JournalofHydrology(2007)343,187–202 available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/jhydrol Suspended sediment transport in a semiarid watershed, Wadi Abd, Algeria (1973–1995) Mohamed Achite a, Sylvain Ouillon b,* a LaboratoireEau-Environnement, Universite´ Hassiba Ben Bouali,Chlef, Algeria bInstitut de Recherchepour leDe´veloppement, IRDNoumea, BPA5, 98848Noumea, New Caledonia Received 28 July2006; received in revisedform21 June2007; accepted 25June 2007 KEYWORDS Summary A quantification of the fine sediment budget of a wadi (dryland river) in NW Watererosion; Algeriaispresentedforaperiodof22hydrologicalyears(1973–1995).TheclimateisMed- Suspendedsediment iterraneanovertheWadiAbdbasin(2480km2),themeanannualprecipitationis250mm concentration; and the mean annual discharge is 1.0m3s(cid:2)1 at the gauging station. Regression relation- Sediment transport; shipsbetweenwaterdischargeQandsuspendedsedimentconcentrationCarecalculated Rating curve; from1432pairedmeasurementsintheWadiAbd,leadingtopower-lawequations ofthe Wadi; type C=aQb. Thevariability of coefficients a andb, calculated for 138 floodsandflood Intermittent river; stages, is analyzed. The median value of b is 0.757, indicating that C is almost propor- Algeria tionaltoQ3/4.Giventhatthe(a,b)pairsarecorrectlyaligned(r2=0.578),thecoefficients a and b are not independent. Regression relationships between daily Q and daily sus- pended sediment concentration and discharge Q are calculated from 702 input data. s The performances of these regression relationships are shown to be equivalent, leading toover-estimationsof20–25%ofthesuspendedsedimentflux.Thenon-biasedC–Qsed- iment rating curve is used to extrapolate a time series of C measurements, and thus to analyze the long-term patterns in suspended sediment transport. Average sediment wash-down (136tkm(cid:2)2yr(cid:2)1) is similar to the mean global value. The ratio of sediment wash-downtotheriverwaterdischargeis10.7·106tkm3,20timesgreaterthantheaver- age ratio in the Earth’s eastern hemisphere, and illustrates the highly erosive power of wadis. Variability is shown to be significant at the seasonal scale (CV=89%) and higher at the interannual scale (CV=139%). The fine sediment flux mainly occurs in autumn (48.4%)andspring(32.7%).Althoughprecipitationdecreased,itwasmoreirregularfrom oneyeartoanotherovertheperiod1985–1995thanduringtheperiod1973–1985,andthe Wadi Abd, which was a perennial river, became intermittent in the late 1980s. This increasingirregularityisaccompaniedby:anamplificationofthevariationsofdischarge, anincreaseintheaveragedischargeofapproximately20%duringthesecondperiod,and a higher and more irregular suspended particulate flux. The mean annual suspended * Correspondingauthor.Tel.:+687260729;fax:+687264326. E-mailaddresses:[email protected](M.Achite),[email protected](S.Ouillon). 0022-1694/$-seefrontmatter ª2007ElsevierB.V.Allrightsreserved. doi:10.1016/j.jhydrol.2007.06.026 188 M. Achite,S.Ouillon sedimentyieldisshowntobehighlycorrelatedwiththestandarddeviationofmeandaily discharge calculated per year (r2=0.989). The highly significant interannual variability pointstothedifficultyofdefiningasuitableperiodtocalculateareferencevalueforsed- iment budgets. It also emphasizes the absolute necessity of continuing a series of mea- surementsoverlongertimeperiodstostudyfluctuationsinthecontextofclimatechange. ª2007 Elsevier B.V.All rights reserved. Introduction and the hydraulic potential by 2–5% per year (Kassoul et al., 1997). A correct estimation of the sediment volume The volume and types of particles eroded and transported carried by a river is therefore necessary for an adapted by the rivers exhibits great geographical and temporal var- water resources management strategy. A greater working iability. The stakes associated with erosion and particulate knowledge of long-term variations of sediment loads in a transport are numerous. These include impacts on ground variety of rivers is also necessary for an assessment of fertility, transfer, storage and fate of nutrients and con- the current trends in global land-ocean sediment transfer taminants, changes in water quality trends, aquatic habi- in the context of climate change (Walling and Fang, tats, silting up of channels, reservoirs and harbours, and 2003). Sediment transport is well documented in perennial reductions in hydroelectric equipment longevity (Williams, rivers in temperate or humid climates but is far less stud- 1989; Ouillon, 1998; Horowitz, 2003). In the Maghreb ied in dryland streams, also called wadis or oueds, despite (North Africa), problems essentially relate to the silting their known high transport efficiency (Reid and Laronne, up of the dams, which reduces the water storage capacity 1995). Table1 Targetedpapersrelevanttosedimenttransportinwadis Reference Riverbasinorregion Ephemeralor Durationof Suspensionand/ Maincontribution intermittent monitoring orbedload Schick(1977) Tunisia,Peru,Nile Both Review SutherlandandBryan(1990) Katiorin,Kenya Ephemeral 1year Suspension Particle-sizeanalysis ofsuspended sediment Laronneetal.(1994), Yatir,Negev Ephemeral Flashfloods Bedload Quantificationof ReidandLaronne(1995), bedload,armouring Powelletal.(2001) andbedloadgrainsize distribution ReidandFrostick(1997) Numerous Ephemeral Review Clappetal.(2000) Yael,Israel Ephemeral 33years Both Long-termsediment generationrates versussedimentyield Terfousetal.(2001) Mouilah,NWAlgeria Intermittent 16years Suspension Temporalvariability ofsedimenttransport Toua¨ıbiaetal.(2001) Haddad,Algeria Intermittent 22years Suspension Temporalvariability ofsedimenttransport Mina,Algeria AchiteandMeddi(2004) Haddad,Algeria Intermittent 22years Suspension Temporalvariability ofsedimenttransport Megnounifetal.