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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>An OWL Ontology for the Generic Statistical Information Model (GSIM): Design and Implementation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Antoine Dreyer</string-name>
          <email>antoine.dreyer@insee.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Guillaume Duffes</string-name>
          <email>guillaume.duffes@insee.fr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniel Gillman</string-name>
          <email>Gillman.Daniel@bls.gov</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Monica Scannapieco</string-name>
          <email>monica.scannapieco@istat.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Laura Tosco</string-name>
          <email>laura.tosco@istat.it</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>BLS - U.S. Bureau of Labor Statistics</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>INSEE - National Institute of Statistics and Economic Studies (antoine.dreyer</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>ISTAT - Italian National Institute of Statistics</institution>
        </aff>
      </contrib-group>
      <abstract>
        <p>In this paper, we propose an OWL ontology for GSIM - the Generic Statistical Information Model, which is a framework for statistical metadata promoted by the UNECE and internationally endorsed by statistical organizations. After illustrating some use cases on possible different uses of the GSIM ontology, we detail the design and development process followed to generate it.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>GSIM – Generic Statistical Information Model – is an internationally endorsed
reference framework for statistical information, which enables generic descriptions of
the definition, management, and use of data and metadata throughout the statistical
production process. It has been increasingly adopted by national statistical institutes
over the past years as their reference conceptual model.</p>
      <p>
        Linked Data and Semantic Web standards are also being progressively adopted by
statistical organizations. For instance, in 2016 UNECE (United Nations Economic
Commission for Europe) established a project [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] that prescribes the use of Linked
Data for modeling statistical metadata as one of one of its principal aims.
      </p>
      <p>In this paper, we propose an OWL ontology for GSIM. There are multiple benefits
to this effort, including having a formal and machine-actionable representation of a
statistical model, allowing consistency checks among different models, and promoting
interoperability across statistical conceptual models.</p>
      <p>The rest of the paper is organized as follows: Section 2 introduces GSIM basics;
Section 3 illustrates some use cases of the GSIM ontology; Section 4 provides the
detail of how the GSIM ontology was generated; and, finally, Section 5 provides a
conclusion and a description of future work.</p>
    </sec>
    <sec id="sec-2">
      <title>Background: What is GSIM?</title>
      <p>
        The text and figures in this section are adapted from the GSIM Communication
Paper on the Generic Statistical Information Model (GSIM) website [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] under the
UNECE (United Nations Economic Commission for Europe) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        GSIM provides a set of standardized, consistently described classes, which are the
inputs and outputs in the design and production of statistics. The design and
production processes for which GSIM defined objects are the inputs and outputs are
themselves defined in the Generic Statistical Business Process Model (GSBPM) [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. As
such, GSIM and GSBPM are dual models of statistical production and data.
      </p>
      <p>In general, information and process models describing the same domain are duals
of each other in the sense that the classes in one model are the relationships in the
other. Though GSIM and GSBPM are not designed to directly convey this
connectedness, as GSBPM is more of an outline than a model, they nevertheless imply it. More
details about how GSIM and GSBPM are inter-connected follow below.</p>
      <p>GSIM does not include classes related to business functions within an organization
such as human resources, finance, or legal functions, except to the extent that this
information is used directly in statistical production.</p>
      <p>At the highest level, GSIM is designed and was developed in four sections. These
four top-level groups are described below:
• The Business group is used to capture the designs and plans of statistical programs,
and the processes undertaken to deliver those programs. This includes the
identification of a Statistical Need, the Business Processes that compose the Statistical
Program, and the evaluations of them.
• The Exchange group is used to catalogue the information that comes in and out of
a statistical organization via Exchange Channels. It includes classes that describe
the collection and dissemination of information.
• The Concepts group is used to define the meaning of data, providing an
understanding of what the data are measuring.
• The Structures group is used to describe and define the terms used in relation to
structures for organizing data.
• “A statistical organization initiates a Statistical Program. The Statistical Program
corresponds to an ongoing activity such as a survey or an output series and has a
Statistical Program Cycle (for example it repeats quarterly or annually).
• The Statistical Program Cycle will include a set of Business Processes. The
Business Processes consist of a number of Process Steps which are specified by a
Process Design. These Process Designs have Process Input Specifications and
Process Output Specifications.
• The specifications will often be pieces of information that refer to Concepts and
Structures (for example, Statistical Classification, Variable, Population, Data
Structure, and Data Set). If, for example, the Business Process is related to the
collection of data, there will be an Information Provider who agrees to provide the
statistical organisation with data (via a Provision Agreement). This Provision
Agreement specifies an agreed Data Structure and governs the Exchange Channel
used for the incoming information. The Exchange Channel could be a
Questionnaire or an Administrative Register. It will receive the information via a particular
mechanism (Protocol) such as an interview or a data file exchange.
