Probability density functions of the stream flow discharge in linearized diffusion wave models
•The stochastic nature of stream flow discharge is quantified by the probability density function.•The variability of flow field is induced by random fluctuations of the lateral inflow process in time.•The effects of the wave celerity and the temporal correlation scale of inflow process are analyzed...
Saved in:
| Published in | Journal of hydrology (Amsterdam) Vol. 543; pp. 625 - 629 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.12.2016
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | •The stochastic nature of stream flow discharge is quantified by the probability density function.•The variability of flow field is induced by random fluctuations of the lateral inflow process in time.•The effects of the wave celerity and the temporal correlation scale of inflow process are analyzed.
This article considers stream flow discharge moving through channels subject to the lateral inflow and described by a linearized diffusion wave equation. The variability of lateral inflow is manifested by random fluctuations in time, which is the only source of uncertainty as to flow discharge quantification. The stochastic nature of stream flow discharge is described by the probability density function (PDF) obtained using the theory of distributions. The PDF of the stream flow discharge depends on the hydraulic properties of the stream flow, such as the wave celerity and hydraulic diffusivity as well as the temporal correlation scale of the lateral inflow rate fluctuations. The focus in this analysis is placed on the influence of the temporal correlation scale and the wave celerity coefficient on the PDF of the flow discharge. The analysis demonstrates that a larger temporal correlation scale causes an increase of PDF of the lateral inflow rate and, in turn, the PDF of the flow discharge which is also affected positively by the wave celerity coefficient. |
|---|---|
| AbstractList | •The stochastic nature of stream flow discharge is quantified by the probability density function.•The variability of flow field is induced by random fluctuations of the lateral inflow process in time.•The effects of the wave celerity and the temporal correlation scale of inflow process are analyzed.
This article considers stream flow discharge moving through channels subject to the lateral inflow and described by a linearized diffusion wave equation. The variability of lateral inflow is manifested by random fluctuations in time, which is the only source of uncertainty as to flow discharge quantification. The stochastic nature of stream flow discharge is described by the probability density function (PDF) obtained using the theory of distributions. The PDF of the stream flow discharge depends on the hydraulic properties of the stream flow, such as the wave celerity and hydraulic diffusivity as well as the temporal correlation scale of the lateral inflow rate fluctuations. The focus in this analysis is placed on the influence of the temporal correlation scale and the wave celerity coefficient on the PDF of the flow discharge. The analysis demonstrates that a larger temporal correlation scale causes an increase of PDF of the lateral inflow rate and, in turn, the PDF of the flow discharge which is also affected positively by the wave celerity coefficient. This article considers stream flow discharge moving through channels subject to the lateral inflow and described by a linearized diffusion wave equation. The variability of lateral inflow is manifested by random