When is the intensity of the light close to directly, or linearly, related to the temperature of the object?

In the desert

At room temperature

If the object is an incandescent bulb

The intensity of the light is close to directly related to the temperature of the object when the object is an incandescent bulb. This is because the brightness of an incandescent bulb is directly related to the temperature of the filament inside the bulb. As the filament heats up, it emits more light, and as it cools down, it emits less light. This relationship is linear and can be described by Stefan-Boltzmann's law.