• The Data Set produced by the Exchange Channel will be stored in a
Data Resource and structured by a Data Structure.”</p>
      <p>As described above, GSIM and GSBPM are dual models for the production and
management of statistical data. GSBPM models the statistical production process and
identifies the activities undertaken by producers of official statistics that result in
information outputs. These activities are broken down into sub-processes, such as
“Impute” and “Calculate aggregates”. As shown in Figure 2, GSIM helps describe
GSBPM sub-processes by defining the objects that flow between them, that are
created in them, and that are used by them to produce official statistics.</p>
      <sec id="sec-2-1">
        <title>Input</title>
        <p>- Any GSIM Information</p>
        <p>Object(s)
(e.g. Data Set, Variable)
- Process parameters</p>
      </sec>
      <sec id="sec-2-2">
        <title>GSBPM</title>
        <p>Sub-process</p>
      </sec>
      <sec id="sec-2-3">
        <title>Output</title>
        <p>- Transformed (or new)</p>
        <p>GSIM Information</p>
        <p>Object(s)
- Process metrics</p>
        <p>Greater value will be obtained from GSIM if it is applied in conjunction with
GSBPM. Likewise, greater value will be obtained from GSBPM if it is applied in
conjunction with GSIM. Nevertheless, it is possible (although not ideal) to apply one
without the other. In the same way that individual statistical business processes do
not use all of the sub-processes described within GSBPM, it is very unlikely that all
classes in the GSIM will be needed in any specific statistical business process.</p>
        <p>Good metadata management is essential for the efficient operation of statistical
business processes. Metadata are present in every phase of GSBPM, either created,
updated, or carried forward unchanged from a previous phase. In the context of
GSBPM, the emphasis of the over-arching process of metadata management is on the
creation, updating, use, and reuse of metadata. Metadata management strategies and
systems are therefore vital to the operation of GSBPM, and are facilitated by GSIM.</p>
        <p>Applying GSIM together with GSBPM (or an organization-specific equivalent) can
facilitate the building of efficient metadata driven collection, processing, and
dissemination systems, and help harmonize statistical computing infrastructures.</p>
        <p>
          GSIM supports a consistent approach to metadata, facilitating the primary role for
metadata envisaged in Part A of the Common Metadata Framework "Statistical
Metadata in a Corporate Context" [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ], that is, metadata should uniquely and formally
define the content and links between objects and processes in the information system.
3
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Use Cases</title>
      <p>This section contains descriptions of some possible use cases for implementing the
GSIM OWL ontology within National Statistical Offices (NSOs). Linked Data
standards permit the expression of data and metadata according to machine-actionable,
formal, and interoperable models. NSOs on the other hand need to share common
metadata models, as witnessed by proposals such as GSIM. Improving information
systems supporting statistical production is made possible by representing such
models with Linked Data standards, as shown by the following: the use case described in
Section 3.1 shows the usage of the GSIM ontology to improve a central system for
metadata representation in Istat (the Italian National Institute of Statistics); the use
case described in Section 3.2 shows how the GSIM ontology enables interoperability
between statistical models.
3.1</p>
      <sec id="sec-3-1">
        <title>Using GSIM OWL ontology to query data and metadata within NSOs</title>
        <p>The GSIM representations provided so far, such as the GSIM UML representation,
have been mainly used as a source of documentation on a common and shared model.
In addition, the GSIM ontology can be used as a model for data and metadata
representation, thus enabling direct queries on data and metadata.</p>
        <p>Istat currently has a unitary metadata system that centralizes metadata used within
its statistical production processes. This system has an underlying relational database
that has been designed according to GSIM. This means that there are relational tables
for representing classifications, code lists, statistical variables etc. This system could
be integrated with the GSIM OWL ontology by mapping the ontology to those data
that are currently in that relational database. The following specific benefits can be
identified as a result of such an integration:
1. Decoupling the conceptual representation of GSIM from the logical data
storage implemented by the unitary metadata system, and in this way be able to
(i) make queries on data directly specified in the GSIM standard and (ii)
easily align data if modifications to the GSIM standard occur overtime.
2. Ability to easily make metadata queries, e.g. Which are the “gsim:process
steps” that a given “gsim:business process” X “gsim:has”?
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Interoperability between GSIM and GSBPM ontologies</title>
        <p>
          An additional use of the GSIM ontology is to map from one statistical model to
another, establishing interoperability across models. As mentioned in Section 2,
GSBPM is the model adopted for representing the phases of Official Statistics
production. A GSBPM ontology has been already proposed in [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ].
