Plain language summary
The dataset here presented is very useful for oceanographers, marine biologists, and chemists in an idealized scenario with no river runoff (Amazon River and Pará River) in the western tropical North Atlantic (WTNA). You can study the ocean properties (for example, temperature, salinity, and currents), the influence of the chemical components (for example, nutrients and CO2 fluxes), and the biological relations of different organisms and their distribution at the region. With these simulation results, you can compare the observed data you are working on with our numerical ocean model outputs, estimating the influence of the Amazon and Pará Rivers in this region. These data are stored in the following formats: ROMS model NetCDF, Matlab, and NetCDF standard. In the case of Matlab and NetCDF standard, no pre-processing is required. Moreover, the dataset is available in the open repository of Science Data Bank (doi: 10.57760/sciencedb.02145), and to access click here.
Introduction
The western tropical North Atlantic (WTNA) is characterized as an extremely complex region with the influence of different physical forcings, such as strong western boundary currents (e.g. North Brazil Undercurrent and North Brazil Current) in connection with zonal equatorial currents (e.g South Equatorial Undercurrent, Equatorial Undercurrent, and North Equatorial Countercurrent) as part of the equatorial current system1; important atmospheric drivers (e.g trade winds and the Intertropical Convergence Zone)2; and mesoscale activity (e.g NBC rings)3,4. Besides, the region also presents an important pathway of interhemispheric transport of mass, heat, and salt as part of the Atlantic Meridional Overturning Circulation5,6.
A singular aspect of this region is the presence of the Amazon River runoff, the world’s largest river discharge accounting for 18% of the continental water flow to the oceans and approximately 32% of the freshwater input to the Atlantic ocean, with an average of 222,800 m3 s−17,8. The discharge volume reaches up to two-fold the net atmospheric freshwater flux (evaporation-precipitation) over the WTNA9. Furthermore, the Amazon River forms a plume over the region, which extends over a thousand of kilometers, flowing northwestward and reaching the Caribbean Sea and also retroflecting eastward through the North Equatorial Countercurrent and reaching latitudes of 30°W10,11. Therefore, the region is marked by an intense land-ocean synergy, with several processes in play, such as mixed layer depth changes and formation of barrier layers, leading variations of the ocean surface heat balance12,13; high terrestrial sediments and dissolved organic matter transport11; and complex and important biogeochemical interactions, from nutrient and carbon fluxes14,15 to changes on biological community structures16.
The present work brings a dataset originated from simulations using the regional oceanic modeling system (ROMS) model in an idealized scenario of no river runoff of the Amazon River and the Pará River in the WTNA. The main goal for the creation of the here presented dataset is to enable and encourage the development of more researches in the region to advance in bridging the knowledge gaps of a such complex area. In the following Sections, we present the methods, which introduces the study area and explains the model configuration, the initial and boundary parameters; the dataset, with the directory structure of the dataset, the generated files, and details of the coordinates and variables of each of the generated files; and lastly, the data availability.
Methods
This study was conducted through ideal simulations with the ROMS numerical model, using the ROMS-AGRIF version (regional ocean modeling system - adaptive grid refinement)17–20, which has been successfully tested in the WTNA, specifically off the North and Northeastern Brazilian coast12,21–31. The geographic localization of this dataset is 60.5°-24°W/5°S-16°N, which is illustrated in Figure 1 with the monthly sea surface temperature (SST) horizontal distribution in the period maximum Pará River runoff (March-April) and maximum Amazon River runoff (May-June)7. In these four months, the minimum SST found in the area corresponding to this dataset is 35 psu (practical salinity unit), with values reaching 32 psu over the river plume and 27 psu off the Amazon River mouth29.

Figure 1. Geographic location of the dataset.
Sea Surface Salinity field in the periods of maximum Pará River runoff (March–April, upper panels) and maximum Amazon River runoff (May–June, lower panels).
For our simulation, all initial and boundary parameters have been spatially discretized at a horizontal resolution of 0.25° with non-isotropic grid from Earth Topography v2 (ETOPO2) bathymetry32 and vertically using the sigma coordinate system (32 vertical levels). In the configuration file (ROMSTOOLS; romstools_param.m), ROMSTOOLS is a set of Octave compatible Matlab functions used to perform pre-processing of ROMS model input data, we used theta_s = 6 and theta_b = 0 (These two parameters indicate to the ROMS model how it has to consider the distribution of vertical levels near the surface and the bottom, both must take values between zero and seven, the higher the values of these, the more vertical levels will be concentrated near the surface and the bottom)19,33, obtaining 12 and 20 levels in the first 100m and 500m depth, respectively. Other parameters used in the grid discretization are: hc = 5.0, hmin = 150, hmax_coast = 500, hmax = 5000, rtarget = 0.25 (slope), and Roa = 85e3.
