\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-qtree,tikz-qtree-compat}
\newcommand*\1{$'$}
\newcommand\trace[1]{<#1>}
\begin{document}
\begin{tikzpicture}[baseline]\Tree [.TP [.\node (J3){DP\\John}; ] [.T\1 [.T\\PRES ] [.VP [.V\\seem ] [.TP [.\node (J2) {DP\\\trace{John}}; ] [.T\1 [.T\\to ] [.VP [.\node (J1){DP\\\trace{John}}; ] [.V\1 [.V\\like ] [.DP\\Mary ]]]]]]]]]]
\draw[->] (J1) edge[red,out=-90,in=-90] (J2);
\draw[->] (J2) edge[red,out=-90,in=-90] (J3);\end{tikzpicture}
\end{document}