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Distributed under a Creative Commons Attribution| 4.0 International License Discharge simulation in the sub-basins of the Amazon using ORCHIDEE forced by new datasets Matthieu Guimberteau, Guillaume Drapeau, Josyane Ronchail, Benjamin Sultan, Jan Polcher, Jean-Michel Martinez, Catherine Prigent, Jean-Loup Guyot, Gérard Cochonneau, Jhan Carlo Espinoza Villar, et al. To cite this version: Matthieu Guimberteau, Guillaume Drapeau, Josyane Ronchail, Benjamin Sultan, Jan Polcher, et al.. Discharge simulation in the sub-basins of the Amazon using ORCHIDEE forced by new datasets. Hydrology and Earth System Sciences, European Geosciences Union, 2012, 16 (3), p.11171-11232. <10.5194/hess-16-911-2012>. Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ doi:10.5194/hess-16-911-2012 © Author(s) 2012. CC Attribution 3.0 License. Hydrology and Earth System Sciences Discharge simulation in the sub-basins of the Amazon using ORCHIDEE forced by new datasets M. Guimberteau1,2, G. Drapeau1,2,3,4, J. Ronchail1,2,3, B. Sultan1,2,5, J. Polcher2,6, J.-M. Martinez7, C. Prigent8, J.-L. Guyot7, G. Cochonneau7, J. C. Espinoza9,10, N. Filizola11, P. Fraizy12, W. Lavado10,13, E. De Oliveira14, R. Pombosa15, L. Noriega16, and P. Vauchel12 1Laboratoire d’Oce´anographie et du Climat: expe´rimentations et approches nume´riques (LOCEAN), UMR7159, Paris, France 2Institut Pierre Simon Laplace (IPSL), Paris, France 3Universite´ Paris Diderot, Sorbonne Paris Cite´, Paris, France 4Poˆle de Recherche pour l’Organisation et la Diffusion de l’Information Ge´ographique (PRODIG), Paris, France 5Institut de Recherche pour le De´veloppement (IRD), Paris, France 6Laboratoire de Me´te´orologie Dynamique (LMD), CNRS, Paris, France 7Institut de Recherche pour le De´veloppement (IRD), Brasilia, Brazil 8Laboratoire d’Etudes du Rayonnement et de la Matie`re en Astrophysique (LERMA), Observatoire de Paris, CNRS, Paris, France 9Instituto Geofisico del Peru´, Lima, Peru´ 10Universidad Agraria La Molina, Lima, Peru´ 11Universidad Federal de Amazonas, Manaus, Brazil 12Institut de Recherche pour le De´veloppement (IRD), Lima, Peru´ 13Servicio Nacional de meteorologı´a e hidrologı´a, Lima, Peru´ 14Ageˆncia Nacional de ´Aguas (ANA), Brasilia, Brazil 15Instituto Nacional de meteorologı´a e hidrologı´a, Quito, Ecuador 16Servicio Nacional de meteorologı´a e hidrologı´a, La Paz, Bolivia Correspondence to: M. Guimberteau (matthieu.guimberteau@upmc.fr) Received: 24 November 2011 – Published in Hydrol. Earth Syst. Sci. Discuss.: 15 December 2011 Revised: 1 March 2012 – Accepted: 15 March 2012 – Published: 22 March 2012 Abstract. The aim of this study is to evaluate the ability of the ORCHIDEE land surface model to simulate streamflows over each sub-basin of the Amazon River basin. For this pur- pose, simulations are performed with a routing module in- cluding the influence of floodplains and swamps on river dis- charge and validated against on-site hydrological measure- ments collected within the HYBAM observatory over the 1980–2000 period. When forced by the NCC global mete- orological dataset, the initial version of ORCHIDEE shows discrepancies with ORE HYBAM measurements with under- estimation by 15 % of the annual mean streamflow at ´Obidos hydrological station. Consequently, several improvements are incrementally added to the initial simulation in order to reduce those discrepancies. First, values of NCC precipita- tion are substituted by ORE HYBAM daily in-situ rainfall observations from the meteorological services of Amazonian countries, interpolated over the basin. It highly improves the simulated streamflow over the northern and western parts of the basin, whereas streamflow over southern regions be- comes overestimated, probably due to the extension of rainy spots that may be exaggerated by our interpolation method, or to an underestimation of simulated evapotranspiration when compared to flux tower measurements. Second, the initial map of maximal fractions of floodplains and swamps which largely underestimates floodplains areas over the main stem of the Amazon River and over the region of Llanos de Moxos in Bolivia, is substituted by a new one with a bet- ter agreement with different estimates over the basin. Simu- lated monthly water height is consequently better represented in ORCHIDEE when compared to Topex/Poseidon measure- ments over the main stem of the Amazon. Finally, a calibra- tion of the time constant of the floodplain reservoir is per- formed to adjust the mean simulated seasonal peak flow at ´Obidos in agreement with the observations. Published by Copernicus Publications on behalf of the European Geosciences Union. 912 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 1 Introduction The Amazon River basin, the largest basin in the world with an area of approximately 6.0 million km2, has the highest av- erage discharge (206 000 m3 s−1) (Callede et al., 2010) and it contributes to about 15–20 % of the fresh water trans- ported to the oceans (Richey et al., 1986). The present func- tioning of this basin is especially complex due to four el- ements: its extent over large ranges of latitude, longitude and altitude that organize its mean hydrological character- istics, the presence of extensive inundation zones that con- tribute to runoff control at annual and interannual time scales, the influence of the Atlantic and Pacific oceans that partly control the hydrological variability at different time scales, and the land use changes that are increasing since the sev- enties and lead to changes in the radiation and water bal- ances. Yet, a good understanding of the present hydrologi- cal response of the Amazon River basin to various forcings is required to evaluate future changes. This can be partly achieved by using numerical models relying on hydroclima- tological databases. So far, regional discharge simulation in the Amazon River basin has been conducted by different groups. Vo¨ro¨smarty et al. (1989) and Costa and Foley (1997) initiated the simulation efforts in the Amazon River basin. Coe et al. (2002) simulated discharge in 121 stations of the Amazon River basin using an integrated biosphere simula- tor coupled to a hydrological routing algorithm and obtained good results for Brazilian basins. However, a discharge un- derestimation was found in the basins lying in other Amazo- nian countries, due to the lack of reliable rainfall information except for Brazil. Other deficiencies of the model, related to the river and floodplain morphology, have been corrected in Coe et al. (2007) and led to great improvement in the sim- ulation of discharge, water height and flooded area. In Coe et al. (2009), the same authors used the model to character- ize the role of deforestation on runoff evolution. Also us- ing ISBA (Soil-Biosphere-Atmosphere Interaction) land sur- face model and the TRIP (Total Runoff integrating Pathways) river routing model, Decharme et al. (2008) compared their evaluations in the Parana, Orinoco and Amazon River basins with satellite-derived inundation estimates as well as in-situ river discharge observations. Recently an interesting model- ing effort was introduced by Yamazaki et al. (2011), incor- porating semi-explicit floodplain process. At the beginning of 21st century, a distributed Large Basin Simulation Model, called MGB-IPH (an acronym from the Portuguese for Large Basins Model and Institute of Hydraulic Research), was de- veloped by Collischonn and Tucci (2001). Applications of this model were initially developed for the La Plata basin (Allasia et al., 2006) and then for some Amazonian rivers, the Madeira (Ribeiro et al., 2005), the Tapajos, where satellite- derived rainfall information is being used to run the model (Collischonn et al., 2008), and the Negro river, where spa- tial altimetry data is being used to complement the valida- tion of the simulation (Getirana, 2010; Getirana et al., 2010). The comparison of different rainfall products used to force MGB-IPH in the Negro basin shows that observed data give the most adequate discharge results (Getirana et al., 2011). Recently, developments towards a better representation of floodplains in the upper Parana River (Pantanal region) have been presented in Paz et al. (2010). Beighley et al. (2009) focused on the representation of water storage in the Ama- zon River basin and the factors accounting for its variability. Finally, Paiva et al. (2011) show that it is possible to em- ploy full hydrodynamic models within large-scale hydrolog- ical models even using limited data for river geometry and floodplain characterization. This present work aims to evaluate the simulation of discharge in the Amazon main stem and in its prin- cipal tributaries by the hydrological module SECHIBA (Sche´matisation des EChanges Hydriques a` l’Interface Biosphe`re-Atmosphe`re, Ducoudre´ et al., 1993) of the land surface model (LSM) ORCHIDEE (ORganising Carbon and Hydrology In Dynamic EcosystEms) considering a 11-level hydrology (De Rosnay, 1999; De Rosnay et al., 2002; d’Orgeval, 2006; d’Orgeval et al., 2008), using a routing module (Polcher, 2003) and the representation of floodplains and swamps by d’Orgeval (2006). All these characteris- tics of the model are described in Sect. 2. The model is forced by NCC atmospheric data (NCEP/NCAR Corrected by CRU data, Ngo-Duc et al., 2005) detailed in Sect. 3.1. Ngo-Duc et al. (2005) previously compared observed and simulated discharge values by ORCHIDEE at the ´Obidos sta- tion, on the main stem of the Amazon River. In that ex- periment, the authors found that the quality of simulations forced by this new 53-yr NCC data is better than the former ones forced by the GSWP2 (Global Soil Wetness Project 2, Dirmeyer et al., 2002; Zhao and Dirmeyer, 2003) forcing dataset. However, the discharge simulations forced by NCC identified some discrepancies in the annual cycles in some tributaries of the Amazon River basin and over- or underes- timations of the mean discharge in the southern and western tributaries, respectively (J. Ronchail et al., personal commu- nication, 2005). Improvements to former simulations may be expected thanks to the recent availability of a comprehensive observed precipitation dataset for the Amazon River basin made available within the framework of the ORE (Environ- mental Research Observatory) HYBAM (Geodynamical, hy- drological and biogeochemical control of erosion/alteration and material transport in the Amazon River basin, Cochon- neau et al., 2006) and of new satellite-derived maps of flood- plains and swamps distribution (Martinez and Le Toan, 2007; Prigent et al., 2007). These new data datasets are described in Sect. 3.3. Our aim is to verify whether ORCHIDEE, forced by these new datasets, properly reproduces the dif- ferent specificities of the main stem and of some large sub- basins of the Amazon when compared with observations (de- scribed in Sect. 3.2). Therefore, the new datasets are incre- mentally added to the initial simulation (ORCH1) performed with NCC and initial maps of flooded areas distribution. Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 913 First, in simulation ORCH2, we test in Sect. 4 the impact of ORE HYBAM precipitation on simulated water budget (Sect. 4.1) and simulated streamflow (Sect. 4.2) over the basin. The different characteristics of the simulated dis- charges (accuracy of the mean annual value, precision of the seasonal cycle and representation of the interannual variabil- ity) are studied in the different locations of the basin. Fi- nally, the impact of the new spatial distribution of flooded areas on the time position of flooding and the water height of the floodplains is investigated through simulation ORCH3 in Sect. 5. Those improvements allowed us to calibrate the streamflow at ´Obidos (simulation ORCH4). This calibration can be crucial to use ORCHIDEE as a tool to predict future changes in Amazon River basin hydrology. Indeed, an in- crease of extremes (floods and droughts) has already been observed since the nineties (Espinoza et al., 2009a). It may be part of the long-term variability described by Callede et al. (2004) and Marengo (2004) but may be also a consequence of the climatic change described for South America by the IPCC (Solomon et al., 2007). 2 The land surface model ORCHIDEE 2.1 Hydrological module and vegetation SECHIBA is the hydrological module of ORCHIDEE that simulates the fluxes between the soil and the atmosphere through the vegetation, and computes runoff and drainage, which are both discharged to the ocean. The hydrolog- ical module used in this study is based on developments by De Rosnay et al. (2000, 2002) and d’Orgeval (2006). Physical processes of vertical soil flow are represented by a diffusion-type equation resolved on a fine vertical dis- cretization (11 levels) and the partitioning between surface infiltration and runoff is represented in the model. The hy- drological module is fully described by De Rosnay (1999); De Rosnay et al. (2002); d’Orgeval (2006); d’Orgeval et al. (2008). In order to reduce noise in our simulation of streamflow, no complex scenario such as deforestation, land use or forest fire is taken into account in this study. Vegetation distribution and LAI seasonality are prescribed in the model through global maps. In each grid-cell, up to thirteen Plant Functional Types (PFTs) can be represented simultaneously according to the International Geosphere Biosphere Programme (IGBP, Bel- ward et al., 1999) and the Olson classification (Olson et al., 1983). Values of LAI come from the Normalized Differ- ence Vegetation Index (NDVI) observations (Belward et al., 1999). The PFTs are grouped into 3 ensembles (bare soil, trees and grass/crops) and a water balance is computed for each one given a dominant soil type over the grid box de- fined by a map derived from Reynolds et al. (1999)’s dataset. 2.2 Routing module The routing scheme (Polcher, 2003), described in Ngo-Duc et al. (2007), is activated in the model in order to carry the water from runoff and drainage simulated by SECHIBA to the ocean through reservoirs, with some delay. The routing scheme is based on a parametrization of the water flow on a global scale (Miller et al., 1994; Hagemann and Dumenil, 1998). Given the global map of the main watersheds (Oki et al., 1999; Fekete et al., 1999; Vo¨ro¨smarty et al., 2000) which delineates the boundaries of sub-basins and gives the eight possible directions of water flow within the pixel, the surface runoff and the deep drainage are routed to the ocean. The resolution of the basin map is 0.5◦, higher than usual resolution used when LSMs are applied. Therefore, we can have more than one basin in SECHIBA grid cell (sub-basins) and the water can flow either to the next sub-basin within the same grid cell or to the neighboring cell. In each sub-basin, the water is routed through a cascade of three linear reser- voirs which do not interact with the atmosphere. The water balance within each reservoir is computed using the follow- ing continuity equation: dVi dt = Qini − Qouti (1) where Vi (kg) is the water amount in the reservoir i con- sidered (i = 1, 2 or 3), Qini and Qouti (both in kg day−1) are, respectively the total inflow and outflow of the reservoir i. The slow and deep reservoir (i = 3) collects the deep drainage D (water moving downward from surface wa- ter to groundwater) computed by the land surface scheme, whereas the fast reservoir (i = 2) collects the computed sur- face runoff R (portion of incoming water such as precipita- tion and irrigation not infiltrating in the soil but discharged from the area). Both discharge flows into a third reservoir, called stream reservoir (i = 1), of the next sub-basin down- stream. According to Eq. (1), the continuity equations can be written for each of the three reservoirs as below: dV1 dt = ∑ x Qinx − Qout1 (2) dV2 dt = R − Qout2 (3) dV3 dt = D − Qout3 (4) where Qinx (kg day−1) is the total inflow coming from the neighboring cells or sub-basins x and R and D (both in kg day−1) are, respectively surface runoff and deep drainage. The flow chart in Fig. 1 represents the routing channel modeling in SECHIBA through an example of two sub- basins (A and B) included in a same grid cell p. Three reservoirs are allocated to each sub-basin. At each rout- ing time step 1t = 1 day, the routing scheme computes wa- ter flows as follows: the sum of the surface runoff and the www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 914 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets Fig. 1. Flow chart of the routing channel connected with floodplains/swamps module in ORCHIDEE. Example of two sub-basins A (with a swamp fraction) and B (with a floodplain fraction) included into one grid cell p. 36 Fig. 1. Flow chart of the routing channel connected with floodplains/swamps module in ORCHIDEE. Example of two sub-basins A (with a swamp fraction) and B (with a floodplain fraction) included into one grid cell p. deep drainage is spread in the grid cell p over the two sub- basins, proportionally to their surface. The surface runoff of the sub-basins A and B (respectively RAp and RBp ) flows into their respective fast reservoirs of volume VA2 and VB2. The deep drainage DAp and DBp flows into the slow reser- voirs of volume VA3 and VB3. The water amount of the river is represented by the stream reservoir. The stream reser- voir of the sub-basin A is assumed to be empty in this ex- ample (VA1 = 0), the outflows from the neighboring pixels x (x = sw, w, nw, n, ne) to sub-basin A being null (∑ x Qoutx = 0). The stream reservoir of the downstream sub-basin B of vol- ume VB1 collects the sum of the outflows QoutAp from the three reservoirs of the sub-basin A (see Eq. 5) and the outflow Qouts coming from the pixel s (Eq. 6). QoutAp = 3∑ i=1 QoutAip (5) where QoutAp (kg day−1) is the total outflow from the sub- basin A in the pixel p and QoutAip (kg day−1) the outflow from each reservoir i of the sub-basin A in the pixel p. QinBp = QoutAp + Qouts (6) where QinBp (kg day−1) is the total inflow of the sub-basin B in the pixel p and Qouts (kg day−1) the total outflow from the pixel s. The sum of the outflows from the reservoirs of the sub- basin B in the pixel p goes to the pixel e. Runoff and drainage are routed through this cascade of reservoirs. In our model, the volume of water Vi into the reservoir i is assumed to be linearly related to its outflow Qouti : Vi = (gi · k) · Qouti (7) where gi (day m−1) is a property of the reservoir i and k (m) a water retention index. The water travel simulated by the routing scheme is depen- dent on a water retention index k, given by a 0.5◦ resolution map for each pixel performed from a simplification of Man- ning’s formula (Dingman, 1994; Ducharne et al., 2003): k = √ d3 1z (8) where d (m) is the river length from one subgrid basin to the next subgrid, and 1z (m) the height lost over the path of the river. Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 915 The value of g in the Eq. (7) has been calibrated for the three reservoirs over the Senegal river basin only, during the 1◦ NCC resolution simulations (Ngo-Duc et al., 2005; Ngo- Duc, 2006) and generalized for all the basins of the world. The “slow reservoir” and the “fast reservoir” have the high- est value (g2 = g3 = 3.0 days m−1, d’Orgeval, 2006) in order to simulate the groundwater. The “stream reservoir”, which represents all the water of the stream, has the lowest value (g1 = 0.24 day m−1). Those figures are the same for all the basins of the world. The resulting product gi · k represents the time constant Ti (day) which is an e-folding time, the time necessary for the water amount in the stream reservoir to decrease by a factor e. Hence, it gives an order of mag- nitude of the travel time through this reservoir between the sub-basin considered and its downstream neighbor. 