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Table 5 Pros and cons for the application of the NBN EN ISO 19108:2005 (NBN 2005 ) model
for temporal ordinal reference systems, the variants of Cox and Richard ( 2005 ) and Michalak
( 2005 ) to the archaeological time scale
Cos and Richard ( 2005 )
Michalak ( 2005 )
Adaptation
ISO (2002)
Geometric
Topological
Topol + aeom
# Classes
2
3
3
5
# Compositions
2
2
1
1
4
# Associations
2
2
# Inheritance
1
2
4
# Interfaces
1
1
1
2
+
+ Simple
+ Division between era
and boundary
+ Order explicitly
defined by
associations
+ Completely
topological
+ Extendable
by geometry
+ Division between era and
boundary
+ Order explicitly defined by
associations
+ No explicit temporal position
required
DateTime
requires
precisely
known date
More complex
No geometric
information
Multiple
inheritance
Use of 'Position',
implicitly only fixed
dates possible
Multiple
associations
More complex
(Michalak 2005 ). The model proposed by Michalak ( 2005) is shown in Fig. 12 .
The boundaries of an ordinal era are in this variant as well explicitly realized by
adding the class GL_OrdinalTopolNode (Fig. 12 ). Both GL_OrdinalTopolEra and
GL_OrdinalTopolNode are subclasses of TM_TopologicalPrimitive and inherit
from this class the interface TM_Order, which allows returning relative temporal
positions. The optional attribute 'alias' enables the use of different names for the
same era or boundary, comparable to linking to a thesaurus.
The application of Michalak's ( 2005 ) model on the archaeological time scale
is depicted in Figs. 13 and 14 . According to an example given by Michalak for
the geologic time scale, part of the archaeological time scale is first schematically
drawn in Fig. 13 , which shows the temporal edges and (shared) nodes. This Fig.
13 graphically depicts the structure of the model described in Fig. 14 . In Fig. 14 ,
five temporal ordinal eras and their initiation and termination associations to five
ordinal topological nodes are given. Geometric realizations are not included in this
example. This model allows defining a temporal ordinal reference system when
the positions of the temporal boundaries are not known (exactly). At the other
hand, specifying the temporal position of (one of the) boundaries remains possi-
ble by the geometric realization association from the topological to the geometric
primitives.
The three applied temporal ordinal schema variants all have pros and cons,
which are summarized in Table 5 . The first part of this table shows the complexity
 
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