        </p>
        <p>As will be described in Section 4, there are some concepts of the GSIM ontology
that have been identified as “equivalent to” some concepts of the GSBPM ontology.</p>
        <p>As an example, “gsim:business process” is “equivalent to” “gsbpm:statistical
production activity”. But notice instead, “gsim:process step” is NOT “equivalent to”
“gsbpm:phase”. Indeed, GSBPM does not imply a sequencing of the “gsbpm:phases”,
instead the sequence is implied by “gsim:process step”.</p>
        <p>Now let us suppose that there is a database (e.g. triple-store) with data described
according to the GSIM ontology and to the GSBPM ontology. A user could in this
case pose the following query exploiting both ontologies:</p>
        <p>For a given “gsbpm:statistical production activity” Y , which is the set of
“gsim:business service” “gsim:used by” “gsim:businessprocess”X (equivalent to Y)?</p>
        <p>This use case illustrates how two statistical models proposed independently, GSIM
for statistical information and GSBPM for statistical processes, can be integrated. The
main benefits of such an integration are: (i) the ability for joint use of the models
when developing systems based on them and (ii) the possibility of checking and
monitoring the consistency of modifications that are proposed to the standards over
time.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Building the GSIM Ontology</title>
      <p>In the GSIM official documentation, UML (Unified Modeling Language) is used to
visually represent the information model. UML is based on the object-oriented
paradigm, thus it employs classes, relationships, and attributes for representing a model.</p>
      <p>Starting from the UML for GSIM, we defined a GSIM ontology by expressing it in
OWL. OWL is a knowledge representation language with the following basic notions:
(i) Axioms – the basic assumptions that an OWL ontology expresses; (ii) Entities –
elements used to refer to real-world objects; and (iii) Expressions – combinations of
entities that form complex descriptions from basic ones. Entities are all atomic
constituents of statements: objects, categories, or relations. In OWL objects are denoted
as individuals, categories as classes, and relations as properties. Properties are further
subdivided into Object properties that relate objects to objects, and Datatype
properties that assign data values to objects. Finally, Annotation properties encode
information about the ontology itself instead of the domain of interest.</p>
      <p>In the creation process of the GSIM ontology, the UML classes have been mapped
into OWL Classes, relations into Object properties, and attributes into Datatype
properties. The subclasses of UML schemas have been modeled with the OWL object
property called subClassOf that relates the main class with its subclasses.</p>
      <p>Given the differences between the two languages described above, there is not
always a direct correspondence between their respective elements. As an example, an
abstract class in UML does not have a direct correspondent with any OWL class
because the notion of what belongs to a class in OWL is more fluid. Additional
statements on Classes, ObjectProperties, and DataProperties (e.g. objectIntersectionOf,
disjointClasses) allow representing the domain of interest more fully.</p>
      <p>
        In the following sections we describe the two different approaches we used to build
the GSIM ontology. In the first approach, we started from the official specification
document of the GSIM model [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] rendered in UML, and we modeled the classes and
the properties defined therein in OWL; in the second approach, we started from the
UML models and exported them into XMI (XML Metadata Interchange1) files. The
results of the two processes were compared against each other in order to reason
about inconsistencies. Then, the effort was made to resolve those inconsistencies.
4.1
      </p>
      <sec id="sec-4-1">
        <title>First approach: starting from the Generic Statistical Information Model</title>
      </sec>
      <sec id="sec-4-2">
        <title>Specification Document</title>
        <p>We started by studying the specification document of the GSIM model. From this we
deduced which concepts are to be represented in the ontology, which properties link
the concepts to each other, and what the data properties of the concepts are.</p>
        <p>As summarized in Section 2, GSIM concepts are grouped in five main topics areas:
(i) Base, (ii) Business, (iii) Concepts, (iv) Exchange, and (v) Structures. In the
ontology, we maintained this structure by defining five Classes with those names (see
Figure 3); in each Class we defined sub-classes for each concept contained in the topic.
1
http://www.omg.org/spec/XMI/
In the GSIM specification document, the relationships between concepts often have
the same name as the attributes of the concepts. As an example in Figure 4, two
different concepts, Information Provider and Information Consumer, use the same
relation “agrees to” in their relationships with the concept Provision Agreement. In the
ontology representation, the concepts Information Provider and Information
Consumer are the “domains” of the relations “agrees to” and the concept Provision Agreement
is the common range. However “agrees to” must become two different properties in
the ontology otherwise, it is implicitly assumed an intersection of the domains, which
is not true in general.
