| 1. Subshrub or shrub; stems persisting 2+ seasons |
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| 2. Spines of fruit heads straight, flat or round in X-section |
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| 3. Cauline leaves ± compound; fruit heads (sub)glabrous |
| A. dumosa |
| 3' Cauline leaves few-toothed to shallowly lobes; fruit heads long-soft-silky |
| A. eriocentra |
| 2' Spines of fruit heads hooked, round in X-section |
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| 4. Cauline leaves sessile, clasping |
| A. ilicifolia |
| 4' Cauline leaves petioled |
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| 5. Leaf blades long-triangular, 15+ cm; fruit heads long, body ± glabrous or gland-dotted |
| A. ambrosioides |
| 5' Leaf blades round, < 10 cm; fruit heads round, body white-woolly |
| A. chenopodiifolia |
| 1' Annual or perennial herb |
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| 6. Annual from slender taproot |
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| 7. Cauline leaves mostly opposite, palmately lobed |
| A. trifida |
| 7' Cauline leaves mostly alternate, pinnately lobed and divided |
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| 8. Spines of fruit heads many, scattered, sharply pointed; distal staminate phyllary tips ± black-lined |
| A. acanthicarpa |
| 8' Spines of fruit heads few, below beak, blunt; staminate phyllary tips uniformly green |
| A. artemisiifolia |
| 6' Perennial from rhizome-like roots or caudex |
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| 9. Fruit head spines many, scattered, or in several rows |
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| 10. Fruit heads 510 mm; spines straight |
| A. chamissonis |
| 10' Fruit heads 25 mm; spines hooked |
| A. confertiflora |
| 9' Fruit heads spines 0few, vestigial, mostly on upper half |
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| 11. Leaves simple or sparsely 1-pinnate, lobes toothed; plants generally 420 dm |
| A. psilostachya |
| 11' Leaves 34-pinnately divided into many tiny segments; plants generally 13.5 dm |
| A. pumila
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