<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Towards Easy Matching Between Statistical Linked Data: Dimension Patterns</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Hideto Sato</string-name>
          <email>sato@tiu.ac.jp</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Wen Wen</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Tokyo International University</institution>
          ,
          <addr-line>Kawagoe</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Users of statistics expect linked data technology to make it easy to discover statistical data from different sources that can match each other. We carried out a trial matching between statistical linked data and pointed out the importance of upper concepts concerning dimensions and schema-level description about external linkages. We surveyed statistical linked data endpoints, finding that many dimension descriptions cannot have the information about the upper concepts and the external linkages. It is because they directly use external resources, to which local description cannot be added. Hence, we propose two patterns of dimension description to avoid this problem. So far, only small numbers of upper concepts have been supplied for statistical data. Therefore, the parts of the patterns concerning upper concepts are preparatory for the future and the benefit of the patterns is limited at present.</p>
      </abstract>
      <kwd-group>
        <kwd>statistical linked data</kwd>
        <kwd>RDF data cube</kwd>
        <kwd>dimension</kwd>
        <kwd>discovering</kwd>
        <kwd>matching</kwd>
        <kwd>alignment</kwd>
        <kwd>pattern</kwd>
        <kwd>alternate class</kwd>
        <kwd>adapter</kwd>
        <kwd>upper concept</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Users of statistics often use data from different sources widely distributed. They tend
to encounter difficulties in discovering data that can match each other. It is mainly
because the terminology and the structure used for data are different from each source
[
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Statistical linked data are expected to improve this situation. Linked data create
typed links between data from different sources and provides integrated access to data
from a wide range of distributed and heterogeneous data sources [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>
        Standardization of vocabulary for describing statistical linked data is now in
progress. It is "The RDF Data Cube Vocabulary" (QB for short) by W3C [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Many
statistics have already been published as linked data based on QB.
      </p>
      <p>
        On the other hand, as to linked data in general, many methods have been proposed
for matching heterogeneous data from different sources [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. In order to discover
appropriate datasets from widely distributed statistics, we consider that a promising way
is rough selection of the candidates by using upper ontology and its refinement by
using the scheme-level information.1 As for upper ontology, QB provides a bridge to
some upper concepts by referring to the SDMX-RDF vocabulary based on the SDMX
cross-domain concepts [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. We use the upper-level resources in the SDMX-RDF
vocabulary as examples of upper concepts in this paper.
      </p>
      <p>For investigating the benefit of upper concepts and schema-level information in a
matching process, we carried out a trial matching between linked data. We found out
that, if dimensions were defined in a better way, upper-level resources were referred
to properly and schema-level description about external links existed, the matching
would be done in a considerably automatic way. Next, we surveyed sites where
statistical linked data were published via SPARQL endpoints, investigating how they used
upper concepts and external links.</p>
      <p>Based on this trial and the survey, we propose patterns of dimension description.
These patterns are basically according to the example found in the QB draft and
enable to describe upper concepts and external link information in the schema level.</p>
      <p>So far, only small numbers of upper concepts are available for statistical data, so
that the benefit of the patterns proposed here is limited. However, with the growth of
statistical linked data, upper concepts for them will be supplied by many
communities. We think that the parts of the patterns concerning upper concepts are preparatory
for the next stage of statistical linked data.</p>
      <p>In addition, for instance matching, we deal with merely exact matching. There are
many complex problems in matching statistical data, such as handling similarity or
versioning of dimension values. Even in these cases, it is necessary to find target
datasets and target dimensions before instance matching. We consider that discovering
datasets and dimensions may be similar to our cases.</p>
      <p>In Section 2, the above trial matching is explained and the findings in it are
summarized. In Section 3, we outline the result of our survey of statistical linked data
sites. In Section 4, based on the findings in the trial and the survey, we propose
patterns each of which describes a dimension and its related resources. Finally, we
summarize our conclusion and future works in Section 5.</p>
      <p>
        Throughout this paper, we use prefixes such as qb:, sdmx-dimension:, sdmx-code:,
sdmx-concept:, eg: and interval:. The URIs for these, please refer to the QB draft [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
2
2.1
      </p>
    </sec>
    <sec id="sec-2">
      <title>Trial Matching Between Statistics</title>
      <sec id="sec-2-1">
        <title>Outline of the Trial</title>
        <p>We carried out a trial matching in order to investigate what helps automatic matching
between statistical data from different sources. This was done in September 2012. We
took up Italian Immigration Statistics (ItImmStat for short) and World Bank Statistics
(WBStat for short) as samples. We tried to get the numbers of immigrants to Italy by
birth country by year from ItImmStat and the total population by country by year
from WBStat. Then we integrated them.</p>
        <p>Both statistics were published as linked data based on QB via SPARQL endpoints.2
2 ItImmStat: http://sparql.linkedopendata.it/istat</p>
        <p>WBStat: http://worldbank.270a.info/
We could get the integrated data by creating an application with SPARQL queries.
