Commit 9eee1983 by Victor

 # The geotrait # The geotrait > This note has been taken from 2Y/articles/geotrait/mathematical_notes.md > This note has been taken from 2Y/articles/geotrait/mathematical_notes.md !!! note "'note' admonition" In Landscape Ecology, it is of particular interest to study the geographical position of the lineage through time. This is because richness patterns are thought to arise through allopatric speciation, where populations get separated in space and time. This is the topic of the following section. ## Julia accessors ## Julia accessors An agents of type Agent{Ancestors{true}} stores the values of its ancestors traits. From it, one can thus study the history of the lineage. An agents of type Agent{Ancestors{true}} stores the values of its ancestors traits. From it, one can thus study the history of the lineage. In Landscape Ecology, it is of particular interest to study the geographical position of the lineage through time. This is because richness patterns are thought to arise through allopatric speciation, where populations get separated in space and time. This is the topic of the following section. ## Projection of the geographic history ## Projection of the geographic history Consider a set of individuals which lineage geographical history has been stored in a vector $x^{(i)}(t)$. If individual $i$ was born at time $t^*$ then $x^{(i)}(t>t^*)$ represents its geographical position, while \$x^{(i)}(tt^*) represents its geographical position, while `x^{(i)}(t