Brief communication: Possible explanation of the values of Hack's drainage basin, river length scaling exponent

Hunt, Allen G.

doi:https://doi.org/10.5194/npg-23-91-2016

Articles | Volume 23, issue 2

https://doi.org/10.5194/npg-23-91-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

https://doi.org/10.5194/npg-23-91-2016

© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 23, issue 2

Brief communication

|

06 Apr 2016

Brief communication |

| 06 Apr 2016

Brief communication: Possible explanation of the values of Hack's drainage basin, river length scaling exponent

Allen G. Hunt

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Apr 2017	20	11	0	31
May 2017	26	8	0	34
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Jul 2017	12	8	1	21
Aug 2017	7	8	3	18
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Nov 2017	6	10	0	16
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Jan 2018	22	16	8	46
Feb 2018	12	9	2	23
Mar 2018	17	13	4	34
Apr 2018	18	9	6	33
May 2018	12	7	3	22
Jun 2018	14	17	3	34
Jul 2018	18	11	2	31
Aug 2018	15	7	4	26
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Oct 2018	9	11	4	24
Nov 2018	14	10	3	27
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Jan 2019	13	14	3	30
Feb 2019	22	11	1	34
Mar 2019	13	17	2	32
Apr 2019	12	8	2	22
May 2019	11	15	2	28
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Dec 2019	7	18	1	26
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Feb 2020	10	7	0	17
Mar 2020	9	17	3	29
Apr 2020	4	7	0	11
May 2020	10	14	2	26
Jun 2020	22	19	1	42
Jul 2020	22	34	13	69
Aug 2020	5	9	10	24
Sep 2020	8	14	3	25
Oct 2020	9	26	6	41
Nov 2020	3	15	3	21
Dec 2020	10	11	4	25
Jan 2021	11	19	4	34
Feb 2021	11	18	4	33
Mar 2021	2	10	4	16
Apr 2021	8	14	5	27
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Jun 2021	5	5	1	11
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Oct 2021	3	45	0	48
Nov 2021	6	23	2	31
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Mar 2022	6	8	0	14
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Jun 2022	7	7	4	18
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Aug 2022	7	8	0	15
Sep 2022	4	3	0	7
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Apr 2023	8	1	0	9
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Cumulative views and downloads (calculated since 18 Aug 2015)

Month	HTML	PDF	XML	Total
Aug 2015	17	59	14	90
Sep 2015	14	34	7	55
Oct 2015	11	4	2	17
Nov 2015	19	7	2	28
Dec 2015	12	5	0	17
Jan 2016	9	4	0	13
Feb 2016	4	5	0	9
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Apr 2016	81	19	0	100
May 2016	45	15	0	60
Jun 2016	10	3	2	15
Jul 2016	6	9	2	17
Aug 2016	6	8	0	14
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Oct 2016	7	4	2	13
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Dec 2016	6	4	1	11
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Feb 2017	5	1	0	6
Mar 2017	19	10	1	30
Apr 2017	20	11	0	31
May 2017	26	8	0	34
Jun 2017	16	3	1	20
Jul 2017	12	8	1	21
Aug 2017	7	8	3	18
Sep 2017	9	7	1	17
Oct 2017	8	5	1	14
Nov 2017	6	10	0	16
Dec 2017	16	9	2	27
Jan 2018	22	16	8	46
Feb 2018	12	9	2	23
Mar 2018	17	13	4	34
Apr 2018	18	9	6	33
May 2018	12	7	3	22
Jun 2018	14	17	3	34
Jul 2018	18	11	2	31
Aug 2018	15	7	4	26
Sep 2018	13	14	5	32
Oct 2018	9	11	4	24
Nov 2018	14	10	3	27
Dec 2018	14	12	2	28
Jan 2019	13	14	3	30
Feb 2019	22	11	1	34
Mar 2019	13	17	2	32
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Jun 2019	9	19	5	33
Jul 2019	12	12	1	25
Aug 2019	9	16	1	26
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Oct 2019	7	8	1	16
Nov 2019	4	9	0	13
Dec 2019	7	18	1	26
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Mar 2020	9	17	3	29
Apr 2020	4	7	0	11
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Jun 2020	22	19	1	42
Jul 2020	22	34	13	69
Aug 2020	5	9	10	24
Sep 2020	8	14	3	25
Oct 2020	9	26	6	41
Nov 2020	3	15	3	21
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Jan 2021	11	19	4	34
Feb 2021	11	18	4	33
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Oct 2022	6	8	3	17
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Apr 2023	8	1	0	9
May 2023	19	7	0	26
Jun 2023	26	3	1	30
Jul 2023	9	5	0	14
Aug 2023	8	1	1	10
Sep 2023	4	8	0	12
Oct 2023	0

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Short summary

Percolation theory can be used to find flow paths of least resistance. Applying percolation theory to drainage networks apparently allows identification of the range of exponent values describing the tortuosity of rivers in real networks, thus generating observed scaling between drainage basin area and channel length, a relationship known as Hack's law. Such a theoretical basis for Hack's law may allow interpretation of the range of exponent values based on assessment of substrate heterogeneity.

Brief communication: Possible explanation of the values of Hack's drainage basin, river length scaling exponent

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