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Schedule III - Real Estate and Accumulated Depreciation (Detail) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances $ 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances      
Initial cost to company, Land & land improvements 1,852,482us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand      
Initial cost to company, Building & Improvements 1,013,134us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements      
Cost capitalized subsequent to acquisition, Carrying costs 77,203us-gaap_RealEstateAndAccumulatedDepreciationCostsCapitalizedSubsequentToAcquisitionCarryingCosts      
Gross amount at which carried at close of period Land, buildings & improvements, Total 2,942,819us-gaap_RealEstateGrossAtCarryingValue 2,942,819us-gaap_RealEstateGrossAtCarryingValue 2,942,819us-gaap_RealEstateGrossAtCarryingValue 2,942,819us-gaap_RealEstateGrossAtCarryingValue
Accumulated depreciation 1,143,645us-gaap_RealEstateAccumulatedDepreciation 1,114,697us-gaap_RealEstateAccumulatedDepreciation 1,085,749us-gaap_RealEstateAccumulatedDepreciation 1,056,801us-gaap_RealEstateAccumulatedDepreciation
Rialto, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RialtoMember
     
Initial cost to company, Land & land improvements 274,837us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RialtoMember
     
Initial cost to company, Building & Improvements 150,310us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RialtoMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 425,147us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RialtoMember
     
Accumulated depreciation 169,675us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RialtoMember
     
Date of construction 1984      
Date acquired 1984      
Moreno Valley, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_MorenoValleyMember
     
Initial cost to company, Land & land improvements 353,557us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_MorenoValleyMember
     
Initial cost to company, Building & Improvements 193,362us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_MorenoValleyMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 546,919us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_MorenoValleyMember
     
Accumulated depreciation 218,271us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_MorenoValleyMember
     
Date of construction 1985      
Date acquired 1985      
La Verne, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_LaVerneMember
     
Initial cost to company, Land & land improvements 452,423us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_LaVerneMember
     
Initial cost to company, Building & Improvements 247,433us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_LaVerneMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 699,856us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_LaVerneMember
     
Accumulated depreciation 279,306us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_LaVerneMember
     
Date of construction 1985      
Date acquired 1985      
Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Initial cost to company, Land & land improvements 293,817us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Initial cost to company, Building & Improvements 160,690us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Cost capitalized subsequent to acquisition, Carrying costs 77,203us-gaap_RealEstateAndAccumulatedDepreciationCostsCapitalizedSubsequentToAcquisitionCarryingCosts
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 531,710us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Accumulated depreciation 181,383us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaMember
     
Date of construction 1985      
Date acquired 1985      
Sacramento, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_SacramentoMember
     
Initial cost to company, Land & land improvements 260,516us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_SacramentoMember
     
Initial cost to company, Building & Improvements 142,478us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_SacramentoMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 402,994us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_SacramentoMember
     
Accumulated depreciation 160,834us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_SacramentoMember
     
Date of construction 1985      
Date acquired 1985      
Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Encumbrances 0us-gaap_RealEstateAndAccumulatedDepreciationAmountOfEncumbrances
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaOneMember
     
Initial cost to company, Land & land improvements 217,332us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfLand
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaOneMember
     
Initial cost to company, Building & Improvements 118,861us-gaap_RealEstateAndAccumulatedDepreciationInitialCostOfBuildingsAndImprovements
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaOneMember
     
Gross amount at which carried at close of period Land, buildings & improvements, Total 336,193us-gaap_RealEstateGrossAtCarryingValue
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaOneMember
     
Accumulated depreciation $ 134,176us-gaap_RealEstateAccumulatedDepreciation
/ us-gaap_RealEstateAndAccumulatedDepreciationDescriptionOfPropertyAxis
= dtrpi_RanchoCucamongaOneMember
     
Date of construction 1985      
Date acquired 1985      
Land & land improvements [Member] | Rialto, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Land & land improvements [Member] | Moreno Valley, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Land & land improvements [Member] | La Verne, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Land & land improvements [Member] | Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Land & land improvements [Member] | Sacramento, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Land & land improvements [Member] | Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 20 years      
Buildings and improvements [Member] | Rialto, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years      
Buildings and improvements [Member] | Moreno Valley, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years      
Buildings and improvements [Member] | La Verne, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years      
Buildings and improvements [Member] | Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years      
Buildings and improvements [Member] | Sacramento, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years      
Buildings and improvements [Member] | Rancho Cucamonga, CA [Member]        
SEC Schedule III, Real Estate and Accumulated Depreciation [Line Items]        
Life on which depreciation in latest income statement is computed 35 years