Premium
DERIVATIVES OF FLOWS IN A DOUBLY CONSTRAINED GRAVITY MODEL
Author(s) -
Bröcker Johannes
Publication year - 1990
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1990.tb00096.x
Subject(s) - consistency (knowledge bases) , constraint (computer aided design) , sensitivity (control systems) , set (abstract data type) , mathematics , function (biology) , mathematical optimization , matrix (chemical analysis) , computer science , geometry , materials science , electronic engineering , evolutionary biology , engineering , composite material , biology , programming language
For many practical applications it is important to know how the flows in a doubly constrained gravity model react to slight variations in the predetermined marginal totals. The first‐order approximation of these variations is a linear function on the set of feasible variations of marginal totals, i.e., the set of variations not violating the consistency constraint of the model. Several methods to find a matrix describing this linear function are developed and compared with former contributions to this issue. Finally, applicability of the methods to sensitivity and error propagation analysis is demonstrated.