taipei taiwan president tsai ing-wen accept resignation premier lin chuan rule party say monday departure widely expect president fall public support taiwan presidents often shuffle premier response dip popularity lin face mount pressure step tsai popularity plummet 29.8 percent august private foundation survey show take office may 2016 approval rat high 70 percent president accept resignation sincere talk tsai democratic progressive party dpp say statement taiwan system president important office hold job commander chief head state prime minister appoint president lead cabinet tsai likely look ahead 2020 re-election campaign freeze relations china backlash pension reform revise labor rule among controversies put pressure replace lin preparation campaign lin say party reach point must embark next stage mission resign pave way president re-organize team resources purpose say presidential office say new premier would announce tuesday william lai popular mayor southern city tainan lead dpp figure widely expect replace lin lai premiership would necessary help president improve rat analysts say need reboot current rat low say alex huang professor tamkang university taipei refer tsai lin add must hard decision tsai friendship lin sort bite bullet clear path ahead president next premier huang say representatives opposition kuomintang kmt express scepticism tsai would build effective partnership lai replace lin like see work together say lai shyh-bao kmt legislator tsai lai reputations overbear domineer lin criticize legislators opposition also dpp tsai praise great communicator introduce last year lin close confidant president retain trust could become next central bank governor current governor perng fai-nan retire next year taiwan premier resign help shore president 's fall popularity