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Full article title A data quality strategy to enable FAIR, programmatic access across large,
diverse data collections for high performance data analysis
Journal Informatics
Author(s) Evans, Ben; Druken, Kelsey; Wang, Jingbo; Yang, Rui; Richards, Clare; Wyborn, Lesley
Author affiliation(s) Australian National University
Primary contact Email: Jingbo dot Wang at anu dot edu dot au
Editors Ge, Mouzhi; Dohnal, Vlastislav
Year published 2017
Volume and issue 4(4)
Page(s) 45
DOI 10.3390/informatics4040045
ISSN 2227-9709
Distribution license Creative Commons Attribution 4.0 International
Website http://www.mdpi.com/2227-9709/4/4/45/htm
Download http://www.mdpi.com/2227-9709/4/4/45/pdf (PDF)

Abstract

To ensure seamless, programmatic access to data for high-performance computing (HPC) and analysis across multiple research domains, it is vital to have a methodology for standardization of both data and services. At the Australian National Computational Infrastructure (NCI) we have developed a data quality strategy (DQS) that currently provides processes for: (1) consistency of data structures needed for a high-performance data (HPD) platform; (2) quality control (QC) through compliance with recognized community standards; (3) benchmarking cases of operational performance tests; and (4) quality assurance (QA) of data through demonstrated functionality and performance across common platforms, tools, and services. By implementing the NCI DQS, we have seen progressive improvement in the quality and usefulness of the datasets across different subject domains, and demonstrated the ease by which modern programmatic methods can be used to access the data, either in situ or via web services, and for uses ranging from traditional analysis methods through to emerging machine learning techniques. To help increase data re-usability by broader communities, particularly in high-performance environments, the DQS is also used to identify the need for any extensions to the relevant international standards for interoperability and/or programmatic access.

Keywords: data quality, quality control, quality assurance, benchmarks, performance, data management policy, netCDF, high-performance computing, HPC, fair data

Introduction

The National Computational Infrastructure (NCI) manages one of Australia’s largest and more diverse repositories (10+ petabytes) of research data collections spanning datasets from climate, coasts, oceans, and geophysics through to astronomy, bioinformatics, and the social sciences.[1] Within these domains, data can be of different types such as gridded, ungridded (i.e., line surveys, point clouds), and raster image types, as well as having diverse coordinate reference projections and resolutions. NCI has been following the Force 11 FAIR data principles to make data findable, accessible, interoperable, and reusable.[2] These principles provide guidelines for a research data repository to enable data-intensive science, and enable researchers to answer problems such as how to trust the scientific quality of data and determine if the data is usable by their software platform and tools.

To ensure broader reuse of the data and enable transdisciplinary integration across multiple domains, as well as enabling programmatic access, a dataset must be usable and of value to a broad range of users from different communities.[3] Therefore, a set of standards and "best practices" for ensuring the quality of scientific data products is a critical component in the life cycle of data management. We undertake both QC through compliance with recognized community standards (e.g., checking the header of the files to make sure it is compliant with community convention standard) and QA of data through demonstrated functionality and performance across common platforms, tools, and services (e.g., verifying the data to be functioning with designated software and libraries).

The Earth Science Information Partners (ESIP) Information Quality Cluster (IQC) has been established for collecting such standards and best practices and then assisting data producers in their implementation, and users in their taking advantage of them.[4] ESIP considers four different aspects of information quality in close relation to different stages of data products in their four-stage life cycle[4]: (1) define, develop, and validate; (2) produce, access, and deliver; (3) maintain, preserve, and disseminate; and (4) enable use, provide support, and service.

Science teams or data producers are responsible for managing data quality during the first two stages, while data publishers are responsible for the latter two stages. As NCI is both a digital repository, which manages the storage and distribution of reference data for a range of users, as well as the provider of high-end compute and data analysis platforms, the data quality processes are focused on the latter two stages. A check on the scientific correctness is considered to be part of the first two stages and is not included in the definition of "data quality" that is described in this paper.

NCI's data quality strategy (DQS)

NCI developed a DQS to establish a level of assurance, and hence confidence, for our user community and key stakeholders as an integral part of service provision.[5] It is also a step on the pathway to meet the technical requirements of a trusted digital repository, such as the CoreTrustSeal certification.[6] As meeting these requirements involves the systematic application of agreed policies and procedures, our DQS provides a suite of guidelines, recommendations, and processes for: (1) consistency of data structures suitable for the underlying high-performance data (HPD) platform; (2) QC through compliance with recognized community standards; (3) benchmarking performance using operational test cases; and (4) QA through demonstrated functionality and benchmarking across common platforms, tools, and services.