(2003) Sebdou,NWAlgeria 5years Temporalvariability ofsedimenttransport Alexandrovetal.(2003a) Eshtemoa,Negev Ephemeral 6years Suspension Temporalvariability ofsedimenttransport BenkhaledandRemini(2003) Wahrane,Algeria Intermittent 13floods Suspension C–Qratingcurves Amosetal.(2004) Burdekin,Australia Intermittent 1flood Both Detailedsediment (15days) transportduringone flood CohenandLaronne(2005) Rahaf-Qanna’im,Israel Ephemeral Severalfloods Both Sedimenttransport duringhighdischarge events Alexandrovetal.(2007) Eshtemoa,Negev Ephemeral Suspension Relationshipbetween C–Qcurveandrainfall type Suspendedsediment transport in asemiarid watershed, Wadi Abd,Algeria (1973–1995) 189 Few studies have been published on sediment transport quick events is often difficult (Schick, 1977; Reid and Lar- in rivers in semiarid zones. Probst and Amiotte-Suchet onne, 1995; Serrat et al., 2001). For long observation peri- (1992), in their review of suspended sediment transported ods (>15 years), average annual suspended sediment yield by wadis in the Maghreb, underline the lack of available is equal to the arithmetic mean value of observed annual dataforsuchrivertypes.Otherreviewshavealsobeenpub- suspended sediment yield. lishedbySchick(1977),andAlhamidandReid(2002) anda In this paper, regression relationships are built between briefdescriptionoftheseandotherpapersisgiveninTable instantaneous and daily values of concentration and water 1. Nevertheless, data from these systems is still fragmen- discharge, and also between daily suspended sediment dis- tary and further study of both the quantification of solid chargeandwaterdischargefromdatacollectedatthegaug- transport in semiarid basins and itsvariability is clearly re- ingstation ofAinHamaraintheWadi Abdduringa22-year quired. Therefore, the purpose of this paper is to quantify period(1973–1995).Theseregressionsarediscussedwitha suspended sediment transport in a semiarid catchment primary focus on the coefficients involved in the sediment area,theWadiAbdbasininAlgeria,andtoanalyzeitstem- ratingcurveandtheirtemporalvariability.Asecondarydis- poralvariabilityovera22-yearperiod.WadiAbdisatribu- cussion focuses on the comparison of statistical perfor- tary of the Wadi Mina and contributes to the silting of the mances of C–Q and Q–Q relationships. The regressions s Sidi M’hamed Benouada dam. arecomparedtothosefromotherrivers,andarethenused For the gauged sites, suspended sediment yield is com- to (a) obtain a long-term estimate of suspended sediment puted from rating curves established from long-term mea- discharge from daily water discharge values at the gauging surement series (Walling, 1977; Ferguson, 1986; Jansson, station during the 1973–1995 period; and (b), analyze the 1996; Asselman, 2000; Achite, 2002; Horowitz, 2003). In variabilityofthemeansuspendedsedimentfluxatseasonal ungauged rivers, suspended sediment yield may be com- andinterannual scalesovera22-year period. puted from models where basic physiographic factors (cli- mate, soils and top cover) are taken into account Study area: the Wadi Abd (Poliakov,1935;Lopatin,1952;LisitisynaandAleksandrova, 1972;Merrittetal.,2003).IntheMediterraneanregion,the General information quantification of sediment transport by a river is rendered difficult by the temporal variability of water flow. In these The Wadi Abd basin is located in the north western part of semiarid environments, most of the river discharge occurs Algeria, draining an area of 2480km2 (Fig. 1). It is located during flash floods, and obtaining samples during these between 34(cid:2)400 N and 35(cid:2)250 N, and 0(cid:2)200 E and 1(cid:2)100 E. Figure1 TheWadiAbdcatchmentarea.AinHamaragaugingstationisstation3. 190 M. Achite,S.Ouillon 45 2.0 Table2 MaincharacteristicsoftheWadiAbdbasin Parameters Unit Value )mm 40 PWraetceipr idtaisticohnarge 1.6 1-s) BMMMaeiansxaiiinnmmuaeurmlmeevaeaeltleeiovvanattiioonn mmmkm2 21728314831890 (notipatiecipry 3200 10..28 3m(egrhacdsi MLeenagnthsloopfethgeramdaieinntwadi %km 01.1488 htlnoM 10 0.4 ertaW Drainagedensity kmkm(cid:2)2 3.70 0 0.0 S O N D J F M A M J J A Month The main physiographic characteristics are reported in Ta- Figure2 Variabilityofmeanmonthlyprecipitationandwater ble 2. The Wadi Abd is a tributary of the Wadi Mina; the discharge. (precipitation in S11, water discharge in 3, see Wadi Mina is a main tributary of the Wadi Chelif, Algeria’s locationsinFig.1). principal river. The basin can be divided into two major zones:mountains(MountsofSaidaintheSouthandMounts ofFrenda, Tiaret, inthe North), andthe plain ofMina. 350 2.5 TheWadiAbdhasbeenselectedforthisstudybecauseof 300 the availability of rainfall and hydrometric records. The m) 2.0 1-s) availablehydrologicaldataconsistsofthemeandailywater m( 250 3m cd(khisgacrmhgae(cid:2)r3g)(e.m(T3mhs3(cid:2)e1s)(cid:2)d1a)at,nadcohisnauscsipdbeeennedtnemdpersaoesvudiridmeemednetnbtycsotonhfcewenaNttareatritoidoninass-l notiatipciper 210500 11..05 (egrhcadsi Agencyof Hydraulic Resources (ANRH,Alger). yrlea 15000 Precipitation 0.5 ertWa Y Geology, vegetation and topography Water discharge 0 0 73/74 75/76 77/78 79/80 81/82 83/84 85/86 87/88 89/90 91/92 93/94 TheWadiAbdcatchmentareaispredominantlymadeupof UpperJurassic(marl-limestone,45.9%ofthesurface),large Figure3 Variabilityofannualprecipitationandmeanannual zonesof MiddleJurassic (calcareous andkarsticdolomites, waterdischarge.