Jeffro
The Battle of Carchemish occurred in the summer of 605 BCE (confirmed by relative astronomical observations during the reign of Nebuchadnezzar in LBAT 1420), which Jeremiah 46:2 says was during Jehoiakim’s 4th year. This constrains the possible dating systems in Jeremiah to Nisan/accession (starting from the year that began in Nisan of 609 BCE) or Tishri/non-accession for kings of Judah. Zedekiah's 11th year in either reckoning necessarily corresponds to 587 BCE.
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What you post on your various blogs on your website are simply a contrivance with pretty coloured charts attempting to synchronize two different calendars with two different regnal dating methods similar or identical to the method used by Edwin Thiele in his MNHK as with other chronologists. That is fine for all schemes of chronology are a contrivance.
Your Blog on '586 or 587? does not address the difference between the two proposed dates but is simply an attempt to prove 587 as a matter of preference. The simple fact is that one cannot prove the date of the Fall by using such methodology for all that can be done is to design a table that proves or demonstrates a particular date/dates for a specific event/events. It simply amounts to nonsense. For example, you assign for the beginning of the siege the date 27th January 589 BCE whereas Thiele proposes the date 15th January 588 BCE. You admit however "Additionally, the reference to Zedekiah's 9th year in verse 1 restricts the beginning of the siege to around January 589 BCE or 588 BCE" . So, what is it? Your methodology along with Thiele's is hopeless and that is why Rodger Young abandoned such methods in trying to resolve the 586/587 dispute.
scholar JW