Fees and Related Party Transactions (Details) (USD $)	3 Months Ended
Mar. 31, 2015	Mar. 31, 2014
Fees and Related Party Transactions [Abstract]
Percentage of incentive allocation (in hundredths)	20.00%	20.00%
Incentive Allocation allocated to the Fund by GAIT	$ 1,369,198us-gaap_IncentiveFeeExpense	$ 0us-gaap_IncentiveFeeExpense
Administrator's Fee [Abstract]
Administrator's fees	$ 29,008gaifb_AdministratorSFees	$ 23,057gaifb_AdministratorSFees
Class 0 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees at annual rate of net asset value of fund (in hundredths)	0.75%
Class 2 Units [Member]
Sponsor Fees [Abstract]
Sponsor fees at annual rate of net asset value of fund (in hundredths)	2.75%

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Fees paid for services provided by an independent administrator for certain matters pertaining to the administration of the Fund.

+ References

No definition available.

+ Details

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- Definition

Incentive fees which are compensation paid to a trading advisor or to any practitioner who achieves investment results above a specified contractual level.

+ References

No definition available.

+ Details

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- Details

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- Definition

Fees paid to advisors who provide certain management support and administrative oversight services including the organization and sale of stock, investment funds, limited partnerships and mutual funds.

+ References

No definition available.

+ Details

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- Definition

Amount of expense for incentive rights held by the managing member or general partner, of limited liability company (LLC) or limited partnership (LP).

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 850

-SubTopic 10

-Section 50

-Paragraph 1

-URI http://asc.fasb.org/extlink&oid=6457730&loc=d3e39549-107864

+ Details

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- Details

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- Details

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- Details

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