(precipitationinS11,waterdischargein3,see 20.2%)andPliocene (7.4%) (Achite, 1999). locationsinFig.1)Horizontallinesareaveragevalues. The Jurassic zone of the Southern basin is eroded and nearly 50% of its surface is covered by a varying density of vegetation.Theforestscover5.8%ofthiszone,mainlywith (Fig.3).Thisdemonstratesanamplificationofthemeanan- young plantations of Aleppo pines (Pinus halepensis). Two nualdischargecomparedtoannualprecipitation.Forexam- formsofscrubcover32%ofthecatchmentarea:scrubwith ple, although annual rainfall was approximately 20% higher PistaciaandOlea,andscrubwithTetraclinis.Inadditionto than average, mean yearly discharge varied between +61% the natural vegetation, the herbaceous vegetation mainly (1986–87) and +112% (1994–95). In contrast, lower than consistsofcerealcropswhichformtheprincipalpermanent average annual rainfall was accompanied by a highly dis- cultures(Kouri, 1993;Mahieddine, 1997). persedmean annualdischarge(see Fig. 3). Thebasinreliefexhibitsslopesbetween0.12%and0.25% Hydroclimatic fluctuations affected the basin producing on the Jurassic mountains (Achite, 1999). Water erosion is a wetter period from 1973 to 1980 and a drier period from mostly intensive in the northern and western mountainous 1981to1993(except1986and1990)(Fig.3).Itisofinterest partsof theWadi Abdbasin. toplacethisvariabilityinthecontextofalongertimescale and at a regional scale. An extensive comparison between Climate, rainfall and runoff the study area in North Africa and Central and West Africa during the second half of the 20th century shows that this TheclimateisMediterraneanandischaracterizedbyawet hydrological variability is consistent. Several researchers anddryseason.TherainyseasonisfromOctobertoMarch, (e.g. Laraque et al., 2001; L’Hote et al., 2002) show that and the dry season lasts from April to August/September discontinuities occurred on a 10-year scale since the (Fig.2).Annualprecipitationishighlyirregular,varyingbe- 1950s. There was a phase of surplus river discharge in the tween 174mmyr(cid:2)1 and 303mmyr(cid:2)1 (Fig. 3). Mean annual 1960s in Central Africa, a discontinuity at the beginning of precipitationis250mm,withacoefficientofvariation(de- the 1970s at the start of a period of dryness in the Sahel notedhereafterCVanddefinedastheratioofthestandard and lower discharge in Central Africa. This was followed deviation to the mean) of 17.6% between 1973–74 and by a second discontinuity, initiating a phase of further re- 1994–95.MeanannualdischargeattheAinHamaragauging duced discharge at the beginning of the 1980s in Central station (see location in Fig. 1 and data in Fig. 3) was Africa,whilethedrynesscontinuedintheSahel.IntheWadi 1.0m3s(cid:2)1forthesameperiodofobservation.Theinteran- Abdbasin,thereductioninannualprecipitationfrom1981– nualvariability,characterizedbyaCVof41%duringthe22- 82isclearcomparedtothepreviousyears:averageprecip- year period, was higher than that of yearly precipitation itationwas287mmyr(cid:2)1overtheperiod1973–74/1980–81 Suspendedsediment transport in asemiarid watershed, Wadi Abd,Algeria (1973–1995) 191 and 225mmyr(cid:2)1 over the period 1981–82/1993–94. 1994 dry phase of varying duration. Rivers that flow less than has been singled out as an anomalous year in the Sahel 20%oftheyearcanbeconsideredasephemeral,andthose (L’Hote et al., 2002) and in the Wadi Abd basin increases that flow between 20% and 80% as intermittent (Matthews, inprecipitationandflowweremeasuredduringtheautumn 1998). of 1994 andspring1995 (Fig.3). Theflow regime of theWadi Abdhas been studied from the daily river discharge at Ain Hamara station. From 1973 to 1985, water was always present in the Wadi except for Hydrological and suspended sediment data 12 daysin 1979–1980 and1day in 1981–1982. There were 51 days without any water in the Wadi in 1985–86, 0 in Suspended sediment concentrations (hereafter denoted C) 1986–87, 48 in 1987–88, 50 in 1988–89, 91 in 1989–90, weremeasuredintheWadiAbdatAinHamarastationdur- 102 in 1990–91, 60 in 1991–92, 109 in 1992–93, 117 in ing different hydrological conditions (low discharge to se- 1993–94 and96daysin 1994–95. vere flood events). During each sampling, the The Wadi Abd was thus a perennial river until the late instantaneous water discharge (hereafter denoted Q, ex- 1980’s and thereafter became an intermittent river, with pressed in m3s(cid:2)1)wasalso measured. anaverageof72.4daysover10yearswithnoflowperyear Atthegaugingstation,theriverflowsthroughinasingle (i.e.20%oftime).Thenumberofdayswithnoflowwentup 46m wide channel. The flow is generally measured with a and reached 96.8 days per year (26% of the year) over the winchbygaugingasectionover5–8verticalswithbetween last5consideredyears,i.e.from1990to95.Theheadwater 2 and 6 measurements per vertical. At night, during holi- tributaries ofthe Wadi Abdshowthe same water regime. days,orduringsomefloods,thedischargewasderivedfrom Independentlyofthemainstudy,whichfocusesonsedi- alimnimetricheightusingalocalabacus.Duringthe22con- mentfluxes,theobservationofachangingflowregimedur- sidered hydrological years, the Wadi Abd did not overflow ing the 1980s is an important result that needs to be the floodplain at thegauging station. emphasizedinthecontextofclimatechange.Thepossibil- Todetermine sedimentconcentrations, water wasman- ity that these observations were not artificially introduced uallysampledusingasimple0.5Lor1Ldipsample.Oneor bychangesinsamplingormeasurementmethodswasexam- twosamplesaretakenbymeasurementinthemiddleofthe ined.Waterflowregimeresultsfromthreeinter-dependent wadi and/or at its edge. Suspended matter concentrations factors:intrinsicnatural variability,anthropogenic impacts aredeterminedbyfiltrationofthesamplesonpre-weighted on the catchment (such as changes in agriculture, vegeta- fiberglass filters (0.45lm, Whatman GF/F), then dried and tion cover, irrigation), and climate change. In the Wadi weighed. The average concentration of the section is as- Abd basin, the changes in water flow regime were due to sumed to be the concentration. Other available long-term a very long period of drought beginning in the early 1980s data for the Algerian wadis were collected according to