The second law of thermodynamics explain why an ecosystem's energy supply must be continually replenished because it states that in any energy transfer or transformation, some of the energy is lost to its surroundings as heat.
This is defined as the ability to do work and usually causes different types of changes in a biological system and examples include chemical energy, heat energy etc.
In energy transfer or transformation there is no 100 percent efficiency and some of the energy is lost to its surroundings as heat. If the energy supply is not replenished then it will led to a shortage of energy available for organisms in the ecosystem which will led to the death of all life forms.
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