scholarly journals Entropy In Regional Analysis

2015 ◽  
Vol 34 (4) ◽  
pp. 69-78 ◽  
Author(s):  
Teresa Czyż ◽  
Jan Hauke
Keyword(s):  
Shannon Entropy ◽  
Regional Analysis ◽  
Regional Inequality ◽  
Entropy Measure ◽  
Spatial Differences ◽  
Regional Types

Abstract Entropy has been proposed as a significant tool for an analysis of spatial differences. Using Semple and Gauthier’s (1972) transformation of the Shannon entropy statistic into an entropy measure of inequality and their algorithm, an estimation is made of changes in regional inequality in Poland over the years 2005–2012. The inequality is decomposed into total, inter- and intra-regional types, and an analysis is made of relations holding between them.

scholarly journals Regional analysis of parameter sensitivity for simulation of streamflow and hydrological fingerprints

2017 ◽  
Author(s):  
Simon Höllering ◽  
Jan Wienhöfer ◽  
Jürgen Ihringer ◽  
Luis Samaniego ◽  
Erwin Zehe
Keyword(s):  
Sensitivity Analysis ◽  
Temporal Dynamics ◽  
Regional Analysis ◽  
Specific Model ◽  
Parameter Sensitivity ◽  
Distributed Hydrological Model ◽  
Response Characteristics ◽  
Sensitivity Pattern ◽  
Spatial Differences ◽  
Streamflow Response

Abstract. Diagnostics of hydrological models is pivotal for a better understanding of catchment functioning. The analysis of dominating parameters for the simulation of streamflow plays a key role for region specific model diagnostics, model calibration or parameter transfer. A major challenge in this analysis of parameter sensitivity is the assessment of both temporal and spatial differences of parameter influences on simulated streamflow response. A methodical approach is presented, wherein a two-tiered global sensitivity analysis on a spatially distributed hydrological model is applied to 14 mesoscale headwater catchments of the river Ruhr in western Germany. The analysis of parameter sensitivity is geared towards two complementary forms of streamflow response targets. The analysis of the temporal dynamics of parameter sensitivity (TEDPAS) is contrasted with sensitivity analysis directed to hydrological fingerprints, i.e. temporally independent and temporally aggregated characteristics of streamflow (INDPAS). The two-tiered approach allows to discern a clarified sensitivity pattern pinpointed to diverse response characteristics, to detect regional differences and to reveal the regional relevance of the response target. Small local differences in the hydroclimatic and topographic setting of the headwaters lead to slight differences in the hydrological functioning, which was revealed by gradual differences in TEDPAS and INDPAS.

LATTICE-VALUED POSSIBILISTIC ENTROPY MEASURE

2008 ◽  
Vol 16 (06) ◽  
pp. 829-846
Author(s):  
IVAN KRAMOSIL
Keyword(s):  
Finite Number ◽  
Shannon Entropy ◽  
Probability Distributions ◽  
Entropy Measure ◽  
Nonincreasing Function ◽  
Basic Space ◽  
Complete Lattices ◽  
Completely Distributive ◽  
Independent Product

Since almost fifty years, Shannon entropy measure has been used as a very powerful tool when quantifying and processing the amount of randomness contained in probability distributions. In this paper we propose a lattice-valued entropy measure H ascribing to each lattice-valued possibilistic distribution π the value H(π) defined as the expected value (in the sense of lattice-valued Sugeno integral with infimum in the role of t-norm) of certain nonincreasing function of the values ascribed to the elements of the basic space by the possibilistic distribution π in question. The main result reads that, for completely distributive complete lattices, the entropy value ascribed to possibilistically independent product of a finite number of lattice-valued possibilistic distributions is defined by the supremum of the entropy values ascribed to particular distributions.

scholarly journals Variations in the Spatial Distribution of Areas of Economic Growth and Stagnation in Poland: Determinants and Consequences

2014 ◽  
Vol 33 (2) ◽  
pp. 63-77 ◽  
Author(s):  
Paweł Churski
Keyword(s):  
Economic Growth ◽  
Spatial Distribution ◽  
Regional Analysis ◽  
Staff Members ◽  
Intervention Measures ◽  
Spatial Systems ◽  
Spatial Management ◽  
Science Centre ◽  
Spatial Differences ◽  
Development Trajectories

Abstract This study seeks to identify the spatial distribution of and changes in areas of economic growth and stagnation in Poland resulting from spatial differences in the process of the country’s socio-economic advancement. The research covered two spatial systems, NUTS 2 and NUTS 4, and embraced the following steps: (1) identification of the spatial distribution of areas of economic growth and stagnation, by region and subregion, and of its determinants; (2) analysis of variations in the spatial distribution of areas of economic growth and stagnation, by region and subregion, and of its consequences; and (3) conclusions from the development trajectories identified and recommendations for intervention measures to be taken under cohesion policy. The results presented here come from one of the stages of a research conducted under the project Socio-economic development and the formation of areas of economic growth and stagnation, funded by the National Science Centre (N N306 791940). The project is implemented by a team of staff members of the Department of Regional Analysis of the Institute of Socio-Economic Geography and Spatial Management, Adam Mickiewicz University in Poznań, headed by the present author.

