I have a table of ids, and previous ids (see image 1), I want to count the number of unique ids in total linked in one chain, e.g. if we take the latest id as the 'parent' then the result for the example data below would be something like Image 2, where 'a' is linked to 5 total ids (a, b, c, d & e) and 'w' is linked to 4 ids (w, x, y & z). In practicality, I am dealing with randomly generated ids, not sequenced letters.
Python Code to produce example dataframes:
import pandas as pd
raw_data = pd.DataFrame([['a','b'], ['b','c'], ['c', 'd'],['d','e'],['e','-'],
['w','x'], ['x', 'y'], ['y','z'], ['z','-']], columns=['id', 'previous_id'])
output = pd.DataFrame([['a',5],['w',4]], columns = ['parent_id','linked_ids'])