The objects 'SandboxInfo' and 'SandboxProcess,' are available in API v35 or higher, and allow you to create and refresh sandboxes.
SandboxInfo
Represents a sandbox. SandboxInfo enqueues a sandbox for creation or for being refreshed. To learn more please review the Force.com Tooling API SandboxInfo section.
SandboxProcess
Represents the copy process of a sandbox once it is enqueued. To learn more please review the Force.com Tooling API SandboxProcess section.
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