OPINION
RABINOWITZ, Chief Justice.
This appeal and cross-appeal involve claims brought by owners of residential properties for damages allegedly sustained as a result of airplane noise attributable to the construction and operation of a new runway at Anchorage International Airport. The state, which owns and operates the airport, appeals from the judgment of the superior court rendered in favor of the homeowners on their inverse condemnation claims. The homeowners cross-appeal, challenging primarily the superior court’s order of partial summary judgment which dismissed their nuisance and trespass claims and the award of attorney’s fees.
I.
Facts and Proceedings Below.
The State of Alaska constructed a new north-south runway (“the runway”) at Anchorage International Airport, which was commissioned for use on October 29, 1980. Use began in November 1980. Anthony Doyle, Lowell and Tay Thomas, Rodman and Gwynneth Wilson, and John and Susan Overbey (“homeowners”) own residential real properties in the Tanaina Hills subdivision, situated approximately one mile south of the southern end of the runway. The homeowners contend, and the superior court found, that aircraft taking off toward the south from the runway and landing from the south on the runway pass over the area in which their properties are located at extremely low altitudes, thereby causing adverse effects (the most significant of which is noise) which have diminished the values of their properties. The state denies that the homeowners have been damaged because the southern takeoffs and landings are infrequent, and because the subject properties have not decreased in value.
In October 1982, the homeowners filed a complaint seeking compensation on theories of inverse condemnation of their properties, nuisance, and trespass. The superi- or court granted the state’s motion for partial summary judgment, dismissing the nuisance and trespass claims on the ground that the complaint did not sufficiently state independent claims for relief under either of these theories. The court also denied the state’s motion in limine, which sought to restrict the homeowners’ evidence to the preliminary appraisal report and deposition answers furnished to the state before trial. The matter was then tried to the court without a jury on the inverse condemnation claims.
At the close of the evidence, the superior court denied the state’s motion for a direct
ed verdict, entered judgment for the homeowners, and awarded them damages in the amount of $488,000, plus prejudgment interest, for a total of $715,000.22 exclusive of costs. In finding for the homeowners, the superior court essentially adopted their theory of the case: it held that a taking of an avigation easement occurred on October 29,1980, and found the homeowners’ valuation evidence more credible than that of the state. The court also denied the homeowners’ motion to award prejudgment interest compounded on an annual basis, ordering computation at the simple interest rate of 10.5% from October 29, 1980 until the date of judgment.
Subsequent to the filing of this appeal, the superior court entered an order awarding attorney’s fees of $76,786.00 to the homeowners pursuant to Alaska Rule of Civil Procedure 72(k).
A.
Did the Superior Court Err in Concluding That a Claim for Inverse Condemnation is Legally Cognizable When Governmental Action Adversely Affected the Rate of Appreciation of Property But Did Not Cause Its Market Value to Decrease?
The state argues that the homeowners cannot claim inverse condemnation of their properties because they did not prove that the fair market value of their properties decreased as a result of the noise attributable to the operation of the new runway.
More particularly, the state asserts that the superior court erred in concluding that a claim for inverse condemnation is legally cognizable in the circumstance “where competent proof establishes that the rate of appreciation of property value has been adversely affected by governmental action,” even though the property’s market value has not decreased.
The state further argues that the homeowners are not entitled to any damages under the takings clause of the Alaska Constitution because they have failed to prove any reduction in the fair market value of their properties attributable to the operation of the runway. We reject these contentions.
It is established that the proper measure of damages in an eminent domain proceeding in Alaska is the difference in the fair market value of the property before and after the taking.
Gackstetter v. State,
618 P.2d 564, 565 (Alaska 1980).
Article I, section 18 of the Alaska Constitution provides that: “Private property shall not be taken or
damaged
for public use without just compensation.” [Emphasis added.]
We have held that this clause should be liberally interpreted in favor of the property owner,
see Alsop v. State,
586 P.2d 1236, 1239
& n. 7
(Alaska 1978), and that the inclusion of the term “damage” affords the property owner broader protection than that conferred by the fifth amendment of the federal constitution.