However, it was difficult to formulate the above SPARQL queries mechanically, and
we were forced to read the labels or the comments in order to understand the meaning
of each dimension and to identify dimension values to be used for matching. It was
because the two linked data were different from each other in description though both
were based on QB.</p>
        <p>In this trial, we extracted observation data by matching country codes of area
dimensions of the two statistics and by matching year codes of time dimensions of
them. The following subsections explain problems and solutions that we found in this
trial for each dimension.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Matching Between Area Dimensions</title>
        <p>
          At first, it is necessary to identify dimension properties for the matching. In this
case, we tried to identify a dimension for places of residence in WBStat and a
dimension for places of birth in ItImmStat. In SDMX, REF_AREA is a concept for the area
directly related to the statistical phenomenon (e.g. places of residence) and
VIS_AREA is a concept for the secondary area (e.g. places of birth) [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. Hence, we
looked for a dimension that was a subproperty of sdmx-dimension:refArea in WBStat
and a dimension that was a subproperty of sdmx-dimension:visArea in ItImmStat.
        </p>
        <p>We could find sdmx-dimension:refArea easily in WBStat because
sdmxdimension:refArea was directly used as a dimension property. However, we could not
find the dimension for birthplace in ItImmStat mechanically. We were forced to read
the labels and the comments to find istat:dimension-paesi as the birth country
dimension. This is not a problem of ItImmStat. sdmx-dimension:visArea has been removed
in the current version of sdmx-dimension.ttl while sdmx-concept:visArea exists in
sdmx-concept.ttl. If there had existed upper-level resources to distinguish “place of
birth” and “place of residence” and if they had been referred to as the super dimension
properties, we could have done this step automatically.</p>
        <p>After finding the dimension candidates, we have to check whether the candidates
are appropriate to the purpose. In this case, it was whether the dimension values were
country codes or not. As for area, there exist many types of division, such as
countries, domestic administrative areas, and river basins. These are differences among
code classes (range classes of dimensions). While the SDMS-RDF provides
sdmxcode:Area that represents the uppermost concept of area codes, it does not supply
subclasses of sdmx-code:Area. If there had existed upper-level resources that
distinguished the types of area code, we could have done this step automatically, too.</p>
        <p>Herein, we found one problem. Please, look at Fig.1. The dimension property of
WBStat is the upper-level “sdmx-dimension:refArea”. This is an external resource, so
that it is impossible to designate its range locally. Therefore, there is no way to
declare a link to the upper-level code class. This problem can be resolved by introducing
a local dimension property and a local code class as drawn with broken lines in Fig.1.</p>
        <p>Next, we examined instance matching between area codes. For ItImmStat, we
could easily get the area codes because the dimension property had a link to its code
list resource. On the contrary, since WBStat used the upper-level dimension property
as above, neither its range nor its code list were available in the dimension definition.
We had to get the area codes by searching the observation data. We think that the
reshaping of the dimension definition as mentioned above is desirable from this point
of view, too.</p>
        <p>Since both ItImmStat and WBStat defined the country codes as their local URIs,
these codes themselves did not match each other. However, ItImmStat linked their
country codes to those of Geonames and DBPedia by using skos:exactMatch and
WBStat did the same by using owl:sameAs. By using them, the country codes of the
two datasets could match. As might be expected, we could not know, in the schema
level, whether links to external codes existed or not. We had to retrieve the code
instances to know it. If there had existed schema level information about external links,
we could have done the matching rather automatically.
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>Matching Between Time Dimensions</title>
        <p>The description of time dimensions in the both linked data was similar to that of the
area dimensions. SDMX defines REF_PERIOD as a concept for a period of time or
point in time related to measured observations. ItImmStat defined the time dimension
property locally and declared that it was a subproperty of sdmx-dimension:refPeriod.
WBStat used sdmx-dimension:refPeriod directly as the time dimension property.