Since tidal influence is important for the seawater mixing process in the surface layers, tides have been taken into account in our simulation and data were obtained from OSU TPXO7 Tide model34,35. The North, South, East and West lateral boundaries were considered open and the sea surface salinity (SSS) and sea surface temperature (SST) values for initial and boundary conditions were restricted to monthly mean values obtained from the World Ocean Atlas 2009 (WOA2009 dataset)36,37. For the surface forcing, it was used monthly climatology of the Comprehensive Ocean-Atmosphere Data Set (COADS05 dataset)38. This dataset is the last year of the numerical output (roms_his.nc and roms_avg.nc) obtained by a ROMS-model simulation of 11 years, and it was called the No-River Runoff experiment (NRF) in 27,29.
Dataset
The idealized hydrodynamical numerical model database with no-river runoff in the Northern and Northeastern Brazilian coast (IHMD-NRF) is the result of a research carried out by 29. As shown in Table 1, the dataset includes three pairs of files: (i) ROMS-files as two files in ROMS NetCDF format, containing the monthly and weekly numerical output (raw data); (ii) MATLAB-files as two files processed and converted in Matlab; and (iii) NetCDF-files as two more files also processed and converted in NetCDF standard format with mNC tool39, the file pairs in (ii) and (iii) are identical to (i), but have been converted to Matlab formats (they can be read in Octave, R and Python) and the NetCDF standard. For each file, some metadata were added using freeware tools called Climate Data Operator (CDO)40 and NetCDF Operators (NCO)41. All files are organized in the directory structure shown in Figure 2.
Table 1. Files that integrate this dataset and its main characteristics.
| Filename | Description | Format | Processing level | Size |
|---|
| roms_his_Y11.nc | ROMSfile of monthly climatology of the ROMS simulation | ROMS NetCDF | Raw data | 351 Mb |
| roms_avg_Y11.nc | ROMSfile of weekly climatology of the ROMS simulation | ROMS NetCDF | Raw data | 1.4 Gb |
| SR_MonthlyClim.mat | MATLABfile of monthly climatology of the ROMS simulation | Matlab | Processed data | 694 Mb |
| SR_WeeklyClim.mat | MATLABfile of weekly climatology of the ROMS simulation | Matlab | Processed data | 2.7 Gb |
| SR_MonthlyClim.nc | NetCDFfile of monthly climatology of the ROMS simulation | NetCDF standard | Processed data | 1.1 Gb |
| SR_WeeklyClim.nc | NetCDFfile of weekly climatology of the ROMS simulation | NetCDF standard | Processed data | 4.5 Gb |

Figure 2. Distribution of files by directory according to their format.
The ROMSfiles directory stores the ROMS model numerical output files for monthly and weekly data for the 11th year.
The outputs’ dimensions, their description and dimension size are listed in Table 2. The parameter time does not need any conversion when working with MATLAB, the function datestr provides the date. The monthly output is dated on the first day of each month, while the weekly output is on the 4th, 12th, 19th and 27th of each month. The year of this date is relative to the simulation year, so it will always be 0011 (11th year). Table 2 shows the time parameter twice, once at monthly and once at weekly frequency, corresponding to each of the ROMS-files outputs. In the monthly output file (rooms_his_Y11.nc), there are 13 values because January - year 0012 is also included.
Table 2. ROMS-files dimensions (coordinate system parameters).
| Dimensions | Description | Variable dimension |
|---|
| xi_rho | Longitude dimension for scalar variables | 185 |
| eta_rho | Latitude dimension for scalar variables | 161 |
| s_rho | Vertical levels for all variables | 32 |
| time | Time values, weekly climatology | 48 |
| time | Time values, monthly climatology | 13 |
| xi_u | Longitude dimension for vector variable | 184 |
| eta_v | Latitude dimension for vector variable | 160 |
The current velocity component (vector) grids have 184 × 160 nodes, while the scalar parameter grids have 185 × 161 nodes. Still for the ROMSfiles, Table 3 shows all the variables, which are related to the oceanographic and surface physical parameters. Other complementary descriptions of the ROMS model output files, i.e ROMS-files, can be found in 42, 43. All the ROMS model output files that are in the directory can be visualized with the tools that are in the directory called Roms_tools/Visualization_tools/. The folder is a component of ROMSTOOLS, the main script is roms_gui and it is a graphical user interface (GUI)19,33. This GUI is developed in MATLAB GUIDE (Octave-compatible), so it allows you to reuse other functions to retrieve parameters at a given level or depth, or even at a specific coordinate or date, e.g.: get_var.m.