2.3 Floodplains and swamps module Floodplains are land areas adjacent to streams that are sub- ject to recurring inundation. The stream overflows its banks onto adjacent lands. Over the Amazon River basin, Richey et al. (1989) estimated that up to 30 % of the water in the main stem is derived from water that passed through the floodplain. Thus, as the floodplain storage is significant in relation to the streamflow, it must be taken into account ex- plicitly. Moreover, water can be stored in swamps, it satu- rates and infiltrates into the soil and does not return to the river. These inundated areas mainly correspond to flooded forest areas in the Amazon River basin. Thus, the module of floodplains/swamps developed in ORCHIDEE by d’Orgeval (2006) is used for this study in order to better represent the timing of flow in some regions of the Amazon River basin strongly affected by flooding. The parametrization is described in detail by d’Orgeval (2006) and d’Orgeval et al. (2008). A map of maximal fractions of floodplains (MFF) and swamps (MFS) derived from the Global Lakes and Wetlands Database (GLWD, Lehner and Do¨ll, 2004) is initially prescribed to the model. Floodplains and swamps in the model derive, respectively from three types of wa- ter surfaces (Reservoir, Freshwater marsh-Floodplain and Pan-Brackish/Saline wetland) and one type (Swamp forest- Flooded forest) according to GLWD database. Over floodplains areas, the streamflow QinBp from head wa- ters of the reservoirs of the basin A flows into a reservoir of floodplains (QinBp =QinFd ) instead of the stream reservoir of volume VB1 of the next downstream (Fig. 1). The surface SFd of the floodplain depends on the shape of the bottom of the floodplain in order to simulate the timing between the rise of water level and its expansion. Finally, water from the floodplains reservoir that has not evaporated or reinfiltrated the soil flows into the stream reservoir of volume VB1 of the basin B after a delay. This delay is characterized by the time constant TFd (day) function of the surface of the floodplains SFd: Table 1. List of atmospheric forcing variables in NCC. Name Description Units Tair Two-meter air temperature K Qair Two-meter air specific humidity kg kg−1 Wind N Ten-meter wind speed (u component) m s−1 Wind E Ten-meter wind speed (v component) m s−1 Psurf Surface pressure Pa SWdown Surface downward short wave flux W m−2 LWdown Surface downward long wave flux W m−2 Rainf Rainfall rate kg m−2 s−1 Snowf Snowfall rate kg m−2 s−1 TFd = (gFd · k) · SFd SB (9) where gFd = 4.0 days m−1 is a property of the floodplain reservoir, SFd (m2) the surface of the floodplain and SB (m2) the surface of the basin. The value of gFd has been calibrated through observations in the Niger Inner Delta and can thus be different for the Amazon River basin as it will be shown in Sect. 5.1. Over swamp areas, a fraction of water α = 0.2 is uptaken from the stream reservoir of volume VA1 (QinSwp =αQinAp ). It is transferred into soil moisture (Fig. 1) and thus does not re- turn directly to the river. The swamp storage enhances tran- spiration of forest where the soil is saturated, reducing bare soil evaporation. 3 Datasets In this section, the datasets used in this work are presented: the atmospheric forcing, the validation data and the new rainfall and flooded areas distribution datasets used to force ORCHIDEE. 3.1 Atmospheric forcing The atmospheric data set used as input to ORCHIDEE is NCC (NCEP/NCAR Corrected by CRU data, Ngo-Duc et al., 2005) based on the NCEP/NCAR reanalysis project (Kistler et al., 2001) and in-situ observations. The spatial resolution is 1◦× 1◦ for the whole globe. The temporal resolution is six hours and the time series cover the 1948–2000 period. All variables present in the forcing are summarized in Ta- ble 1. The NCC precipitation is a hybridization of NCEP and CRU precipitation (New et al., 2000); the radiation is a hy- bridization of NCEP and SRB radiation (Surface Radiation Budget data produced at NASA Langley Research Center) used for a bias correction of the reanalysis product. The data have allowed 50-yr river flows to be simulated over the planet (Ngo-Duc et al., 2005). www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 916 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets Table 2. List of ORE HYBAM gauge stations over the Amazon River basin. Except for the streamflow at the river mouth (1972–2003), the mean annual discharge (Qmean) corresponds to the mean annual value of ORE HYBAM data for the mean time period 1980–2000. Station Abbreviation River Latitude Longitude Qmean (m3 s−1) Area (km2) Mouth (Callede et al., 2010) AMAZ Amazonas ∼ 0.00 ∼−50.5 206 000 5 961 000 ´Obidos OBI Amazonas −1.95 −55.30 169 515 4 680 000 Manacapuru MANA Solimoes −3.31 −60.61 100 819 2 242 400 Sao Paulo de Olivenc¸a SPO Solimoes −3.45 −68.75 46 206 990 781 Tamshiyacu TAM Solimoes −4.00 −73.16 30 530 726 400 Fazenda Vista Alegre FVA Madeira −4.68 −60.03 28 374 1 293 600 Porto Velho PVE Madeira −8.74 −63.92 19 418 954 400 Guajara-Mirim GMIR Mamore −10.99 −65.55 8041 532 800 Rurrenabaque RUR Beni −14.55 −67.55 1986 67 500 Labrea LAB Purus −7.25 −64.80 5472 230 000 Gaviao GAV Jurua −4.84 −66.85 4632 170 400 Acanaui ACA Japura −1.82 −66.60 14 075 251 800 Serrinha SER Negro −0.48 −64.83 16 193 291 100 Caracarai CARA Branco +1.83 −61.08 2780 130 600 Sao Francisco SFR Jari −0.41 −52.33 990 51 343 Altamira ALT Xingu −3.38 −52.14 8000 469 100 Itaituba ITA Tapajos −4.24 −56.00 11 789 461 100 3.2 Data of validation 3.2.1 ORE HYBAM gauge stations Discharge data has been gathered and complemented within the frame of the ORE (Environmental Research Observa- tory) HYBAM (Geodynamical, hydrological and biogeo- chemical control of erosion/alteration and material transport in the Amazon River basin – http://www.ore-hybam.org/), a partnership which associates the meteorological and hy- drological services of the Amazonian countries (Age´ncia Na- cional de ´Aguas Water National Office/ANA in Brazil (http: //www2.ana.gov.br/), Servicio Nacional de Meteorologı´a e Hidrologı´a/National Meteorology and Hydrology Ser- vice/SENAMHI in Peru (http://www.senamhi.gob.pe/) and Bolivia (http://www.senamhi.gob.bo/), Instituto Nacional de Meteorologı´a e Hidrologı´a / National Meteorology and Hy- drology Institute/INAMHI in Ecuador (http://www.inamhi. gov.ec/)) and the French Institute of Research for Develop- ment (IRD – http://www.ird.fr/). The rating curves have been determined using the stream gauging measurements, recently with Acoustic Doppler Current Profiler (ADCP), and have been used to convert the water level series into discharge data. The daily water level data were corrected when neces- sary, with missing values estimated by correlation with data from upstream or downstream stations. Sixteen stations out of eighty were chosen to realize the comparison with simu- lated data (Fig. 2 and Table 2). The choice of these stations depended on: – The length of the records. Those beginning in the late seventies were preferred to the others in order to get Fig. 2. Map of the Amazon River sub-basins and the main rivers. Localization of the main ORE HYBAM gauge stations (see Table 2 for their coordinates). Color is used to distinguish the different sub-basins. Topographic scale is indicated. 37 Fig. 2. Map of the Amazon River sub-basins and the main rivers. Localization of the main ORE HYBAM gauge stations (see Table 2 for their coordinates). Color is used to distinguish the different sub- basins. Topographic scale is indicated. longer common series with the simulated data. How- ever, in order to have information about most sub- basins, some short series were retained in places where no other record exists. – The proximity of the stations. A choice was made be- tween stations close to each other based on the reliabil- ity of their records (absence of missing values). Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 917 – The size of the river. Some very small rivers were not recognizable with ORCHIDEE due to the coarse resolution. 3.2.2 Topex/Poseidon measurements Surface monitoring by satellite altimetry has been performed on the whole Earth since 1993 (Cre´taux et al., 2011). Altime- try datasets are available over the main stem of the Amazon and the Rio Negro-Branco rivers for a time period common to ours (1993–2000) thanks to Topex/Poseidon satellite mis- sion. These measurements are used to assess the accuracy of ORCHIDEE to simulate floodplain height variability. 3.3 New basis of observations over the Amazon River basin In order to simulate the streamflow with higher accuracy over the Amazon River basin, a new set of observations of precipi- tation is used to force ORCHIDEE and validate NCC. A new map of MFF and MFS based on observations is also tested and compared with the initial map prescribed to the model. The details of the construction and implementation of these new datasets are described in this section. 3.3.1 ORE HYBAM precipitation Global rainfall datasets usually rely on very sparse in-situ observations over the Amazon River basin. Consequently, the Amazonian precipitation is often poorly represented in such datasets, especially regarding the plain of the Andean countries (Espinoza et al., 2009b). Within the frame of the ORE HYBAM, daily rainfall data from 1488 rain gauges have been gathered, from 1975 to 2009. A quality con- trol based on the application of the Regional Vector Method (RVM) on the rainfall values (Espinoza et al., 2009b) was then performed over the Amazon River basin. RVM en- ables to discriminate stations with lowest probability of er- rors in their series. Finally, 752 rain gauges approved by RVM were retained, with data covering more than five-year continuous periods. The density of ORE HYBAM stations is about 125 [/106 km2] over the Amazon basin. This den- sity is compared to the minimum rain gauge density require- ments to prevent the effect of poor forcing precipitation on runoff simulation. ORE HYBAM density is higher than Oki et al. (1999)’s (30 [/106 km2]) and Rudolf et al. (1994)’s (80 [/106 km2]) recommendations. Moreover, it is close to WMO (World Meteorological Organization) recommenda- tion (100 to 400 [/106 km2], WMO, 1994) for operational purposes. Because a few extremely rainy spots located on the foothills of the Eastern Andes bring large amounts of water to the western and south-western parts of the basin (Killeen et al., 2007), we then chose to replace missing values of these particular stations by estimated values using linear re- gressions or by long-term climatological means. A strong underestimation of the rainfall input is thus avoided for the periods when records of one or several of these wet spots are missing. The concerned locations are the Chapare region in Bolivia (Cristal Mayu and Misicuni stations), the Manu- Tambopata area (Quincemil and San Gaban stations) and the Selva Central region (Tingo Maria station) in Peru. In-situ observations were afterward spatially interpolated to the res- olution of NCC (1◦× 1◦). Geostatistics have been widely used to interpolate environmental variables such as rainfall (Goovaerts, 2000; Hevesi et al., 1992). Ordinary kriging has notably been shown to provide better estimates than con- ventional methods, as it takes into account the spatial de- pendence between neighbouring observations, which is ex- pressed by a semi-variogram. In this study, ordinary kriging was thus performed to generate an observation-based grid- ded daily rainfall dataset. Finally, because other NCC vari- ables were available at a 6-h temporal resolution, daily rain- fall grids were segmented at this resolution following a di- urnal cycle as described in NCC precipitation data. If the NCC precipitation is null for the four 6 h time-steps in the day, the ORE HYBAM daily value is spread equally over the time-steps. Mean annual value of NCC precipitation over the basin is about 2044 mm yr−1 whereas ORE HYBAM precipitation shows a higher value than NCC (2190 mm yr−1 i.e. +7.1 %). The mean annual spatial distribution in precipitation is shown over the