Exponential or Power Distance-Decay for Commuting? An Alternative Specification

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How Do You Measure Distance in Spatial Models? An Example Using Open-Space Valuation (2010, background): “…to render the effects of distance more realistically, such as varying distance-decay functions, attractiveness indexes, or weighted impacts of competing destinations (Batten and Boyce, 1986; de Vries et al, 2009; Fotheringham and O'Kelly, 1989; Nijkamp and Reggiani, 1992; Petts and Eduljee, 1994).”
Accessibility of Cities in the Digital Economy (2004, background): “However, there has been a long debate in the literature on the adoption of an exponential or a power form from as far back as the 1970s and 1980s, with recent discussions in De Vries et al. (2009) and Reggiani et al. (2011a). Contrary to the above function, the power form better repres”
Distance-decay functions for daily travel-to-work flows (2014, background): “…(Isard, 1960 (and later Isard et al., 1998), Haggett, 1965, 2001; Abler et al., 1972 etc.), though its suitability for more specific tasks has been questioned, for instance by Hägerstrand (1962), Taylor (1971a), Cliff et al. (1974), Wilson (1974), Fotheringham (1981), De Vries et al. (2009).”