fluctuations in time, which is the only source of uncertainty as to flow discharge quantification. The stochastic nature of stream flow discharge is described by the probability density function (PDF) obtained using the theory of distributions. The PDF of the stream flow discharge depends on the hydraulic properties of the stream flow, such as the wave celerity and hydraulic diffusivity as well as the temporal correlation scale of the lateral inflow rate fluctuations. The focus in this analysis is placed on the influence of the temporal correlation scale and the wave celerity coefficient on the PDF of the flow discharge. The analysis demonstrates that a larger temporal correlation scale causes an increase of PDF of the lateral inflow rate and, in turn, the PDF of the flow discharge which is also affected positively by the wave celerity coefficient. |
| Author | Yeh, Hund-Der Chang, Ching-Min |
| Author_xml | – sequence: 1 givenname: Ching-Min surname: Chang fullname: Chang, Ching-Min – sequence: 2 givenname: Hund-Der surname: Yeh fullname: Yeh, Hund-Der email: hdyeh@mail.nctu.edu.tw |
| BookMark | eNqFkE1PAyEQhonRxPrxE0w4etnKwu6yjQdjjF9JEz3oVcLCYGkoKFCb-utlU09e5DLhZZ4J8xyhfR88IHRWk2lN6u5iOV0utjoGN6XlWrIpYWwPTeqezyrKCd9HE0Iorepu1hyio5SWpBzGmgl6e45hkIN1Nm-xBp_GatZeZRt8wsHgvACccgS5wsaFDdY2qYWM74Ctx856kNF-gy65MetUKLyRX4BXQYNLJ-jASJfg9Lceo9e725ebh2r-dP94cz2vFGtorpSsTcuVJr3qG9m1WnemUVSzoTecD7qVrKa0A26oYXxW3lTTmpkZWsp6qYEdo_Pd3I8YPteQsliVb4Jz0kNYJ0HHfQnreVdaL3etKoaUIhihbJbjujlK60RNxGhVLMWvVTFaHeNirNDtH_oj2pWM23-5qx1XpMCXhSiSsuAVaBtBZaGD_WfCDzcsmeg |
| CitedBy_id | crossref_primary_10_1016_j_jhydrol_2018_06_026 |
| Cites_doi | 10.1061/(ASCE)HE.1943-5584.0000425 10.1111/j.2517-6161.1965.tb01488.x 10.1029/2002WR001802 10.1029/2008WR007225 10.1016/j.advwatres.2005.08.008 10.1016/j.apm.2011.11.045 10.1061/(ASCE)0733-9429(1985)111:3(435) 10.1016/j.jhydrol.2015.01.070 10.1016/j.jhydrol.2014.05.037 10.1016/j.jhydrol.2014.08.038 10.1061/JYCEAJ.0004958 10.1063/1.863425 10.1175/1520-0442(1996)009<1251:ASOTSE>2.0.CO;2 10.1090/S0002-9904-1952-09555-0 10.1016/0022-460X(67)90160-5 10.1016/j.jcp.2012.07.030 10.1016/S0022-1694(00)00422-4 10.1016/j.jhydrol.2015.06.043 10.1061/(ASCE)HE.1943-5584.0000298 10.1016/j.jconhyd.2010.08.009 |
| ContentType | Journal Article |
| Copyright | 2016 Elsevier B.V. |
| Copyright_xml | – notice: 2016 Elsevier B.V. |
| DBID | AAYXX CITATION 7S9 L.6 |
| DOI | 10.1016/j.jhydrol.2016.10.033 |
| DatabaseName | CrossRef AGRICOLA AGRICOLA - Academic |
| DatabaseTitle | CrossRef AGRICOLA AGRICOLA - Academic |
| DatabaseTitleList | AGRICOLA |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Geography |
| EISSN | 1879-2707 |
| EndPage | 629 |
| ExternalDocumentID | 10_1016_j_jhydrol_2016_10_033 S0022169416306783 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29K 4.4 457 4G. 5GY 5VS 6TJ 7-5 71M 8P~ 9JM 9JN AABNK AABVA AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALCJ AALRI AAOAW AAQFI AAQXK AATLK AAXUO ABEFU ABFNM ABGRD ABJNI ABMAC ABQEM ABQYD ABTAH ABXDB ABYKQ ACDAQ ACGFS ACIUM ACLVX ACNCT ACRLP ACSBN ADBBV ADEZE ADMUD ADQTV AEBSH AEKER AENEX AEQOU AFFNX AFKWA AFTJW AFXIZ AGHFR AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG ATOGT AVWKF AXJTR AZFZN BKOJK BLXMC CBWCG CS3 D-I DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FA8 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HLV HMA HVGLF HZ~ H~9 IHE IMUCA J1W K-O KOM LW9 LY3 M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SAB SCC SDF SDG SDP SEP SES SEW SPC SPCBC SPD SSA SSE SSZ T5K TN5 UQL VOH WUQ Y6R ZCA ZMT ZY4 ~02 ~G- ~KM AAHBH AATTM AAXKI AAYWO AAYXX ABWVN ACRPL ACVFH ADCNI ADNMO ADVLN AEIPS AEUPX AFJKZ AFPUW AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION SSH 7S9 EFKBS L.6 |
