Given the same death rate and the same negative factors in the external environment, the death rate increases and the number of individuals in the population approximates a negative value. N(+) – (β ± Δn) → n (1) where Δn — designates an insignificant deviation of the population from the optimum value. If, however, the number of members of the population is less than optimum, then given the same natural conditions, the birth rate will increase and the population approaches optimum. N(-) – (p ± Δn) → n (2) where: N(–) — is less than the optimum number of individuals in the population, p — is the number of individuals in the species less than optimum in the population. What, then, is the reason for such a reaction by individuals to fluctuations in their numbers? Let us put forward a number of assumptions and analyze them. Consider the equation: m(t) / m(n)n → 1 (3) where: m(t) — is the vegetative biomass growing on the habitat area in a unit of time, m(n) — is the vegetative biomass necessary to support an herbivorous animal (a rabbit) at an optimum existence, n — is the optimum density of a population for the maintenance of ecological equilibrium. Given simple reproduction, equation (3) equals one (1). Given extensive breeding, equation (3) is less than one (1). Extensive breeding occurs when the vegetative biomass produced by photosynthesis has not been completely consumed by the herbivorous animals. Equation (3) represents the system in balance. Fluctuations in the population density can be represented in the following form: m(t) / N(+) m(n) < 1 < m(t) / N(-) m(n) (4) What, then, happens within the population that brings equation (4) to (the status of) equations (5) and (6)? m(t) / [N(+)– (β ± Δn)] m(n) → 1 (5) m(t) / [N(-)– (p ± Δn)] m(n) → 1 (6)
Let us now try to provide a logical explanation for this phenomenon. Each individual in the species generates a psi-field; the psi-field generated by one individual is ω. Psi-fields generated by individuals in the population interact with one another and affect the processes occurring in their organisms. Let us assume that there is a certain optimum density of the aggregate psi-field of the population which ensures optimum conditions of existence for each individual. W = ∫ ∫k(N;s)ωdsdN (7) n s where: W — is the aggregate psi-field of the population . S — is the area of the population's habitat. ω — is the psi-field generated by one individual of the species. k(N, S) — is the factor representing the mutual effect of the influence of within a population. Let us introduce a new parameter: Pw = [ ∫ ∫k(N;S)ωdsdN] / ∫ds = W/S (8) n s s where: Pw — is the optimum density of the aggregate psi–field per unit of surface area given an optimum population. In the same way that we obtained equation (4) we can arrive at the following equations: [ ∫ ∫k(N;S)ωdsdN] / ∫ds < W/S (9) N(-) s s [ ∫ ∫k(N;S)ωdsdN] / ∫ds > W/S N(+) s s Writing the same equation in a somewhat changed form we obtain: ∫ ∫ k(N;S)ωdsdN < W N(-) s ∫ ∫ k(N;S)ωdsdN > W (9a) N(+) s From the equation (9a) we obtain two correlations defining the movement of the population towards reinstating ecological balance.
s a b ∫ ∫ ∫ M(ij)p(t) χab nab dsdadb = Mabp(t) (2) o o o where: Mabp(t) — is the biomass of herbivorous organisms synthe sized per unit of time upon a unit of surface. χab — is the BEF of the herbivorous animals showing that part of the consumed vegetable biomass transformed into the biomass of an herbivorous organism (a) of each species (b). nab — is the number of herbivorous animals (a) of a given species (b) supported by a unit of surface. Please, note: 0 < а < nао 0 < b < nоb where: nао — is the optimum number of herbivorous animals of each species (b) living on a unit of surface satisfying the requirements of ecological balance. nоb — is the optimal quantity of species of herbivorous animals living on a unit of surface meeting the requirements for ecological balance. Some of the herbivorous animals are devoured by carnivores. After disintegration and transformation the biomass of carnivorous animals is synthesized from herbivores. s c g ∫ ∫ ∫ Mabp(t) χcg ncg dsdcdg = Mcgp(t) (3) o o o where: Mcgp(t) — is the biomass of carnivorous animals synthesized per unit of time upon a unit of surface. χcg — is the BEF of animals showing which fraction of the consumed biomass of herbivorous animals becomes transformed into the biomass of carnivores (c) of each carnivorous species (g). χcg — is the number of carnivorous organisms (c) of a given species (g) dwelling upon a unit of surface. It should be noted that: 0 < с < nсо 0< g <nog
The Spirits of Spiritually Evolving Deceased and Extinct Organisms on the Planetary Spheres: Their location depends upon their level of evolutionary development. 1. Physical sphere. 1n; 1p; 1g; 1r; 1s; 1v; 1u — various living organisms inhabit the physical level. 2. Etheric sphere. 2n; 2p; 2g; 2g'; 2r; 2s; 2s' — spirits of spiritually evolving extinct and deceased animals, living on the planetary etheric plane. 3. Astral sphere with two levels — lower and higher astral. 3s; 3s'; 3u; 3v; 3v' — spirits of spiritually evolving extinct and deceased animals, living on the planetary astral plane. 4. First mental sphere with three intermediate levels. 4v — spirits of spiritually evolving, deceased organisms occupying the first mental plane of the planet. h; i; j; k — qualitative barriers. H. Symbiosis in Evolution. Symbiosis in the Development of the Butterfly. The consecutive entrance of two different spirits into one biomass, each providing developmental changes in the biomass. The entrance and functioning of the first spirit is dependent upon the developmental effects on the biomass of the spirit that precedes it. 1. Butterfly egg. 2; 2а; 2b — stages of caterpillar evolution. 2'. Spirit of the caterpillar. 3; 3а; 3b — stages of the chrysalis. 4. Butterfly. 4'. Spirit of the butterfly. А — moment of entry of the spirit of the caterpillar. В — moment of entry of the spirit of the butterfly. h — qualitative barrier. H. Intrauterine and Extrauterine Stages in the Evolution of the Spirit. Entry of the Human Spirit into the Human Fertilized Ovum during Conception.
