Change or add address fields:

{
      "lastName1": "Customer",
      "firstName": "Anne",
      "salutationCode": "02",
      "zipcode": "NN4 7BF",
      "addressLine1": "1 Main Road",
      "regionCode": "NH",
      "regionText": "Northamptonshire",
      "city": "NORTHAMPTON",
      "countryCode": "GB"
   }

Delete address fields:

{
   "poBox": {"action": "DELETE"}
}

To change communication data you have to specify which value you want to change, because there can be many.

Update telephone number:

  { "bpCommunicationsList": [
       {
          "communicationType" : {
                   "value" : "T",
                   "action" : "UPDATE"
                 },
          "communicationValue" : {
                   "value" : "123",
                   "oldValue" : "456",      // the old value you want to update
                   "action" : "UPDATE"
                 }
      }
  ]
  }

Add new additional telephone number:

   "bpCommunicationsList": [
       {
          "communicationType" : "T",
          "communicationValue" : "123"
      }
  ]

Delete telephone number:

{
 "bpCommunicationsList": [
     {
          "communicationType" : {
                     "value" : "T",
                     "action" : "DELETE"
               },
          "communicationValue" : {
                     "value" : "123",    // the old value you want to delete
                     "action" : "DELETE"
               }
      }
  ]
}