| ID | FETCH-LOGICAL-c342t-ca1f57cd08c84a65dd6f4c2d3b8f77bd5a31226e7f2f379f4cc45f9fb5238ade3 |
| IEDL.DBID | .~1 |
| ISSN | 0022-1694 |
| IngestDate | Tue Aug 05 10:18:30 EDT 2025 Thu Apr 24 23:01:08 EDT 2025 Tue Jul 01 03:07:37 EDT 2025 Fri Feb 23 02:27:01 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Probability density function Stochastic analysis Stream flow discharge Lateral inflow |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c342t-ca1f57cd08c84a65dd6f4c2d3b8f77bd5a31226e7f2f379f4cc45f9fb5238ade3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| PQID | 2000303876 |
| PQPubID | 24069 |
| PageCount | 5 |
| ParticipantIDs | proquest_miscellaneous_2000303876 crossref_citationtrail_10_1016_j_jhydrol_2016_10_033 crossref_primary_10_1016_j_jhydrol_2016_10_033 elsevier_sciencedirect_doi_10_1016_j_jhydrol_2016_10_033 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | December 2016 2016-12-00 20161201 |
| PublicationDateYYYYMMDD | 2016-12-01 |
| PublicationDate_xml | – month: 12 year: 2016 text: December 2016 |
| PublicationDecade | 2010 |
| PublicationTitle | Journal of hydrology (Amsterdam) |
| PublicationYear | 2016 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Abaza, Anctil, Fortin, Turcotte (b0005) 2014; 519 Jencso, McGlynn, Gooseff, Wondzell, Bencala, Marshall (b0050) 2009; 45 Ross (b0105) 1972 Pope (b0090) 2000 Ponce, Li, Simons (b0075) 1978; 104 Bell, Kundu (b0010) 1996; 9 Schwartz (b0115) 1952; 58 Dooge, Napiorkowski (b0020) 1984; 32 Gardiner (b0040) 1985 Priestley (b0095) 1965; 27 Mays (b0070) 2001 Fan, Li (b0035) 2006; 29 Priestley (b0100) 1967; 6 Chang, Yeh (b2500) 2014; 517 Ercan, Kavvas (b0030) 2012; 17 Kundu, Bell (b0065) 2003; 39 Zhao, Wang, Bennett, Robertson, Shao, Zhao (b0145) 2015; 528 Kazezyılmaz-Alhan (b0060) 2012; 36 Ponce (b0080) 1989 Wang, Tartakovsky (b0135) 2012; 231 Henderson (b0045) 1966 Tartakovsky, Broyda (b0125) 2011; 120–121 Bonaccorso, Cancelliere, Rossi (b0015) 2015; 526 Tingsanchali, Manandhar (b0130) 1985; 111 Yen, Tsai (b0140) 2001; 244 Dooge, Napiorkowski (b0025) 1987; 35 Singh (b0120) 1996 Scharffenberg, Kavvas (b0110) 2011; 16 Kanwal (b0055) 1997 Pope (b0085) 1981; 24 Dooge (10.1016/j.jhydrol.2016.10.033_b0020) 1984; 32 Wang (10.1016/j.jhydrol.2016.10.033_b0135) 2012; 231 Yen (10.1016/j.jhydrol.2016.10.033_b0140) 2001; 244 Ponce (10.1016/j.jhydrol.2016.10.033_b0075) 1978; 104 Zhao (10.1016/j.jhydrol.2016.10.033_b0145) 2015; 528 Jencso (10.1016/j.jhydrol.2016.10.033_b0050) 2009; 45 Kanwal (10.1016/j.jhydrol.2016.10.033_b0055) 1997 Ercan (10.1016/j.jhydrol.2016.10.033_b0030) 2012; 17 Abaza (10.1016/j.jhydrol.2016.10.033_b0005) 2014; 519 Ponce (10.1016/j.jhydrol.2016.10.033_b0080) 1989 Ross (10.1016/j.jhydrol.2016.10.033_b0105) 1972 Tartakovsky (10.1016/j.jhydrol.2016.10.033_b0125) 2011; 120–121 Kundu (10.1016/j.jhydrol.2016.10.033_b0065) 2003; 39 Fan (10.1016/j.jhydrol.2016.10.033_b0035) 2006; 29 Henderson (10.1016/j.jhydrol.2016.10.033_b0045) 1966 Dooge (10.1016/j.jhydrol.2016.10.033_b0025) 1987; 35 Gardiner (10.1016/j.jhydrol.2016.10.033_b0040) 1985 Pope (10.1016/j.jhydrol.2016.10.033_b0085) 1981; 24 Pope (10.1016/j.jhydrol.2016.10.033_b0090) 2000 Mays (10.1016/j.jhydrol.2016.10.033_b0070) 2001 Priestley (10.1016/j.jhydrol.2016.10.033_b0100) 1967; 6 Priestley (10.1016/j.jhydrol.2016.10.033_b0095) 1965; 27 Schwartz (10.1016/j.jhydrol.2016.10.033_b0115) 1952; 58 Singh (10.1016/j.jhydrol.2016.10.033_b0120) 1996 Tingsanchali (10.1016/j.jhydrol.2016.10.033_b0130) 1985; 111 Chang (10.1016/j.jhydrol.2016.10.033_b2500) 2014; 517 Bell (10.1016/j.jhydrol.2016.10.033_b0010) 1996; 9 Kazezyılmaz-Alhan (10.1016/j.jhydrol.2016.10.033_b0060) 2012; 36 Bonaccorso (10.1016/j.jhydrol.2016.10.033_b0015) 2015; 526 Scharffenberg (10.1016/j.jhydrol.2016.10.033_b0110) 2011; 16 |
