Tariff Escalation and Invasive Species Risk



improvement since IS risk decreases with a reduction of tariff escalation. Since a reduction in
tariff escalation has ambiguous impacts on changes in the distribution of imported inputs and
domestic input use, we then focus on sufficient conditions that guarantee that the externality
from IS is not exacerbated by the reform but rather reduced.

Welfare in input market, except the transferable DI consumer surplus, is the D producer
surplus subtracted by the deadweight loss associated with the DI demand:

W = 05Dee [τ, - z,I" -zFG


IFGee]- D,(τ,τ,ra)dτ-DIe

= 0.5D[τ, -z,l" -ZmIFCGe]-KθτI)


1 θ 1 θ θ /(θ-ɪ),-ɪ/(θ-1)

---τ,       + τ,
θθI I


(22).


Proposition 3: Under assumptions of sections 3.1. and 3.3., reducing tariff escalation by
reducing the tariff on the imported final good and keeping the tariff on imported raw input

zI

constant increases total welfare and reduces invasive species risks if I >
zIFG


IFGee


- IFGe


DIe-DIee


z    IFGee - IFGe

Proofs: By lemma 2(ii), —— >-----------means that l l and D D .

zIFG    DIe-DIee

Moreover, given that IeeIe , we have


IFGee


-IFGe


DIe-DIee


IFGee -IFGe

>------------. Hence

Ie-Iee


zI   IFGee -IFGe

—— >-------

eee

zIFG      I-I


or zIee +z IFGee <zIe +z IFGe . This proves that the invasive
IIFG    IIFG

species reduce. It also proves, together with DeeDe that the D producer surplus increases:

0.5D [τ1 - (z1lee + zJFolFGee)] > 0.5De [T - (zJe + ziFθlFGe)].
II   IFG           II   IFG

Comparing deadweight loss associated with demand of DI, since τN <τ and θ< 1 we get that
lFG      lFG

DWLeDeldDWLeDld. We also know that welfare in the final good market only, which is the sum

18



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