NCI’s DQS was developed iteratively through firstly a review of other approaches for management of data QC and data QA (e.g., Ramapriyan et al.[4] and Stall[7]) to establish the DQS methodology and secondly applying this to selected use cases at NCI which captured existing and emerging requirements, particularly the use cases that relate to HPC.

Our approach is consistent with the American Geophysical Union (AGU) Data Management Maturity (DMM)SM model[7][8], which was developed in partnership the Capability Maturity Model Integration (CMMI) Institute and adapted for their DMMSM[9] model for applications in the Earth and space sciences. The AGU DMMSM model aims to provide guidance on how to improve data quality and consistency and facilitate reuse in the data life cycle. It enables both producers of data and repositories that store data to ensure that datasets are "fit-for-purpose," repeatable, and trustworthy. The Data Quality Process Areas in the AGU DMMSM model define a collaborative approach for receiving, assessing, cleansing, and curating data to ensure "fitness" for intended use in the scientific community.

After several iterations, the NCI DQS was established as part of the formal data publishing process and is applied throughout the cycle from submission of data to the NCI repository through to its final publication. The approach is also being adopted by the data producers who now engage with the process from the preparation stage, prior to ingestion onto the NCI data platform. Early consultation and feedback has greatly improved both the quality of the data as well as the timeliness for publication. To improve the efficiency further, one of our major data suppliers is including our DQS requirements in their data generation processes to ensure data quality is considered earlier in data production.

The technical requirements and implementation of our DQS will be described as four major but related data components: structure, QC, benchmarking, and QA.

Data structure

NCI's research data collections are particularly focused on enabling programmatic access, required by: (1) NCI core services such as the NCI supercomputer and NCI cloud-based capabilities; (2) community virtual laboratories and virtual research environments; (3) those that require remote access through established scientific standards-based protocols that use data services; and, (4) increasingly, by international data federations. To enable these different types of programmatic access, datasets must be registered in the central NCI catalogue[10], which records their location for access both on the filesystems and via data services.

This requires the data to be well-organized and compliant with uniform, professionally managed standards and consistent community conventions wherever possible. For example, the climate community Coupled Model Intercomparison Project (CMIP) experiments use the Data Reference Syntax (DRS)[11], whilst the National Aeronautics and Space Administration (NASA) recommends a specific name convention for Landsat satellite image products.[12] The NCI data collection catalogue manages the details of each dataset through a uniform application of ISO 19115:2003[13], an international schema used for describing geographic information and services. Essentially, each catalogue entry points to the location of the data within the NCI data infrastructure. The catalogue entries also point to the services endpoints such as a standard data download point, data subsetting interface, as well as Open Geospatial Consortium (OGC) Web Mapping Service (WMS) and Web Coverage Services (WCS). NCI can publish data through several different servers, and as such the specific endpoint for each of these service capabilities is listed.

NCI has developed a catalogue and directory policy, which provides guidelines for the organization of datasets within the concepts of data collections and data sub-collections and includes a comprehensive definition for each hierarchical layer. The definitions are:

  • A data collection is the highest in the hierarchy of data groupings at NCI. It is comprised of either an exclusive grouping of data subcollections, or it is a tiered structure with an exclusive grouping of lower tiered data collections, where the lowest tier data collection will only contain data subcollections.
  • A data subcollection is an exclusive grouping of datasets (i.e., belonging to only one subcollection) where the constituent datasets are tightly managed. It must have responsibilities within one organization with responsibility for the underlying management of its constituent datasets. A data subcollection constitutes a strong connection between the component datasets, and is organized coherently around a single scientific element (e.g., model, instrument). A subcollection must have compatible licenses such that constituent datasets do not need different access arrangements.
  • A dataset is a compilation of data that constitutes a programmable data unit that has been collected and organized using a self-contained process. For this purpose it must have a named data owner, a single license, one set of semantics, ontologies, vocabularies, and has a single data format and internal data convention. A dataset must include its version.
  • A dataset granule is used for some scientific domains that require a finer level of granularity (e.g., in satellite Earth Observation datasets). A granule refers to the smallest aggregation of data that can be independently described, inventoried, and retrieved as defined by NASA.[14] Dataset granules have their own metadata and support values associated with the additional attributes defined by parent datasets.

