Page 331 - The Final Appeal to Mankind

«The Final Appeal to Mankind» by Nicolai Levashov

Thus, a simple and reliable mechanism of self–regulation of the members of a
population is at work for each species without which an ecological system

obviously could not exist.
Appendix 2. Derivation of the Formula for Ecological Systems

Let us now take a closer look at the natural factors that affect the formation and

complexity of an ecological system.

In the process of absorbing sunlight falling upon their habitat, vegetable organisms
create vegetative biomass through photosynthesis. It should be noted that the more
advanced vegetable organisms are capable of assimilating greater amounts of this
incidental sunlight resulting in the synthesis of a greater volume of vegetative biomass
per unit of time. In other words, every type of vegetable organism has a specific

Biological Efficiency Factor, BEF.

Thus, the volume of vegetative biomass depends on:

a) the amount of sunlight striking a square unit of area per unit of time.

b) the BEF of vegetable organisms.

c) the number of vegetable organisms of each type.

Translating all of the above into the language of mathematical symbols, we obtain the

following equation:

s i j
(t)
∫ ∫ ∫ Wsχ(ij)n(ij)dsdidj = M(ij)p (1)
o o o
where:

ij
M p(t) — is the amount of vegetative biomass synthesized per unit of time by all of
the vegetable organisms growing on a unit of surface.

Ws — is the amount of sunlight falling upon a unit of the planet’s surface per unit of
time.

χ(ij) — is the BEF denoting that portion of the Ws assimilated and transformed by each
plant (i) of a given species (j).

n(ij) — is the quantity of the vegetable organisms (i) of a given species (j) growing on
a unit of surface.

Please note:

0 < j ≤ nj0

0 < i ≤ n0i

where:

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