I want to simulate a random field Z(u) that has a nested variogram, say gamma(h)=gamma1(h) + gamma2(h) + gamma3(h), assuming the variogram is isotropic. Whether can I simuate independently three random fields: Z1(u) with correlation structure gamma1(h), Z2(u) with correlation structure gamma2(h), Z3(u) with correlation structure gamma3(h), and then sum them up Z(u) = Z1(u) + Z2(u) + Z3(u)?
You have not stated which simulation algorithm you propose to use, note that some algorithms are based on a covariance function and not on a variogram.
More relevant to your question is why you want to treat simulation with a nested variogram differently than simulation with a single component variogram. Perhaps the software you propose to use is limited in its capability. Most simulation algorithms (as distinct from software) would not make the distinction you are making
Thank you, Donald Myers. I intend to use unconditional sequential (Gaussian) simulation based on simple kriging. From my understanding, we do not have to assume the RF is Gaussian. Note that I assume second-order stationarity for my question.
I want to simulate a random field with more complex spatial correlation structure. But the code available for me (Matlab) only provides simulation based on variogram with definition of one structure. Therefore, if the practice is equivalent in my question, then I can do the simulation by independently simulating three random fields and sum them up.
- Badges
- Science topic
- Similar topics
- Psychology
- Mental Processes
- Learning