Amazon River basin for both datasets in Fig. 3a,b and their difference is calculated (Fig. 3c). In both datasets, the spatial distribution of precipitation of the Amazon River basin is quite similar. The rainiest regions (3000 mm yr−1 and more) are located in the northwest of the basin (Colombia, North of the Ecuadorian Amazon, North- east of Peru and Northwest of Brazil). Rainfall is also abun- dant close to the average position of the South Atlantic Con- vergence Zone (SACZ), established during austral summer from the Northwest of the Amazon to the Subtropical South Atlantic (Vera et al., 2006). Rainfall decreases toward the tropics, reaching less than 1500 mm yr−1 in the Peruvian- Bolivian plain and toward the north in the Roraima Brazil- ian state. Rainfall also diminishes with altitude: in the An- des, over 2000 m, annual rainfalls lower than 1000 mm are the most frequent. However, some differences in precipita- tion rate exist between the two datasets. ORE HYBAM de- picts a sharp increase by 250 to 750 mm yr−1 of the amount of rainfall in the north-west of the basin toward the south- ern and eastern part of this area. Extremely high values can be measured in the wet spots of the Eastern Andes foothills, in positions that favor strong air uplift; in these very rainy spots scattered along the Cordillera, annual rainfall reaches 5000 to 6000 mm with ORE HYBAM (regions of Churuy- acu in Colombia, of the Reventador Volcano in Ecuador, of San Gaba´n and Tingo Maria in Peru, of the Chapare´ in Bo- livia) whereas these spots of precipitation are much less sig- nificant in NCC dataset. Finally, drier regions are present in ORE HYBAM compared to NCC over the south-east of the basin, the region of the Amazon mouth, the extreme north of the basin and over Ecuador and Central Peru. www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 918 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets (a) (b) (c) Fig. 3. Precipitation (mm yr−1) over the Amazon River basin from (a) NCC and (b) ORE HYBAM. (c) Differ- ences between (b) and (a). For topographic scale, see Fig. 2. 38 Fig. 3. Precipitation (mm yr−1) over the Amazon River basin from (a) NCC and (b) ORE HYBAM. (c) Differences between (b) and (a). For topographic scale, see Fig. 2. 3.3.2 Map of maximal fractions of floodplains and swamps Initially, the maps of MFF and MFS prescribed to OR- CHIDEE were derived from the GLWD dataset of Lehner and Do¨ll (2004) (hereafter called “GLWD”). In this study, a new map (hereafter called “PRIMA”) is produced where MFF and MFS are, respectively derived from Prigent et al. (2007) and Martinez and Le Toan (2007) dataset at 0.25◦× 0.25◦ and interpolated at 0.5◦× 0.5◦ for OR- CHIDEE. Prigent et al. (2007) estimated monthly inundated fractions over the world by multisatellite method for eight years (1993–2000). Then, for each 0.5◦ pixel of the Amazon River basin, as we need it for ORCHIDEE, we determine the maximum value that has been recorded during the 8 yr observation. As there is no distinction between floodplains and swamps in Prigent et al. (2007)’s estimates, we apply to the maximum value a ratio of their maximal distribution us- ing the 1995–1996 flood estimate by Martinez and Le Toan (2007) who distinguish floodplains and flooded forests areas. The GLWD and PRIMA maps are compared for flood- plains (Fig. 4) and swamps (Fig. 5). For both water sur- faces, the difference between the two maps is performed. For both datasets, floodplains are located along the main stem of the Solimoes-Amazon River, in the southern region of the basin in Llanos de Moxos and to a lesser extent along the Ireng river (in GLWD) or the Branco river (in PRIMA) in the northernmost region of the basin (Fig. 4). However, MFF of PRIMA map are globally higher than GLWD (respectively about 4.2 and 2.6 % of the total area of the Amazon River basin according to Table 3). Moreover, in PRIMA map, many MFF lower than 5 % within the mesh cover almost all the basin whereas GLWD does not give data over these re- gions. The difference in MFF between the two maps is par- ticularly high along the main stem of the Solimoes-Amazon River and especially near the mouth (between +5 to +15 % before Manacapuru to more than +70 % around ´Obidos, see Fig. 2 and Table 2 for localization of the two stations). We note that a small percentage of this difference (up to about 2 % around ´Obidos) is explained by the fact that Prigent et al. Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 919 (a) (b) (c) Fig. 4. Fraction of floodplains within the mesh (% of the mesh area) over the Amazon River basin from (a) GLWD and (b) PRIMA. (c) Differences between (b) and (a). Dark green and brown colors indicate the topography of the region. For topographic scale, see Fig. 2. 39 Fig. 4. Maximal fraction of floodplains within the mesh (% of the mesh area) over the Amazon River basin from (a) GLWD and (b) PRIMA. (c) Differences between (b) and (a). Dark green and brown colors indicate the topography of the region. For topographic scale, see Fig. 2. (2007)’s data take into account the surface of the river while Lehner and Do¨ll (2004) data does not. In the south, the re- gion of Llanos de Moxos shows the same order of increase in MFF with PRIMA dataset particularly over the Mamore´ river in Bolivia. In Llanos de Moxos and along the main stem of the Solimoes-Amazon River, PRIMA is in better agreement with Hamilton et al. (2002)’s estimates with an underestimation of MFF by 30 % which is much lower than GLWD (near 100 %) according to Table 4. In the North, at Roraima region, PRIMA is again in better agreement with Hamilton et al. (2002)’s estimates (about +15 %) than GLWD (about −70 %). For MFS, PRIMA presents half the extent of GLWD across the river basin (Table 3). According to Fig. 5c, this decrease is observed over the western part of the basin and mainly in the Northern Peruvian region (up to 45 % more over some pixels), the south-easternmost part of the basin and along the main stem near the mouth of the Amazon River. On the other hand, an increase of MFS compared to GLWD is observed over southern regions of the basin mainly over Llanos de Moxos (up to 45 % more over some pixels) and along the Negro and Branco rivers. Table 3. Proportions of maximal fractions of floodplains (MFF), swamps (MFS) and lakes (% of the areas of the basin) over the Amazon River basin according to GLWD and PRIMA datasets. Flooded areas GLWD PRIMA MFF 2.59 % 4.22 % MFS 15.4 % 7.97 % Lakes 0.79 % Total 18.8 % (1.17× 106 km2) 12.9 % (0.80× 106 km2) To summarize, combining floodplains and swamps, the to- tal maximal fractions in PRIMA are lower on average over the Amazon River basin when compared to GLWD (Ta- ble 3). Estimates over Central Amazon were performed by Hess et al. (2003) for the flood period May–August 1996 where water surfaces have been differentiated and classified. We sum the two classes “Non vegetated-flooded” and “Non woody-flooded” for comparison with our “Floodplains” class and “Woody-flooded” class is considered to be equivalent to www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 920 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets Table 4. Maximal areas in floodplains (km2) from satellite estimates (Hamilton et al., 2002; Hess et al., 2003) and the two datasets GLWD and PRIMA. Number in brackets is the relative error (in %) between the datasets and the estimates. Region Lon Lat Hamilton et al. (2002) Hess et al. (2003) GLWD PRIMA Central Amazon 72.0◦ W:54.0◦ W 8.00◦ S:0.00◦ S – 277 440∗ 173 395∗ (−37.5) 231 418∗ (−16.6) Mainstem of the Amazon 70.0◦ W:52.0◦ W 2.00◦ S:5.00◦ S 97 360 – 6245 (−93.6) 69 862 (−28.2) Llanos de Moxos 68.0◦ W:61.0◦ W 16.0◦ S:12.0◦ S 92 094 – 5217 (−94.3) 64 879 (−29.6) Roraima 61.5◦ W:59.0◦ W 2.25◦ N:4.50◦ N 16 530 – 4466 (−73.0) 19 168 (+16.0) ∗ Swamps are included. (a) (b) (c) Fig. 5. Fraction of swamps within the mesh (% of the mesh area) over the Amazon River basin from (a) GLWD and (b) PRIMA. (c) Differences between (b) and (a). Dark green and brown colors indicate the topography of the region. For topographic scale, see Fig. 2. 40 Fig. 5. Maximal fraction of swamps within the mesh (% of the mesh area) over the Amazon River basin from (a) GLWD and (b) PRIMA. (c) Differences between (b) and (a). Dark green and brown colors indicate the topography of the region. For topographic scale, see Fig. 2. “Swamps”. On average over the Central Amazon, PRIMA shows an underestimation of less than 20 % of total MFF and MFS compared to Hess et al. (2003)’s estimates whereas GLWD underestimation is near by 40 % (Table 4). Moreover, according to Hess et al. (2003), flooded forest (i.e. swamps) constituted nearly 70 % of the entire wetland area during high water period in this region. The distribution of swamps according to PRIMA is close to this estimate with a value of 61 % whereas GLWD largely overestimates it (95 %). Figure 6 shows a comparison in MFF and MFS between Hess et al. (2003)’s estimates, GLWD and PRIMA datasets in three points over the main stem of the Amazon River. MFF with GLWD is systematically underestimated throughout the main stem whereas PRIMA is in better agreement with esti- mates even if MFF remains lower than the estimates by Hess et al. (2003). MFS in PRIMA is well distributed at Curuai (about 20 %) and Cabaliana (about 40 %) but for the west- ern region of the main stem, GLWD gives much higher MFS Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 921 Fig. 6. Comparison of MFF and MFS to Hess et al. (2003)’s observations in different parts of the main stem: Mamiraua near Tefe´, Cabaliana near Manacapuru and Curuai near O´bidos. Floodplains from Hess et al. (2003) are considered as the sum of “Non vegetated-flooded” and “Non woody-flooded” classes. Swamps are consid- ered as the equivalent of “Woody-flooded” class. Color is used to distinguish the different sub-basins. 41 Fig. 6. Comparison of MFF and MFS to Hess et al. (2003)’s observations in different parts of the main stem: Mamiraua near Tefe´, Cabaliana near Manacapuru and Curuai near ´Obidos. Floodplains from Hess et al. (2003) a e considered as the sum of “Non vegetat d-flooded” and “Non woody-flooded” classes. Swamps are considered as the equivalent of “Woody-flooded” class. Color is used to distinguish the different sub-basins. (about 65 %) than PRIMA (about 35 %) in agreement with estimates (about 70 %). 