whichresultedfromclimatechangeoralong-termintrinsic thesameprotocol(Toua¨ıbiaetal.,2001;BenkhaledandRe- natural variability. mini, 2003; Megnounif et al., 2003). When the discharge flow exhibited little variation, only one sampling was per- Models and methods formed per day at noon. The sampling rate arbitrarily in- creased with the flow until reaching a sampling frequency every 15mnor30mnatthe peakof aflood. Suspendedsedimentdischarge,whichisequaltoCtimesQ, In our database (1973–1995, 1432 paired C and Q mea- is hereafter denoted Qs and is expressed in kgs(cid:2)1. Most surements), water discharge varied from 0.09m3s(cid:2)1 to quantitative studies of suspended sediment load are based 352m3s(cid:2)1 and C varied from 0.14kgm(cid:2)3 to 118.5kgm(cid:2)3. onanempiricalrelationshipbetweenCandQafterlogarith- Instantaneous flow was continuously recorded at Ain Ha- mic transformation of the data (Ferguson, 1987; Hasnain, mara gauging station during the period 1973–1995. The 1996) or between Qs and Q (Restrepo and Kjerfve, 2000), durationofrunoffeventsintheWadiAbdatAinHamarasta- leadingto equations of the type: tion, which last at least 10 days, enabled us to study the C¼aQb ð1:aÞ hydrology fromdaily discharges. or The size distribution of suspended particles demon- strates a predominance of silts and clays. The mean class Q ¼a0Qb0 ð1:bÞ s s of grain diameter ranges from 4.35 to 5.82lm (very fine Thea0-coefficientshouldbeequaltoaandthedifferencein silt).Clayrepresentsmorethan20%ofthetotalpopulation the b and b0 coefficients should be 1.0 if the mean of the of particles. Sand ispresent in smallquantities (<5%). productQ =C*Qisequaltotheproductofthemeans.How- s ever,thisisoftennotrigorouslyverifiedasCandQarenot Flow regime of the Wadi Abd completely independent. Here,twocomplementaryapproachesweresuccessively Dryland rivers (i.e. the rivers of arid and semiarid regions, adopted. In a first part (Section ‘‘Instantaneous suspended Davies et al., 1994) can be perennial, intermittent or concentrationversusriverdischarge’’),weanalyzethevar- ephemeral (see terminology used in ecological studies in iabilityofcoefficientsaandbfloodbyfloodfromcoincident Uys and O’Keeffe, 1997). Ephemeral rivers are defined as measurementsofCandQ.Theresultingvaluesmakeitpos- those that run for short periods after rain has fallen high sibletoanalyzethevariabilityofthesedimentratingcurve in their catchment area (Day, 1990). An intermittent river of Wadi Abd for 138 complete or partial floods. They also is defined as having relatively regular, seasonally intermit- makeitpossibletocomparetheWadiAbd’sbehaviourwith tent discharge, i.e. a river that experiences a recurrent other rivers. 192 M. Achite,S.Ouillon In a second part (Section ‘‘Daily suspension flux versus 3 river discharge’’), as multiple pairs of (C, Q) values have b = - 0.311 Ln a + 1.066 been measured for some days, the C, Q and Q values for r = 0.578 s 2 thesedaysareaveraged.Our1432pairedCandQmeasure- n = 138 amasgeen‘s‘t,mspewearenrdeadypa,eilrryefoscuromltneicnden7f0tor2ra7tvi0ao2lnu’ed’sa,yo‘sf‘.mCT,ehQaeniarndrdeasiQlpysercwetfaivetererraevddeitsro-- tneiciffe 1 AAWgveegarrakeegsrse it vhfleoa onfld oasov d(ensr=a (1gn0e=4 1f)l8o)ods (n=16) oc 0 charge’’ and ‘‘mean daily solid discharge’’, respectively. - b ‘‘Mean’’ isdefined by: -1 1 Xp meanðxÞ¼x(cid:2)¼ x ð2Þ p i -2 i¼1 0.1 1 10 100 1000 10000 Notethattheseaveragesarebasedoncoincidentavailable a - coefficient CandQdata,andnotonatrueaveragevalueresultingfrom Figure 4 Correlation between slope/intercept values of continuous measurement throughout the day, as was the suspended sediment rating curves fitted using power-law case for the daily discharge. Regression relationships are regressionrelationships. built from mean daily values which are then compared and discussed. The evaluation of the relationships is based onthefollowing criteria: stdev isdefined by: Q) data are considered to form a single ‘‘stage’’ if they are significantly correlated (r2>0.35, 36 flood stages) or " #1=2 stdevðxÞ¼ 1 Xn ðx (cid:2)x(cid:2)Þ2 ð3Þ have been taken within a short duration (with n>6 and a n(cid:2)1 i maximum of a few hours duration when flood duration is i¼1 on average of ten days, 4 flood stages). We thus obtain Fromtheseequations,themeannormalizedbias(MNB)and 138(a,b)pairscalculatedfrom,onaverage,8.2(C,Q)pairs the normalized root mean square (rms) error, in percent, (minimum:3,median:7)withanaverager2of0.747,anda arecalculated following: medianof 0.792. (cid:2)y (cid:2)y (cid:3) The 138 values obtained are reported in Fig. 4. All epi- MNB¼mean calc obs (cid:3) 100 ð4:aÞ sodes considered, the median value of (a, b) pairs is y obs (2.154, 0.757). The relative variation calculated with the (cid:2)y (cid:2)y (cid:3) rms¼stdev calc obs (cid:3) 100 ð4:bÞ whole of the instantaneous values (2.180, 0.626) is 1.2% yobs for a and 20.9% for b. The value of b indicates that, from where y is a variable calculated using a regression rela- a global point of view, C is almost proportional to Q3/4 in calc tionshipandy isthevaluemeasuredinsitu(forC)ordi- theWadi Abdduring the flood episodes. obs rectly derived from in situ measurements (for Q =C·Q). The(a,b)pairscalculatedfordifferentfloodsaresome- MNBisanindicatorofsystematicerrorandrmsansindicator what correctly aligned (r2=0.578, n=138, see Fig. 4); the ofrandom error. coefficients a and b are thus not independent. In the Wadi Abd,aand bareconnected by theregression relationship: Sediment rating curves b¼(cid:2)0:311lnaþ1:066 ð5Þ Separating out the most aggressive floods from the least Instantaneous suspended concentration versus aggressive floods, we can study their specific behaviour river discharge and determine their seasonal variation and/or criteria of occurrence. A flood which, for a given coefficient a (resp. The 