| References_xml | – volume: 9 start-page: 1251 year: 1996 end-page: 1268 ident: b0010 article-title: A Study of the sampling error in satellite rainfall estimates using optimal averaging of data and a stochastic model publication-title: J. Clim. – volume: 36 start-page: 4165 year: 2012 end-page: 4172 ident: b0060 article-title: An improved solution for diffusion waves to overland flow publication-title: Appl. Math. Model. – volume: 45 start-page: W04428 year: 2009 ident: b0050 article-title: Hydrologic connectivity between landscapes and streams: Transferring reach- and plot-scale understanding to the catchment scale publication-title: Water Resour. Res. – year: 1997 ident: b0055 article-title: Generalized Functions: Theory and Technique – year: 2000 ident: b0090 article-title: Turbulent Flow – volume: 231 start-page: 7868 year: 2012 end-page: 7880 ident: b0135 article-title: Uncertainty quantification in kinematic-wave models publication-title: J. Comput. Phys. – volume: 120–121 start-page: 129 year: 2011 end-page: 140 ident: b0125 article-title: PDF equations for advective-reactive transport in heterogeneous porous media with uncertain properties publication-title: J. Contam. Hydrol. – volume: 517 start-page: 246 year: 2014 end-page: 249 ident: b2500 article-title: Variability of stream flow discharge in response to self-similar random fields of temporal fluctuations in lateral inflow rate publication-title: J Hydrol. – volume: 27 start-page: 204 year: 1965 end-page: 237 ident: b0095 article-title: Evolutionary spectra and non-stationary processes publication-title: J. Roy. Stat. Soc. Ser. B – volume: 6 start-page: 86 year: 1967 end-page: 97 ident: b0100 article-title: Power spectral analysis of non-stationary random processes publication-title: J. Sound. Vib. – year: 1985 ident: b0040 article-title: Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences – volume: 32 start-page: 363 year: 1984 end-page: 373 ident: b0020 article-title: Effect of downstream control in diffusion routing publication-title: Acta Geophys. Polon. – volume: 29 start-page: 1000 year: 2006 end-page: 1019 ident: b0035 article-title: Diffusive wave solutions for open channel flows with uniform and concentrated lateral inflow publication-title: Adv. Water Resour. – volume: 24 start-page: 588 year: 1981 end-page: 596 ident: b0085 article-title: Transport equation for the joint probability density function of velocity and scalars in turbulent flow publication-title: Phys. Fluids – year: 1996 ident: b0120 article-title: Kinematic Wave Modeling in Water Resources-Surface Water Hydrology – volume: 244 start-page: 97 year: 2001 end-page: 104 ident: b0140 article-title: On noninertia wave versus diffusion wave in flood routing publication-title: J. Hydrol. – volume: 35 start-page: 66 year: 1987 end-page: 75 ident: b0025 article-title: Applicability of diffusion analogy in flood routing publication-title: Acta Geophys. Polon. – volume: 528 start-page: 329 year: 2015 end-page: 340 ident: b0145 article-title: Quantifying predictive uncertainty of streamflow forecasts based on a Bayesian joint probability model publication-title: J. Hydrol. – volume: 519 start-page: 2692 year: 2014 end-page: 2706 ident: