With multiple earthing, some fraction of the neutral current in a circuit can divert out of the neutral conductor and return to the substation through water pipes, gas pipes, sewers, or the ground itself. The currents are no longer balanced, and the circuit has a "net current". It produces net currents not only in the distribution circuits but also in any conducting utilities, all of which contribute to the background magnetic field in homes. The magnetic field from net currents, varying as the inverse first power of distance, forms the background field in the majority of homes.
Distribution wiring in specific countries
UK
In the UK, a system called "protective multiple earthing" has been progressively introduced and produces net currents. See here for a full explanation of UK distribution practices. See also accidental earthing of the neutral inside homes in the UK and what we know about the sizes of net currents in the UK.
USA
In the USA, both primary and secondary distribution circuits are multiply grounded. See here for a full explanation of USA distribution practices.