Originally Posted by
jdrtravel
The baggage allowance will, I think, be determined by the check in carrier's allowance for the location that the bag is being checked to. So, for the first flight, it should be KLM's international TATL policy. The other trips that are happening on other days are not technically relevant, but you could make your case at the airport I think.
This is incorrect.
US law is clear and has been since 2011.
The base baggage allowance for the marketing carrier of the first segment applies to the entire ticket. This does not apply to waivers for status, credit cards and the like and a carrier is free to exceed the allowance.
Without knowing the marketing carrier of the MAD-AMS segment, it is impossible to tell for sure, but it appears to be one bag. That allowance is guaranteed for the remaining segments. Anything above that is at the discretion of the operating carrier and that is why there are some segments with a second bag included and some not.