EQ for character matrices

This document is under construction... --Jpb15 12:13, 21 May 2007 (EDT)

Encoding evolutionary character matrices using the EQ format (PATO formalism) currently presents some problems that may need to be resolved. I will try to describe the issues here.

EQ statements vs. character matrices

The EQ format provides a "phenotype statement" documenting the phenotype of an individual organism (usually a genetic mutant). The anatomical structure being described is represented by the Entity term chosen from an anatomical ontology, and the aspect of that structure being described is the Quality term, chosen from the PATO ontology. These phenotype statements usually describe the value the mutant exhibits:

E="dorsal fin" Q="round" --> This fish has a rounded dorsal fin.

Evolutionary phenotype descriptions are often formatted as a character matrix. For a given set of species, a list of distinguishing characters is formulated, and species-specific value for each character is entered into the matrix. In this situation, each character (column in the matrix) represents an entity and attribute, and the character state cells contain values. Here is a graphical depiction of the relationship between evolutionary characters and the components of the EQ system:

The character (a column header in the matrix) is composed of an Entity and a Quality representing an attribute (e.g. "shape"). Values for this character are entered into the cells (e.g. "round). So you can see that the Q of EQ is represented in both the character and the character state. When EQ is used to describe mutant phenotypes, typically only the value is stated, since one can traverse back through the PATO hierarchy to find ancestor terms representing attributes - "round" is a child of "shape".

Clearly, evolutionary characters and character states can be represented using an EQ system as mutant phenotypes are. However there is a major difference in the two data models: the data formats being developed for mutant phenotype EQ statements store only a list of phenotype value statements, with no place to reference an independent character. So you may have a data set like this:

Genotype	Entity	Quality
fish1	dorsal fin	round
fish2	dorsal fin	lobate
fish2	dorsal fin	red
fish1	pectoral fin	blue

If these fish are different species, you can see that there are 2 values for the character "dorsal fin shape", 1 value for "dorsal fin color", and 1 value for "pectoral fin color". But nowhere in the existing EQ data formats is the character stored. We had to infer it from the PATO hierarchy to generate a matrix like this:

Species	dorsal fin shape	dorsal fin color	pectoral fin color
fish1	round	?	blue
fish2	lobate	red	?

So the problem is that the existing EQ system (and formats such as PhenoSyntax and PhenoXML) only stores a list of character states, and cannot group those states into characters. Possible solutions to this problem for evolutionary data are: 1) Only storing character values and automatically generating characters when a matrix is desired, or 2) Finding a way to code and store EQ statements for both characters and character states.

1. Automatically inferring attributes from values in PATO

PATO does not distinguish qualities representing values from those representing attributes, except that values descend from attributes in the hierarchy. But given an arbitrary value, it is not possible to automatically infer the attribute it is a value for. Many values are children of other values - for example, "bright blue" and "dark blue" are children of "blue". You need to traverse up two levels to reach the attribute "color". Also, some terminal terms in PATO are not values - they are attributes for which no values are defined in PATO. Examples are "acceleration" and "buoyancy".

In order to automatically generate a character matrix from EQ data in Phenote, Attribute and Value slims were added to PATO. These slims are categories which are applied to each term in PATO, so that software can determine the use of each term. In the PATO NEXUS-format exporter, the list of phenotype statements is grouped into characters based on whether they share a nearest common Attribute ancestor. Problems:

• In order for this to work, the Attribute and Value slims must continue to be maintained by curators as terms are added to PATO. However no one else seems to be using these slims at this time.
• A researcher may be interested in coding a character such as "fin morphology", with various species having values "lobate", "stubby", and "elongated". However, without a way to store the desired character attribute, the current Phenote NEXUS exporter would see these phenotypes as states for the separate characters "fin shape", "fin size", and "fin length", respectively. Conversely, if the researcher was generating a matrix from a database of EQ statements by choosing an entity-attribute pair such as "fin morphology", what should happen if a given species has values for both "fin lobate" and "fin elongated" - i.e. would this be a different character state from another species which was only coded for "fin lobate"?

2. Storing EQ statements for both characters and character states

It would be possible to store EQ statements for both characters (Entity+Attribute) and character states (maybe just Value), either by defining a custom data format or by extending PhenoXML and PhenoSyntax. Probably, given a character such as "dorsal fin color", valid values would only be PATO descendants of "color", such as "red" or "bright blue". However this approach may have some problems as well:

• It would require development of a data format and prevent the use of the current NCBO standards.
• Such extensions to the PhenoXML standard may not be desired by the current developers and users.
• If an ancestor-descendant relationship between attributes and values is desired, this coding would not be robust to future rearrangements of PATO (where a value may not descend from a particular attribute in the future, and so becomes an invalid statement).