Anshavatar and Purnavatar - are there different types of avatars?
I don't know whether there are concepts of Kalas or something like that in Avatars. The only place in Padma Purana which I have found compares Avatars as:
Padma Purana Uttarkhanda Chapter 229 40-42. Thus the state of the inner-controllership of self consists in his being the innermost soul. Matsya, Kurma,Varaha, Nrisimha, Vamana, Rama, Parasurama, Krishna, Buddha and Kalki are the ten incarnations of Brahman, the highest soul. The group of six qualities is said to exist in Nrisimha, Rama and Krishna.
The six qualities mentioned above are:
aiśvaryasya samagrasya dharmasya yaśasariśrayaḥ jñānavairāgyayoścaiva ṣaṇṇāṃ bhaga itīraṇā [VishnuPurana - 6.5.74]
Complete splendor, virtue, glory, opulence, knowledge, dispassion - these six are known as bhaga.
The above six qualities are the one which makes 'Bhagwan' ie. Having 'Bhag' qualities.
So as Per that statement of PadmaPurana the incarnation which had all six qualities were:
Nrisimha, Rama, and Krishna
So, Nrisimha, Rama and Krishna can be considered full incarnation if we compare. So, I think making Lord Rama 14 kalas and Lord Krishna 16 Kalas has no basis in scripture.
Note: “The question: Anshavatar and Purnavatar - are there different types of avatars?” is licensed by Stack Exchange Inc (https://hinduism.stackexchange.com/); user contributions licensed under CC BY-SA.