To distinguish the properties we adopted the following notation (see also Figure 5):</p>
        <p>Property Name || first letters of Domain || first letters of Range
The notation is valid for Object Properties, while in the case of Data Properties the
“first letters of Range” are missing.
Classes
Object Properties
Data Properties
subClassOf Axioms
equivalentClass Axioms
ObjectPropertyDomain Axioms
ObjectPropertyRange Axiom
FunctionalDataProperty Axioms
DatapropertyDomain Axioms
DataPropertyDomain Axioms</p>
      </sec>
      <sec id="sec-4-3">
        <title>Introduction</title>
        <p>Through the use of UML modeling with Enterprise Architect (EA), GSIM is
already fully specified in machine-actionable format. Since the approach described
previously showed that GSIM could be expressed in OWL, the next step was to
translate directly and automatically from EA to RDF. We tried to create a fully automated
procedure, so that it could accommodate future GSIM modifications.</p>
        <p>
          The method used here to transform UML to RDF is an ad hoc XSL transformation,
which is direct, efficient, and simple, but depends on the way UML is used. We could
do it because the GSIM specification is coherent and well-written. Other approaches
could have been used, for example Model Driven Architecture based solutions [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] or
the Ontology Definition Metamodel2, a standard defined by the Object Management
2 http://www.omg.org/spec/ODM/1.1/.
Group (OMG) and implemented in EA3, which extends UML with additional
modeling notations to allow representation in OWL. Since GSIM uses only simple UML
constructs, we felt that those approaches were too complex in this specific case.
        </p>
      </sec>
      <sec id="sec-4-4">
        <title>From UML to XML (XMI) to simplified XML</title>
        <p>The first step was to export the UML description from EA (version 10) to a file in
the XMI 2.1 format, which is the standard created by the OMG for expressing UML
in XML. We then used an existing XSL transformation4 (XSLT) provided by the
UNECE to extract the relevant information in a simpler and more convenient XML
format. From there, we wrote the XSL transformation to produce RDF/XML.</p>
      </sec>
      <sec id="sec-4-5">
        <title>From XML to RDF for classes and packages</title>
        <p>The UML and RDF concepts for classes are very close, so no adaptation was
needed. Basically, we did a one-to-one mapping. However, since the UML model was
divided into packages corresponding to the different GSIM groups described above,
we adopted the same method as in the previous approach and made all classes of a
package sub-classes of a class representing the package (Structure, Business, etc.).</p>
      </sec>
      <sec id="sec-4-6">
        <title>From XML to RDF for properties: first part</title>
        <p>UML attributes and relationships are both represented by, and transformed into,
RDF properties. RDF distinguishes between annotation, data, and object properties,
depending on the type of their range (we did not use annotation properties).</p>
        <p>Most parts of UML attributes and relationships are easy to transform into RDF.
Only the nature of the relationships between classes (associations, compositions, etc.)
was not used. The approach described in 4.1 proved that this was not necessary, and
we felt the complexity added in taking them into account was not worth it.</p>
        <p>The domain of a property (the class described by the attribute or relationship) is
always known, by construction of the UML. Cardinality restrictions are specified in
UML the same way as in OWL, even if zero-minimum and n-maximum cardinality
restrictions need not be specified in OWL. The range of a relationship (the class it
points to) is found by a one-to-one mapping, but the range of an attribute cannot
always be kept as is. If the original attribute range cannot be mapped to a known class
or type (binary to xs:boolean for instance), we transformed it to a xs:string.</p>
        <p>Among the UML attributes are also three types of comments (Definition,
Explanatory text, and Synonyms), which we transformed into corresponding RDF properties.</p>
      </sec>
      <sec id="sec-4-7">
        <title>From XML to RDF for properties: difficulty to find a name</title>
        <p>The name part of UML attributes and relationships is much harder to transform
into RDF, since in UML the name is a tag, whereas in RDF it must uniquely identify the
property. The conversion between UML and RDF is not straightforward, because
UML attributes are parts of one class and UML relationships exist only to connect
classes, whereas RDF properties are first-level objects by themselves. That is why we
had to build a clear algorithm to construct unique names for properties.
