Mix together the flaxseed and water until thickened. Combine flax mixture in a large bowl with sugar, applesauce, oil, and pumpkin. In a medium bowl, stir together the flour, spices, baking soda, baking powder, and salt. Stir the dry ingredients into the wet. Fold in the walnuts. Lightly grease loaf pans.
Divide into two regular 8 inch loaf pans or four mini loaf pans. If you’d like, sprinkle on some oats or turbinado to garnish. Bake the large loaves for about 55 minutes and the smaller loaves for about 40 minutes. Let sit for 20 minutes before removing from pans.