See State v. Hammer,
550 P.2d 820, 823-24 (Alaska 1976). We have also stated: “The term just compensation implies
full indemnification
to the owner for the property taken. In other words the property owner
should be placed as fully as possible in the same position as he was in prior to the talcing of his property.” Ketchikan Cold Storage Co. v. State,
491 P.2d 143, 150 (Alaska 1971) (emphasis added).
See also Lange v. State,
86 Wash.2d 585, 547 P.2d 282, 285 (1976) (en banc);
Defnet Land & Inv. Co. v. State ex rel. Herman,
103 Ariz. 388, 442 P.2d 835 (1968) (en banc); J. Sackman, 4 Nichols’ The Law of Eminent Domain § 12.1[4] (rev. 3d ed. 1979).
Other courts have concluded that damages awarded to property owners should include compensation for a loss of appreciation caused by the governmental impairment. In
Steiger v. City of San Diego,
163 Cal.App.2d 110, 329 P.2d 94 (1958), significant appreciation in land values created problems in valuation of the subject property before and after the government impairment. The California court justified the inclusion of loss of appreciation in the damages award on the grounds that the award reflected the difference between the value of the property after the impairment and what the value would have been if the impairment had not occurred:
The trial judge, as the measure of damages, used the difference in the reasonable market value of the property before and after the injury.
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OPINION
RABINOWITZ, Chief Justice.
This appeal and cross-appeal involve claims brought by owners of residential properties for damages allegedly sustained as a result of airplane noise attributable to the construction and operation of a new runway at Anchorage International Airport. The state, which owns and operates the airport, appeals from the judgment of the superior court rendered in favor of the homeowners on their inverse condemnation claims. The homeowners cross-appeal, challenging primarily the superior court’s order of partial summary judgment which dismissed their nuisance and trespass claims and the award of attorney’s fees.
I.
Facts and Proceedings Below.
The State of Alaska constructed a new north-south runway (“the runway”) at Anchorage International Airport, which was commissioned for use on October 29, 1980. Use began in November 1980. Anthony Doyle, Lowell and Tay Thomas, Rodman and Gwynneth Wilson, and John and Susan Overbey (“homeowners”) own residential real properties in the Tanaina Hills subdivision, situated approximately one mile south of the southern end of the runway. The homeowners contend, and the superior court found, that aircraft taking off toward the south from the runway and landing from the south on the runway pass over the area in which their properties are located at extremely low altitudes, thereby causing adverse effects (the most significant of which is noise) which have diminished the values of their properties. The state denies that the homeowners have been damaged because the southern takeoffs and landings are infrequent, and because the subject properties have not decreased in value.
In October 1982, the homeowners filed a complaint seeking compensation on theories of inverse condemnation of their properties, nuisance, and trespass. The superi- or court granted the state’s motion for partial summary judgment, dismissing the nuisance and trespass claims on the ground that the complaint did not sufficiently state independent claims for relief under either of these theories. The court also denied the state’s motion in limine, which sought to restrict the homeowners’ evidence to the preliminary appraisal report and deposition answers furnished to the state before trial. The matter was then tried to the court without a jury on the inverse condemnation claims.
At the close of the evidence, the superior court denied the state’s motion for a direct
ed verdict, entered judgment for the homeowners, and awarded them damages in the amount of $488,000, plus prejudgment interest, for a total of $715,000.22 exclusive of costs. In finding for the homeowners, the superior court essentially adopted their theory of the case: it held that a taking of an avigation easement occurred on October 29,1980, and found the homeowners’ valuation evidence more credible than that of the state. The court also denied the homeowners’ motion to award prejudgment interest compounded on an annual basis, ordering computation at the simple interest rate of 10.5% from October 29, 1980 until the date of judgment.
Subsequent to the filing of this appeal, the superior court entered an order awarding attorney’s fees of $76,786.00 to the homeowners pursuant to Alaska Rule of Civil Procedure 72(k).
A.
Did the Superior Court Err in Concluding That a Claim for Inverse Condemnation is Legally Cognizable When Governmental Action Adversely Affected the Rate of Appreciation of Property But Did Not Cause Its Market Value to Decrease?
The state argues that the homeowners cannot claim inverse condemnation of their properties because they did not prove that the fair market value of their properties decreased as a result of the noise attributable to the operation of the new runway.
More particularly, the state asserts that the superior court erred in concluding that a claim for inverse condemnation is legally cognizable in the circumstance “where competent proof establishes that the rate of appreciation of property value has been adversely affected by governmental action,” even though the property’s market value has not decreased.
