Energy Balance and Power in the Real World

Work in progress

 

 

Sections

 

 

 

  1. Executive Summary
  2. Introduction
  3. Methods
  4. Results
    • Math Notes
    • Energy Balance Calculator
    • Worked Examples
  5. Discussion
  6. Bibliography
  7. (Country Assignable) Divisions of the World

 

 

 


Energy Balance and Power in the Real World - Executive Summary

 

 

 

It is well accepted Physics that a mass at absolute temperature will emit energy proportional to the square of its surface area and the fouth power of the temperature. Under all but experimental conditions, these emissions are very small - too small to detect against a background of ambient temperatures. Nonetheless, statistics (Stefan-Boltzmann Distribution) can be computed for small groups.

 

This computation is an experimental observation in the scientific sense. Humans are a competitive bunch, and like to think that any system can be gamed by the assumption of sufficient risk. There may be some theoretical problems (c.f. The Darwin Awards).

 

An efficient allocation of resources, based on presumptive needs of group members, can be calculated easily, the "heavy lifting" (maths) transparent in functions.

 

Countries and political subdivisions, Court Systems, and many other virtual groups follow these power sharing statistics.

 


 

A First Approximation: The US CIA World Factbook

 

The CIA World Factbook contains estimates of surface area, by Country. The Table below indicates the initial partitions.

 

Entity

Sq km

id

Synonyms

Earth

 

 

 

5.10072000e+08

009

 

 

Water

 

 

3.61132000e+08

025

 

 

 

Arctic Ocean

 

1.40560000e+07

002

 

 

 

Atlantic Ocean

 

7.67620000e+07

005

 

 

 

Indian Ocean

 

6.85560000e+07

012

 

 

 

Pacific Ocean

 

1.55557000e+08

018

 

 

 

Southern Ocean

 

2.03270000e+07

021

 

 

 

High Seas NOC

 

2.58740000e+07

011

 

 

 

 

 

 

 

 

 

Land

 

 

1.48940000e+08

015

 

 

 

Antarctica

(Ice Covered)

 

1.22207140e+07

003

 

 

 

Governance

Bodies

 

1.36719286e+08

 

 

Land

(excl. Antarctica

Ice Covered)

Countries (R001-R676)

 

 

 

rdf:first

2.80000000e+05

019

AQ (R017)

 

 

 

rdf:rest

1.36439286e+08

020

Countries (R001-R676)

 

 

 

 

 

 

 

 

 

In the grand scheme, very rough approximations are sufficient. Since the area of a sphere is 4πR2, and π is an irrational number (without end), it should be obvious that no amount of precision will provide a correct answer. As a practical computational matter, any Country or group will always be a small part of the whole. Moreover, the model used is of emissive power, and obeys Lambert's Cosine Law - the power starts at a maximum (cos(0)=1). This has the effect of conveying a contribution identity to the parts, since only partial sums of those parts have an objective value (adding subjective weights is different issue).

 

 

The entry above for "Governance Bodies" is the habitable portion of the planet. Every rdf:List of territory must account for all territory. It need not contain references to all territory.

 

 

<?xml version="1.0" encoding="UTF-8"?>
<rdf:RDF 
 xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" 
 xmlns:dcam="http://purl.org/dc/dcam/"
 xmlns:dct="http://purl.org/dc/terms/"
 xmlns:xsd="http://www.w3.org/2001/XMLSchema#">
<rdf:Description rdf:about="http://www.rustprivacy.org/2011/phase/">
  <dct:Jurisdiction>
    <rdf:Description rdf:about="#Governance Bodies">
      <dcam:memberOf rdf:resource="http://www.rustprivacy.org/2011/phase/www-cbp-12.xml"/>
      <dct:title>WWW and CBP Territorial Domains</dct:title>
      <dct:issued>2011-01-13</dct:issued>
      <rdf:value rdf:datatype="xsd:float">1.36719286000000e+14</rdf:value>
      <dct:coverage rdf:parseType="Collection">
        <rdf:List>
          <rdf:li rdf:parseType="Literal">
          <!--<rdf:first> -->
             <dct:description>The first member of the List is always Antarctica</dct:description>
             <dct:coverage>
                <rdf:value rdf:datatype="xsd:float">2.80000000000000e+11</rdf:value>
             </dct:coverage>
          <!-- </rdf:first> -->
          </rdf:li>
          <rdf:li rdf:parseType="Literal">
              <dct:description>Other List Members</dct:description>
              <dct:coverage>
                <rdf:value rdf:datatype="xsd:float">0.0e+00</rdf:value>
              </dct:coverage>
          </rdf:li>
          <rdf:li rdf:parseType="Literal">
          <!-- <rdf:rest> -->
              <dct:description>The List is filled in the middle, with the rest as the balance.</dct:description>
              <dct:coverage>
                <rdf:value rdf:datatype="xsd:float">1.36439286000000e+14</rdf:value>
              </dct:coverage>
          <!-- </rdf:rest> -->
          </rdf:li>
          <rdf:li><rdf:nil /></rdf:li>
        </rdf:List>
      </dct:coverage>
    </rdf:Description>
  </dct:Jurisdiction>
</rdf:Description>
</rdf:RDF>
      

 

Note also that the "issued" field is a date, not a date-time. This is not a trivial point. The issue date should be the date of the last Midnight UTC. The Earth, unlike many celestial bodies has no "dark side", for example, the Moon. For computation, that sort of body is considered to have two dark sides and two visible sides which are complementary. Just as one might decant a bottle of wine, that is not the same as saying the bottle is being consumed from the bottom up. Many Time dependent resources have this property, but it is common elsewhere: it arises from a race condition where two outputs must be reconsilled which are not continuously available. In this case, a watch and a sundial both measure time. The sundial also counts days. If you were to say the watch is always more accurate, you would be incorrect. In fact every watch is a bit under four minutes fast - it measures Mean Solar Time. The sundial measures Sidereal (Star) Time and is always correct, except of course at night when the measurement is unavailable.

 

 

 


Math Notes (and Calculator)

Energy Balance Calculator (javascript)

 

 

World

Australia Consolidation

European Union

United States Consolidation

 

 




 

 

Country Table

Country Table Data Base (Open Office DB)