In MySql you usually use session variables to achive the functionality:
SELECT @rowid:=@rowid+1 as rowid
FROM table1, (SELECT @rowid:=0) as init
ORDER BY sorter_field
But you can not make sorts on the table you are trying to delete from in subqueries.
UPD: that is you will need to create a temp table, insert the ranging subquery to the temp table and delete from the original table by joining with the temporary table (you will need some unique row identifier):
CREATE TEMPORARY TABLE duplicates ...
INSERT INTO duplicates (rowid, field1, field2, some_row_uid)
SELECT
@rowid:=IF(@f1=field1 AND @f2=field2, @rowid+1, 0) as rowid,
@f1:=field1 as field1,
@f2:=field2 as field2,
some_row_uid
FROM testruns t, (SELECT @rowid:=NULL, @f1:=NULL, @f2:=NULL) as init
ORDER BY field1, field2 DESC;
DELETE FROM my_table USING my_table JOIN duplicates
ON my_table.some_row_uid = duplicates.some_row_uid AND duplicates.rowid > 0
Since that is one time operation, this should not bring too much overhead.