Social-economic plans are originally illusive under growing repetition/activity/duration of unexpected atypical weather phenomena recently occurred. The paper discusses conceptually this aspect of the sustainable development taking into account the limits of good-for-human-activities reproduction of a local seasonal weather pattern depending on directions of the dynamics evolution in the corresponding climate system. The discussion is developed from the fundamentals of the theory of nonlinear dynamics. This view clarifies indicators to existence/absence of sustainable development grounded on the insuperable physical laws. The corresponding novel method of identification of these indicators (denoted by the method of transients) is formulated and potentiality of its realization is investigated by processing the meteorological data of temperature observation. It is illustrated that a way to consider soundly non-stationary nonlinear dynamics opens once the perverted partition onto “weather” and “climate” is eliminated and nonlinear, regulatory and inertial properties of dynamical processes in local climate systems become analyzed integrally. Finally the conclusions are summarized.