scholarly journals Haematopoietic stem cells: entropic landscapes of differentiation

2018 ◽  
Vol 8 (6) ◽  
pp. 20180040 ◽  
Author(s):  
K. Wiesner ◽  
J. Teles ◽  
M. Hartnor ◽  
C. Peterson
Keyword(s):  
Gene Expression ◽  
Equilibrium State ◽  
Shannon Entropy ◽  
Stable Equilibrium ◽  
Single Cells ◽  
Entropy Measure ◽  
Stable Equilibrium State ◽  
Time Resolved ◽  
Entry Points ◽  
Time Point

The metaphor of a potential epigenetic differentiation landscape broadly suggests that during differentiation a stem cell approaches a stable equilibrium state from a higher free energy towards a stable equilibrium state which represents the final cell type. It has been conjectured that there is an analogy to the concept of entropy in statistical mechanics. In this context, in the undifferentiated state, the entropy would be large since fewer constraints exist on the gene expression programmes of the cell. As differentiation progresses, gene expression programmes become more and more constrained and thus the entropy would be expected to decrease. In order to assess these predictions, we compute the Shannon entropy for time-resolved single-cell gene expression data in two different experimental set-ups of haematopoietic differentiation. We find that the behaviour of this entropy measure is in contrast to these predictions. In particular, we find that the Shannon entropy is not a decreasing function of developmental pseudo-time but instead it increases towards the time point of commitment before decreasing again. This behaviour is consistent with an increase in gene expression disorder observed in populations sampled at the time point of commitment. Single cells in these populations exhibit different combinations of regulator activity that suggest the presence of multiple configurations of a potential differentiation network as a result of multiple entry points into the committed state.

Regional inequality and labour precariousness: An empirical regional analysis for Brazil, Mexico and Equador

2020 ◽  
Vol 12 (1) ◽  
pp. 61-81
Author(s):  
Luis Quintana ◽  
Carlos Salas ◽  
Christian Duarte ◽  
Ronny Correa‐Quezada
Keyword(s):  
Regional Analysis ◽  
Regional Inequality

scholarly journals Local Shannon entropy measure with statistical tests for image randomness

2013 ◽  
Vol 222 ◽  
pp. 323-342 ◽  
Author(s):  
Yue Wu ◽  
Yicong Zhou ◽  
George Saveriades ◽  
Sos Agaian ◽  
Joseph P. Noonan ◽  
...  
Keyword(s):  
Shannon Entropy ◽  
Statistical Tests ◽  
Entropy Measure ◽  
Image Randomness

scholarly journals Entropy Based Genetic Association Tests and Gene-Gene Interaction Tests

2011 ◽  
Vol 10 (1) ◽  
Author(s):  
Mariza de Andrade ◽  
Xin Wang
Keyword(s):  
Genetic Association ◽  
Shannon Entropy ◽  
Statistical Power ◽  
Genetic Model ◽  
Gene Interaction ◽  
Renyi Entropy ◽  
Rényi Entropy ◽  
Entropy Measure ◽  
P Value ◽  
The Impact

In the past few years, several entropy-based tests have been proposed for testing either single SNP association or gene-gene interaction. These tests are mainly based on Shannon entropy and have higher statistical power when compared to standard χ2 tests. In this paper, we extend some of these tests using a more generalized entropy definition, Rényi entropy, where Shannon entropy is a special case of order 1. The order λ (>0) of Rényi entropy weights the events (genotype/haplotype) according to their probabilities (frequencies). Higher λ places more emphasis on higher probability events while smaller λ (close to 0) tends to assign weights more equally. Thus, by properly choosing the λ, one can potentially increase the power of the tests or the p-value level of significance. We conducted simulation as well as real data analyses to assess the impact of the order λ and the performance of these generalized tests. The results showed that for dominant model the order 2 test was more powerful and for multiplicative model the order 1 or 2 had similar power. The analyses indicate that the choice of λ depends on the underlying genetic model and Shannon entropy is not necessarily the most powerful entropy measure for constructing genetic association or interaction tests.

Determination of Synchronization of Electrical Activity in the Heart by Shannon Entropy Measure

2005 ◽  
pp. 235-239
Author(s):  
Michela Masè ◽  
Luca Faes ◽  
Giandomenico Nollo ◽  
Renzo Antolini ◽  
Flavia Ravelli
Keyword(s):  
Electrical Activity ◽  
Shannon Entropy ◽  
Entropy Measure
Sign in / Sign up

Export Citation Format

Share Document