1. Data Modeling: PostgreSQL modeler is primarily used for designing databases through a graphical interface while migra focuses on version-controlling the SQL files representing the database schema.
2. Platform Compatibility: PostgreSQL Modeler is typically used in conjunction with PostgreSQL databases, whereas migra is a tool that can be used with various database management systems such as MySQL, SQLite, and PostgreSQL.
3. Version Control: PostgreSQL Modeler does not inherently provide version control capabilities for tracking changes made to the database schema, while migra is built specifically to handle schema versioning and migrations efficiently.
4. Syntax Handling: migra has a built-in feature to analyze and compare the SQL grammar changes between two schema versions, allowing for selective migrations, whereas PostgreSQL Modeler focuses on providing a visual representation of the schema without detailed SQL syntax comparison.
5. Automated Migrations: migra offers automated migration scripts generation based on the differences between two database schema versions, making it easier to implement changes in the database structure efficiently compared to PostgreSQL Modeler, which requires manual adjustments.
6. Community Support: PostgreSQL Modeler has a more comprehensive community base and a range of plugins and extensions for enhancing the modeling experience, while migra, although actively maintained, may have a more limited support network and resources.

In Summary, PostgreSQL Modeler is a graphical tool for designing databases, while migra is a robust tool for version controlling and managing database schema migrations efficiently.