The fusion of ovum and spermatozoon result in an eruption of energy that creates a channel opening qualitative barriers between planetary levels. The human spirit enters the ovum through this channel. 1n; 1p; 1g; 1r; 1s; 1v; 1u — variety of living organisms existing on the physical level. 2n; 2p; 2g; 2g'; 2r; 2s; 2s' — spirits of spiritually evolving extinct and dead animals, living on the etheric plane of the planet. 3s; 3s'; 3u; 3v; 3v' — spirits of spiritually evolving extinct and dead animals living on the astral plane of the planet. 4v — spirits of evolving former living organisms occupying the first mental plane of the planet. h; i; j; k — qualitative barriers. Binding of the Spirit to the Ovum. The qualitative barriers close after the spirit enters the body and binds to the developing zygote. The stage of development of a new physical body begins. 1n; 1p; 1g; 1r; 1s; 1v; 1u — variety of organisms living on the physical level. 2n; 2p; 2g; 2g'; 2r; 2s; 2s' — spirits of spiritually evolving extinct and deceased animals, living on the etheric plane of the planet. 3s; 3s'; 3u; 3v; 3v' — spirits of spiritually evolving extinct and deceased animals living on the astral plane of the planet. 4v — spirits of evolving deceased organisms occupying the first mental plane of the planet. h; i; j; k — qualitative barriers. Intrauterine Period of Human Development. J0 — level of evolutionary development of invertebrate animals. J1 — level of evolutionary development of fish. J2 — level of evolutionary development of amphibians. J3 — level of evolutionary development of reptiles. J4 — level of evolutionary development of mammals. J5 — level of evolutionary development of humans. t1 — Moment of entry of a fish spirit into the developing embryo. t2 — moment of exit of the fish spirit from the embryo and entry of an amphibian spirit. t3 — moment of exit of the amphibian spirit from the embryo and the entry of a reptile spirit.
J2' — level of evolutionary development of the spirit’s etheric body upon departure of the spirit at the moment of death. J3' — level of evolutionary development of the spirit’s astral body upon departure of the spirit at the moment of death. J4' — Level of evolutionary development of the spirit’s first mental body upon the departure of the spirit at the moment of death. Δτ1 — the time interval of the upper limit in years for the window of time in which the etheric body is able to develop. Δτ2 — the time interval of the upper limit in years for the window of time in which the astral body is able to develop. Δτ3— the time interval of the upper limit, when the first mental body is able to develop. J. Harmonious Conditions for the Development of the Human Spirit. Normal Balance of Flow of Primary Matters. The flow of primary matters through the spiritual bodies are in balance when development is normal. 1. Physical body. 2. Etheric body. 3. Astral body. 4. First mental body. h; i; j — qualitative barriers between the levels. Balance of Primary Matters in Etheric Body Blockage. The astral and first mental bodies do not develop when there is blockage or interference in the development of the etheric body. The flow of primary matters through the spiritual bodies is unbalanced. 1. Physical body. 2. Etheric body. 3. Astral body. 4. First mental body. h; i; j — qualitative barriers between the levels. Balance of Primary Matters in First Mental Body Blockage. In the case of interference or blockage in the first mental body intelligence does not develop. The flow of primary matters through the spiritual bodies is unbalanced. 1. Physical body.
3. Protective shield. 3*. Protective shield of the spirit. 4. Cord linking the physical body and the spirit. Stage of Awakening: Powerful impulses activate the brain and establish conditions for the spirit to re-enter the physical body. 1. Physical body. 2. Spirit. 3. Protective shield. 3* Protective shield of the spirit. 4. Cord linking the physical body and the spirit. Re-entry of the Spirit: The brain generates signals that open the protective shield of the physical body and permits the spirit to re-enter its physical body. 1. Physical body. 2. Spirit. 3. Protective Spirit and Body Unified: At the moment of awakening all brain processes return to their initial state in which the spirit and the body function as a unified system. 1. Physical body. 2. Spirit. M. The Stages of Death. The Initial Stage of Death: The supply of vital substances for the brain diminishes. 1. Physical body. 2. Spirit. The Spirit Begins to Leave the Body: The deficiency of vital substances makes the brain switch to a state of minimal activity similar to that found in sleep. At the same time the spirit begins to separate from the body. 1. Physical body. 2. Spirit. 3. Protective shield. Departure of the Spirit: The brain moves to a lower level of activity after all its reserves are depleted. Now the body’s protective shield starts disintegrating. The spirit continues to separate from the body. 1. Physical body.