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If an economy with multiple consumption goods (including environmental amenities) uniquely maximises present value with constant discounting, it is unsustainable at some time if either of two measures-augmented net investment, or the change in augmented green net national product-are zero or negative then. ''Augmented'' denotes that time is treated as a productive stock, which includes in each measure the value of future, exogenous changes in technology or terms of trade. Adjustments are found to make each measure a test for individual sustainability when population grows exogenously. The practical and philosophical rationale for testing sustainability in a present-value-maximising, and therefore fully prescribed, development path is discussed. r

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