You can declare these characters. For example, like this:
\DeclareUnicodeCharacter{25CF}{$\bullet$}
\DeclareUnicodeCharacter{251C}{\mbox{\kern.23em
\vrule height2.2exdepth1exwidth.4pt\vrule height2.2ptdepth-1.8ptwidth.23em}}
\DeclareUnicodeCharacter{2500}{\mbox{\vrule height2.2ptdepth-1.8ptwidth.5em}}
\DeclareUnicodeCharacter{2514}{\mbox{\kern.23em
\vrule height2.2exdepth-1.8ptwidth.4pt\vrule height2.2ptdepth-1.8ptwidth.23em}}
A similar problem occurs with
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\begin{document}
Δ
\end{document}
when compiled with pdfLaTeX. It is a (slightly annoying for some) fact that inputenc's UTF-8 config file does not set up all Unicode characters for use with LaTeX. One of the reasons being that fonts in LaTeX contain significantly fewer code points than Unicode and it is not always possible to predict where the glyph resides (if it is present at all).
So as noted in the comments,
\DeclareUnicodeCharacter{0394}{$\Delta$}
or
\DeclareUnicodeCharacter{0394}{\ensuremath{\Delta}}
would be a solution to your problem. The latter has the advantage that it works in text and math mode, while $\Delta$ will fail if TeX is already in math mode, i.e. with input such as \(ΔR\) (thanks to @egreg for pointing this out in the comments).
The alternative solution of writing
title = {$\Delta\mathrm{R}$ Correction Values for the {Northern} {Indian} {Ocean}},
is what I would prefer here, but I don't know about the conventions in your field, maybe the R should be upright, ...
The software you use to export your .bib file should let you use TeX's math mode, so that you won't have to manually edit your .bib file all the time.
Alternatively, you can use of the engines that support Unicode natively, XeLaTeX or LuaLaTeX. With those engines you won't need \DeclareUnicodeCharacter because they can access system fonts directly where LaTeX's character limit does not come into play.
Best Answer
U+FB01 is an fi ligature which should never be in your source file. So best would be to edit the input and replace it by
fibut failing thatshould work.