1432 instantaneous (C, Q) values lead to a regression b), has a coefficient b (resp. a) appreciably higher than an type Eq. (1.a) where a=2.180, b=0.626, r2=0.445. The averageflood,carriesahighersedimentloadthananaver- regression coefficient is low because the complete data age flood; this is referred to as an ‘‘aggressive’’ flood. On set includes many (C, Q) pairs for very dispersed, very low thecontrary,afloodwhich,foragivencoefficienta(resp. flowsandwhosesignificanceisnotimportantforthisstudy b) has a coefficient b (resp. a) appreciably lower than an since the suspended sediment flux occurs primarily during average flood, carries a lower sediment load than an aver- floods. age flood and is now referred to as a ‘‘weaker than aver- Tofocusouranalysisonthemajortransportepisodes,we age’’ flood. A flood is considered as ‘‘aggressive’’ if its havecalculatedthespecificregressionrelationshipforeach couple (a, b) fulfils the criterion: b+0.311 ln a(cid:2)1.066 flood. For floods where sufficient data are available, we >0.4,whilea‘‘weakerthanaverage’’floodfulfilsthecrite- haveplottedallavailable(C,Q)datafloodbyfloodandhave rion:b+0.311lna(cid:2)1.066<(cid:2)0.4.Thecoefficient0.4isan examined their evolution from beginning-to-end of each arbitrary choice; for example, floods #1 and #2 with flood.For98floods,oneratingcurvewassufficienttorep- b +0.311 ln a =b +0.311 ln a +0.4 are such that b = 2 2 1 1 2 resentthevariationsin(C,Q),forfloodsthatdidnotpres- b +0.4ifa =a ,ora =3.6a ifb =b .Accordingtothese 1 1 2 2 1 1 2 ent any hysteresis (r2>0.35, median r2=0.777). For 13 arbitrary criteria, the 138 floods and flood stages are di- floods, it was necessary to define distinct phases (40 on videdinto104‘‘average’’,18‘‘aggressive’’and16‘‘weaker the whole) with separate (a, b) pairs: rising, temporary than average’’ floods(see Fig.4). stagesifany(e.g.beginningoffallingbeforeanewrising), The rating parameters characteristic of each type of falling. Todistinguish different flood stages, successive (C, floodareshowninTable3.Itisparticularlynoticeablethat Suspendedsediment transport in asemiarid watershed, Wadi Abd,Algeria (1973–1995) 193 Table3 ParametersofthesuspendedloadversusdischargeregressionrelationshipforthefloodsorfloodstagesoftheWadiAbd N Medianregression bversusa coefficients a b Regressionrelationship r2 Allofthefloods 138 2.154 0.757 b=(cid:2)0.311lna+1.066 0.578 ‘‘Average’’floods 104 2.307 0.736 b=(cid:2)0.297lna+1.001 0.829 ‘‘Aggressive’’floods 18 3.408 1.568 b=(cid:2)0.320lna+1.842 0.746 ‘‘Weakerthanaverage’’floods 16 1.162 0.531 b=(cid:2)0.376lna+0.584 0.970 a3- )m. gk( C suo1186020000.... C =R 1 =1 1.02.887 Q2 17-19 Oct 78 3-b)m.gk( C su 64570000.... C =R 0 =.31 05.589 Q5 1-5 Mar 79 enatnatsnI 40. C = 302.96 Q C =R 2 =.9 401.326 Q0 oenatnatsnI 2300.. C =R 1 =6 230..016 Q6 20. R = 0.624 3 10. 3 C = 10.79 Q C = 0.838 Q 0. R = 0.877 0. R = 0.931 0. 5. 10. 15. 20. 25. 0. 10. 20. 30. 40. 50. 60. Instantaneous Q (m3.s- 1 ) Instantaneous Q (m3.s-1) Figure5 Suspendedsedimentratingcurvesfittedusingpower-lawregressionrelationshipsduringdifferentphasesofaflood.(a) 17th–19thOctober1978;(b)1st–5thMarch1979.Distinctstagesarechronologicallynumberedwithincircles. the (a, b) pairs of aggressive floods are dispersed (r2=0.746, n=18), while the (a, b) pairs of ‘‘weaker than 2 average’’ floods are remarkably linear (r2=0.970, n=16). 17-19 Oct 78 During aggressive floods, C is almost proportional to Q3/2 15-17 Feb 79 sinceb=1.568,whilefortheleastaggressivefloods,Cisal- 1-5 Mar 79 mostproportionaltoQ1/2(b=0.531).Averagefloodspracti- median (all years) 1 median (1978-79) callybehavelikethemedianfloodcalculatedforthewhole dataset,withCalmostproportionaltoQ3/4.Theremarkable nte ci linearityofthe(a,b)pairsforthe‘‘weakerthanaverage’’ ffie o floodsseemstoindicatethataminimalthresholdoferosion c - of thecatchment area exists. b 0 How do the phases of a flood follow one another in the WadiAbdandisthereaseasonalvariationofthesephases? To illustrate this question, Fig. 5 shows distinct stages of twofloods.Amulti-peakfloodispresentedinFig.5a:stage 1,decreaseofflowon17thOct.1978from7.30to10h(the -1 riseduringthepreviousnightwasnotsampled);stage2,rise 0.1 1 10 100 1000 until 11.10h; stage 3, decrease until 14.15h. After an in- a - coefficient creaseofflowwhichwasnotsampled,stage4corresponds Figure6 Pairsof(a,b)valuesforthemainfloodsoftheWadi tothefinalfallingwhichspreadoutbetween17thOct.17h Abdin1978–79. and 19th Oct. 15h. The flood presented in Fig. 5b is less complex and shows a clockwise hysteresis: a rise of flow (stage 1, from 1st March 1979 16h to 2nd March 12.30h), year and also to the median calculated over 22 years a stage of high flow (stage 2, from 2nd March 13h to 21h, (1973–1995). The (a, b) pairs for the flood of October 78 isoneofthe4stagesofshortdurationandofpoorcorrela- (Fig. 5a) are as follows: stage 1 is ‘‘aggressive’’, stages 2 tionwithintheglobaldataset;theotherphasesinFig.5are to 4 are ‘‘average’’; for the flood of March 79 (Fig. 5b), suchasr2>0.35), thenthe falling(stage3from2ndMarch stages1and2are‘‘average’’,stage3is‘‘weakerthanaver- 22h to 5thMarch 12h). age’’ (Fig. 6). The flood of March 1979 (Fig. 5b) shows a InFig.6,the(a,b)pairsofthemainfloodsof1978–1979 clockwise hysteresis, with a higher particulate load during are compared to the median pair of the same hydrologic the risingstage than during thefalling stage, at an equiva- 194 M. Achite,S.Ouillon lent flow (see Williams, 1989 for a general typology of the ofrecentfloods,seasonalvariationsofvegetationcoverand relationship between concentration and discharge during other parameters. hydrologicevents).BenkhaledandRemini(2003)haveana- The best-fit regression relationship between mean daily lyzed the hysteresis episodes of C–Q relationships on an- sediment discharge and mean daily water discharge is a other Algerian basin, the Wadi Wahrane basin, for 13 power-law relationship of the type of Eq. (1.b) given by floods. They show a significant prevalence of hysteresis of (r2=0.826, n=702): clockwisetype(8outof13).Asystematicanalysisoftheen- Q ¼1:712 Q1:769 ð7Þ tire data for the Wadi Abd was not conducted during this s study.However,wehaveobservedthatthepair(a,b)dur- Theaanda0 coefficientsinEqs.