In addition we use the term "data category" to identify common contents/themes across all levels of the hierarchy.

  • A data category allows a broad spectrum of options to encode relationships between data. A data category can be anything that weakly relates datasets, with the primary way of discovering the groupings within the data by key terms (e.g., keywords, attributes, vocabularies, ontologies). Datasets are not exclusive to a single category.

Organization of data within the data structure

NCI has organized data collections according to this hierarchical structure on both filesystem and within our catalogue system. Figure 1 shows how these datasets are organized. Figure 2 provides an example of how the CMIP 5 data collection demonstrates the hierarchical directory structure.


Fig1 Evans Informatics2017 4-4.png

Figure 1. Illustration of the different levels of metadata and community standards used for each


Fig2 Evans Informatics2017 4-4.jpg

Figure 2. Example schematic of the National Computational Infrastructure (NCI)’s data organizational structure using the Coupled Model Intercomparison Project (CMIP)) 5 collection. The CMIP 5 collection housed at NCI includes three sub-collections from The Commonwealth Scientific and Industrial Research Organisation (CSIRO) and Australian Bureau of Meteorology (BOM): (1) the ACCESS-1.0 model, (2) ACCESS-1.3 model, and (3) Mk 3.6.0 model. Each sub-collection then contains a number of datasets, such as “piControl” (pre-industrial control experiment), which then contains numerous granules (e.g., precipitation, “pr”). A complete description on the range of CMIP5 contents can be found at: https://pcmdi.llnl.gov/mips/cmip5/experiment_design.html.

Data QC

Data QC measures are intended to ensure that all datasets hosted at NCI adhere, wherever possible, to existing community standards for metadata and data. For Network Common Data Form (netCDF) (and Hierarchical Data Format v5 (HDF5)-based) file formats, these include the Climate and Forecast (CF) Convention[15] and the Attribute Convention for Data Discovery[16] (see Table 1).

Table 1. The NCI Quality Control (QC) mandatory requirements. A full list of the Attribute Convention for Data Discovery (ACDD) metadata requirements used by NCI is provided in Appendix A.
Convention/Standard NCI Requirements Further Information
CF Mandatory CF criteria, e.g., no “errors” result from any of the recommended compliance checkers http://cfconventions.org
ACDD (Modified version) Required attributes are included within each file: 1. title, 2. summary, 3. source, 4. date_created http://wiki.esipfed.org/index.php/Attribute_Convention_for_Data_Discovery_1-3

Climate and forecast (CF) convention

NCI requires that all geospatial datasets meet the minimum mandatory CF convention metadata criteria at the time of publication, and, where scientifically applicable, we require they meet the relevant recommended CF criteria. These requirements are detailed in the latest CF convention document provided on their website.[15]

The CF convention is the primary community standard for netCDF data, which was originally developed by the climate community and is now being adapted for other domains, e.g., marine and geosciences. It defines metadata requirements for information on each variable contained within the file as well as spatial and temporal properties of the data, so that contents are fully “self-described.” For example, no additional companion files or external sources are required to describe any information about how to read or utilize the data contents within the file. The metadata requirements also provide important guidelines on how to structure spatial data. This includes recommendations on the order of dimensions, the handling of gridded and non-gridded (time series, point and trajectory) data, coordinate reference system descriptions, standardized units, and cell measures (i.e., information relating to the size, shape, or location of grid cells). CF requires that all metadata information be equally readable and understandable by humans and software, which has the benefit of allowing software tools to easily display and dynamically perform associated operations.

Attribute Convention for Data Discovery (ACDD)

The ACDD is another common standard for netCDF data that complements the CF convention requirements.[16] The ACDD primarily governs metadata information written at the file-level (i.e., netCDF global attributes), while the CF convention pertains mainly to variable-level metadata and structure information. Therefore, when combined these two standards help to fully describe both the higher-level metadata relevant to the entire file (e.g., dataset title, custodian, data created, etc.) and the lower-level information about each individual variable or dimension (e.g., name, units, bounds, fill values, etc.). ACDD also provides the ability to link to even higher-levels such as the dataset parent and grandparent ISO 19115 metadata entries.