The state further argues that the homeowners are not entitled to any damages under the takings clause of the Alaska Constitution because they have failed to prove any reduction in the fair market value of their properties attributable to the operation of the runway. We reject these contentions.
It is established that the proper measure of damages in an eminent domain proceeding in Alaska is the difference in the fair market value of the property before and after the taking.
Gackstetter v. State,
618 P.2d 564, 565 (Alaska 1980).
Article I, section 18 of the Alaska Constitution provides that: “Private property shall not be taken or
damaged
for public use without just compensation.” [Emphasis added.]
We have held that this clause should be liberally interpreted in favor of the property owner,
see Alsop v. State,
586 P.2d 1236, 1239
& n. 7
(Alaska 1978), and that the inclusion of the term “damage” affords the property owner broader protection than that conferred by the fifth amendment of the federal constitution.
See State v. Hammer,
550 P.2d 820, 823-24 (Alaska 1976). We have also stated: “The term just compensation implies
full indemnification
to the owner for the property taken. In other words the property owner
should be placed as fully as possible in the same position as he was in prior to the talcing of his property.” Ketchikan Cold Storage Co. v. State,
491 P.2d 143, 150 (Alaska 1971) (emphasis added).
See also Lange v. State,
86 Wash.2d 585, 547 P.2d 282, 285 (1976) (en banc);
Defnet Land & Inv. Co. v. State ex rel. Herman,
103 Ariz. 388, 442 P.2d 835 (1968) (en banc); J. Sackman, 4 Nichols’ The Law of Eminent Domain § 12.1[4] (rev. 3d ed. 1979).
Other courts have concluded that damages awarded to property owners should include compensation for a loss of appreciation caused by the governmental impairment. In
Steiger v. City of San Diego,
163 Cal.App.2d 110, 329 P.2d 94 (1958), significant appreciation in land values created problems in valuation of the subject property before and after the government impairment. The California court justified the inclusion of loss of appreciation in the damages award on the grounds that the award reflected the difference between the value of the property after the impairment and what the value would have been if the impairment had not occurred:
The trial judge, as the measure of damages, used the difference in the reasonable market value of the property before and after the injury. Neither party quarrels with this rule of damages but, in effect, defendant city says there was no evidence on which the court could apply this rule and there was no difference in the reasonable market value because the evidence reflects the reasonable market value was greater than it had been before the drainage installations. Defendant city does not contend the installations enhanced the market value but does insist that since there was evidence that the value of the property was greater in later years the court had no right to award damages. Defendant city’s position would require a court to hold that where there is a general economic inflationary period causing an increased price, and damage is sustained during that period of time, there can be no dollar recovery. We do not believe this position is sound. In the instant case there is substantial evidence that the land without the damage was worth $131,800 and with the damage, $83,500. Further, there was evidence that property in the area had appreciated in value.... It is common knowledge that land in California, and particularly southern California, has had a heavy appreciation in market price and value during the time period here in question.... Under the evidence in this case the court was justified in making an award of $20,-000....
Id.
329 P.2d at 98-99.
See also State ex rel. Herman v. Southern Pacific Co.,
8 Ariz.App. 238, 445 P.2d 186, 189 (1968) (fair market value is not the only means for determining just compensation).
In a recent inverse condemnation decision involving airport noise, the Washington Supreme Court similarly recognized the importance of taking into account the factor of appreciation and adjusting the “loss of market value” measure accordingly:
In inverse condemnation actions ... the landowner is entitled to full and fair compensation for the loss of his property rights. In many instances this measure is the difference between the market value of the land before the injury and the
value immediately after the injury. Where the injury is permanent but also increases over time, the full measure of damages is the total loss of market value traceable to the interference. Thus a landowner’s recovery will not be diminished by the appreciation of value in the general real estate market, if any. Otherwise, if an unadjusted market value measure were applied, in a period of increasing property values the appreciation during a ten-year period of continuing interference conceivably could offset the loss of value inflicted by the interference.
Highline School Dist. No. 401 v. Port of Seattle,
87 Wash.2d 6, 548 P.2d 1085, 1090 n. 5 (1976) (en banc) (citations omitted).
We find the foregoing authorities persuasive. A claim for loss of appreciation of property is compensable if it represents value that would have been realized as of the date of taking, if the taking had not occurred.