Table 3. ROMSfiles variables (oceanographic and surface parameters) contained in the ROMSfiles directory.
| Variables | Description | Unit |
|---|
| lon_rho | Horizontal nodes longitude | Degrees east |
| lat_rho | lat_rho Horizontal nodes latitude | Degrees north |
| lon_u | Horizontal nodes longitude | Degrees east |
| lat_u | Horizontal nodes latitude | Degrees north |
| lon_v | Horizontal nodes longitude | Degrees east |
| lat_v | Horizontal nodes latitude | Degrees north |
| h | Bathymetry | m |
| temp | Potential temperature | °C |
| salt | Salinity | PSU |
| u | u-momentum component | m s−1 |
| v | v-momentum component | m s−1 |
| w | Vertical momentum component | m s−1 |
| zeta | Sea Surface Height | m |
| ubar | Vertically integrated u-momentum component | m s−1 |
| vbar | Vertically integrated v-momentum component | m s−1 |
| f | Coriolis parameter | s−1 |
| bostr | Kinematic bottom stress | N s−1 |
| wstr | Kinematic wind stress | N s−1 |
| sustr | Kinematic u wind stress component | N s−1 |
| svstr | Kinematic v wind stress component | N s−1 |
| diff3d | Horizontal diffusivity coefficient | - |
| hbl | Depth of planetary boundary layer | m |
| hbbl | Depth of bottom boundary layer | m |
| shflux | Surface net heat flux | W m−2 |
| swflux | Surface freshwater flux (E-P) | cm day−1 |
| swrad | Short-wave surface radiation | W m−2 |
| swrad | Short-wave surface radiation | W m−2 |
| mask_rho | Land mask (0 to land, 1 to ocean) | - |
| mask_u | Land mask (0 to land, 1 to ocean) | - |
| mask_v | Land mask (0 to land, 1 to ocean) | - |
The two pairs of files, i.e MATLAB-files and NetCDF-files, contain oceanographic parameters such as salinity, temperature, sea currents, sea surface height (SSH), seawater density, and vorticity (Table 4 and Table 5). Here we present the descriptions of the oceanographic parameters in standard MATLAB and NetCDF formats (stored in the MATLABfiles and NetCDFfiles directories, respectively), all these files can be read in ncview, Panoply, CDO, NCO and other freewares like Octave, R and Python. In both cases, the time parameter has dimension size of 12 for each month of the 11th year of the monthly simulation and it also presents dimension size of 48 for the weekly simulation, with output on the same dates as the equivalent files in NetCDF ROMS format (ROMS-files). In these four pairs of files, the vector and scalar data grids are referenced with the same coordinate system.
Table 4. MATLAB-files variables (oceanographic parameters) contained in the MATLABfiles directory.
| Variables | Description | Unit |
|---|
| Lons | Horizontal nodes longitude | Degrees east |
| Lats | Horizontal nodes latitude | Degrees north |
| Time | Time | Months |
| DEPTHS | Depths | m |
| bathymetry | Bathymetry | m |
| temp | Potential temperature | °C |
| salt | Salinity | PSU |
| ssh | Sea Surface Height | m |
| u | u-momentum component | m s−1 |
| v | v-momentum component | m s−1 |
| rho | Seawater density | Kg m−3 |
| currspd | Current speed | m s−1 |
| vort | Vorticity | s−1 |
Table 5. NetCDF-files variables (oceanographic parameters) contained in the NetCDFfiles directory.
| Variables | Description | Unit |
|---|
| lon | Horizontal nodes longitude | Degrees east |
| lat | Horizontal nodes latitude | Degrees north |
| time | Time | Months |
| depth | Depths | m |
| h | Bathymetry | m |
| temp | Potential temperature | °C |
| salt | Salinity | PSU |
| ssh | Sea Surface Height | m |
| ucurr | u-momentum component | m s−1 |
| vcurr | v-momentum component | m s−1 |
| swd | Seawater density | Kg m−3 |
| cspd | Current speed | m s−1 |
| vort | Vorticity | s−1 |
The standard NetCDF files, i.e NetCDF-files, are self-describing as it is possible to explore a very detailed description of the metadata with the ncdump command in terminal44. You can also preview the data using the ncview command in terminal45, GrADS46 and Panoply data viewer47, the latter depending on the Java Runtime Environment.
Data availability
Underlying data
Science Data Bank: Idealized hydrodynamical numerical model database with no river runoff in the northeastern and northern regions of Brazil (IHMD-NRF) https://doi.org/10.57760/sciencedb.02145
This project contains the following underlying data:
- roms_his_Y11.nc (Monthly climatology raw data)
- roms_avg_Y11.nc (Weekly climatology raw data)
Extended data
Science Data Bank: Idealized hydrodynamical numerical model database with no river runoff in the northeastern and northern regions of Brazil (IHMD-NRF) https://doi.org/10.57760/sciencedb.02145
This project contains the following underlying data:
- SR_MonthlyClim.mat (Monthly climatology of ROMS simulation in MATLAB format)
- SR_WeeklyClim.mat (Weekly climatology of ROMS simulation in MATLAB format)
- SR_MonthlyClim.nc (Monthly climatology of ROMS simulation in NetCD format)
- SR_WeeklyClim.nc (Weekly climatology of ROMS simulation in NetCD format)
Data are available under the terms of the Creative Commons Attribution 4.0 International license (CC-BY 4.0).
Acknowledgments
The authors thank the Tropical and South Atlantic climate-based marine ecosystem predictions for sustainable management (TRIATLAS project), the Brazilian Research Network on Global Climate Change (Rede CLIMA) and the International Joint Laboratory TAPIOCA (IRD-UFPE-UFRPE) for the support received.
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