Both are driven by the same internal processes inside the earth. The interior of the earth acts like a heat exchanger and this causes massive eddies that drive the tectonic plates. As these crustal plates grind against one another, earthquakes are caused.
Also the grinding generates more heat causing a magma buildup and this erupts to the surface as volcanoes. Where plates spread, one finds chains of volcanoes.
Where the two processes differ is insofar as separating plates tend to be thin and there is lots of volcanic activity with only shallow and small quakes. Where they grind past each other or one goes under the other, you get moderate to severe earthquakes. The volcanic activity also differs.At spreading zones, the lava flows readily and little ash is created.
In the subduction zones, the plates heat up part of the crust that causes ash type eruptions. In the build up to eruption, there is often what is called "harmonic tremors" or pre-eruption earthquake activity. After the volcano in this instance vents, the magma chamber empties, causing a collapse or post eruption earthquake.
Pliny the elder was the first to not the relationships. Thus these are the most dangerous volcanoes.
Both of these events have as their root cause, the dynamic and changing interior of the earth. Today, as the geomagnetic field reverses, this tells us that the interior is changing again. This has caused new and sudden earth changes to spring up in unexpected places.
Volcanoes and earthquakes are working in tandem in many instances.
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