The homeowners’ appraisers in this case employed the “before and after” rule, based on the October 29, 1980 taking date, to determine the value of the subject properties in this case, although they denominate it the “inside-outside” method:
The inside, outside analysis is merely an explanation of that before and after situation we have here. In other words, the inside is, so to speak, the after fact approach and the outside value would be the before value, before the north/south runway....
[W]e valued the property as of October 29th on the assumption that the runway was not built and we called it an outside value because we used comparables outside the impacted area, and then we also valued the subject’s properties [sic] ... on an inside value based on information found inside the impacted area.
[T]he method that we used was the inside/outside approach to value of the affected properties. And it’s sometimes called the before and after approach....
For each of the properties appraised in this way, the homeowners’ experts found “a fairly substantial diminution in value compared to the outside location.” We thus conclude that the superior court did not err in holding that in the circumstances of this case the homeowners had a legally cognizable claim for damages.
B.
Did the Superior Court Err in Accepting The Opinions of The Homeowners’ Appraisers and Therefore in Finding That The Subject Properties Sustained Compensable Damage as a Result of Aircraft Flight Involving the North-South Runway?
Under this specification of error the state contends that three of the superior court’s findings of fact relating to the homeowners’ appraisals and to the damages based thereon are clearly erroneous.
The first finding that the state questions, relating to the homeowners’ appraisals and to the damages based thereon, is:
34. The plaintiffs’ appraisers, Follett and Boucher, appraised each property using an “inside/outside” method, concluding that each had been diminished in value as of October 29, 1980 in the amount stated in Paragraph 36 of these Findings of Fact.
The state argues that this finding is incorrect because, although Follett did testify as to substantial damages, he did not state that any of the subject properties “diminished in value” and that this finding is also inconsistent with Conclusion of Law 2(a) that no decrease in value occurred. Follett did testify that properties in the Tanaina Hills subdivision were increasing in value at all times relevant to the case; he also testified that the “trend analysis” he performed indicated that the subject properties were appreciating at an annual rate of approximately 13.7%. However, he also testified that the average appreciation rate for similar properties in neighborhoods unaffected by airport noise was about 16%, and stated in his memorandum that for similar outside properties the annual rate of appreciation ranged from 13% to 20%. He and Boucher concluded that “the properties inside the subdivision, although they went up in value, appreciated at a lower rate than comparable homes that were outside the impacted area.”
Given the foregoing we cannot say that the finding of the superior court was clearly erroneous.
The state also challenges finding of fact No. 35, which reads:
35. The Court finds that Follett and Boucher are competent appraisers, and accepts their opinions in this case as accurate. The Court particularly found Mr. Follett to be credible and expert, and hence, accorded substantial weight to Mr. Follett’s methodology and opinion testimony....
Our review of the record persuades us that there is no basis for the state’s attack on this particular finding.
Thirdly, the state also challenges the superior court’s finding which sets forth the amounts of damages that it found the homeowners sustained:
36. The Court finds that the subject properties suffered compensable damage as a result of the new north-south runway, as of October 29, 1980, in the following amounts:
Lot 2 $110,000
Lot 4 $ 90,000
Lot 5 $ 80,000
Lot 24 $ 28,000
Lot 1 $ 15,000
Lot 3 $ 15,000
Tract A $150,000
The state argues that these amounts of damages cannot be supported, even if the homeowners’ appraisers’ testimony is correct, because the difference in appreciation rates between the inside and outside properties (13.7% versus 16%) could not yield such large reductions in value.
We think the state’s contention must be rejected, since the superior court’s finding as to damages is supported by adequate evidence. Furthermore, the state overlooks the testimony that trend analysis alone does not indicate the market value of individual properties and that the percentages cannot be applied across the board to reach estimates of value:
A trend is merely an average and there is always the possibility that the average doesn’t cover the particular properties involved_ [Cjurrently there’s an oversupply of lower priced condominiums in Anchorage and so they are flat market [sic] or possibly a decrease ... whereas you may have a situation of large homes there’s an under supply, they could be increasing and so a trend would average the two and might show an increase or a decrease but it wouldn’t reflect what was happening in individual properties.
One appraiser also added that the trend of 13.7% for properties within the subdivision was based on only two sales and resales of properties and thus would not lead to any reliable conclusion concerning all the homes in the subdivision.