Hence, it was easy to find time dimensions to match.</p>
        <p>As the dimension property in ItImmStat had a link to its code list, we could easily
get the time codes in use. In the case of WBStat, neither range nor code list was
available. We had to search the observation data to get the time codes in use.</p>
        <p>ItImmStat defined the time codes as their local URIs and linked them, by using
skos:exactMatch, to those defined by data.gov.uk. WBStat used time the codes
defined by data.gov.uk directly in the observation data. Hence, we could match them.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Survey of Statistical Linked Data Endpoints</title>
      <p>We surveyed existing statistical linked data for checking how they describe
dimensions and their related resources. We looked up the sites listed in the "Data Cube
Implementations" page of W3C 3 and selected nine sites, each of which was accessible
via SPARQL endpoints and published datasets having both area and time dimensions.
Although the number of sites surveyed is very small and about half of the creators of
the datasets are the same, we suppose that we can figure out approximate tendency of
currently published statistical linked data.
3.1</p>
      <sec id="sec-3-1">
        <title>Area Dimension</title>
        <p>3 http://www.w3.org/2011/gld/wiki/Data_Cube_Implementations</p>
        <p>For the range classes, many sites define them but they are almost all local, so that
they give no information for matching. Only the row "c" (Bathing Water Quality)
specifies the generic range class (WGS84: World Geodetic System). As for the range
classes, various types such as countries, domestic administrative areas, river basins
and geographic points were used. In order to judge the matching possibility precisely,
upper concepts representing them are necessary.</p>
        <p>Next, let us examine instance codes. While almost all datasets surveyed here use
locally defined area codes, 8 DSDs provide links to widely sharable external codes.</p>
        <p>Table.2 summarizes information about the time dimensions in a way similar to
Table.1. As for the "dimension" and "generic dimension" columns, 6 DSDs in 12 ones
use local dimension properties and referring to the upper-level "sd:refPeriod"
(sdmxdimension: refPeriod). 3 DSDs directly use this upper-level dimension property.
Hence, for three-quarters of DSDs, the time dimension is identifiable in a schema
level, but three of them have the same problem as in WBStat in Section 2. For the
4 The homepage URLs for the endpoints surveyed here are as follows:
a: Consumption data (Scotland), http://cofog01.data.scotland.gov.uk/
b: ECB (European Central Bank) Linked Data, http://ecb.270a.info/
c: Environment Agency, Bathing water quality, http://environment.data.gov.uk
d: FAO Linked Data, http://fao.270a.info/
e: ISTAT Immigration,
http://www.linkedopendata.it/datasets/istatimmigration
f: OECD Linked Data, http://oecd.270a.info/
g: Open Data Communities, http://opendatacommunities.org/
h: Transparence International Linked Data, http://transparency.270a.info/
i: World Bank Linked Data, http://worldbank.270a.info/
range classes, two sites labeled as "a" and "c" specifies widely known code classes.
Herein, "uk:Interval" and "uk:CalenderYear" are abbreviations of "interval:Interval"
and "interval:Calender Year" defined by data.gov.uk.</p>
        <p>Since time concepts are common in the world, the difference among years,
quarters, months and so on can be specified by a range class when using codes defined by
data.gov.uk. Generic code classes for time codes may be unnecessary.</p>
        <p>Next, let us examine instance codes. "data.gov.uk" in the "code" and "alternate
code" columns represents the time codes defined by data.gov.uk. Two-thirds sites
adopt this code system directly or via skos:exactMatch. Nevertheless, it is not
confirmed in the schema level except the above two sites, because the range classes are
not specified. It is desirable to define the range class properly.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Proposed Patterns of Dimension Description</title>
      <sec id="sec-4-1">
        <title>Outline of Proposed Patterns</title>
        <p>As explained in Section 2, we can find dimension candidates to match if the
upperlevel resources are declared for each dimension and its range class. In addition,
instance matching can be done rather automatically if there exists schema-level
information about external code links. In this section, we consider patterns, according to
which one can define a dimension as having information about upper-level resources
and external linkages.</p>
        <p>From the trial in Section 2, we found that there is a case where it is difficult to add
schema-level information. It is direct use of an abstract upper-level dimension
property, on which it is impossible to add local information. We call this problem case (1).
A similar problem was found in the survey in Section 3. It is direct use of an external
code class, on which it is impossible to add local information, too. We call this
problem case (2).</p>
        <p>To resolve these problems, we present two patterns of dimension description. The
first one uses a local code class and another one uses an external code class. The
pattern with a local code class is much the same as the example found in the QB draft.