3 http://www.sparxsystems.com/enterprise_architect_user_guide/9.2/domain_based_models/md
g_technology_for_odm.html
4 https://github.com/FranckCo/GSIM-SPAP/blob/master/transformations/read-xmi.xsl</p>
        <p>A simple choice would have been to create one property for each attribute and each
relationship, as in the previous approach, but this raises a problem by creating
redundant properties. A good example is the “name” attribute that many UML classes have:
all of them link the property to a character string, and most of them have the same
cardinality restriction (at most one name is possible). Creating only one property for
those cases is more desirable, because someone wanting to know the label of a class
would only have to query its “name”, but there is a risk of merging relationships or
attributes where it is not appropriate. Those accidents produce weird property
domains or ranges that are easily spotted in the resulting ontology. They can thus be
reported back to the GSIM designers in order to be fixed directly in the UML model.</p>
      </sec>
      <sec id="sec-4-8">
        <title>Detailed process to obtain RDF properties</title>
        <p>In this section, we describe the algorithm used to decide whether two or more
attributes or relationships of the same name can be grouped into one RDF property.
Apart from the name, the decision criteria are range, domain, range cardinality
restrictions, and domain cardinality restrictions.</p>
        <p>When several attributes have to be merged into one property, different non-empty
comments are merged by concatenating the domain of the attribute and the comment.</p>
        <p>
          To merge properties together, the following decision tree is used:
Is original attribute/link name unique?
• [Yes] one property
• [No] is the original name with source name and destination name unique?
• [Yes] one property
• [No] is the combination original name / range name unique?
• [Yes] one property
• [No] is the cardinality restriction on range unique?
• [Yes] one property with a union of domains
• [No] since in the original file, the triple property range domain is unique, we build
for each triple a property name including the names of property range domain.
The implementation in XSLT is too long to be included here but the interested reader
can find the complete transformation on GitHub [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ].
5
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusions</title>
      <p>In this paper, we presented a preliminary effort to represent the Generic Statistical
Information Model as an RDF ontology. This ontology resulted from a two-pronged
approach: (i) a human-based approach that coded the ontology manually and that was
basically used as a benchmark to evaluate (ii) an automated approach that transformed
the XML format (XMI) exported from the existing UML model into an OWL
ontology. While the automation of the ontology creation in the second approach allows
significant efficiency gains, its reusability in other contexts is still to be assessed.</p>
      <p>The resulting ontology also illustrated how the UML version of GSIM contains
some incoherencies or incompatibilities with the rules defined by OWL. The type of
some attributes and relationship names were two such examples. Additionally, some
modeling choices had to be made, and they we will be submitted to the GSIM
management team for discussion and potential update. Nevertheless, we are convinced
that OWL enhances the semantic coherence of the model and should continue to be
used for representing the next GSIM versions as well as the other statistical models.</p>
      <p>The work ahead must be put in the perspective of the international collaborations
going on. The Common Statistical Production Architecture (CSPA) is an effort to
standardize production processes across all statistical offices, and work is currently
carried on to produce an OWL ontology for CSPA, as well as for the GSBPM as
already mentioned. In CSPA, production systems are built up from small modules that
can be shared. Hence, the GSBPM will guide the development of which modules
must be built, and GSIM will guide which metadata are inputs and outputs to each
process.</p>
      <p>The current SDMX and DDI specifications are indeed potential implementations of
GSIM. The next model-driven DDI version will not change the status of the DDI
standard: it will remain an implementation model. There is no mapping between
GSIM and DDI currently, but building in parallel an OWL ontology for GSIM and a
DDI information model expressed also in OWL should facilitate the mapping between
both without worrying about the practical limitations of the automatic transformation
from XML to RDF as described in this paper. For instance the next version of DDI,
which aims to achieve a more complete coverage of GSIM could directly reference
the GSIM OWL classes and properties since they are expressed in a RDF syntax.</p>
      <p>The same approach could be applied to SDMX. The RDF Data Cube vocabulary
covers only a very partial part of the SDMX information model. However, a next
version of the Data Cube could possibly map some of its classes/properties to GSIM
ones, and potentially to DDI by transitivity.</p>
      <p>As these standards are formalized as linked metadata on both conceptual and
implementation sides, it will be possible to move towards more integration and a more
formalized semantics of statistical production within and across statistical offices.
6</p>
    </sec>
  </body>
  <back>
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      </ref>
      <ref id="ref8">
        <mixed-citation>8. Description Logic: https://en.wikipedia.org/wiki/Description_logic</mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          9.
          <string-name>
            <surname>Dragan</surname>
            <given-names>Đurić</given-names>
          </string-name>
          ,
          <source>MDA-based Ontology Infrastructure</source>
          , http://www.comsis.org/pdf.php?id=
          <fpage>nnn</fpage>
          -
          <lpage>1105</lpage>
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>10. XSLT transformation: https://github.com/FranckCo/Stamina/blob/master/src/xsl/gsim-xmito-owl.xsl.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>