4 Simulated water budget and streamflows over the basin: impact of NCC precipitation corrected by ORE HYBAM 4.1 Simulated water budget Water balance analysis led to many estimates from mod- els, reanalysis and, subsequently, measurements of fluxes. A non-exhaustive list of the annual values from some esti- mates in the literature (mainly from Large Scale Biosphere- Atmosphere Experiment in Amazonia, LBA, measurements) is given in Table 5 in average over the Amazon River basin and in different regions of the basin. In compari- son, results from simulations ORCH1 (ORCHIDEE forced by NCC) and ORCH2 (ORCHIDEE forced by NCC cor- rected by ORE HYBAM precipitation) are shown. Accord- ing to the different estimates, the water budget components over the whole basin are about 6.2± 1.1 mm d−1 in precip- itation P , 3.9± 0.7 mm d−1 in evapotranspiration (ET) and 2.99 mm d−1 in runoff (R). We note that the uncertainty is high in the estimations in P and E (their standard deviations, calculated from the annual values, are around 1.0 mm d−1). Runoff is estimated from one value from Callede et al. (2010)’s estimate with an error of 6 %. Moreover, accord- ing to Marengo (2006), the different estimates of areas of the Amazon River basin generate uncertainty in the estima- tions of runoff at the mouth of the Amazon. Thus, an uncer- tainty also exists in comparison with simulated runoff. In the model, it is computed from a total surface of basin equal to 5 853 804 km2 (Fekete et al., 1999) which is lower (−1.8 %) than Callede et al. (2010)’s estimate (5 961 000 km2). Precip- itation over the whole basin is about 5.6 mm d−1 according to NCC. It is underestimated when compared to the average value of the estimations. Furthermore, it is also lower than the median of the observations (5.9 mm d−1). NCC value is higher than GPCP estimate (5.2 mm d−1), equal to CMAP but underestimated when compared to the five other esti- mates. ORE HYBAM data (6.0 mm d−1) is closer to the av- erage value and the median of the estimations. It is equal to CRU average value and close to the estimates by Marengo (2005) (5.8 mm d−1) and LW (5.9 mm d−1). Simulated ET over the whole basin (about 2.8 mm d−1) seems to be un- derestimated when compared to the average value given by Da Rocha et al. (2009). ET variation between the two simu- lations is not significant. ET is more limited by the amount of incident energy, which is the same in both simulations, rather than by precipitation change. The resulting simulated runoff at the mouth of the Amazon is underestimated by 6 % compared to Callede et al. (2010)’s estimate when NCC pre- cipitation is used. The correction by ORE HYBAM data leads to an overestimation of R by 8.4 %. If we consider that ORE HYBAM precipitation is closer to the observations than NCC, the overestimation of R is mainly due to the low www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 922 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets T able 5.M ean an n u al v alues ofprecipitation(P), ev apotranspiration(ET) and total ru n off(R)(allin m m d − 1)from estim ates and sim ulationsO RCH 1 and O RCH 2 o v er the A m azon Riv erbasin and different regions of the basin.V aluesbetw een brack ets are the m ean an n u al relativ e erro rs(in %)betw een sim ulationsO RCH s and estim ates.T otal sim ulated ru n offis the su m of su rface ru n off and deep drainage m inus the reinfiltration of w ater o v erfloodplains and the returnflo w to the soil o v er the sw am ps. Tim e period can be different acco rding the study .B etw een 1980–2000, estim ates are co m pared w ith O RCH ID EE resultsforthe co rresponding tim e period ofthe sim ulation.O therw ise,the av erage ofthe 21yr of sim ulation is u sed.(a)Fro m 29 estim ated v alues calculated by m ass and en ergy b alance m odels and global m odel rean alysisdata.(b)Estim ated v aluesfrom rain g auge stations(M arengo ,2005) and sev eraldata so u rces:G lobalH istoricalClim atology N etw o rk(GHCN,V o se et al. ,1992),N O A A Clim ate Prediction Center(CPC)M erged A nalysis ofPrecipitation(CM AP ,X ie and A rkin ,1997),G lobalPrecipitation Clim atology Project(GPCP ,H uffm an et al. ,1995),N ationalCentersforEnvironm entalPrediction(NC EP),Leg ates-W ilm ott(LW ,Leg ates and W illm ott ,1992) and Clim ate R esearch U nit(CRU ,N ew et al. ,2000)data. Site Study D ata O RCH 1 O RCH 2 Site(City ,State) Site ID Lon( ◦W ) Lat( ◦S) R eference Tim e period Site type P ET R P ET R P ET R – – D a R ocha et al.(2009)(a) – – – 2.70 to5.20 – 2.82 2.76 A m azon Riv erbasin – – M arengo(2006)(b) 1970–1999 – 5.20 to8.60 – – 5.63 6.00 – – Callede et al.(2010) 1972–2003 – – – 2.99 2.81(− 6.02) 3.24(+8.36) ZF2–K m 14 K 14 60.12 2.59 M alhi et al.(2002) Sep 1995–A ug 1996 Flux to w er 5.72 3.08 – 6.65(+16.3) 2.88(− 6.49) – 6.80(+18.9) 2.79(− 9.42) – (M anaus,A m azonas) ZF2–K m 34 K 34 60.20 2.60 A raujo et al.(2002) Jul1999–Sep 2000 Flux to w er 7.48 3.10 – 6.26(− 16.3) 2 .93(− 5.48) – 5.96(− 20.3) 2.84(− 8.39) – (M anaus,A m azonas) D uck e reserv e D CK 59.95 2.95 Shuttlew o rth(1988) Sep 1983–Sep 1985 Field site 7.19 3.66 – 5.83(− 18.9) 2.63(− 28.1) – 6.90(− 4.03) 2.52(− 31.1) – (M anaus,A m azonas) K m 83–Logged forest K 83 55.00 3.02 D a R ocha(2004) Jul2000–July 2001 Flux to w er 6.03 3.45 – 5.48(− 9.12) 3.03(− 12.2) – 5.55(− 7.96) 2.90(− 15.9) – (Santare´m ,P ara w estern) Jav aes riv er atB ananalIsland JAV 50.15 9.82 B orm a et al.(2009) O ct2003–Sep 2006 Flux to w er 4.64 3.65 – 5.19(+11.9) 3.35(− 8.22) – 5.43(+17.0) 3.36(− 7.95) – (Pium,T o cantins) BiologicalR eserv e ofJaru RJA 61.93 10.08 V o n R ando w et al.(2004) Feb 1999–Sep 2002 Flux to w er 5.95 3.70 – 5.23(− 12.1) 3 .02(− 18.4) – 5.64(− 5.21) 2.93(− 20.8) – (Ji–P aran a,R ondonia) Sinop SIN 55.33 11.41 V o u rlitis et al.(2002) A ug 1999–Jul2000 Flux to w er 5.83 3.07 – 6.28(+ 7.72) 3.34(+8.79) – 6.14(+5.32) 3.17(+3.26) – (Sinop,M ato G rosso) Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 923 Table 6. Comparison of the mean annual values (all in mm d−1) of precipitation (P ), transpiration (Tv) and evaporation of water over the leaves (Ev) between measurements by Shuttleworth (1988) near Manaus (Ducke Reserve, see Table 5 for the coordinates) and results from the two simulations ORCH1 and ORCH2, over the mean time period September 1983–September 1985. Values between brackets and r2 are, respectively the mean annual relative error (%) and the coefficient of correlation between simulation and observation. P Ev Tv mm d−1 (%) r2 mm d−1 (%) r2 mm d−1 (%) r2 Shuttleworth (1988) 7.19 – 0.91 – 2.75 – ORCH1 5.83 (−18.9) 0.66 1.61 (+76.9) 0.61 0.93 (−66.2) 0.71 ORCH2 6.90 (−4.03) 0.71 1.16 (+27.5) 0.73 1.27 (−53.8) 0.77 Fig. 7. Map of locations of flux towers stations (in red). See Table 5 for the coordinates of the stations. Color is used to distinguish the different sub-basins. For topographic scale, see Fig. 2. 42 Fig. 7. Map of locations of flux towers stations (in red). See Table 5 for the coordinates of the stations. Color is used to distinguish the different sub-basins. For topographic scale, see Fig. 2. ET simulated in the model. Simulated P and ET are also compared with measurements (Table 5) from six LBA flux towers and one field site. They are located along the main stem of the Amazon River and over the south-eastern part of the basin (see Fig. 7 for the localization). The results con- firm the underestimation in simulated ET for both simula- tions in the central region of the basin (K14, K34, DCK and K83) and in the south (RJA and JAV). The underestimation at JAV is only 8 % but may be more since P in the model is high compared to observation (+12 to +17 %). Moreover, the low underestimation at JAV and the slight overestimation at SIN (+3 to 9 %) in ET compared to measurements occur in a region facing deforestation. However, in this region, the tropical forest covers 98 % of the grid cell area in the model, whereas the measurements have been performed over a tran- sitional tropical forest. Thus, since ORCHIDEE does not take into account deforestation, the comparison with obser- vation in this region may be biased where simulated ET can be overestimated. Regarding the underestimation in ET near Manaus, mea- surements of precipitation and ET are available for two years (September 1983–September 1985) (Shuttleworth, 1988). Moreover, evaporation over leaves (Ev) and transpiration (Tv) data are distinguished. Table 6 shows a comparison of the annual rate of these variables between the two simula- tions and observations. First, the results in precipitation show an underestimation in annual rate between observations and both simulations. However, underestimation is lower (−4 %) when NCC is corrected by ORE HYBAM data. Moreover, a better accuracy in variability is found compared to mea- surements (r2 of ORCH1 and ORCH2 are, respectively 0.66 and 0.71). Both forcings give less precipitation than observed at the end of 1984 and particularly in December (Fig. 8a). Then, ORCH2 is in better agreement with measurements dur- ing the dry period. During the next wet period in 1985, the variability of precipitation is not well represented in both simulations. ORE HYBAM overestimates precipitation at the end of the wet 1985 period. The use of daily precip- itation from ORE HYBAM database does not change the underestimated simulated ET (Table 5). In fact, the radia- tive budget is not affected and the energy available to evap- orate remains the same. However, the use of ORE HYBAM daily rainfall dataset change the ratio between evaporation of water over the leaves (Ev) and transpiration (Tv). Vari- ation of Ev during the time period is improved in ORCH2 compared to ORCH1 (the coefficients of correlation with ob- servations are, respectively 0.6 and 0.7 with ORCH1 and ORCH2, Table 6) where a low seasonality was simulated throughout the period (Fig. 8b). Moreover, Ev overestima- tion observed with ORCH1 (+77 %) is reduced by more than half (+27.5 %) on average over the period with ORCH2 (Ta- ble 6). As Ev is reduced, Tv increases with ORCH2 but re- mains underestimated (respectively about 54 and 66 % for ORCH1 and ORCH2 according to Table 6) throughout the time period (Fig. 8c). However, the seasonal variation is in agreement with observations (r2 is, respectively 0.7 and 0.8 with ORCH1 and ORCH2 according to Table 6) where dry season and wet season are well differentiated (Fig. 8c). www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 924 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets (a) (b) (c) Fig. 8. Comparison of times series of (a) precipitation (P ), (b) evaporation of water over the leaves (Ev) and (c) transpiration (Tv) (all in mm d−1) between the two simulations (ORCH1 and ORCH2) and estimates from Shuttleworth (1988) near Manaus (Ducke Reserve), over the period September 1983–September 1985. 