(6)and(7)differby0.11%, ingaflood(includingseveralfallingphasesasinOct.1978) and b0=b+1.019. To estimate Q from the entire Q data s isgenerallytranslatedinana–bdiagrambyashifteitherto available, one can apply Eq. (7) directly, or determine C theleft(adecreases,asinOct.1978,seeFigs.5aand6),or using Eq. (6) then multiply the result by Q. In the relevant towards the bottom (b decreases, as in March 1979, see literature, the second alternative is used more frequently Figs. 5b and 6). This reduction in a or b probably indicates than the first because the coefficient of correlation of Q– s that thesuspended sedimentconcentration (resulting from QissuperiortothatofC–Q.Wehaveappliedthetwometh- erosive power and sediment supply) of the Wadi Abd de- odsto our data set. creases at the end of the flood. The successive positions Thefirstapplicationrelatestothedatasetbeingusedto ofthe pair (a,b)onthe a–bdiagram also makeit possible establishtheregressionrelationships.TheQ–Qrelationship s to visually compare between floods. As an example, Fig. 6 provides Q values which are on average 48.5% higher than s showsaleft-shiftofthespringfloodascomparedtotheau- the measurement derived Q values (MNB=48.5%, s tumn flood, demonstrating that the autumn flood is more rms=133%). The C–Q relationship provides C values that aggressive. These examples observed in 1978–1979 illus- are on average 48.1% higher than the C measured values trate the tendency generally noted on Wadi Abd: the first (rms=132%) which, multiplied by Q, provide values of Q s stages of a flood are more ‘‘aggressive’’ than the last, and on average 45.7% higher than Q values derived from mea- s thefloodsofautumnaremore‘‘aggressive’’thatthefloods surements. Statistical comparison between 702 measured ofspring. Q andC–QderivedvaluesofQ isbasedonlog-transformed s s We have tested the predictive capacity of the median data to encompass the several-orders-of-magnitude varia- pairs of coefficients (a, b) obtained for the 3 flood types tion in Q. Statistics such as regression slope (1.011) and s (average, aggressive, weaker than average) to estimate intercept ((cid:2)0.0022), coefficient of determination (r2= the instantaneous concentration from instantaneous dis- 0.827) and rms error (100%) provide a numerical index of charge, if the type of flood is known. In the majority of modelperformancewhichcanbecomparedtothoseofother ‘‘aggressive’’ and ‘‘weaker than average’’ floods, the modelsandotherrivers(suchstatisticsarecommonlyusedto choiceofanadaptedpairdecreasestheerrorinthecalcu- comparebio-opticalalgorithms(seetheexampleofO’Reilly lation of C compared to the use of the total median pair. et al., 1998)). The difference between predicted and ob- However,noneofthethreemedianpairsisadaptedtogive servedvaluesiscalculatedontheentiredatasetand,there- acorrectestimationofCforfloodstagessuchasb<0.Neg- fore,doesnottakeintoaccounttheabsolutevaluesofQ.In s ative values of b correspond to a particular case where C fact,themostimportantaspectinthereconstitutionofthe and Q evolve conversely, with C increasing while Q de- soliddischargeratesrelatestotheepisodesofhighestflow creases and vice versa. None of the median pairs (all of whose contribution is essential both to estimation of total which are b>0) can reproduce this generally transitory fluxofriver-drivenparticlesandfortheanalysisofitsvari- behaviourwhichoccursduringanintermediatephaseinbe- abilityonseasonalandinterannualscales.Whenthecumu- tween the rise and fall of the flood (see two examples in latedvaluesofsuspendedloadforthe702considereddays Fig.5aandb).Ifonewantstodeterminepairsof(a,b)coef- are compared using the two methods of reconstitution (by ficientsbyfloodtype,itisnecessarytorestrictthethreeal- summing the predicted mean daily solid discharges), an ready defined types of floods by b>0 and to add a fourth over-estimationof25.7%isobtainedcomparedtothe‘‘mea- type corresponding to the transitional stages where C and sured’’ daily suspended loads by the use of the Q–Q rela- s Qareinnegativecorrelation.Thecalculationofthemedian tionship,andof21.8%bytheuseoftheC–Qrelationship. coupleforthe11 phasesofsuchfloodsoutof 138provides Several lessons canbe learnedfrom theseresults: a=84.72andb=(cid:2)0.48. 1. Sincetheaveragerelativeerror((cid:4)48%)ishigherthanthe Daily suspension flux versus river discharge absolute error of the cumulated solid discharge ((cid:4)25%), therelativeerrorsareweakerduringhighflowsthandur- The regression relationship between the mean daily C and ing low ones. This is easily explained by the increased themeandaily Q is(r2=0.463,n=702): scattering of the concentrations during low discharge relative to those during high discharge, and because C¼1:710 Q0:750 ð6Þ the episodes of high discharge, which are fewer, force where C is expressed in gL(cid:2)1 and Q in m3s(cid:2)1. C is depen- the regression relationship more than do the points of dent on two main factors: water discharge and supply. lowdischarge. The r2 value means that the variations of C are explained 2. Withourdataset,thereconstitutedtimeseriesaremore byupto46%bythoseofQ.Morethan50%ofthevariability likelytoover-estimatethelowsoliddischargesthanthe inCisexplainedbythesupplyofsedimentstotheriversys- highones.Thiswill decreasethevariation ofsuspended tem,withsupplydeterminedbytheoccurrenceorabsence loadofseasonal or