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Apparent Hack's law in river deltas.

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Title: Apparent Hack's law in river deltas.
Authors: Dong, Tian Y. (AUTHOR), Vulis, Lawrence (AUTHOR), Ma, Hongbo (AUTHOR), Tejedor, Alejandro (AUTHOR), Goudge, Timothy A. (AUTHOR)
Source: Science. 4/30/2026, Vol. 392 Issue 6797, p493-498. 6p.
Subjects: River deltas, Scaling laws (Statistical physics), Landscapes, Sedimentation & deposition, Sediment transport
Abstract: River deltas are densely populated, ecologically vital landscapes threatened by rising sea levels. Distributary channel networks disperse sediment to build deltaic land, yet the relationship between the network organization and land building remains elusive. Inspired by Hack's law, which shows that watershed drainage area scales with channel length in tributary networks, we analyzed a global dataset of distributary networks and found a nearly identical scaling relationship between distributary channel length and nourishment area, the land-building counterpart to drainage area. Despite this apparent global scaling, we further identified two distinct local land-building patterns: uniform delta networks consistently follow Hack's law, whereas composite delta networks exhibit a scale break, transitioning from space-filling growth around the delta apex to quasi-linear growth near the coast. The unexpected growth patterns suggest that global simplicity and local variability coexist in how river deltas grow and organize. Editor's summary: A river's branching tributary network follows a power-law scaling relationship called Hack's law, in which the area of a drainage basin can be predicted by the length of its longest tributary channel. At a river's delta, distributary channels disperse in a similarly fractal way, yet a comparable scaling relationship has been elusive. Looking globally, however, Dong et al. extracted a nearly identical power-law relationship between distributary channel length and a delta's land-building area. A Hack's law for deltas that has defined local scaling variability provides a formula for understanding how deltas grow, change, and can be restored. —Angela Hessler [ABSTRACT FROM AUTHOR]
Copyright of Science is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Psychology and Behavioral Sciences Collection
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  Data: Apparent Hack's law in river deltas.
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  Data: <searchLink fieldCode="AR" term="%22Dong%2C+Tian+Y%2E%22">Dong, Tian Y.</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Vulis%2C+Lawrence%22">Vulis, Lawrence</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ma%2C+Hongbo%22">Ma, Hongbo</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tejedor%2C+Alejandro%22">Tejedor, Alejandro</searchLink> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Goudge%2C+Timothy+A%2E%22">Goudge, Timothy A.</searchLink> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Science%22">Science</searchLink>. 4/30/2026, Vol. 392 Issue 6797, p493-498. 6p.
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  Data: <searchLink fieldCode="DE" term="%22River+deltas%22">River deltas</searchLink><br /><searchLink fieldCode="DE" term="%22Scaling+laws+%28Statistical+physics%29%22">Scaling laws (Statistical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Landscapes%22">Landscapes</searchLink><br /><searchLink fieldCode="DE" term="%22Sedimentation+%26+deposition%22">Sedimentation & deposition</searchLink><br /><searchLink fieldCode="DE" term="%22Sediment+transport%22">Sediment transport</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: River deltas are densely populated, ecologically vital landscapes threatened by rising sea levels. Distributary channel networks disperse sediment to build deltaic land, yet the relationship between the network organization and land building remains elusive. Inspired by Hack's law, which shows that watershed drainage area scales with channel length in tributary networks, we analyzed a global dataset of distributary networks and found a nearly identical scaling relationship between distributary channel length and nourishment area, the land-building counterpart to drainage area. Despite this apparent global scaling, we further identified two distinct local land-building patterns: uniform delta networks consistently follow Hack's law, whereas composite delta networks exhibit a scale break, transitioning from space-filling growth around the delta apex to quasi-linear growth near the coast. The unexpected growth patterns suggest that global simplicity and local variability coexist in how river deltas grow and organize. Editor's summary: A river's branching tributary network follows a power-law scaling relationship called Hack's law, in which the area of a drainage basin can be predicted by the length of its longest tributary channel. At a river's delta, distributary channels disperse in a similarly fractal way, yet a comparable scaling relationship has been elusive. Looking globally, however, Dong et al. extracted a nearly identical power-law relationship between distributary channel length and a delta's land-building area. A Hack's law for deltas that has defined local scaling variability provides a formula for understanding how deltas grow, change, and can be restored. —Angela Hessler [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Science is the property of American Association for the Advancement of Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1126/science.ady6805
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        Text: English
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        Type: general
      – SubjectFull: Scaling laws (Statistical physics)
        Type: general
      – SubjectFull: Landscapes
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      – SubjectFull: Sedimentation & deposition
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              Text: 4/30/2026
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              Y: 2026
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