What the person has done by leaving their property on your land is create an "involuntary bailment" with you being the bailee. An involuntary bailment is when one party, the bailor, leaves personal property in the possession of the bailee without permission or consent. The bailor can return and take possession of the property at any time before the bailee terminates the bailment and the property is considered abandoned. A bailee can terminate an involuntary bailment by giving notice to the bailor that they need to come get the property or it will be considered abandoned and disposed of.
In order to legally terminate the bailment, you have to give written notice to the bailor at their last known address. I would send it certified mail as well as first class mail in case they have a forwarding address with the post office. State that you are terminating the bailment and the bailor has 7 days to remove the property or you will consider it abandoned and dispose of it. On day 8 if it is still there, you can dispose of it as abandoned.
But no, without an explicit agreement to pay for some type of storage costs, you can't unilaterally impose a storage contract on the owner of the dozer.
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