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Updated: Sep 23, 2025

Hi-C: A Method to Study the Three-dimensional Architecture of Genomes.
Published on: May 6, 2010
Characterizing Fractal Genetic Variation in the Human Genome from the Hapmap Project
Alessandro Borri1,2, Antonio Cerasa3,4,5, Paolo Tonin4
1CNR-IASI Biomathematics Laboratory, (BioMatLab), Rome, Italy.
Higuchi's fractal dimension (HFD) effectively characterizes human genome variations and population differences. This method surpasses box-counting dimension (BCD) in accurately classifying global populations based on genetic data.
Area of Science:
- Genomics
- Computational Biology
- Bioinformatics
Background:
- Next-generation sequencing has revolutionized gene discovery and human genome mapping.
- Single nucleotide polymorphisms (SNPs) reveal individual genetic heterogeneity.
- Fractal dimension (FD) quantifies the complexity of self-similar natural phenomena.
Purpose of the Study:
- To compare two FD algorithms, Higuchi's fractal dimension (HFD) and box-counting dimension (BCD).
- To characterize genome-wide SNP patterns and assess their utility in population genetics.
- To evaluate the correlation between genetic and geographical distances among global populations.
Main Methods:
- Utilized HapMap data from 1184 individuals across eleven populations.
- Applied HFD and BCD algorithms to analyze genome-wide SNP data.
- Employed cluster and classification analyses to compare population groupings based on FD.
Main Results:
- HFD demonstrated superior performance over BCD in clustering and classification analyses.
- HFD achieved higher accuracy (79.0%) compared to BCD (69.1%) in population classification.
- HFD showed a high cophenetic correlation coefficient (0.981), indicating accurate clustering.
Conclusions:
- HFD is a reliable and effective measure for representing individual genetic variations across chromosomes.
- HFD analysis aids in categorizing individuals and global populations based on genomic patterns.
- The findings support the application of HFD in population genetics and understanding human diversity.
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