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Contracts and Agreements - Additional information (Detail) (USD $)
3 Months Ended 9 Months Ended
Sep. 30, 2012
Sep. 30, 2011
Sep. 30, 2012
Sep. 30, 2011
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Annual Fee for transfer agency services     $ 20,000  
Brokerage commissions 3,486 1,073 11,485 5,451
Rebalancing Cost     5,746 3,416
Creation And Redemption Activity Costs     5,739 2,035
Average Daily Total Net Asset Percentage     0.05% 0.02%
Maximum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Transaction fees per transaction     $ 15  
Commissions per round-turn trade, including applicable exchange and NFA fees for Natural Gas-Related Futures Contracts and options on Futures Contracts     $ 15  
Minimum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Annual Fee for custody, fund accounting and fund administration services     75,000  
Transaction fees per transaction     $ 7  
Commissions per round-turn trade, including applicable exchange and NFA fees for Natural Gas-Related Futures Contracts and options on Futures Contracts     $ 7  
First $500 million of US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Fee percentage     0.06%  
First $500 million of US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets | Maximum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage 500,000,000   500,000,000  
US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets greater than $500 million but less than $1 billion
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Fee percentage     0.0465%  
US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets greater than $500 million but less than $1 billion | Maximum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage 1,000,000,000   1,000,000,000  
US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets greater than $500 million but less than $1 billion | Minimum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage 500,000,000   500,000,000  
US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets exceed $1 billion
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Fee percentage     0.035%  
US12NG's, USOF's, USNG's, US12OF's, UGA's, USDHO's, USSO's, USBO's, USCI's, CPER's, USAG's and USMI's combined net assets exceed $1 billion | Minimum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage 1,000,000,000   1,000,000,000  
Marketing Agreement | US12NG's assets up to $3 billion
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Fee percentage     0.06%  
Marketing Agreement | US12NG's assets up to $3 billion | Maximum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage 3,000,000,000   3,000,000,000  
Marketing Agreement | US12NG's assets in excess of $3 billion
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Fee percentage     0.04%  
Marketing Agreement | US12NG's assets in excess of $3 billion | Minimum
       
Long-Duration Contracts, Assumptions by Product and Guarantee [Line Items]        
Base amount for determining fee percentage $ 3,000,000,000   $ 3,000,000,000