## 2.23.2. Mortality Fluxes Merged to the Column Level[¶](#mortality-fluxes-merged-to-the-column-level "Permalink to this headline")
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Analogous to the treatment of litterfall fluxes, mortality fluxes leaving the vegetation pools are merged to the column level according to the weighted distribution of PFTs on the column (\\(wcol\_{p}\\) ), and deposited in litter and coarse woody debris pools, which are defined at the column level. Carbon and nitrogen fluxes from mortality of displayed leaf and fine root into litter pools are calculated as

(2.23.40)[¶](#equation-33-40 "Permalink to this equation")\\\[CF\_{leaf\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{leaf\\\_ mort} f\_{lab\\\_ leaf,p} wcol\_{p}\\\]

(2.23.41)[¶](#equation-33-41 "Permalink to this equation")\\\[CF\_{leaf\\\_ mort,lit2} =\\sum \_{p=0}^{npfts}CF\_{leaf\\\_ mort} f\_{cel\\\_ leaf,p} wcol\_{p}\\\]

(2.23.42)[¶](#equation-33-42 "Permalink to this equation")\\\[CF\_{leaf\\\_ mort,lit3} =\\sum \_{p=0}^{npfts}CF\_{leaf\\\_ mort} f\_{lig\\\_ leaf,p} wcol\_{p}\\\]

(2.23.43)[¶](#equation-33-43 "Permalink to this equation")\\\[CF\_{froot\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{froot\\\_ mort} f\_{lab\\\_ froot,p} wcol\_{p}\\\]

(2.23.44)[¶](#equation-33-44 "Permalink to this equation")\\\[CF\_{froot\\\_ mort,lit2} =\\sum \_{p=0}^{npfts}CF\_{froot\\\_ mort} f\_{cel\\\_ froot,p} wcol\_{p}\\\]

(2.23.45)[¶](#equation-33-45 "Permalink to this equation")\\\[CF\_{froot\\\_ mort,lit3} =\\sum \_{p=0}^{npfts}CF\_{froot\\\_ mort} f\_{lig\\\_ froot,p} wcol\_{p}\\\]

(2.23.46)[¶](#equation-33-46 "Permalink to this equation")\\\[NF\_{leaf\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{leaf\\\_ mort} f\_{lab\\\_ leaf,p} wcol\_{p}\\\]

(2.23.47)[¶](#equation-33-47 "Permalink to this equation")\\\[NF\_{leaf\\\_ mort,lit2} =\\sum \_{p=0}^{npfts}NF\_{leaf\\\_ mort} f\_{cel\\\_ leaf,p} wcol\_{p}\\\]

(2.23.48)[¶](#equation-33-48 "Permalink to this equation")\\\[NF\_{leaf\\\_ mort,lit3} =\\sum \_{p=0}^{npfts}NF\_{leaf\\\_ mort} f\_{lig\\\_ leaf,p} wcol\_{p}\\\]

(2.23.49)[¶](#equation-33-49 "Permalink to this equation")\\\[NF\_{froot\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{froot\\\_ mort} f\_{lab\\\_ froot,p} wcol\_{p}\\\]

(2.23.50)[¶](#equation-33-50 "Permalink to this equation")\\\[NF\_{froot\\\_ mort,lit2} =\\sum \_{p=0}^{npfts}NF\_{froot\\\_ mort} f\_{cel\\\_ froot,p} wcol\_{p}\\\]

(2.23.51)[¶](#equation-33-51 "Permalink to this equation")\\\[NF\_{froot\\\_ mort,lit3} =\\sum \_{p=0}^{npfts}NF\_{froot\\\_ mort} f\_{lig\\\_ froot,p} wcol\_{p} .\\\]

where _lab_ refers to labile, _cel_ refers to cellulose, and _lig_ refers to lignin. Carbon and nitrogen mortality fluxes from displayed live and dead stem and coarse root pools are merged to the column level and deposited in the coarse woody debris (_cwd_) pools:

(2.23.52)[¶](#equation-33-52 "Permalink to this equation")\\\[CF\_{livestem\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}CF\_{livestem\\\_ mort} wcol\_{p}\\\]

(2.23.53)[¶](#equation-33-53 "Permalink to this equation")\\\[CF\_{deadstem\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}CF\_{deadstem\\\_ mort} wcol\_{p}\\\]

(2.23.54)[¶](#equation-33-54 "Permalink to this equation")\\\[CF\_{livecroot\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}CF\_{livecroot\\\_ mort} wcol\_{p}\\\]

(2.23.55)[¶](#equation-33-55 "Permalink to this equation")\\\[CF\_{deadcroot\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}CF\_{deadcroot\\\_ mort} wcol\_{p}\\\]

(2.23.56)[¶](#equation-33-56 "Permalink to this equation")\\\[NF\_{livestem\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}NF\_{livestem\\\_ mort} wcol\_{p}\\\]

