Page 110 - The Final Appeal to Mankind
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«The Final Appeal to Mankind» by Nicolai Levashov

            portion of that vegetable biomass, and in turn, synthesize from it, after appropriate
            metabolic activity, the following amount of biomass:

                                                               s a b

                                              ij
                                                    ∫ ∫ ∫m p(t)Ψ(ab)n(ab)dsdadb=m ab p(t)        (5)
                                                              0 0 0
            where:

            m  ab p (t) — equals the biomass of herbivorous animals, synthesized per unit of time per
            unit of area.

            Carnivores,  in  turn,  consume  herbivorous  animals.  The  biomass  that  carnivorous

            animals synthesize from the quantity of herbivores eaten, after appropriate metabolic
            processes, yields the following:



                                                             s  c q
                                                                             cq
                                                   ∫ ∫ ∫m ab p(t)Ψ(cq)n(ab)dsdcdq=m p(t)           (6)
                                                  0 0 0
            where:


               cq
            m p (t) — equals the biomass of carnivorous living organisms, synthesized per unit of
            time per unit of area. We should note that all species, which consume both living and
            dead herbivorous organisms, are classified as carnivores. We may now construct a
            mathematical model of an ecological system, using the above-mentioned equations (4),
            (5) and (6), as follows:


                                                               cq
                                          ij
                                                   m p(t) + m ab p(t) + m p(t) = constΨ                 (7)
            Biological research has shown that ten percent of the biomass from plants becomes
            biomass  for  herbivores  and  ten  percent  of  the  biomass  from  herbivores  becomes
            biomass for carnivorous animals.

            We may render this equation in a slightly different but more obvious form by extracting
            the common factor from the brackets and substituting the value for each item:


                                                      s i  j
                                             ∫ ∫ ∫W(s)Ψ(ij)n(ij)dsdidj[1+…+…]=constΨ                  (8)
                                                                                                 13
                                             0 0 0

            From equation (8) we note that the entire spectrum of nature’s living forms, as well as
            their qualitative and quantitative composition is determined by:

            a) the amount of solar radiation striking a unit of the planet’s surface per unit of time;



                  13  The complete derivation of the formula for ecological systems may be found in Appendix 2.


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