The problem of case (1) above can be resolved by rewriting it according to this
pattern. As for the pattern with an external code class, we propose an adapter class that
makes an external code class coexist with local description. The problem of case (2)
above can be resolved by applying this pattern.</p>
        <p>Our survey in Section 3 shows that three DSDs among twelve ones correspond to
case (1) and two area dimensions and eight time dimensions correspond to case (2).
4.2</p>
      </sec>
      <sec id="sec-4-2">
        <title>Pattern of Dimension with Local Codes</title>
        <p>The pattern of dimension with local codes is illustrated in Fig.2. Solid lines show the
definition of area dimension found in the example in the QB draft. A boldfaced string
in parentheses “( )” under a resource name indicates a resource type as in the pattern.
Broken lines express our additions.</p>
        <p>Though the example in this figure basically comes from the QB draft, it is slightly
modified. The original range class “admingeo:UnitaryAuthority” of the dimension
“eg:refArea” is not an SKOS class locally defined. However, as for area dimensions,
a large majority of actual statistical linked data adopts a locally defined code class as
shown in Table 1 in Section 3. Hence, we regard the code class of the area dimension
here as locally defined. To avoid confusion, the prefix is changed from “admingeo:”
to “eg:”. When using original “admingeo:UnitaryAuthority”, the pattern in the next
subsection must be applied.</p>
        <p>This pattern has three parts such as “local”, “external” and “upper” ones as shown
in Fig.2.5
Local components. "local:dimensionProperty" is a dimension property used for the
concerned dataset and the range of it is "local:CodeClass". "local:CodeClass" is a
concrete class of which instances can be enumerated, i.e. the code list corresponding
to it, "local:codeList", can be defined. An instance of the code class is "local:code",
i.e. a concrete code. All the components here are defined locally.</p>
        <p>External components. When a "local:code" corresponds to a sharable external code
("external:code"), the correspondence is written by using either skos:exactMatch or
owl:sameAs. A candidate of such an external code is a code defined by Geonames or
DBPedia for area and an interval resource by data.gov.uk for time. The class of such
external codes is "external:CodeClass".</p>
        <p>There is no general way to write the correspondence of "local:CodeClass" to
"external:CodeClass". Therefore we have to search code instances in order to verify
whether an "external:code" is used or not. To improve this, we introduce a new
predicate "ext:altClass" which maps a "local:CodeClass" to an "external:CodeClass".
Herein, "ext:" is a tentative prefix indicating an extension and "altClass" is an abbreviation
of "alternate class".6
Upper components. "upper:abstractDimensionProperty" represents an uppermost
super-property of a "local:dimensionProperty". A typical example of it is
sdmxdimension:refArea. This aims to clarify what is a concrete dimension, e.g. eg:refArea
is an area dimension. "upper:AbstractCodeClass" represents an uppermost superclass
of "local:CodeClass". A typical example of it is "sdmx-code:Area". This clarifies
what is a concrete class, e.g. eg:UnitaryAuthority is an area code class. These
upperlevel components would correspond to upper ontology for aligning heterogeneous
ontologies mentioned in Section 1.
4.3</p>
      </sec>
      <sec id="sec-4-3">
        <title>Pattern of Dimension with External Codes</title>
        <p>The pattern of dimension with external codes is illustrated in Fig.3. As for linked data,
it is desirable to use sharable external resources as far as possible. This pattern is
pro5
6</p>
        <p>
          Similar classification of resources is found in [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. They classify resources into three
categories, such as “local”, “external” and what’s under “sdmx”. In our case, “upper” is not the
same as “sdmx”. Only upper-level resources in the SDMX-RDF vocabulary are used as
examples of “upper” resources.
        </p>
        <p>We can describe external link information on a VoID RDF file. In fact, both ItImmStat and
WBStat in Section 2 provide their respective VoID files. However, we cannot identify
which dimension uses the external class written in the file as an alternate code class.
vided for this case by modifying the previous pattern. In Fig.3, the time dimension
found in the QB example is shown as an example.</p>
        <p>
          Since an external code class cannot be modified locally and it may not be an SKOS
class, it is impossible to link from "external:CodeClass" to
"upper:AbstractCodeClass" directly. For this reason, we propose to introduce
"local:CodeClassAdapter" as in Fig.3. This is a kind of an adapter (a wrapper) of "external:CodeClass".
