A method for providing recommendations for actions by airline companies for the flight staff in the case of a warning of radiation-dose-relevant spaceweather events at cruising altitudes, said method comprising the following steps: - detecting radiation data of the atmospheric radiation, particularly of the ionized radiation in the atmosphere, - providing a radiation model for 3D-spatially resolved estimation of a radiation field at cruising altitudes of the earth's atmosphere by use of a radiation dose rate scale based on a continuous range of values, - estimation of the 3D-spatially resolved rates of the effective radiation dose on the basis of the detected radiation data and the radiation model, - dividing said radiation dose rate scale based on a continuous range of values into a discrete, i.e. graduated radiation dose rate scale comprising individual successive ranges of values of increasing radiation dose rates, and assigning respectively one index to each range of values, wherein a first range of values is between a radiation dose rate of zero and a presettable first upper limit, a second range of values is between the first upper limit and a second upper limit which is equal to a presettable multiple of the first upper limit, and each further range of values is between the upper limit of the next smaller range of values and an upper limit which is equal to the presettable multiple of the upper limit of the next smaller range of values, and - as a warning, there is indicated the index of that range of values within which is situated the estimated radiation dose rate for a presettable range in the earth's atmosphere, - providing a recommendation for actions for the flight staff in dependence on the index and in consideration of operational operating parameters for the purpose of radiation protection and radiation dose reduction. - detecting radiation data of the atmospheric radiation, particularly of the ionized radiation in the atmosphere, - providing a radiation model for 3D-spatially resolved estimation of a radiation field at cruising altitudes of the earth's atmosphere by use of a radiation dose rate scale based on a continuous range of values, - estimation of the 3D-spatially resolved rates of the effective radiation dose on the basis of the detected radiation data and the radiation model, - dividing said radiation dose rate scale based on a continuous range of values into a discrete, i.e. graduated radiation dose rate scale comprising individual successive ranges of values of increasing radiation dose rates, and assigning respectively one index to each range of values, wherein a first range of values is between a radiation dose rate of zero and a presettable first upper limit, a second range of values is between the first upper limit and a second upper limit which is equal to a presettable multiple of the first upper limit, and each further range of values is between the upper limit of the next smaller range of values and an upper limit which is equal to the presettable multiple of the upper limit of the next smaller range of values, and - as a warning, there is indicated the index of that range of values within which is situated the estimated radiation dose rate for a presettable range in the earth's atmosphere, - providing a recommendation for actions for the flight staff in dependence on the index and in consideration of operational operating parameters for the purpose of radiation protection and radiation dose reduction.