On a windows phone, a SPB Bachup software, allowed you to back up your calendar and contacts onto your cell phone. If you made 100 changes, you could back up to your cell. If there was a problem, you restored from your i5 to your i5, exc cloud and itunes,

If you find both of Apple's backup methods unsatisfactory, use http://apple.com/feedback/.

Not clear what you're asking, are you asking for third party backup recommendations?

You have no direct access to partition your iPhone.

The Windows function is a variation of the restore point mechanism which creates a sparse bundle on your drive.

It's also a constituent element as to why that OS take up so much space.

And as anyone would tell you backing up to the same drive/location leaves your data in danger if the storage devise fails or gets corrupted .

It's always preferable and safer to back up to another drive/location.

Apple provide you with the option to backup to your computer and/or iCloud (subject to a cap of 5GB free) as a much safer method.

You sync your iPhone contacts with the contacts application on your computer.

Backup your Contacts on your computer however you want.

iCloud would be the easiest option to save your contacts and calendars. Also in terms of an option to save a back up or restore point of your phone or contacts and calendars itself to your phone i havnt heard of an app that can do this as the feature best suited for this would be icloud/itunes.

ICloud will use mobile communication GPRS/3G or LTE to push notification and sync Calendar/AddressBook over air automatically.

You can also set poling frequency un settings/mail, contacts , calendars,

It does use data allowance but a typical calendar or address modification is only a few tens of KB.

Wifi is NOT required.

If you are out of range of a mobile mast the phone will pole and make the mods as soon as in range.

Email well if you have an imap service it syncs with the server anyway.

MS Exchange is synced via ActiveSync over air (Apple have licensed this from MS)

What i think you are confusing is back up and sync services.

Again refer to above Apple does not support partitioning or creating a sparse bundling/Zip file on an factory set IPhone .

You and other App developers do not have access to the file directory on stock iOS devices so how/where would you find the file anyway ?

Apple have included sync services and Activesync conduits such that the main calendar and address book files remain on your home computer/company server.

This also adds to security as the iOS device can be remotely wiped if misplaced using the find my iPhone app or via iPhone configuration tool in OSx Server or by removing the Exchange PST info within Windows.

Sis there some reason you want to store a backup of contacts/calendars on your iPhone?

Why not simply sync with your iPhone and use the contacts/calendars instead of only backing them up?

As Keith has already explained, it's not possible to do what you're asking.

iPhone is designed differently than Windows phone. If you want that feature I suggest you buy a Windows phone since you cannot do that on iPhone.

(edit - reread initial post)

You want to backup your iPhone contacts to your iPhone?

Can't think of any reason this would be needed or even wanted.
If you sync contacts via iCloud (whcih syncs via wifi/cell, not wifi only) then iCloud is current if your iPhone crashes.

The argument against backing up to your iPhone to your iPhone is that if the iPhone crashes and you need to resrtore it, the backup is gone.

I can grasp it but it's silly.