Preheat the oven to 400 F/200 C
Cut up all vegetables. Arrange on a foil-lined baking sheet. Make sure they are only one layer thick to avoid stewing (You may need to use a second sheet).
Sprinkle with ginger, cinnamon, cumin, fennel pollen, salt, pepper and brown sugar, and fresh tarragon saving a few sprigs for garnish. Drizzle with olive oil and toss to coat.
Roast on the middle rack until golden brown and caramelized (45 minutes to 1 hour).
Drizzle with a good extra virgin olive oil and top with fresh tarragon.
Serve hot or at room temperature.
SERVES 4-6