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Research Areas
Scalable Landscape Evolution and Fractal Terrain Modeling
We develop computational and theoretical frameworks to understand the evolution and organization of landscapes and drainage networks. Our laboratory introduced the Global D8 (GD8) and improved GD8 (iGD8) algorithms for flow-path extraction and developed landscape evolution models such as LEGS and DESE to simulate dynamic Earth-surface change, including coupled topography–climate evolution. Building on these foundations, we study fractality, scaling laws, self-organization, optimal channel networks, and scalable computing methods for efficient and realistic terrain modeling.
Related Publications
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Fractality and Self-Organization
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Paik, K., & Kumar, P. (2007). Inevitable self-similar topology of binary trees and their diverse hierarchical density. The European Physical Journal B, 60, 247-258.
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Paik, K., & Kumar, P. (2008). Emergence of self‐similar tree network organization. Complexity, 13(4), 30-37.
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Paik, K. (corr.), & Kumar, P. (2010). Optimality approaches to describe characteristic fluvial patterns on landscapes. Philosophical Transactions of the Royal Society B: Biological Sciences, 365(1545), 1387-1395.
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Paik, K. (corr.), & Kumar, P. (2011). Power-law behavior in geometric characteristics of full binary trees. Journal of Statistical Physics, 142, 862-878.
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Paik, K. (2012). Search for the optimality signature of river network development. Physical Review E, Nonlinear, and Soft Matter Physics, 86(4), 046110.
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Scaling and Optimal Channel Networks
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Yang, S., & Paik, K. (corr.) (2017). New findings on river network organization: Law of eigenarea and relationships among Hortonian scaling ratios. Fractals, 25(03), 1750029.
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Bizzi, S., Cominola, A., Mason, E., Castelletti, A., & Paik, K. (corr.) (2018). Multicriteria Optimization Model to Generate on-DEM Optimal Channel Networks. Water Resources Research, 54(8), 5727-5740.
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Yang, S., Choi, K., & Paik, K. (corr.) (2024). Power law between the apparent drainage density and the pruning area. Hydrology and Earth System Sciences, 28(14), 3119-3132.
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Flow Path Extraction and Terrain Modeling
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Coupled and Scalable Earth Surface Modeling
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Paik, K. (corr.) and W. Kim (2021) Simulating the evolution of the topography–climate coupled system, Hydrology and Earth System Sciences, Vol.25, Issue5, pp.2459–2474, doi:10.5194/hess-25-2459-2021.
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Byun, J., & Paik, K. (corr.) (2021). The development process of the Korean coastal mountain range: Examination from spatial distribution of knickzones. Progress in Physical Geography: Earth and Environment, 45(4), 541-563.
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