C.
Did the Superior Court Err in Denying the State’s Motions in Li-mine Seeking to Limit the Testimony of the Homeowners’ Appraisers and its Motion to Allow an Offer of Proof to Rebut “Surprise" Evidence Presented by the Appraisers?
1.
Motions in Limine.
The state filed a motion in limine seeking to limit the evidence presented by the homeowners’ appraisers to the preliminary appraisal report and deposition answers provided to the state three weeks before trial, and argued that allowing additional appraisal evidence at trial would be unfair because the homeowners had not disclosed the reasoning and analysis supporting their appraisers’ opinions. The homeowners argued in opposition that the appraisers’ study and analysis was not yet complete when the parties had exchanged appraisal reports, that the additional information reflected the appraisers’ continued work, and that the appraisers had produced no new formal. written report and would testify consistently with the opinions previously expressed. The court denied the motion in limine, indicating that proof of a willful evasion or failure to comply with discovery procedures would be necessary to overcome the policy against exclusionary evi-dentiary orders, but continued the trial for one day, ordering the parties to take supplemental depositions in order to cure potential problems of surprise and prejudice and to produce all relevant supporting documentation that would be used at trial. The superior court left open the possibility that a further continuance would be granted if the supplemental depositions suggested additional trial preparation time was needed.
The state renewed its motion in limine immediately prior to the date the homeowners’ appraisers were scheduled to testify, claiming it had been surprised by additional data revealed in the supplementary depositions and newly produced report. The court denied the renewed motion but granted the state a continuance of approxi
mately two weeks to review the new information and prepare for cross-examination of the appraisers. The state did not argue that the continuance was insufficient nor did it object to proceeding with the appraisers’ testimony when the trial resumed.
Considering the superior court’s implicit finding that the homeowners’ actions did not rise to the level of willful evasion of discovery obligations, we hold that the superior court did not abuse its discretion in giving continuances in lieu of granting the state’s motions in limine.
2.
Offer of Proof.
The state also argues that the superior court’s rejection of its offer of proof prejudiced its efforts to rebut the homeowners’ damages estimates, contending that the denial of the motion to allow the offer of proof precluded it from introducing testimony and market data to rebut the homeowners’ new evidence. The state’s counsel asked to make the offer of proof after the superior court had twice sustained the homeowners’ objections to testimony concerning real estate transactions (“comparable sales”) not previously disclosed during discovery; the court suggested that the offer of proof be submitted in writing “after the trial day” ■ and in the meantime sustained the homeowners’ objection. Several weeks later the state made its formal offer of proof, a lengthy document containing evidence “discovered or confirmed” during the two-week continuance. The homeowners opposed the introduction of this evidence on the grounds that the offer of proof had been untimely and included substantial evidence which had not been previously offered by the state and excluded at trial. The court denied the offer of proof.
In this case, the sustained objections, in response to which the state made its offer of proof, concerned questions involving expert opinions based on specific real estate transactions that counsel for the state conceded in part may have constituted newly developed information not shared through discovery, and as to which the trial court limited the examination of the witness to information previously exchanged or already in the record. A comparison of the transcript and the state’s offer of proof demonstrates that the offer of proof clearly exceeded the scope of the evidence which the superior court excluded.
We see no error in the superior court’s rejection of the state’s offer of proof.
The court’s ruling reflected its judgment that this evidence had not been properly disclosed through discovery, that the state’s offer was untimely, and that the state’s offer contained evidence not reasonably within the scope of the court’s exclusionary rulings.
D.
Cross-Appeal.
The homeowners in their cross-appeal challenge five rulings of the superior court:
(1) the grant of the state’s motion for partial summary judgment dismissing the homeowners’ nuisance and trespass claims; (2) the denial of the homeowners’ motion for leave to amend their complaint; (3) the denial of their motion to strike the opinion testimony of the state’s appraisers as lacking foundation; (4) the computation of prejudgment interest on the damage award; and (5) the attorney’s fees award.
1.
The Superior Court’s Grant of Partial Summary Judgment Dismissing Homeowner’s Nuisance and Trespass Claims.
The homeowners in their reply brief state that they will waive their cross-appeal of this issue in the event this court affirms the superior court’s judgment on their damage claim. Since we have affirmed the superior court’s judgment on the inverse condemnation claim, this issue is deemed waived.