interannualorigin. Suspendedsediment transport in asemiarid watershed, Wadi Abd,Algeria (1973–1995) 195 3. An over-estimate of about 25% in the calculation of the loadoftheriver.Theirexplanationisthateachriverunder- suspended load cumulated over 702 days can be easily goes higher-frequency variability that is controlled by seen as high. Nonetheless, this performance, which one weather patterns and channel recovery from extreme pre- may describe as ‘‘average’’, does not require any spe- cipitation events. cific knowledge other than the liquid discharge which Ratingparametersaandbof ariverstronglydependon caneasilybegauged,sinceasimpleregressionrelation- flowregimeanddonotvaryinthesameproportions(Table shiphasnowbeenestablished.SincethevariabilityofC 4).Generally,bstaysinrange0.3–2.5,whileacanvaryby intheWadiAbdisexplaineduptoonly46%bytheflow, severalordersofmagnitude (e.g.ReidandFrostick, 1997). we estimate that the performance of the reconstitution Frostick et al. (1983) have shown that the coefficient b is is acceptable. To achieve a finer precision, the integra- smallerinaridzoneflashfloods(usuallyb<1)ascompared tionofotherexplanatoryfactorsthanthedischargeonly to typical perennial systems draining temperate regions is needed which would require the building of a more where b>1. Intermittent rivers in semiarid environments complexmodel. seemtohaveb-coefficientslowerthan1,similartoephem- 4. AlthoughtheQ–Qcorrelationishigherthanthatofthe eral rivers in arid zones (Table 4). The rating parameters s C–Q relationship, the performance of the two methods calculated for the Katiorin basin in Kenya (Sutherland and of prediction of Q is equivalent. This is due to the fact Bryan, 1990) and for the Eshtemoa in the northern Negev s that the former is biased, andthe latter isnot. The use Desert (Alexandrov et al., 2003a) are such that b+0.311 of a non-biased C–Q relationship introduces an uncer- lna(cid:2)1.066gives0.40ontheKatiorinand0.24ontheEste- tainty in C, but when Q is calculated from C, no addi- moa,respectively.Thismeansthatthesefloodsareslightly s tional error is introduced because the value of Q more ‘‘aggressive’’ than the average floods of the Wadi multipliedbyCwasmeasured.TheuseoftheC–Qrela- Abd.Anotherinterestingcomparisonisthatinthethreeba- tionshipandthemultiplicationofCbyQthusappearsto sins, the variations in discharge explain only about 50% of introduce less errors than using the law Q–Q, even the variance in suspended sediment discharge (49% for the s though the Q–Q relationship presents a higher Eshtemoa,52%fortheKatiorinand46.3%fortheWadiAbd). s correlation. Eqs. (6) and (7) provide little understanding of the physical processes that underlie the sediment transport. Moreover, we may also note that the pair (a, b) estab- However, physical explanations on shapesof C–Q relation- lishedusingmeandailyconcentrationandwaterdischarge, ships, either linear or non-linear (concave or convex), can (1.710, 0.750), differs slightly from that calculated for the be found in the literature (e.g. Williams, 1989; Sichinga- flood phases, (2.154, 0.757). While the b-coefficient re- bula,1998;Moreheadetal.,2003).Inparticular,theavail- mains unchanged, the a-coefficient is reduced by 20.6% ablestudies underlinetheinfluenceofpreceding discharge when considering the mean daily variables. The different or antecedent moisture, which tends to generate quick or methods of calculation can partly explain the discrepancy delayed runoff. This then causes rapid or slow increases in between both pairs, since the pair (a, b) relative to the sediment concentration in concert with discharge changes meandailyvariablesresultsfromabest-fitregressionrela- as well as affecting the variability in the amount of easily tionship, while the other is the median of the (a, b) pairs erodible sediment stored in thechannel. calculatedfromacollectionoffloodepisodes.Thefactthat Thehigh-frequencyvariability(atthefloodevent)ofthe atlowdischarge,concentrations,whicharegenerallylower rating parameters is also examined in the present study. It than those estimated by the regression relationship, are appears that their alignment demonstrates that a and b consideredwithindailyvaluesbutnotasfloodphasevalues are not independent and that one cannot interpret one (whichincludeonlyhighsedimentloadepisodes)isprobably without the other, as is sometimes found in the literature. themainreasonfordiscrepancy betweenboth(a,b)pairs. The alignment of the (a, b) pairs for the sediment rating curveseitheratastation,oratseveralstationsofthesame Comparison to other rivers catchment area, has already been described by Asselman (2000) for the perennial Rhine River and its tributaries. Comparisonsofaandbamongsitesaredelicatebecausethe Asselman obtains the following relationships: b=(cid:2)0.296 ln dimensionofa[hereexpressedin(kgm(cid:2)3)(sm(cid:2)3)bforevery a+0.467 (Andernach station, Rhine), b=(cid:2)0.393 ln a+ given example] depends on the value of b (dimensionless). 0.577 (Cochem station, Mosel) and b=(cid:2)0.462 ln a+0.736 Nevertheless, these comparisons make it possible to have (Rockenau station, Neckar). The slope for the relationship a greater understanding of the respective physical signifi- intheWadiAbd(Eq.(5),seeFig.4)isconsistentwiththese cancesofaandbwhichdependonmultiplefactors(Frostick values, although the interceptis higher. etal.,1983;Syvitskietal.,2000;Asselman,2000).Syvitski Concerning the wadis in Algeria, Toua¨ıbia et al. (2001) etal.