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Partners' Equity - Additional Information (Detail)
 12 Months Ended
Dec. 31, 2014
Partners Capital And Distributions [Line Items]  
Percentage of net income allocated general partner 1.00%dtrpi_PercentageOfNetIncomeAttributableGeneralPartner
Percentage of net income allocated limited partners 99.00%dtrpi_PercentageOfNetIncomeAttributableLimitedPartners
Percentage of net loss allocated general partner 24.00%dtrpi_PercentageOfNetLossAttributableGeneralPartner
Percentage of net loss allocated limited partners 76.00%dtrpi_PercentageOfNetLossAttributableLimitedPartners
Additional losses allocated to general partner percentage 1.00%dtrpi_AdditionalLossesAllocatedToGeneralPartnerPercentage
Additional losses allocated to limited partners percentage 99.00%dtrpi_AdditionalLossesAllocatedToLimitedPartnersPercentage
General Partner [Member]  
Partners Capital And Distributions [Line Items]  
Percentage of gain on sale and refinancing allocated to general partner 1.00%dtrpi_PercentageOfGainOnSaleAndRefinancingAllocatedToGeneralPartner
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
Percentage of additional gain on sale and refinancing allocated to general partner 24.00%dtrpi_PercentageOfAdditionalGainOnSaleAndRefinancingAllocatedToGeneralPartner
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_GeneralPartnerMember
Limited Partners [Member]  
Partners Capital And Distributions [Line Items]  
Percentage of gain on sale and refinancing allocated to limited partners 99.00%dtrpi_PercentageOfGainOnSaleAndRefinancingAllocatedToLimitedPartners
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_LimitedPartnerMember
Percentage of additional gain on sale and refinancing allocated to limited partners 76.00%dtrpi_PercentageOfAdditionalGainOnSaleAndRefinancingAllocatedToLimitedPartners
/ us-gaap_PartnerTypeOfPartnersCapitalAccountAxis
= us-gaap_LimitedPartnerMember