the model we are analyzing, this corresponds to the following formal 

 identity: 



m(x„, y„) H y{p(x^, yj, 0}. 



Let us perform the following mental experiment, utilizing the 

 operational characteristic. Suppose a long-term adaptation, reflected 

 by vector Ay, places the community in the normal state, which 

 corresponds, with assigned structure x, to the value of the operational 

 characteristic m(l, 1). This is its ideal value. Actually, there are 

 always certain weak perturbing environmental effects y * 0, but in the 

 normal state y « x we can ignore them, since in this case 

 m(l - y, 1 - y) - m(l, 1) . Suppose the environment suddenly applies a 

 strong harmful y > R to the community. In the worst version of this 

 case, the corresponding value of the operational characteristic will be 

 m(z, 1), where z=l-y<l-x. Immediately after this, we will 

 consider the community to be in a depressed state. Then, after a 

 certain, rather long, time interval has passed, due to adaptation, 

 reflected by the vector x = x^, the first adapted rise of the community 

 occurs (increase in mean population of individuals). This corresponds 

 to the value of the operational characteristic m(Z, Z). Suppose now 

 that the harmful factor of intensity y = I - z is relieved. Immediately 

 after this, a passive rise of the biocenosis occurs (increase in mean 

 population of its individuals). This corresponds to the value of the 

 operative characteristic m(l, 2). However, this does not exhaust the 

 capabilities of the community, since over a sufficient period of time, 

 readapting along vector x from the value x^ to the value Xq, it once 

 more returns to its previous state, definea by m(l, 1), performing a 

 second adaptive rise. This sequence of effects and adaptations will be 

 called the adaptation cycle. In accordance with ecologic concepts, the 

 corresponding values of the operative characteristic (2.20) satisfy the 

 equations: 



m(l, 1) > m(l, 2) > m(2, 2) > m(2, 1). (2.30) 



Their relative difference will be called the first and second 



adaptive and passive rises and represented by a^j^, a^2 ^nd a^, 



respectively. Their ratios to the maximum value m(l, 1) are represented 

 by p2 "* 1^3 •* ^^4' i^espectively. 



The sum of first values is 1, and the values are expressed through 

 the parameters y and 6 as follows: 



= v^ 



m(l, l)-m(.-, 1) (2,31) 



^ ^ m(l, z) — m{z, z) 

 m(l. l) — m{l, 1) 



A„j = 1 — A„j — An. 



352 



