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Change in Temperature Distributions
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Although the model represents the earth as a point, the more complex models lead to resolutions of 100 square km and breakdown of the atmosphere into multiple layers of height. In this way, temperature distributions are obtained on the surface and its temporal dependence.
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Radiation Variations
Description
Solar intensity can vary due to changes in the Earth\'s orbit, axial tilt, and/or the presence of solar spots. Therefore, in general, we can express this variation as follows:
$I_s\rightarrow I_s + \delta I_s$
This means that the incident solar intensity can experience fluctuations, represented by the term $\delta I_s$, which may be due to natural factors or solar events. These variations in solar intensity can have an impact on the Earth\'s energy balance and climate patterns.
It is important to note that these fluctuations in solar intensity are natural phenomena and can occur at different time scales. Monitoring and understanding these changes are essential to assess their impact on climate and improve our predictions and climate models.
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Temperature Variations
Description
Since temperatures are measured in Kelvin, a variation of a few degrees represents changes at a level of less than one percent. Therefore, we can work based on the variations of the temperatures as follows:
$T_e \rightarrow T_e + \delta T_e$
$T_b \rightarrow T_b + \delta T_b$
$T_t \rightarrow T_t + \delta T_t$
With these relationships, the expressions involving the fourth power of temperature can be linearized, as in a first approximation, we have:
$T^4 \rightarrow (T + \delta T)^4 = T^4 + 4T\delta T + \ldots$
This linearized approach allows us to make approximations and simplifications in calculations related to temperature variations. However, it is important to note that these approximations are valid within small ranges of temperature variation and may not be accurate in situations where the variations are significant.
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