NCI has applied this convention, along with CF, as summarized in Table 1 as part of our data QC. As the ACDD has no “required” fields in its current specification, NCI has applied a modified version that requires all published datasets meet the minimum of four required ACDD catalogue metadata fields at the time of publication. These are “title,” “summary,” “source,” and “date_created” and have been ranked as “required” to aid with NCI’s data services and data discovery. A complete list of ACDD metadata attributes and NCI requirements are available in Appendix A.

Benchmarking methodology

Any reference datasets made available on NCI must be well organized and accessible in a form suitable for the known class of users. Datasets also need to be more broadly available to other users from different domains, with the expectation that the collection will continue to have long-term and enduring value not just to the research community but also to others (e.g., government, general public, industry). To ensure that these expectations are clearly understood across the range of use-cases and environments, NCI has adopted a benchmarking methodology as part of their DQS process. Benchmarks register their functionality and performance, which helps to define expectations around data accessibility and provide an effective, defined measure of usability.

To substantiate this, NCI works with both the data producers and the users to establish benchmarks for specific areas, which are then included as part of the registry of data QA measures. These tests are then verified by both NCI and by wider community representatives to ensure that the benchmark is appropriate for the requested access. The benchmark methodology also provides a way to systematically consider how current users will be affected when considering any future developments or evolution in technology, standards, or reorganization of data. The benchmark cases then substantiate the original intention, and they can be reviewed against any subsequent changes. For example, benchmark cases that were previously specified to use data in a particular format may have been updated to use an alternative, more acceptable format that is better for use in high-performance environments or improves accessibility across multiple domains. The original benchmark cases can then be re-evaluated against both the functionality and performance required to assess how to make such a transformation. Further, if there are any upgrades or changes to the production services, the benchmark cases are used to perform prerelease tests on the data servers before implementing the changes into production.

The benchmarks consist of explicit current examples using tools, libraries, services, packages, software, and processes that are executed at NCI. These benchmarks explore the required access and identify supporting standards that are critical to the utility of the service, whether access be through the filesystem or by API protocols provided by NCI data services. Where benchmarks are shown to be beyond the capability of the current data service, the benchmark case will be recorded for future application.

Furthermore, the results of the testing of each benchmark are reviewed with the data producer in light of any issues raised. This may require action by the user to revise the access pattern and/or by the data producer to modify the data to ensure that the reliability of NCI’s production service is not compromised. Alternatively, NCI may be able to provide a temporary separate service to accommodate some aspects of the usage pattern. For example, the data might be released via a modified server that can address shortcomings of a specific benchmark case but would not be applicable generally. This may be a short-term measure until a better server solution is found, or it may address current local issues on either the data or client application side.

Data QA

To ensure that the data is usable across a range of use-cases and environments, the QA approach uses benchmarks for testing data located on the local filesystem, as well as remotely via the data service endpoints. The QA process is designed to verify that software and libraries used are functioning properly with the most commonly used tools in the community.

The following are a list of data services that are available under NCI’s Unidata Thematic Real-time Environmental Distributed Data Services (THREDDS):

  • Open-source Project for a Network Data Access Protocol (OPeNDAP): a protocol enabling data access and subsetting through the web;
  • NetCDF Subset Service (NCSS): web service for subsetting files that can be read by the netCDF java library;
  • WMS: OGC web service for requesting raster images of data;
  • WCS: OGC web service for requesting data in some output format;
  • Godiva2 Data Viewer: tool for simple visualization of data; and
  • HTTP File Download: for direct downloading of data.

The data is tested through each of the required services as part of the QA process, with the basic usability functionality tests applied to each service as shown in Table 2. Should an issue be discovered during these functionality tests, the issue is investigated further. This may lead to additional modifications of the data so as to pass the functionality or performance requirements, and in doing so requires further communication with the data producer to ensure that such changes are acceptable and can be corrected in any future data production process. More detailed functionality can also be recorded for scientific use around the data. Such tests tend to be specific for the data use-case but follow the same methodology as that described here.