2.
The Superior Court’s Denial of Homeowners’ Motion to Amend Their Complaint in Connection With Their Nuisance and Trespass Claims.
As to this specification of error, the homeowners have again indicated that they will waive their cross-appeal as to this issue in the event of an affirmance on the direct appeal. Thus, we need not reach this issue.
3.
The Superior Court’s Denial of Homeowners’ Motion to Strike the Opinion Testimony of the State’s Appraiser.
The homeowners concede that we need not reach this issue if this court affirms the superior court’s judgment on the inverse condemnation claims.
4.
The Superior Court’s Computation of Prejudgment Interest.
The homeowners contend that the superi- or court erred in declining to award prejudgment interest at a rate of 10.5% compounded annually, because awarding simple interest on the judgment at that rate does not yield the substantial equivalent of what they would have received had compensation been paid on the date of the taking. The state does not contest the homeowners’ entitlement to prejudgment interest at 10.5%, but does argue that the superior court properly computed the award on a simple interest basis.
AS 09.30.070 provides that, absent a specific written contractual agreement, the
rate of interest on judgments and decrees for the payment of money is 10.5% per year. In
Alyeska Pipeline Serv. Co. v. Anderson,
669 P.2d 956, 956 (Alaska 1983), we held that AS 09.30.070 does not provide for compound interest on judgments.
We affirm the superior court’s ruling declining the homeowners’ request for compound prejudgment interest.
5.
The Superior Court’s Award to the Homeowners of Less Than the Full Amount of the Attorney’s Fees Owed Under Their Contingent Fee Agreement.
The homeowners argue that the superior court erred in awarding them less than the actual amount of attorney’s fees owed un-
der their negotiated contingent fee agreement because they do not retain the full amount of “just compensation” to which they are constitutionally entitled. The state counters that the superior court properly awarded fees pursuant to Civil Rule 72(k) by multiplying the hours actually spent working on the case by the normal hourly billing rate charged by each person performing the work.
In
Williams v. City of Valdez,
603 P.2d 483, 494 & n. 38 (Alaska 1979), we indicated that Civil Rule 72(k)(5) could, where appropriate, apply in inverse condemnation cases.
Although full attorney’s fees are the norm under Civil Rule 72, those fees must be both reasonable and necessarily incurred to obtain just compen
sation.
Resource Inv. v. State, Dept. of Transp. & Pub. Facilities,
687 P.2d 280, 283 (Alaska 1984). Thus, in applying Civil Rule 72, the trial court “may award less than the full amount of the charge[s] when it finds the amount unreasonable in view of the nature and extent of the services rendered.”
Badger Constr. Co. v. State,
628 P.2d 921, 923 (Alaska 1981) (footnote omitted). The trial court’s decision to award less than a party’s actual fees will not be disturbed unless that decision appears to constitute an abuse of discretion.
Resource Inv.,
687 P.2d at 283. Here we can see no abuse of discretion on the part of the superior court.
The homeowners argue that the actual attorney’s fees owed under their contingent fee agreement were reasonable and necessarily incurred because they could not afford to pay fixed fees on an hourly basis and because such agreements represent the norm in condemnation litigation practice. In support of their position, the homeowners cite
Wise Mechanical Contractors v. Bignell,
718 P.2d 971 (Alaska 1986). In
Bignell,
we found no abuse of discretion by the trial court in taking into account the contingency of counsel’s right to compensation in determining a reasonable attorney’s fee. We pointed to Alaska Code of Professional Responsibility DR 2-106(B), which includes contingency among the factors to be considered in determining a reasonable fee, and emphasized the necessity for contingent fee agreements in worker’s compensation cases due to the injured worker’s inability to pay.
Id.
at 974-75. We did not, however, suggest that a contingent fee agreement should control the amount of attorney’s fees awarded, merely that the agreement could be considered.
Here the superior court had the facts concerning the contingent fee agreement before it when it considered the homeowners’ request for $357,500.10 in attorney’s fees. Given this circumstance and considering the issues involved and the length of trial, as well as the fact that the just compensation awarded to the homeowners was $715,000.22, we conclude that the superior court did not abuse its discretion in its award of attorney’s fees by making such fees commensurate with the time committed by counsel.
AFFIRMED.