(2000)havecomparedratingparametersat57gauging present rating curves based on a long-term series of flow stationsinNorthAmerica,1inEuropeand1inChina.They and concentration measurements at two stations close to examine the rating equations in comparison to the long- Ain Hamara, one of which is located downstream from Ain termcharacterofthesuspendedsedimentloadintherivers Hamara,theotherislocatedintheneighbouringsub-catch- and show that the rating coefficient a is inversely propor- ment of the Wadi Haddad. All the mean monthly relation- tional to the long-term mean discharge and is secondarily ships that they obtain from instantaneous values have a related to the average temperature and the basin’s topo- higher factor a and a smaller factor b than in the present graphic relief. They also show that the rating exponent b study. The high values of b (together with low values of a) correlates most strongly with the average air temperature have been obtained for the months where there is an in- andbasinreliefandisweaklycorrelatedwiththelong-term crease in precipitation after 3 months of low water level, 196 M. Achite,S.Ouillon Table4 Examplesofcoefficients(a,b)intheratingcurveC=aQb,whereC(concentrationofsuspendedsediment)isexpressed ingL(cid:2)1andQ(waterdischarge)inm3s(cid:2)1 Reference River Semiarid Rainfall a b Complementary basin (mmyr(cid:2)1) information Chikita(1996) Ikushunbetsu,Japan No 1418 4.28·10(cid:2)3 2.11 Sedimentdischarge dominatedbythe riverbankerosionin snowmeltrunoff Moreheadetal.(2003) NorthSaskatchewan, No Notgiven 1.3·10(cid:2)5 1.58 Alberta Asselman(2000) Rhine,Germany No 600–2500 7.7·10(cid:2)7 1.22–1.44 From4stationsalong (cid:2)1.7·10(cid:2)6 theRhineRiver AchiteandOuillon,thispaper Abd,Algeria Yes 250 1.71 0.75 Fromdailyvalues Toua¨ıbiaetal.(2001) Haddad,Algeria Yes 249 5.79–25.13 0.36–0.74 Monthlyvalues 3.62 0.44 Medianofmonthly values Alexandrovetal.(2003a) Eshtemoa,Israel Yes 220–350 16.98 0.43 SutherlandandBryan(1990) Katiorin,Kenya Yes 640 43 0.30 (a,b)providedbyChikita(1996);Moreheadetal.(2003)andAsselman(2000)resultedfrominstantaneousCandQmeasurements. inJulyintheWadiHaddadandinFebruaryintheWadiMina (Eisma, 1998; Syvitski et al., 2003; see also ref. quoted in (El-Abtal station). Conversely, the low values of b, which Coynel et al., 2004). However, bedload transport seems to arenotassociatedwiththehighestvaluesofa,areobtained be extremely variable in dryland rivers. Reid and Laronne for the monthsthat followa period of at least two months (1995) have reported very high bedload rates in a gravel of high flow (in December and March in the Wadi Haddad, bed ephemeral river, that are orders of magnitude higher in December in the Wadi Mina). It should be noted that than in its more humid counterparts. On the other hand, thesevariationsofbonamonthlyscaleareconsistentwith Serrat(1999)notedthatbedloadsedimentvolumewasless theshort-termvariationsofbthatwehaveobservedonthe than 1% of the suspended load in an intermittent river of C–Qcurvesduringaflood(Fig.5).Thisisalsoinagreement Mediterranean type. In the Wadi Abd, the small proportion withthevariationsbetweenrisingandfallingdischargeepi- ofsandinsuspension(<5%ofdryweightofsuspendedparti- sodesobservedin theRhineRiverbyAsselman(2000).This cles) does not allow us to conclude on the relative impor- reinforces the assumption of a strong relation between tance of transport in suspension and bedload transport. coefficients aandb. The value of 136tkm(cid:2)2yr(cid:2)1 may only be considered as an estimate of the fine sediment flux for the Wadi Abd Basin. Annual sediment wash-down and its variability The value of 136tkm(cid:2)2yr(cid:2)1 is similar to the global mean sediment wash-down, of the same order as the sediment Annual suspended sediment budget wash-downinSouthAmerica,andfarhigherthanthemean sedimentwash-downinAfrica(seeTable5).Theseregional The average value of the suspended sediment flux for the values are average values andit must be remembered that WadiAbdbasincalculatedfromthereconstructedtimeser- the specific sediment yield is known to decrease with the ies of suspended sediment transport is 339·103tyr(cid:2)1 for drainage basin area (see Fig. 1 in Jiongxin and Yunxia, the period 1973–1995. This corresponds to a specific sus- 2005).ThesuspendedsedimentyieldfortheWadiAbdbasin pendedsedimentyield,whichistheratioofsuspendedload hasbeenalsocomparedtovaluesprovidedforothercatch- to basin area, of 136tkm(cid:2)2yr(cid:2)1. The specific suspended ments in the Mediterranean basin (Table 5); it is similar to sediment yield is also called ‘‘sediment wash-down’’ or thevalues reported for other basins in Algeria andIsrael. ‘‘suspended solidsyield’’ in the literature. The specific sediment yield Y, which is generally ex- Suspendedsedimentfluxshouldnotbeconfusedwiththe pressed in tkm(cid:2)2yr(cid:2)1, can also be expressed in kg rateofsoilerosionassedimenterodedfromuplandsoilsis km(cid:2)2day(cid:2)1to permitcross-sitecomparisonusingquantiles progressivelystoredintherivervalley(MillimanandMeade, ofitsdistributionthatcannotbeexpressedonayearlybasis 1983).Moreover,itseemsthat,globally,thetwoquantities (Meybeck et al., 2003). In the Wadi Abd, the average daily are inversely affected by anthropogenic impacts, with soil suspendedsolidsyieldis374kgkm(cid:2)2day(cid:2)1andthemedian erosionacceleratingwhilesedimentfluxtothecoastalzone daily sediment fluxes over the period 1973–1995 (Y ) is 50 isglobally decreasing (Syvitski, 2003). 28kgkm(cid:2)2day(cid:2)1. The resulting flux variability as defined Norshouldsuspendedsedimentfluxbeconfusedwiththe bytheirratiois13.4,whichistypicalofhighsuspendedsol- totalsedimentdeliverywhichresultsfrombedloadcharge, idsfluxvariabilityonthedaily-scalefollowingtheclassifica- suspendedsediment,anddissolvedsediment(Serrat,1999). tion proposedby Meybeck et al.(2003). Bedloadisgenerallyassumedto beaminorpartofpartic- Lastly, it is of interest to jointly analyze river flow and ulatematterflux,accountingforonlyapproximately5–10% sediment wash-down. The average water discharge calcu-
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