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Schedule III Summary of Activity in Real Estate Facilities (Detail) - USD ($)
 12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
Real estate facilities      
Real estate facilities, Balance at beginning of year $ 1,887,205,645 $ 1,593,623,628 $ 1,210,102,582
Facility acquisitions 23,696,536 298,341,568 371,507,610
Impact of foreign exchange rate changes 4,342,673 (12,984,154) (138,457)
Improvements and additions 9,501,518 8,224,603 12,151,893
Other facility acquisitions   69,981,850 15,689,143
Disposition due to deconsolidation     (15,689,143)
Real estate facilities, Balance at end of year 1,924,746,372 1,887,205,645 1,593,623,628
Accumulated depreciation      
Accumulated depreciation, beginning balance (202,682,688) (155,926,875) (115,903,045)
Depreciation expense (52,619,881) (48,400,073) (40,158,233)
Disposition due to deconsolidation     62,466
Impact of foreign exchange rate changes and other (541,715) 1,644,260 71,937
Accumulated depreciation, ending balance (255,844,284) (202,682,688) (155,926,875)
Construction in process      
Construction in process, Balance at beginning of year 4,490,926 1,799,004 1,761,303
Net additions and assets placed into service 1,486,020 2,691,922 37,701
Construction in process, Balance at end of year 5,976,946 4,490,926 1,799,004
Real estate facilities, net $ 1,674,879,034 $ 1,689,013,883 $ 1,439,495,757