This is linked to "external:CodeClass" by using owl:equivalentClass.
owl:equivalentClass states that the two classes have the same class extension but are not the
same class [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ]. Hence "local:CodeClassAdapter" is regarded as a class having the
same instances as in "external:CodeClass" and can have properties different from
those of "external:CodeClass". Hence, it is possible to make it as looking like
"local:CodeClass" in Fig.2. This type of adapter is often used in an object-oriented
domain when using components defined externally [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]. A similar adapter concept is
introduced in [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ] in a semantic web domain.
        </p>
        <p>When using this type of adapter, "local:CodeClassAdapter" becomes the range of
"local:dimensionProperty", moving the object of the rdfs:range predicate from
"external:CodeClass" to "local:CodeClassAdapter" as in Fig.3. Now, we can add an
rdfs:subClassOf link from "local:CodeClassAdapter" to "upper:AbstractCodeClass".
We can also add other annotations such as a comment to this type of code class. In
addition, we can declare an alternate class as seen in Fig.2 if necessary.</p>
      </sec>
      <sec id="sec-4-4">
        <title>Specifying an upper concept of a dimension. As seen in Section 2, it becomes easy</title>
        <p>to find dimensions to match when the super properties of the dimensions are specified
as upper-level resources, e.g. sdmx-dimension:refArea or sdmx-dimension:refPeriod.
In addition, for a dimension property of an actual dataset, it is not good to use directly
such an abstract upper-level dimension property. It is because neither its range nor its
code list is available. It is better to define a local resource for the dimension property
and to link it to an abstract upper-level one.</p>
        <p>Specifying a code class. A dimension property is a mapping that indicates the role of
its value played at the observation data. Hence, in a rigorous sense, it is not suitable
for judging possibility of matching. The range of a dimension must be used for this
purpose. It is a class gathering values of the dimension. A necessary condition for two
dimensions to match is that the intersection of the ranges of them is not null.
Therefore, if a code class, which is the range of a dimension, is specified in detail, it
becomes precise to discover a dimension for matching. For example, the range of the
time dimension in the QB example is “interval:Interval”. “interval:Interval” is much
abstract. It is because the example uses a special time interval of three years. But
more specific time intervals are defined by data.gov.uk, such as interval:Year,
interval:Quarter and interval:Month. Ordinary statistical datasets can employ such a
specific time interval in order to declare its range in a precise manner.</p>
        <p>Specifying an alternate code class. Even though dimensions to match are found,
instance matching is impossible unless the dimension values are ensured to be the
same. In case of linked data provided independently of each other, it may be rare that
the same code system is employed among them. When external codes are available, it
is important to declare their class as an alternate class. It will help us to discover
dimensions to match in a schema level.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion and Future Works</title>
      <p>We carried out a trial matching between statistical data from different sources. From
this trial, we found that it would become easy to check the matching possibility if the
appropriate upper-level resources were referred to and if the usage of external codes
were identified in the schema-level. Next, we surveyed existing statistical linked data
sites, examining their dimension descriptions. The result shows that it is impossible
for many sites to add the information about the upper-level resources and the external
linkages on their dimension descriptions. These dimension descriptions use external
resources directly, so that local information cannot be added to them.</p>
      <p>We proposed two patterns of dimension description to resolve this problem. The
first pattern is formulated based on the QB example. For a dimension that uses an
external dimension property directly, it is desirable to rewrite according to this
pattern. The second pattern is for a case where external codes are used directly for
dimension values. This pattern introduces an adapter code class, which enables an
external code class to coexist with local description.</p>
      <p>At present, only small numbers of upper-level resources are available, so that the
benefit of the patterns proposed here is limited. However, through this research, we
found that upper-level resources are useful in discovering/matching statistics. We also
found that, for an upper concept of a dimension property, it is important to identify
the roles of their code values, e.g. difference between place-of-birth and
place-ofresidence. For an upper concept of a code class, it is important to identify the type of
their code values, e.g. country, domestic-administrative-area, river-basin and so on.</p>
      <p>We also confirmed that upper-level resources including the above contents could
be defined by using the structure of the SDMX-RDF vocabulary. We conclude
tentatively that it is desirable to enrich upper-level resources under the SDMX-RDF
structure. In this direction, we started a research work in which we shall extract upper
concepts from major socio-economic statistics and organize them. The parts of the
patterns concerning upper concepts are preparatory for utilization of rich upper concepts
on statistical data.</p>
      <p>Acknowledgements. We wish to thank the anonymous reviewers for their valuable
and constructive comments that helped us to improve this paper.</p>
    </sec>
  </body>
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