b0005 article-title: Sequential streamflow assimilation for short-term hydrological ensemble forecasting publication-title: J. Hydrol. – year: 1972 ident: b0105 article-title: Introduction to Probability Models – year: 1989 ident: b0080 article-title: Engineering Hydrology: Principles and Practice – volume: 104 start-page: 353 year: 1978 end-page: 360 ident: b0075 article-title: Applicability of kinematic and diffusion models publication-title: J. Hydraul. Div., ASCE – volume: 16 start-page: 165 year: 2011 end-page: 175 ident: b0110 article-title: Uncertainty in flood wave routing in a lateral-inflow-dominated stream publication-title: J. Hydrol. Eng. – year: 1966 ident: b0045 article-title: Open Channel Flow – volume: 58 start-page: 78 year: 1952 end-page: 85 ident: b0115 article-title: Théorie des distributions publication-title: Bull. Am. Math. Soc. – volume: 17 start-page: 168 year: 2012 end-page: 181 ident: b0030 article-title: Ensemble modeling of hydrologic and hydraulic processes at one shot: Application to kinematic open-channel flow under uncertain channel properties by the stochastic method of characteristics publication-title: J. Hydrol. Eng. – volume: 111 start-page: 435 year: 1985 end-page: 454 ident: b0130 article-title: Analytical diffusion model for flood routing publication-title: J. Hydr. Eng., ASCE – volume: 39 start-page: 1328 year: 2003 ident: b0065 article-title: A stochastic model of space-time variability of mesoscale rainfall: statistics of spatial averages publication-title: Water Resour. Res. – year: 2001 ident: b0070 article-title: Water Resources Engineering – volume: 526 start-page: 136 year: 2015 end-page: 150 ident: b0015 article-title: Probabilistic forecasting of drought class transitions in Sicily (Italy) using Standardized Precipitation Index and North Atlantic Oscillation Index publication-title: J. Hydrol. – volume: 17 start-page: 168 issue: 1 year: 2012 ident: 10.1016/j.jhydrol.2016.10.033_b0030 article-title: Ensemble modeling of hydrologic and hydraulic processes at one shot: Application to kinematic open-channel flow under uncertain channel properties by the stochastic method of characteristics publication-title: J. Hydrol. Eng. doi: 10.1061/(ASCE)HE.1943-5584.0000425 – volume: 27 start-page: 204 year: 1965 ident: 10.1016/j.jhydrol.2016.10.033_b0095 article-title: Evolutionary spectra and non-stationary processes publication-title: J. Roy. Stat. Soc. Ser. B doi: 10.1111/j.2517-6161.1965.tb01488.x – volume: 39 start-page: 1328 issue: 12 year: 2003 ident: 10.1016/j.jhydrol.2016.10.033_b0065 article-title: A stochastic model of space-time variability of mesoscale rainfall: statistics of spatial averages publication-title: Water Resour. Res. doi: 10.1029/2002WR001802 – volume: 35 start-page: 66 issue: 1 year: 1987 ident: 10.1016/j.jhydrol.2016.10.033_b0025 article-title: Applicability of diffusion analogy in flood routing publication-title: Acta Geophys. Polon. – year: 1996 ident: 10.1016/j.jhydrol.2016.10.033_b0120 – volume: 32 start-page: 363 issue: 4 year: 1984 ident: 10.1016/j.jhydrol.2016.10.033_b0020 article-title: Effect of downstream control in diffusion routing publication-title: Acta Geophys. Polon. – volume: 45 start-page: W04428 year: 2009 ident: 10.1016/j.jhydrol.2016.10.033_b0050 article-title: Hydrologic connectivity between landscapes and streams: Transferring reach- and plot-scale understanding to the catchment scale publication-title: Water Resour. Res. doi: 10.1029/2008WR007225 – year: 1985 ident: 10.1016/j.jhydrol.2016.10.033_b0040 – volume: 29 start-page: 1000 issue: 