Fluctuations of magnetic inclination and declination in Mexico during the last three millennia

Revealing the evolution of the past geomagnetic field is of dual interest. It is crucial to estimate the conditions of the Earth's deep interiors, while it offers a reliable absolute dating tool of burned archaeological artifacts. Although a substantial effort was paid during the last decade to construct a reference archaeomagnetic curve for Mesoamerica, mostly absolute intensity variations are revealed for the previous three millennia. Here, we report an updated directional (inclination and declination) reference secular variation curve based on volcanic lava flows and archaeological artifacts carrying full thermoremanent magnetization. A bootstrap method with penalized cubic b-splines was used to develop the directional curve. Relocation error exercise and strict selection criteria allowed to use 82 well-defined palaeodirections. Both data distribution density and the firm relationship between the ages and samples, ensure the reliability of the curve for the dating purposes. The combination of directional data with available intensity variation highlights some sudden geomagnetic field fluctuations.