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Travel patterns in both populations were well-fitted by a gravity model with a lognormal kernel function.
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We started the estimation of the trade models on the country data (non-zero flows only) by estimating a gravity model without fixed or random effects, using ordinary least squares estimation, and then moved on to estimate fixed effects models (both models not reported here for the sake of space) with fixed effects referring to the destination countries.
We also compared the pipe model to a "gravity" model where the probability of travel is scaled by physical distance; the gravity model did not differ significantly from the pipe model.
A geographic availability index was derived for each health planning area using a gravity model.
The 3D form of the batholith, to a depth of 7.5 km, is taken from a 3D gravity model presented by Willis-Richards (1986, 1990).
The assimilation of Flickr traces addressed some of the limitations of the gravity model: on the one hand, the flows over large distances, which are consistently underestimated by the gravity model due to the fast decay of the gravity law as a function of distance, can be successfully predicted by a hybrid gravity model.
This study identifies the key drivers for China's international trade delivered by air with an augmented gravity model, and investigates the country's air freight network using complex network analysis.
The selenoid is determined by the gravity model of degree 660 in the spherical harmonics obtained by the Gravity Recovery and Interior Laboratory (GRAIL) (Lemonie et al. 2013).
Transaction values among sub-regions of each sector are estimated by the gravity-RAS method, in which the initial values are obtained by the gravity model.
Recent empirics based on sound theoretical foundations have led to a richer and more accurate estimation and interpretation of the spatial relations described by the gravity model (Anderson [2011]).
In each panel, grey dots correspond to the flows between basins as predicted by the gravity model ((g_{ij})), by the Flickr model ((f_{ij})), and by the hybrid model combining both ((h_{ij})), in relation to the real flows, and as a function of distance between basins.
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