43 Fig. 8. Comparison of times series of (a) precipitation (P ), (b) evaporation of water over the leaves (Ev) and (c) transpiration (Tv) (all in mm d−1) between the two simulations (ORCH1 and ORCH2) and estimates from Shuttleworth (1988) near Manaus (Ducke Reserve), over the period September 1983–September 1985. The precipitation over the Amazon River basin is im- proved by the use of ORE HYBAM daily dataset. However, ET does not change between the two simulations and remains underestimated compared to observations. This discrepancy may be attributed to the low transpiration simulated by the model that has been pointed out at Manaus. In ORCH2, the resulting simulated runoff at the mouth of the Amazon is consequently overestimated. In the next section, the annual simulated streamflow variation will be studied in the main sub-basins of the Amazon. Moreover, results in streamflow will be discussed when the observations of precipitation and floodplains/swamps distribution are implemented in the forc- ing of the model. 4.2 Simulated river discharge at ´Obidos and over the sub-basins of the Amazon River The mean annual streamflow estimated at the mouth of the Amazon River basin is about 206× 103 m3 s−1 (2.99 mm d−1) with an error of 6 % due to the method, for a total area of 5 961 000 km2 and the time period 1972–2003 (Callede et al., 2010). Simulated streamflow is given at the pixel of the routing network correspond- ing to the mouth of the basin of a total surface equal to 5 853 804 km2 in the model (Fekete et al., 1999). Accord- ing to ORCH1, simulated streamflow at the mouth is un- derestimated (191× 103 m3 s−1) compared to Callede et al. (2010)’s estimates (−7.42 %) whereas with ORCH2, an over- estimation is found (220× 103 m3 s−1 i.e. +6.56 %). We note that the differences in streamflow between simulation and observation are of the same order than the estimated error in observation. The increase of about 15 % in streamflow of the Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 925 (a) (b) Fig. 9. Mean relative error of Qmean (%) between simulations ((a) ORCH1, (b) ORCH2) and observation over the time period 1980–2000. The color indicates the sign of the error: red is negative error, blue is positive error and grey is very low error. The error is represented for the different stations (colored circles) and their associ- ated sub-basins (same color than the corresponding station). Five residual basins are also represented: SPO*, MANA*, OBI*, PVE* and FVA*. Qmean of each residual basin is the difference between the downstream and the upstream station(s) Qmean. Thus, the color of the residual basin can be different from the color of the downstream station. For topographic scale, see Fig. 2. 44 Fig. 9. Mean relative error of Qmean (%) between simulations – (a) ORCH1, (b) ORCH2 – and observation over the time period 1980–2000. The color indicates the sign of the error: red is negative error, blue is positive error and grey is very low error. The error is represented for the different stations (colored circles) and their associated sub-basins (same color than the corresponding station). Five residual basins are also represented: SPO*, MANA*, OBI*, PVE* and FVA*. Qmean of each residual basin is the difference between the downstream and the upstream station(s) Qmean. Thus, the color of the residual basin can be different from the color of the downstream station. For topographic scale, see Fig. 2. Amazon between ORCH1 and ORCH2 is mainly due to the increase in precipitation (+6.75 %) (ET did n t change) when NCC data is corrected by ORE HYBAM. At the ´Obidos sta- tion, which is the nearest gauged station from the outlet of the basin, mean annual simulated str amflow with ORCH1 is highly underestimated (−15 %) compared to ORE HYBAM discharge measurements, whereas with ORCH2 it is in good agreement with ORE HYBAM (−0.25 %) (Table 7). Thus, between ´Obidos and the mouth of the Amazon, a large quan- tity of water, overestimated in both simulations, comes from the south-eastern river basins (Xingu and Tapajos Rivers) as found at Itaituba (+20 %) and Altamira (more than +90 %) according to Table 7 (see Fig. 2 and Table 2 for localization of the stations). At ´Obidos station, about 20 % of discharge comes from southern basins (Fazenda Vista Alegre), 20 % from northern basins (Acanaui, Serrinha, Caracarai), 30 % from western/south-western basins (Sao Paulo de Olivenc¸a, Gaviao, Labrea) and 30 % from central residual basins (be- tween Sao Paulo de Olivenc¸a and Manacapuru – hereafter called “MANA*” – and between Manacapuru and ´Obidos – hereafter called “OBI*”) (Espinoza et al., 2009a) (see Fig. 2 and Table 2 for localization of the stations). With simula- tion ORCH1, the underestimation of streamflow at ´Obidos is mainly due to the low streamflow over western/south- western regions of the basin (near −35 % at Tamshiyacu) and over the two central residual basins (between −25 to more than −35 %) (Fig. 9a). The streamflow coming from the south is close to the observations but it is a compensation between th overestimation at Rurrenabaque and Guajara- Mirim and the underestimation over the two southern resid- ual basins (hereafter called “PVE*” and “FVA*”). Simu- lat d streamflow in orthern stations like Acanaui and Ser- rinha is close to the observations and an overestimation is ob- served over the northernmost region of the basin at Caracarai. The correction of NCC precipitation by ORE HYBAM data leads to a decrease of the error with observation over An- dean sub-basins (−24 % at Tamshiyacu) and over the resid- ual basin of MANA* where the precipitation has been sig- nificantly increased (Fig. 9b). Simulation of streamflow over the residual basin of OBI* is not improved. It can be due to the lack of available rainfall gauges for kriging over this region (see Fig. 1 of Espinoza et al., 2009b). The overes- timation of streamflow over all the southern sub-basins (ex- cept Rurrenabaque) by 25 % to more than 35 %, mainly due to the increase of the rainy spots, leads to an excess of water at Fazenda Vista Alegre. Consequently, simulated stream- flow from ORCH2 at ´Obidos station, close to the observa- tions, is a result of a compensation between southern and western/south-western regions. The observed streamflow at ´Obidos has a pronounced seasonality during the year (Fig. 10a). Flow is high- est, on average, during May and June with a maximum value of about 230× 103 m3 s−1. Then, a decrease occurs during five months until the low-flow in November (near 103× 103 m3 s−1). Simulated streamflow is time shifted in www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 926 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets T able 7. Statistical results of observ ed and sim ulated discharges(Q m ean , Q m in , Q m ax (allin m 3 s − 1),N ash co efficient and N -R M SE (%))for the studied stations o v er the period 1980–2000.V aluesbetw een brack ets are relativ e differences(%)betw een sim ulation and estim ate. O bserv ed O RCH 1 O RCH 2 O RCH 3 O RCH 4 Sta. Q m ean Q m in Q m ax Q m ean Q m in Q m ax N ash N -RM SE Q m ean Q m in Q m ax N ash N -R M SE Q m ean Q m in Q m ax N ash N -RM SE Q m ean Q m in Q m ax N ash N -RM SE O BI 169515 101934 231719 144084 60440 242756 0.08 27.80 169091 84409 260867 0.40 22.50 166913 106951 215933 0.54 19.60 167188 91254 237118 0.80 12.90 (− 15.0) (− 40.7) (4.80) (− 0.25) (− 17.2) (12.6) (− 1.54) (4.92) (− 6.81) (− 1.37) (− 10.5) (2.33) M A N A 100819 62135 135592 80455 34660 130141 − 0.65 34.31 96232 50131 142233 0.15 24.67 96566 48572 144304 0.24 23.36 96584 48029 145463 0.11 25.24 (− 20.2) (− 44.2) (− 4.00) (− 4.55) (− 19.3) (4.90) (− 4.22) (− 21.8) (6.43) (− 4.20) (− 22.7) (7.28) SPO 46206 23773 67958 33154 12586 57803 − 0.21 37.33 38228 17399 59197 0.53 23.11 37910 15965 60558 0.49 24.15 * * * (− 28.2) (− 47.1) (− 14.9) (− 17.3) (− 26.8) (− 12.9) (− 17.9) (− 32.8) (− 10.9) TA M 30530 15062 46086 19884 7207 36859 − 0.69 46.04 23120 10666 36181 0.26 30.45 22593 9721 36085 0.19 31.93 * * * (− 34.9) (− 52.1) (− 20.0) (− 24.3) (− 29.2) (− 21.5) (− 26.0) (− 35.5) (− 21.7) G AV 4653 948 8788 6389 500 15050 − 0.67 84.01 7244 899 15983 − 1.30 98 .79 7197 839 16105 − 1.30 98.67 * * * (37.3) (− 47.3) (71.2) (55.7) (− 5.16) (81.9) (54.7) (− 11.6) (83 .3) LA B 5472 1010 11043 6217 383 16448 0.30 59.47 6543 510 15892 0 .46 52.00 6755 514 16450 0.38 55,98 * * * (13.6) (− 62.0) (48.9) (19.6) (− 49.5) (43.9) (23.4) (− 49.1) (49 .0) FVA 28374 6311 56730 32098 3582 79042 0.35 52.60 43080 7232 96767 − 0.59 82 .27 42004 6934 93545 − 0.23 72.36 42062 6712 93903 − 0.28 73.65 (13.1) (− 43.2) (39.3) (51.8) (14.6) (70.6) (48.0) (9.88) (64.9) (48.2) (6.36) (65.5) PV E 19418 5136 36677 19151 2714 47145 0.52 41.32 28705 5521 64734 − 0.65 76 .48 27870 5287 62290 − 0.34 69.03 27923 5031 62696 − 0.38 69.87 (− 1.40) (− 47.1) (28.5) (47.8) (7.50) (76.5) (43.5) (2.94) (69.8) (43.8) (− 2.04) (70.9) G M IR 8041 1782 15405 6377 885 15956 0.29 54.46 10111 1115 24883 − 0.45 77 .81 9567 970 24632 − 0.05 66.34 9620 871 24524 − 0.07 66.92 (− 20.7) (− 50.3) (3.60) (25.7) (− 37.4) (61.5) (18.9) (− 45.6) (59 .9) (19.6) (− 51.1) (59.2) RU R 1986 546 4865 1137 114 3389 0.34 60.06 1802 314 4800 0.68 42.13 1796 308 4793 0.67 42.46 * * * (− 42.7) (− 79.2) (− 30.3) (− 9.27) (− 42.6) (− 1.34) (− 9.58) (− 43.6) (− 1.48) ITA 11902 4006 23470 14168 624 40387 − 0.32 71.52 14153 830 35467 0.19 55.98 13962 651 35768 0.24 54.18 13964 651 35795 0.24 54.46 (19.0) (− 84.4) (72.1) (18.9) (− 79.3) (51.1) (17.3) (− 83.7) (52 .4) (17.3) (− 83.8) (52.5) A LT 7956 1164 20568 15164 536 47426 − 2.29 164.6 15436 796 42111 − 1.60 146.4 15325 650 43349 − 1.51 144.0 15327 657 43450 − 1.54 145.0 (90.6) (− 54.0) (131) (94.0) (− 31.6) (105) (92.6) (− 44.2) (111) (92.7) (− 43.5) (111) ACA 14089 7165 21816 13677 7302 21918 − 0.05 40.34 17515 10149 27074 − 0.07 40 .72 17633 10278 27258 − 0.06 40.45 * * * (− 2.90) (1.90) (0.47) (24.3) (41.6) (24.1) (25.2) (43.4) (24.9) SER 16193 7621 26921 14433 7472 23208 0.56 26.88 16692 8998 26685 0.79 18.76 16354 8828 26034 0.80 18.18 16354 8825 26040 0.80 18.22 (− 10.9) (− 2.00) (− 13.8) (3.08) (18.1) (− 0.88) (0.99) (15.8) (− 3.30) (0.99) (15 .8) (− 3.27) CA RA 2777 691 7232 4742 559 13567 − 0.89 120.2 3809 601 9918 0.49 62.64 3755 600 9780 0.49 62.74 3768 588 9772 0.49 62.46 (70.7) (− 19.2) (87.6) (37.1) (− 13.0) (37.1) (35.2) (− 13.2) (34 .9) (35.6) (− 14.9) (35.1) SFR 990 199 2371 2220 86 6331 − 5.45 209.0 2024 192 5297 − 3.02 165.0 * * * (124) (− 57.1) (167) (105) (− 3.81) (123) * * * M eans thatthere w as n o change co m pared to previous sim ulation . Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 927 (a) (b) Fig. 10. Mean monthly discharge (m3 s−1) at O´bidos for simulations ORCH1 and ORCH2 compared to obser- vations. (a) Mean annual seasonality and (b) interannual variation over the time period 1980–2000. 