  
Population Genetics ◽  
Time Correlation ◽  
Space Time ◽  
Spatial Correlations ◽  
Gene Frequencies ◽  
Migration Patterns ◽  
Migration Rates ◽  
Space And Time ◽  
Time Correlations ◽  
And Migration

Abstract The geographic distribution of genetic variation is an important theoretical and experimental component of population genetics. Previous characterizations of genetic structure of populations have used measures of spatial variance and spatial correlations. Yet a full understanding of the causes and consequences of spatial structure requires complete characterization of the underlying space-time system. This paper examines important interactions between processes and spatial structure in systems of subpopulations with migration and drift, by analyzing correlations of gene frequencies over space and time. We develop methods for studying important features of the complete set of space-time correlations of gene frequencies for the first time in population genetics. These methods also provide a new alternative for studying the purely spatial correlations and the variance, for models with general spatial dimensionalities and migration patterns. These results are obtained by employing theorems, previously unused in population genetics, for space-time autoregressive (STAR) stochastic spatial time series. We include results on systems with subpopulation interactions that have time delay lags (temporal orders) greater than one. We use the space-time correlation structure to develop novel estimators for migration rates that are based on space-time data (samples collected over space and time) rather than on purely spatial data, for real systems. We examine the space-time and spatial correlations for some specific stepping stone migration models. One focus is on the effects of anisotropic migration rates. Partial space-time correlation coefficients can be used for identifying migration patterns. Using STAR models, the spatial, space-time, and partial space-time correlations together provide a framework with an unprecedented level of detail for characterizing, predicting and contrasting space-time theoretical distributions of gene frequencies, and for identifying features such as the pattern of migration and estimating migration rates in experimental studies of genetic variation over space and time.

scholarly journals On the computation of space-time correlations by large-eddy simulation

2004 ◽  
Vol 16 (11) ◽  
pp. 3859-3867 ◽  
Author(s):  
Guo-Wei He ◽  
Meng Wang ◽  
Sanjiva K. Lele
Keyword(s):  
Large Eddy Simulation ◽  
Space Time ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Time Correlations

Time correlations of pressure in isotropic turbulence

2008 ◽  
Vol 20 (2) ◽  
pp. 025105 ◽  
Author(s):  
Hua-Dong Yao ◽  
Guo-Wei He ◽  
Meng Wang ◽  
Xing Zhang
Keyword(s):  
Isotropic Turbulence ◽  
Time Correlations
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