(2.23.57)[¶](#equation-33-57 "Permalink to this equation")\\\[NF\_{deadstem\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}NF\_{deadstem\\\_ mort} wcol\_{p}\\\]

(2.23.58)[¶](#equation-33-58 "Permalink to this equation")\\\[NF\_{livecroot\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}NF\_{livecroot\\\_ mort} wcol\_{p}\\\]

(2.23.59)[¶](#equation-33-59 "Permalink to this equation")\\\[NF\_{deadcroot\\\_ mort,cwd} =\\sum \_{p=0}^{npfts}NF\_{deadcroot\\\_ mort} wcol\_{p}\\\]

All vegetation storage and transfer pools for carbon and nitrogen are assumed to exist as labile pools within the plant (e.g. as carbohydrate stores, in the case of carbon pools). This assumption applies to storage and transfer pools for both non-woody and woody tissues. The mortality fluxes from these pools are therefore assumed to be deposited in the labile litter pools (\\({CS}\_{lit1}\\), \\({NS}\_{lit1}\\)), after being merged to the column level. Carbon mortality fluxes out of storage and transfer pools are:

(2.23.60)[¶](#equation-33-60 "Permalink to this equation")\\\[CF\_{leaf\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{leaf\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.61)[¶](#equation-33-61 "Permalink to this equation")\\\[CF\_{froot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{froot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.62)[¶](#equation-33-62 "Permalink to this equation")\\\[CF\_{livestem\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{livestem\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.63)[¶](#equation-33-63 "Permalink to this equation")\\\[CF\_{deadstem\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{deadstem\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.64)[¶](#equation-33-64 "Permalink to this equation")\\\[CF\_{livecroot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{livecroot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.65)[¶](#equation-33-65 "Permalink to this equation")\\\[CF\_{deadcroot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{deadcroot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.66)[¶](#equation-33-66 "Permalink to this equation")\\\[CF\_{gresp\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{gresp\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.67)[¶](#equation-33-67 "Permalink to this equation")\\\[CF\_{leaf\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{leaf\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.68)[¶](#equation-33-68 "Permalink to this equation")\\\[CF\_{froot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{froot\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.69)[¶](#equation-33-69 "Permalink to this equation")\\\[CF\_{livestem\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{livestem\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.70)[¶](#equation-33-70 "Permalink to this equation")\\\[CF\_{deadstem\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{deadstem\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.71)[¶](#equation-33-71 "Permalink to this equation")\\\[CF\_{livecroot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{livecroot\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.72)[¶](#equation-33-72 "Permalink to this equation")\\\[CF\_{deadcroot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{deadcroot\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.73)[¶](#equation-33-73 "Permalink to this equation")\\\[CF\_{gresp\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}CF\_{gresp\\\_ xfer\\\_ mort} wcol\_{p} .\\\]

Nitrogen mortality fluxes out of storage and transfer pools, including the storage pool for retranslocated nitrogen, are calculated as:

(2.23.74)[¶](#equation-33-74 "Permalink to this equation")\\\[NF\_{leaf\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{leaf\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.75)[¶](#equation-33-75 "Permalink to this equation")\\\[NF\_{froot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{froot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.76)[¶](#equation-33-76 "Permalink to this equation")\\\[NF\_{livestem\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{livestem\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.77)[¶](#equation-33-77 "Permalink to this equation")\\\[NF\_{deadstem\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{deadstem\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.78)[¶](#equation-33-78 "Permalink to this equation")\\\[NF\_{livecroot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{livecroot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.79)[¶](#equation-33-79 "Permalink to this equation")\\\[NF\_{deadcroot\\\_ stor\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{deadcroot\\\_ stor\\\_ mort} wcol\_{p}\\\]

(2.23.80)[¶](#equation-33-80 "Permalink to this equation")\\\[NF\_{retrans\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{retrans\\\_ mort} wcol\_{p}\\\]

(2.23.81)[¶](#equation-33-81 "Permalink to this equation")\\\[NF\_{leaf\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{leaf\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.82)[¶](#equation-33-82 "Permalink to this equation")\\\[NF\_{froot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{froot\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.83)[¶](#equation-33-83 "Permalink to this equation")\\\[NF\_{livestem\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{livestem\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.84)[¶](#equation-33-84 "Permalink to this equation")\\\[NF\_{deadstem\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{deadstem\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.85)[¶](#equation-33-85 "Permalink to this equation")\\\[NF\_{livecroot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{livecroot\\\_ xfer\\\_ mort} wcol\_{p}\\\]

(2.23.86)[¶](#equation-33-86 "Permalink to this equation")\\\[NF\_{deadcroot\\\_ xfer\\\_ mort,lit1} =\\sum \_{p=0}^{npfts}NF\_{deadcroot\\\_ xfer\\\_ mort} wcol\_{p} .\\\]