7 year: 2006 ident: 10.1016/j.jhydrol.2016.10.033_b0035 article-title: Diffusive wave solutions for open channel flows with uniform and concentrated lateral inflow publication-title: Adv. Water Resour. doi: 10.1016/j.advwatres.2005.08.008 – year: 1972 ident: 10.1016/j.jhydrol.2016.10.033_b0105 – volume: 36 start-page: 4165 issue: 9 year: 2012 ident: 10.1016/j.jhydrol.2016.10.033_b0060 article-title: An improved solution for diffusion waves to overland flow publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2011.11.045 – year: 2000 ident: 10.1016/j.jhydrol.2016.10.033_b0090 – year: 1966 ident: 10.1016/j.jhydrol.2016.10.033_b0045 – volume: 111 start-page: 435 issue: 3 year: 1985 ident: 10.1016/j.jhydrol.2016.10.033_b0130 article-title: Analytical diffusion model for flood routing publication-title: J. Hydr. Eng., ASCE doi: 10.1061/(ASCE)0733-9429(1985)111:3(435) – volume: 526 start-page: 136 year: 2015 ident: 10.1016/j.jhydrol.2016.10.033_b0015 article-title: Probabilistic forecasting of drought class transitions in Sicily (Italy) using Standardized Precipitation Index and North Atlantic Oscillation Index publication-title: J. Hydrol. doi: 10.1016/j.jhydrol.2015.01.070 – volume: 517 start-page: 246 year: 2014 ident: 10.1016/j.jhydrol.2016.10.033_b2500 article-title: Variability of stream flow discharge in response to self-similar random fields of temporal fluctuations in lateral inflow rate publication-title: J Hydrol. doi: 10.1016/j.jhydrol.2014.05.037 – volume: 519 start-page: 2692 year: 2014 ident: 10.1016/j.jhydrol.2016.10.033_b0005 article-title: Sequential streamflow assimilation for short-term hydrological ensemble forecasting publication-title: J. Hydrol. doi: 10.1016/j.jhydrol.2014.08.038 – volume: 104 start-page: 353 issue: 3 year: 1978 ident: 10.1016/j.jhydrol.2016.10.033_b0075 article-title: Applicability of kinematic and diffusion models publication-title: J. Hydraul. Div., ASCE doi: 10.1061/JYCEAJ.0004958 – year: 1989 ident: 10.1016/j.jhydrol.2016.10.033_b0080 – volume: 24 start-page: 588 issue: 4 year: 1981 ident: 10.1016/j.jhydrol.2016.10.033_b0085 article-title: Transport equation for the joint probability density function of velocity and scalars in turbulent flow publication-title: Phys. Fluids doi: 10.1063/1.863425 – volume: 9 start-page: 1251 issue: 6 year: 1996 ident: 10.1016/j.jhydrol.2016.10.033_b0010 article-title: A Study of the sampling error in satellite rainfall estimates using optimal averaging of data and a stochastic model publication-title: J. Clim. doi: 10.1175/1520-0442(1996)009<1251:ASOTSE>2.0.CO;2 – volume: 58 start-page: 78 year: 1952 ident: 10.1016/j.jhydrol.2016.10.033_b0115 article-title: Théorie des distributions publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0002-9904-1952-09555-0 – year: 2001 ident: 10.1016/j.jhydrol.2016.10.033_b0070 – volume: 6 start-page: 86 year: 1967 ident: 10.1016/j.jhydrol.2016.10.033_b0100 article-title: Power spectral analysis of non-stationary random processes publication-title: J. Sound. Vib. doi: 10.1016/0022-460X(67)90160-5 – volume: 231 start-page: 7868 issue: 23 year: 2012 ident: 10.1016/j.jhydrol.2016.10.033_b0135 article-title: Uncertainty quantification in kinematic-wave models publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2012.07.030 – volume: 244 start-page: 97 issue: 1–2 year: 2001 ident: 10.1016/j.jhydrol.2016.10.033_b0140 article-title: On noninertia wave versus diffusion wave in flood routing publication-title: J. Hydrol. doi: 10.1016/S0022-1694(00)00422-4 – year: 1997 ident: 10.1016/j.jhydrol.2016.10.033_b0055 – volume: 528 start-page: 329 year: 2015 ident: 10.1016/j.jhydrol.2016.10.033_b0145 article-title: Quantifying predictive uncertainty of streamflow forecasts based on a Bayesian joint probability model publication-title: J. Hydrol. doi: 10.1016/j.jhydrol.2015.06.043 – volume: 16 start-page: 165 issue: 2 year: 2011 ident: 10.1016/j.jhydrol.2016.10.033_b0110 article-title: Uncertainty in flood wave routing in a lateral-inflow-dominated stream publication-title: J. Hydrol. Eng. doi: 10.1061/(ASCE)HE.1943-5584.0000298 – volume: 120–121 start-page: 129 year: 2011 ident: 10.1016/j.jhydrol.2016.10.033_b0125 article-title: PDF equations for advective-reactive transport in heterogeneous porous media with uncertain properties publication-title: J. Contam. Hydrol. doi: 10.1016/j.jconhyd.2010.08.009 |
| SSID | ssj0000334 |
| Score | 2.2006369 |
| Snippet | •The stochastic nature of stream flow discharge is quantified by the probability density function.•The variability of flow field is induced by random... This article considers stream flow discharge moving through channels subject to the lateral inflow and described by a linearized diffusion wave equation. The... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 625 |
| SubjectTerms | diffusivity equations Lateral inflow Probability density function probability distribution Stochastic analysis stream flow Stream flow discharge uncertainty |
| Title | Probability density functions of the stream flow discharge in linearized diffusion wave models |
| URI | https://dx.doi.org/10.1016/j.jhydrol.2016.10.033 https://www.proquest.com/docview/2000303876 |
| Volume | 543 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF6KHvQiPrE-ygpe0zbZzWZ7LMVSFYsHCz0Z9klbalL6sNSDv92dNLEoSMFTyCYbwuzszLe738wgdBtK3xIO-27WZx4lgfaErFuPCGkE1w0rLSwUn7qs06MP_bBfQq0iFgZolbntX9v0zFrnLbVcmrXJcAgxvkHgQxwmA9jLIeMnpRFoefVzQ_OoE0KLjOHw9iaKpzaqjgYrPU3hBMJnVSB5EfKXf_plqTP30z5EBzluxM31rx2hkkmO0V5ewnywOkGvz1M3NTOq6wproKW7K3itTLFwarGDehhCQ8QbtuN0iSEgF_IkGTxMMKBNt2z-MBpDzZQFbKLhpXg3OKuVMztFvfbdS6vj5cUTPEVoMPeU8G0YKV3nilPBQq2ZpSrQRHIbRVKHgvgOepnIBpZEDfdM0dC6sXErUy60IWdoJ0kTc46wz5TDVZBAlBuqVSQJpYpqyXwjCFO0jGghsljlmcWhwMU4LihkoziXdAyShmYn6TKqfnebrFNrbOvAi_GIf-hI7Mz_tq43xfjFbv7AoYhITLqYQRlOZ-eIcwoX___8JdqHuzXN5QrtzKcLc-3AylxWMm2soN3m_WOn-wUnSuy7 |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSwMxEA4-DnoRn1ifEbxu291ks-lRRKnaFg8VPLnkSVvqbunDUg_-djP7sCiI4Gkh2SzLTDLzJZmZD6HLUPqWcDh3sz7zKAm0J2TdekRII7huWGlho9jusOYTvX8On1fQdZkLA2GVhe3PbXpmrYuWWiHN2qjfhxzfIPAhD5MB7OVkFa1Tt3yBxqD6sYzzqBNCy5Lh8Poyjac2qA56Cz1O4QrCZ1WI8iLkNwf1w1Rn_ud2G20VwBFf5f-2g1ZMsos2Cg7z3mIPvTyO3drMYl0XWENcunuC28pmFk4tdlgPQ26IeMV2mM4xZORCoSSD-wkGuOn2ze9GYyBNmcEpGp6LN4MzspzJPnq6veleN72CPcFThAZTTwnfhpHSda44FSzUmlmqAk0kt1EkdSiI77CXiWxgSdRwfYqG1inHbU250IYcoLUkTcwhwj5TDlhBBVFuqFaRJJQqqiXzjSBM0QqipchiVZQWB4aLYVzGkA3iQtIxSBqanaQrqPo1bJTX1vhrAC_1EX-bJLGz_38NvSj1F7sFBLciIjHpbAI8nM7QEecVjv7_-XO00ey2W3HrrvNwjDahJ495OUFr0_HMnDrkMpVn2cz8BJfo7kk |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Probability+density+functions+of+the+stream+flow+discharge+in+linearized+diffusion+wave+models&rft.jtitle=Journal+of+hydrology+%28Amsterdam%29&rft.au=Chang%2C+Ching-Min&rft.au=Yeh%2C+Hund-Der&rft.date=2016-12-01&rft.issn=0022-1694&rft.volume=543&rft.spage=625&rft.epage=629&rft_id=info:doi/10.1016%2Fj.jhydrol.2016.10.033&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_jhydrol_2016_10_033 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-1694&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-1694&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-1694&client=summon |