45 Fig. 10. Mean monthly discharge (m3 s−1) at ´Obidos for simulations ORCH1 and ORCH2 compared to observations. (a) Mean annual seasonality and (b) interannual variation over the time period 1980–2000. both simulations compared to the observations (Fig. 10a). In fact, according to cross-correlation statistic (see Appendix for more details), correlation between simulated and ob- served discharges would be optimal if a time lag of 1 month was applied (dt = 1 and rcross = 0.91, rcross = 0.93 for ORCH1 and ORCH2, respectively). However, Nash coefficient (see Appendix for more details) is increased when ORCHIDEE is forced by NCC precipitation corrected by ORE HYBAM (0.08 and 0.40, respectively for ORCH1 and ORCH2 ac- cording to Table 7) indicating a significant improvement of the simulation in streamflow at ´Obidos when ORE HYBAM precipitation is used. The simulated interannual variation in streamflow is better captured with ORCH2 according to the coefficient of variation of the root mean squared error (see Appendix for more details) which is lower (22.5 %) than with ORCH1 (28 %). The simulated low-flow is improved (−17 % with ORCH2 compared to−41 % with ORCH1) but remains underestimated for most years whereas simulated high-flow is slightly overestimated with ORCH2 (+5 %) even more during some dry years (1981, 1985, 1992) (Fig. 10b). Figure 11 depicts all the simulated seasonal cycles for both simulations at the sixteen stations across the Amazon River basin and are compared to the observed seasonality. Northern stations show an underestimation in high-flow in the west- ern part (Acanaui and Serrinha) and an overestimation in the eastern part (Caracarai and Sao Francisco). Low-flow is underestimated everywhere except in the north at Acanaui and Serrinha. The improvement of the seasonal cycles at Tamshiyacu and Sao Paulo de Olivenc¸a is pointed out when precipitation is corrected by ORE HYBAM data. The un- derestimation in low-flow is reduced by about 50 %. The Nash coefficient becomes positive in these stations, reach- ing 0.5. This mainly contributes to the increase in low flow at ´Obidos with ORCH2 compared to ORCH1 and becomes in better agreement with observations. Moreover, the in- crease in precipitation in the north-western part of the basin induces a better seasonality. At station Acanaui, no change in Nash coefficient is shown but at Serrinha, the seasonality is well captured when compared to observations (Nash coef- ficient reaches about 0.80). Interannual variation of stream- flow at this station is also well simulated as shown in Fig. 12 (N-RMSE for ORCH1 and ORCH2 are, respectively about 27 % and 19 %). A better capture of high-flow with ORCH2 is shown (−1 % of mean annual relative error with obser- vations) and high-flow of each year from 1986 to 1993 is in better agreement with observations than with ORCH1 www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 928 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets Fig. 11. Mean seasonal discharges (m3 s−1) over the sub-basins for simulations ORCH1 and ORCH2 compared to observations, over the mean period 1980–2000. The stations are organized according their locations (North (N), North-East (NE), East (E), South-East (SE), South-West (SW), West (W) and North-West (NW)). 46 Fig. 11. Mean seasonal discharges (m3 s−1) over the sub-basins for simulations ORCH1 and ORCH2 compared to observations, over the mean period 1980–2000. The stations are organized according their locations – North (N), North-East (NE), East (E), South-East (SE), South-West (SW), West (W) and North-West (NW). Fig. 12. Interannual variation of monthly discharge (m3 s−1) at Serrinha for simulations ORCH1 and ORCH2 compared to observations, over the time period 1980–2000. 47 Fig. 12. Interannual variation of monthly discharge (m3 s−1) at Serrinha for simulations ORCH1 and ORCH2 compared to observations, over the time period 1980–2000. where they are systematically underestimated. In north- ern and north-eastern regions, simulated streamflow is im- proved (high-flow indeed) by the decrease in precipitation at Caracarai and Sao Francisco. Interannual variation of high- flow is better captured at Caracarai with ORCH2 (Fig. 13): the coefficient of correlation with observations is about 0.86 compared to 0.74 with ORCH1. Improvements are less pronounced for stations in south-eastern regions (Altamira and Itaituba) where a decrease in precipitation was intro- duced. Concerning southern stations, simulated streamflow Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 929 Fig. 13. Interannual variation of maximal monthly discharge (m3 s−1) at Caracarai for simulations ORCH1 and ORCH2 compared to observations, over the time period 1980–2000. 48 Fig. 13. Interannual variation of maximal monthly discharge (m3 s−1) at Caracarai for simulations ORCH1 and ORCH2 compared to observations, over the time period 1980–2000. (a) (b) Fig. 14. Mean monthly seasonal discharge (m3 s−1) at O´bidos for simulation ORCH3 compared to (a) ORCH2 and (b) ORCH4. Comparison with observations is shown over the mean time period 1980–2000. 49 Fig. 14. Mean monthly seasonal discharge (m3 s−1) at ´Obidos for simulation ORCH3 compared to (a) ORCH2 and (b) ORCH4. Comparison with observations is shown over the mean time period 1980–2000. is degraded following the increase in precipitation. The over- estimation in high flow simulated with ORCH1 is accentu- ated except for Rurrenabaque where streamflow seasonality is well simulated (−1.3 % of mean annual relative error with ORCH2). One can expect an underestimation in ET by OR- CHIDEE over southern regions of the Amazon River basin as far as ORE HYBAM precipitation is satisfactory. 5 Impact of the new distribution in maximal fractions of floodplains and swamps on river discharge 5.1 Discharge at ´Obidos and model calibration The introduction of a new map of MFF and MFS (simula- tion ORCH3), improves the seasonality of the streamflow at ´Obidos – ORCH3 Nash coefficient is higher (0.54) than ORCH2 one (0.40) and N-RMSE is lower (19.6 compared to 22.50) according to Table 7. The increase in MFF over the main stem of the Amazon smoothes the increase in stream- flow similarly to the observations (Fig. 14a) but delays the high-flow by one month (dt =−1 and rcross = 0.90). In order to improve the timing of the high-flow, a calibration of the time constant of the floodplains reservoir, which was evalu- ated over the Niger Inner Delta (gFd = 4.0 days), is performed in simulation ORCH4. The delay is corrected with a value of 2.5 days for the parameter gFd (dt = 0 and rcross = 0.91) as shown in Fig. 14b, leading to a value of high-flow similar to observation (+2 % of error in Qmax). The Nash coefficient is consequently increased (0.80). The increase in MFF over the region of Llanos de Moxos delays the peak of high-flow to March–April in agreement with observations leading to a better capture of low-flow period from August to November (Fig. 15a). Moreover, www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 930 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets (a) (b) Fig. 15. Mean monthly seasonal discharge (m3 s−1) at (a) Guajara-Mirim and (b) Caracarai for simulation ORCH3 compared to ORCH2 and observations, over the mean time period 1980–2000. 50 Fig. 15. Mean monthly seasonal discharge (m3 s−1) at (a) Guajara-Mirim and (b) Caracarai for simulation ORCH3 compared to ORCH2 and observations, over the ean time period 1980–2000. Fig. 16. Map of locations of virtual stations on Topex/Poseidon ground tracks available for the period 1993– 2000: 4 locations on the mainstem (ID An with n=1 to 4 in light blue) and 4 locations on the Rio Negro-Branco (ID Bn with n= 1 to 4 in red). See Table 7 for coordinates of the stations. Color is used to distinguish the different sub-basins. 51 Fig. 16. Map of locations of virtual stations on Topex/Poseidon ground tracks available for the period 1993–2000: 4 locations on the mainstem (ID An with n= 1 to 4 in light blue) and 4 l cations n the Rio Negro-Branco (ID Bn with n= 1 to 4 in red). See Table 8 for coordinates of the stations. Color is used to distinguish the different sub-basins. the mean annual streamflow at Guajara-Mirim decreases in ORCH3 (about 500 m3 s−1) due to increased swamps area in PRIMA map. The same effect is simulated inside the basin of the upper Rio Branco with ORCH3. A delay of the peak flow by one month occurs and a better capture of high-flow evolu- tion during June to August is performed (Fig. 15b). The cal- ibration at ´Obidos does not change significantly the stream- flows at the other stations compared to the previous results obtained with ORCH3 (see Table 7). 5.2 Simulated water height of the floodplains Streamflow seasonality of the Amazon can be highly af- fected by floodplains distribution mainly between Manaca- puru and the mouth, where large amounts of water are transferred through the floodplains (Bonnet et al., 2008). Thus, variations of water height of the floodplains simu- lated in ORCHIDEE are compared with observations from Topex/Poseidon. Flooded fraction extension cannot be com- pared with observations as long as the swamps do not have a spatio-temporal variability simulated in ORCHIDEE. That would be an interesting perspective for further develop- ment of the model, but high uncertainties exist for this rep- resentation according to the poorly known topography in forested areas. Over the period 1993–2000, 8 locations of Topex/Poseidon measurements are distributed along the main stem of the Amazon, the Rio Branco and the Rio Negro (Fig. 16). Results from simulation ORCH4 are compared to these estimates for the same time period. The effect of the change from the old distribution of the MFF (ORCH2) to the new one (ORCH3) and the effect of the calibration at ´Obidos (ORCH4) on the simulated water level height is also shown (Table 8). Water height of the floodplains is not directly con- sidered because ORCHIDEE does not take into account the height of the river bed. Then, an index of water height vari- ation is performed for simulation and observations data. The minimal value of the water height during the 8 yr is consid- ered as the height of the river bed and it is consequently sub- tracted each month to the water level height from the simu- lated and observed data. Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 931 Table 8. Comparison of the water height index Hindex (m) between simulations ORCH2 to ORCH4 and observations, in 4 locations on the mainstem (ID A) and 4 locations on the Rio Negro-Branco (ID B) (see Fig. 16 for locations), for the time period 1993–2000. Monthly mean correlation coefficient r2 and monthly standard deviation σ are given. Stations Hindex (m) r2 σ (m) ID Lat. Lon. Observed ORCH2 ORCH3 ORCH4 ORCH2 ORCH3 ORCH4 Observed ORCH2 ORCH3 ORCH4 A1 −1.98 −53.85 2.85 75.98 8.82 6.39 0.82 0.71 0.90 1.20 44.80 4.17 3.43 A2 −2.51 −56.50 4.76 66.35 51.88 36.93 0.79 0.73 0.92 1.74 37.56 26.74 20.22 A3 −3.23 −59.08 7.98 43.66 22.27 14.07 0.66 0.84 0.77 3.13 24.50 12.30 7.99 A4 −3.86 −61.69 7.70 40.40 14.70 9.16 0.80 0.85 0.81 3.02 22.14 7.82 4.96 B1 −3.18 −60.00 7.72 19.28 10.19 6.37 0.87 0.92 0.89 3.57 10.49 5.35 3.40 B2 −1.28 −62.00 5.38 3.14 2.14 1.35 0.89 0.91 0.90 3.03 1.77 1.21 0.76 B3 −1.06 −63.00 3.56 – 1.21 – 0.54 0.54 2.32 – 0.78 B4 −0.46 −62.00 4.32 5.06 2.19 1.37 0.72 0.74 0.73 2.59 2.91 1.23 0.77 Fig. 17. Interannual variation of monthly water height index Hindex (m) at station B1 (see Fig. 16 for location) on the Rio Negro, for the simulations ORCH2 to ORCH4 compared to the Topex/Poseidon observations, over the time period 1993–2000. 52 Fig. 17. Interannual variation of monthly water height index Hindex (m) at station B1 (see Fig. 16 for location) on the Rio Negro, for the simulations ORCH2 to ORCH4 compared to the Topex/Poseidon observations, over the time period 1993–2000. Over the main stem, water height level is highly overes- timated at the four stations (A1 to A4) with the old dis- tribution of MFF (ORCH2) according to Table 8. More- over, the overestimated standard deviation indicates a too- high variation in simulated water height through the year, despite a good correlation with observations. The new dis- tribution of MFF (ORCH3) increases the rate of MFF over the main stem and logically reduces the water height of the floodplains. The calibration (ORCH4) improves the mean water height for the four stations (Table 8) and gives bet- ter correlations with observations (up to 0.92). However, the water height remains overestimated for all the stations, mainly around ´Obidos. This is consistent when compared to Fig. 6 where Hess et al. (2003) estimate 25 % more MFF than ORCHIDEE at Curuai near ´Obidos. Around Manaca- puru (stations A3 and A4), the simulated water height is in better agreement with Topex/Poseidon measurements with a small overestimation. This corroborates the findings by Hess et al. (2003) who estimate only 5 % more of MFF than ORCHIDEE at Cabaliana near Manacapuru (see Fig. 6). Over the Rio Negro, the change of the distribution in MFF does not improve the correlation with measurements which is good near the main stem at B1 and B2 (about 0.9) and low at B3 and B4 (between 0.5 and 0.7) (Table 8). We note that no fraction of floodplains were present in the old map at sta- tion B3, whereas the new distribution now enables a compar- ison with observations. The water height is underestimated at all the stations when compared to measurements, for all the simulations except B1 close to the main stem. In fact, the interannual seasonality of water height of floodplains is well captured at this station with ORCH4 compared to measure- ments during the eight years (Fig. 17). The old distribution in MFF largely overestimates the water height in flooded areas. www.hydrol-earth-syst-sci.net/16/911/2012/ Hydrol. Earth Syst. Sci., 16, 911–935, 2012 932 M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 6 Summary and final remarks In this work, the simulation by ORCHIDEE of discharge val- ues in the main tributaries of the Amazon River basin and in the last gauged station ´Obidos has benefited from two major inputs. A first improvement results from the intro- duction of a comprehensive daily rainfall observations de- rived from ORE HYBAM dataset, that includes data from upstream regions of the basin, especially in Bolivia, Peru, Ecuador and Colombia that were not taken into considera- tion in former simulations. Additionally to a good density of rainfall stations, a distribution that takes into account very rainy spots in the Andes or in the North-West contribute to a better reliability of rainfall input. Indeed, the addition of high rainfall in the northwestern equatorial region and in some rainy spots spread along the Andes tends to improve the mean rainfall over the basin (ORCH2) that was previ- ously underestimated (ORCH1). Simulated evapotranspira- tion remains underestimated when using ORE HYBAM rain- fall forcing, but the use of daily values in precipitation seems to highly improve the seasonal variation of evaporation of water over the leaves (ORCH2) when compared to Shuttle- worth (1988)’s measurements near Manaus. The forcing by ORE HYBAM rainfall results in an increase in streamflow by 15 % at ´Obidos (ORCH2) that is more realistic than the previous one (ORCH1) when compared to the observations. However, the amplitude of the annual cycle is still inade- quate. The flood is higher than observed at ´Obidos, which may be attributed to overestimated high-flow in the south- ern basins and the low water stage is too low in accordance with low values in the northwestern basins. At a regional scale, ORE HYBAM rainfall forcing considerably improves the discharge in the western basins where the seasonality and the interannual variability are reasonably well captured. This is also observed in the northern basins where the previously overestimated streamflow is reduced. However, streamflow is degraded in some southern basins where simulated evap- otranspiration may be too low and the extension of rainy spots exaggerated by our interpolation method. An ongo- ing work thus aims at defining a better interpolation method, that would allow for a better description of the rainfall in the Andean part of the basin. A more accurate spatial pattern of the rainy spots should reduce the amount of precipitation over the respective sub-basins. In simulation ORCH2, the ex- tremes in streamflow occur earlier than observed at ´Obidos. That is why a second modification has been realized by in- troducing a new map of maximal fractions of floodplains and swamps in the model (ORCH3). The improvements are es- pecially significant over large areas such as the main stem of the Amazon River and the Llanos de Moxos region. A better capture of the streamflow seasonality is also found over small basins such as the Branco River at Caracarai. However, for small basins, product quality is probably not sufficient since the spatial resolution of the satellite obser- vation is approximately 25× 25 km2 and the error bar on the product is about 10 % (Prigent et al., 2007). Together with a calibration at ´Obidos of the time constant of the floodplains reservoir in the model (ORCH4), the change in floodplains/swamps maps has improved the simulated water height of floodplains in the main stem of the Amazon River and corrected the discharge seasonality at ´Obidos and in the involved sub-basins. Some extensions of this study can be considered, such as a vegetation map that would introduce the recent extension of deforested areas and finally, a better representation of evapotranspiration in the model. In addi- tion, the improvements performed in the study in the ability of the ORCHIDEE model to represent the hydrological dy- namics in the Amazon River basin make this model a power- ful tool for studying the impact of climate change scenarios on the river discharge. Appendix A Statistical tools Various indicators are used to compare observed and simu- lated discharge. A1 Coefficient of variation of the root mean squared error The Coefficient of Variation of the Root Mean Squared Error (CV(RMSE), Eq. A1) is similar to an R2 error as it measures the degree of data scatter. CV(RMSE) = √√√√√ N∑ i=1 ( QORCHi − Qobsi )2 N × 100 Qobs (A1) where N is the time-step number, QORCHi and Qobsi (m3 s−1), respectively the simulated and observed stream- flows for time-step i, Qobs (m3 s−1) the mean of observed streamflows for the serie. A2 Nash-Sutcliffe coefficient The Nash-Sutcliffe efficiency coefficient (Nash, Eq. A2) as- sesses the predictive power of hydrological models (Nash and Sutcliffe, 1970). Nash-Sutcliffe efficiencies can range from −∞ to 1. An efficiency of 1 corresponds to a perfect match of simulated discharge to the observed data. An effi- ciency of 0 indicates that the model predictions are as accu- rate as the mean of the observed data, whereas an efficiency less than zero occurs when the observed mean is a better pre- dictor than the model. Essentially, the closer the model effi- ciency is to 1, the more accurate the model is. Nash = 1 −  N∑ i=1 ( QORCHi − Qobsi )2 N∑ i=1 ( Qobs − Qobsi )2  (A2) Hydrol. Earth Syst. Sci., 16, 911–935, 2012 www.hydrol-earth-syst-sci.net/16/911/2012/ M. Guimberteau et al.: Amazon discharge simulation using ORCHIDEE forced by new datasets 933 A3 Coefficient of cross-correlation The cross correlation computation is useful to illustrate the time lag existing between two seasonalities. In other words, it deduces the necessary delay dt to get the best correlation between the two seasonalities. The cross-correlation r at de- lay dt is defined as: r (dt ) = n∑ [( QORCHn − QORCH ) × ( QOBS(n−dt ) − QOBS )] √ n∑ ( QORCHn − QORCH )2 √ n∑ ( QOBS(n−dt ) − QOBS )2 (A3) where n is the month, dt (months) the delay, QORCH and QORCH (m3 s−1), respectively monthly and monthly mean streamflow simulated by the model and QOBS and QOBS (m3 s−1), respectively monthly and monthly mean observed streamflows. Acknowledgements. We want to acknowledge all our colleagues in the national hydrological services (ANA in Brazil, SENAMHI in Peru and Bolivia and INAMHI in Ecuador) and the French Institute of Research for Development (IRD) who participated to the field campaigns of the HYBAM Program and thus contributed to collecting the data used in this work, which is available on the web page of the ORE-HYBAM (http://www.ore-hybam.org). This work was financially supported by the GIS (Groupement d’Inte´reˆt Scientifique) REGYNA (REGioNAlisation des pre´cipitations et impacts hYdrologiques et agronomiques) and the EU-FP7 AMAZALERT (Raising the alert about critical feedbacks between climate and long-term land use change in the Amazon) projects. Correction of NCC forcing in precipitation by ORE HYBAM and simulations with ORCHIDEE were performed using computational facilities of the Institut du De´veloppement et des Ressources en Informatique Scientifique (IDRIS, CNRS, France). Edited by: W. Buytaert The publication of this article is financed by CNRS-INSU. References Allasia, D., da Silva, B., Collischonn, W., and Tucci, C.: Large basin simulation experience in South America, IAHS Publ., 303, 360–370, 2006. 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