cat's a bunch of log rotate log files in correct order

logrotatecat

#!/bin/bash

# using,
#
#     ./logrotatecat access.log
#
# inside a directory of log rotate logs in a form like
#
#   access.log
#   access.log.1
#   access.log.2.gz
#   ...
#
# do a cat on all the files in order from oldest at the top
# to newest at the bottom

# To the extent possible under law, the person who associated CC0
# with this work has waived all copyright and related or neighboring
# rights to this work.
# http://creativecommons.org/publicdomain/zero/1.0/

type="$1"

# glob access files in the current directory
for f in `ls ${type}* | sort -V` ; do
  log_files=("${log_files[@]}" "$f")
done

# reverse the order
for i in $(seq ${#log_files[@]} -1 0) ; do
  if [[ $i != ${#log_files[@]} ]] ; then
    f=${log_files[$i]}

    # cat the file
    if [[ $f == ${type}.*.gz ]] ; then
      zcat $f
    elif [[ $f == ${type}.*.bz2 ]] ; then
      bzcat $f
    else
      cat $f
    fi
  fi
done

for the sort command -V option is not present, In that case what needs to be done?