Table 2. Description of basic accessibility and functionality tests that are applied for commonly used tools as part of NCI’s QA tests
Test Measures of Success
netCDF C-Library Using the ncdump-h <file> function from command line, the file is readable and displays the file header information about the file dimensions, variables, and metadata.
GDAL Using the gdalinfo <file> function from command line, the file is readable and displays the file header information about the file dimensions, variables, and metadata.
Using the gdalinfo NETCDF:<file>:<subdataset> function from command line, the subdatasets are readable and corresponding metadata for each subdataset is displayed.
The Open and GetMetadata functions return non-empty values that correspond to the netCDF file contents.
The GetProjection function (of the appropriate file or subdataset) returns a non-empty result corresponding to the data coordinate reference system information.
NCO (NetCDF Operators) Using the ncks -m <file> function from command line, the file is readable and displays file metadata.
CDO (Climate Data Operators) Using the cdo sinfon <file> function from command line, the file is readable and displays information on the included variables, grids, and coordinates.
Ferret Using SET DATA “<file>” followed by SHOW DATA displays information on file contents.
Using SET DATA “<file>” followed by SHADE <variable> (or another plotting command) produces a plot of the requested data.
Thredds Data Server Dataset index catalog page loads without timeout and within reasonable time expectations (<10 s).
Thredds Data Service Endpoints HTTP Download: File download commences when selected the HTTPServer option from the THREDDS catalog page for the file.
OPeNDAP: When selecting OPeNDAP from the THREDDS catalog page for the file, the OPeNDAP Dataset Access Form page loads without error. From the OPeNDAP Dataset Access Form page, a data subset is returned in ASCII format after selecting data and clicking the Get ASCII option at the top of the page.
Godiva2: When selecting the Godiva2 viewer option from the THREDDS catalog page for the file, the viewer displays the file contents.
WMS: When selecting the WMS option from the THREDDS catalog page for the file, the web browser displays the GetCapabilities information in xml format. After constructing a GetMap request, the web browser displays the corresponding map.
WCS: When selecting the WCS option from the THREDDS catalog page for the file, the web browser displays the GetCapabilities information in XML format. After constructing a GetCoverage request, file download of coverage commences.
Panoply From the File → Open menu, the file can be opened. File contents and metadata displayed.
Using Create Plot for a selected variable, data is displayed correctly in new plot window.
QGIS Using the Add WMS/WMTS menu option, QGIS can request GetCapabilities and/or GetMap operations, and the layer is visible.
The ncWMS GetCapabilities URL accepts and adds the NCI THREDDS Server, the request displays the available layers to select from, and a selected layer displays according to user expectations.
NASA Web WorldWind The ncWMS GetCapabilities URL accepts and adds the NCI THREDDS Server, the request displays the available layers to select from, and a selected layer displays according to user expectations.
PYTHON cdms2 The file can be opened by the Open function.
File metadata is displayed using Attributes function.
File data contents are displayed when using Variables function.
PYTHON netCDF4 The file can be opened by the Dataset function.
File metadata is displayed using ncattrs object.
File data contents are displayed using variables (and/or groups) objects.
PYTHON h5py The netcdf file can be opened by the File function.
The metadata and variables are displayed by the keys and attrs objects.
ParaView From the File → Open menu, the file can be opened and displayed as a layer in the Pipeline Browser. Enabling layer visibility results in data displaying in the Layout window.

Examples of tests and reports undertaken on NCI datasets prior to publication

Metadata QC checker reports

To assess the CF and ACDD compliance, NCI runs a QC checker prior to data publication and works with the data producer to rectify problems. The NCI checker is based on the U.S. Integrated Ocean Observing System (IOOS) Compliance Checker[17] but has been modified to include additional checks relevant to NCI’s data services as well as the modified ACDD convention. Appendix B shows an example QC checker report (Figure A1) with metadata that is 100% compliant with NCI’s requirements. In practice, the process usually needs to be run several times as the datasets are checked, feedback is given, and then re-run against the timestamp for each version to keep a record of metadata update provenance. The reports are shared with the data producers with comments and additional feedback provided in the “high/medium/low-priority suggestions” section at the end of the report, depending on the potential impact of non-compliance.

Due to the large number of data files that can be involved, NCI’s QC checker has been modified to enable parallelization so that multiple processes can be run simultaneously, thus increasing performance of the checking process. For instance, it takes less than a minute to check hundreds of files, and about 10 minutes for tens of thousands. For the largest datasets, the QC checker can typically run on more than one million files at a time.

The QC checker also helps to find corrupted or temporary files, which can be easily overlooked or not detected by the data producers, especially during a batch production process.

Functionality test QA reports

Appendix B provides an example report (Figure A2) of the QA results from checking three data files when accessed directly on the filesystem and their service endpoints for access via THREDDS. The functionality test shows that the variable structure within the data of two files (2 GB and 4 GB) are too large to load the files into several commonly used data viewers, such as ncview (v2.1.1) and Panoply (v4.5.1), and they have similar issues on opening files through the service endpoints. In this case, our advice for mitigation is to reduce the requested size of the image by using a lower resolution or to work in situ with this particular data file, as recorded in the comments of Figure A2, sections b and c.

Benchmarking use cases

In the benchmark tests several popular tools and APIs are run to evaluate their elapsed time on accessing data either residing on the local filesystem or being accessed via data services. The test files in the example NCI functionality QA test report (Figure A2) are used in the benchmark tests, and their data structures are listed in Table 3. We access the 2D variable in each file, which is recorded at (lat, lon), chunked at (128,128) and deflated at level 2.

Table 3. Data structure of the sample files used in the benchmark tests
Attributes File 1 File 2 File 3
lon (double) Size 5717 59501 40954
Chunksize 128 128 128
lat (double) Size 4182 41882 34761
Chunksize 128 128 128
Variable(float) Name grav_ir_anomaly mag_tmi_rtp_anomaly rad_air_dose_rate
Size (4182,5717) (41882,59501) (34761,40954)
Chunksize (128,128) (128,128) (128,128)
Deflate Level 2 2 2
Format netCDF-4 classic model netCDF-4 classic model netCDF-4 classic model

The elapsed time of the benchmark tests are listed in Table 4. The netCDF utilities such as ncdump or h5dump could dump the contents of netCDF files into an ASCII representation. They are frequently used in the functionality test of the QA report to fetch the metadata of the netCDF files. In the performance benchmarking tests, we measure the elapsed time to dump the whole variable as human-readable ASCII text. This performance relies on the internal data organization, such as contiguous or chunking, deflation shuffling, etc., and involves numerous type conventional operations. Such conventions may also incur a heavy overhead during the dump process, and it could take a very long time to complete the access of a large size file.

Table 4. Benchmark results (in sec.)
Program/Service Test File 1 File 2 File 3
NetCDF Utilities ncdump 8.630 5584.414 3246.879
h5dump 40.547 3546.999 2373.483
Python (2.7.x) netCDF APIs netCDF4-python (1.2.7) 0.445 48.603 29.160
GDAL-python (1.11.1) 0.421 42.654 25.538
h5py (v2.6.0) 0.356 40.105 23.826
THREDDS Data Server (TDS) netCDF4-python (1.2.7) 3.087 282.797 185.358
OPeNDAP (TDS v4.6.6) 3.038 277.21 194.85
netCDF Subset Service (TDS v4.6.6) 2.833 248.194 158.236

In Table 4 we show an extreme case where a file provided complies with standard QC checks and is well formatted. However, when we evaluate the file using the standard suite of tools we see that the elapsed time of using both ncdump and h5dump can take hours to dump a variable for a file size of 2 GB or 4 GB. To evaluate performance of programmatic methods on netCDF files, we use netCDF4-python, Geospatial Data Abstraction Library (GDAL)-python, and h5py to access the target files from the Lustre filesystems. In this case our tests show that all APIs could use much less time fetching the whole variable than netCDF dump tools due to the removal of overheads on data convention and transporting. Our tests also show that h5py presents the best performance. Since netCDF-4 is essentially a profile of the HDF5 format, both netCDF4-python and GDAL-python eventually invoke the HDF5 library to access the data. NetCDF4-python can also access data from the THREDDS server (which is tested for performance on our high speed internal network), but it takes nearly six times longer to access the data via the data service when compared with accessing the same volume of data on our Lustre filesystem. All three tools take a similar time to access data from our THREDDS server. By default, netCDF4-python and THREDDS have a request size limit of 500 MB, so it is necessary to divide the fetching process into several individual requests if the target dataset is larger than 500 MB. NCSS, on the other hand, has a much larger file limit per request so less requests are needed in NCSS than either netCDF4-python or THREDDS.



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Notes

This presentation is faithful to the original, with only a few minor changes to presentation. In some cases important information was missing from the references, and that information was added. Several URL from the original were dead, and more current URLs were substituted.